diff --git "a/data/dm_maths/full_data/11236_11255.jsonl" "b/data/dm_maths/full_data/11236_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11236_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (f**(3\/4)\/(f\/(f**(-1\/4)\/f)*f))**(-10\/13) assuming f is positive.\nAnswer: f**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467269212?\nAnswer: 2, 3, 193, 201757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + p**2 + 31*p - 7*p - 16. Let u be b(-11). Let l(j) = -j**3 + 8*j**2 - j + 4. Does 10 divide l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*l + 15459988, 2*a + 82*l - 15459994 = 80*l. What is a rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 2352\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -2\/73, 46, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q**4 + 0*q)*(31856 + 8510 + 4196) + q**4 + 4 - 4.\nAnswer: 89125*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/1*(-1)\/(-2). Let m = 2\/2105 - 2113\/8420. Let z = 8 + -13. Put p, m, z in descending order.\nAnswer: m, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - y + 6 - 15, -y + 3 = 4*n. Suppose -4*l = -2*k - 6, k - 3*l = n*k - 12. Solve 4*z - 3*a + 6 - 13 = 0, -2*a - 16 = k*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86485447 to the power of 1\/2, to the nearest integer?\nAnswer: 9300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-360)\/(-882)*-7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167574357.\nAnswer: 3, 19, 269, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10474*c + 607. Is u(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:29 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 5*f = -75, f - 55 = 2*d. Let j be 969998\/(-5) + (-1)\/(d\/(-10)). Round j to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 83.\nAnswer: 12\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 206143, 206061, 205957, 205831, 205683, 205513?\n\"Answer: -11*x**2 - 49*x + 206203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6*h - 54 = 0. List the prime factors of (27\/45 - h\/(-5)) + 94.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6859*h**2 + 15591*h**2 - 435*h**2 + 2752 + 2*h wrt h?\nAnswer: 16594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 - 161. Let y be 1\/(-10) + -2 + 6648\/80. Let u = m - y. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -416, -974, -1796, -2906, -4328, -6086, -8204?\n\"Answer: -4*p**3 - 96*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n + 3. Let h be g(5). Let o(d) = 9*d - h*d - 1 - 1. What is o(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 10:26 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-20)\/10)\/((-2)\/(-5)))\/(2\/(-38)). What is the greatest common factor of n and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-21))\/(6\/(-42)). Let y(d) be the third derivative of -7\/20*d**5 - 15\/8*d**4 - 1\/40*d**6 - l*d**2 + 0*d - 9\/2*d**3 + 0. Factor y(h).\nAnswer: -3*(h + 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1364 and 385?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199553616 and 4?\nAnswer: 199553616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1. Let x be a(5). Suppose -1500 = x*d + d. Let s be (-40)\/(1 + 303\/d). What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 999 and 999?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -140 - 228. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*z + 483 = -641, -k - 4*z = -263. Calculate the highest common divisor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 + 12*j**3 - 570*j**2 - 300*j + 12375 = 0.\nAnswer: -15, -5, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/708350 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825 is divided by 918?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -11 - 13. Let v = 250 + -144. Suppose -w = 3*j - v, -2*j + 50 = 4*w - 14. Calculate the highest common divisor of b and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 3*b + 3*b)*(-2*b**3 + 2 - 2) + 2*b - 2*b**5 - 2*b + 2*b**3 + 2*b**5 - 2*b**3 + 0 - b**5 + 0 + b**5 + 0*b**5 + b**5.\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*u + 35*u - 111*u**2 - 82*u as n*u**2 + z + s*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 - 11*j**2 + 3*j + 3. Let k(z) = 11*z**3 - 17*z**2 + 4*z + 4. Let x(v) = 8*b(v) - 5*k(v). Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 18. Let n be (c\/10 - (-20)\/50)\/1. Factor 1\/2*q + 0 - 9\/4*q**2 + 7\/4*q**n.\nAnswer: q*(q - 1)*(7*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 2*v**3 + v**3 - 49*v**2.\nAnswer: -v**3 - 43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2689.7 - 2877. Let v = -188 - t. What is the closest to 0 in v, 1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 65*l - 6. Suppose 5*d = -4*w + 22, -4*w + 4*d - 11 = -5*w. Let q be k(w). Calculate the highest common divisor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(-4 + (5 + (sqrt(1008) - (sqrt(1008) + 1)))**2 + 1 + (sqrt(1008) - (-1 + sqrt(1008))**2))*-5.\nAnswer: -2880*sqrt(7) + 79680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000 (base 2) in base 4?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 5*v - 90 = 0. Suppose v*m - 56 = 44. Solve -2*c - 5*l = m, -6*c - 4*l + 9 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqy when three letters picked without replacement from {y: 1, x: 3, f: 2, p: 1, b: 2, q: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 119348412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1753 - -3413. List the prime factors of c.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 7*o + 95. Suppose 0 = 5*x + 90 - o. What is the least common multiple of x and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1018 - -1487. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2715?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*y**2 + 995019*y - 3*y**2 - 997413*y - y**3 to the form f*y**2 + v*y**3 + l + o*y and give o.\nAnswer: -2394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:37 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 13. Let x be g\/(-7) - (48\/21 - 2). Sort 27, x, 2 in descending order.\nAnswer: 27, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:46 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48120, -48098, -48064, -48012, -47936, -47830, -47688, -47504?\nAnswer: -47272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -21. Suppose z*v = -3*v + 42. What is the first derivative of 3 - v*t + 6*t - 8 wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-60)*-5)\/((454116\/208)\/71)\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13657 + 13893. Solve 240 - q = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19554125.809 + -4.97.\nAnswer: 19554120.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -28*d - 4598. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10589, -21140, -31655, -42134?\nAnswer: -52577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1700 is divided by 22\/(-363) - 20804\/(-231).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 112421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 179. Let l = -42 - h. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13769.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -33378 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/14)\/((-1116)\/(-7812))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1092 = -3*o, o + 6*i - 368 = 4*i. What is the remainder when o is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -856396 not equal to -856396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293063081 is divided by 331.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -58, -25, 5, -3, 0, 21.\nAnswer: -58, -25, -5, -3, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 364\/(-84) + 100\/30. Which is smaller: p or -3\/680?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*w + 16, -2*w + 10*f = 12*f - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3226 = -3*w. Let r = -16208\/5 - w. Suppose 327 = -9*o + 192. Does o = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.393941 and -0.4?\nAnswer: -0.1575764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - w - 2. Let u be z(2). Let l(o) = u*o - o**2 + 2 + 2*o**3 - 16*o - 4. What is l(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**2 - 4*b + 8. Let r be k(4). Suppose 0*w = 4*w + r. Let t = 72 + w. What is the remainder when 87 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -99385*q + 1590136. Determine u(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8213 + -8211. Factor 0 - 1\/2*y - 1\/2*y**3 - y**z.\nAnswer: -y*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124749 is divided by 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 1 (c) 1\/6 (d) -3 (e) -330336\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 189*s. Let p(o) = 95265 - 4*o - 47637 - 47631. Give t(p(h)).\nAnswer: -756*h - 567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 53. Let n = h + -12. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 - v**2 - 3*v**2)*(4*v - 11*v + v) - 166*v**3 + 9*v**3 - 39*v**3 - 4*v**3 - v**3 + 3*v**3 as p + j*v**3 + d*v + g*v**2 and give j.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1380 and 74175?\nAnswer: 296700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 108. Let y(o) be the third derivative of 0 + 0*o**5 + 1\/15*o**6 - 1\/24*o**4 + 0*o + 0*o**3 - b*o**2. What is the second derivative of y(i) wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z - 3. Determine t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000332718 to six decimal places.\nAnswer: 0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 655070644 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1774.41 from 0.05.\nAnswer: -1774.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/5 - 435654\/(-90)*1?\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 - 552*y**3 - 236658*y**2 - 6731640*y - 49572675.\nAnswer: -(y + 15)**2*(y + 813)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -887.57 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -17\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a1a - 5?\nAnswer: 5a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:39 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 133. Let d = -45 - j. Let r be 2 + (-3)\/6*-6. Solve 4*i - t - d = -0*t, 20 = r*i + t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1450, -1449, -1448?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-27) - 2\/6. Suppose -l + 2 = 2*d, -f*l = d + 2*d - 3. Solve p = -0*p + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31, -128, -289, -514, -803, -1156, -1573?\n\"Answer: -32*f**2 - f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293514126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + 17 - (-208 - -288)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/43027 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4113 - 6?\nAnswer: -4119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 809595 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3 - 7. Let s(a) = -a**3 + 2*a**2 + 2. Let d(v) = 4*v**3 + 2*v**2 + 2. Let t(w) = -w**3 - w**2 - 1. Let q(f) = d(f) + 3*t(f). Give i*s(c) - 2*q(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7017 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + h**2 - 649*h + 2 + 645*h to the form m + d*h + r*h**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -792 + 792 - 153*v - 18*v as d*v + i and give d.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -6\/7, 2\/13, 7\/2 in decreasing order.\nAnswer: 7\/2, 2\/13, -6\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 - 3*i - 2. What is h(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:38 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-1 - 0 - -3). Suppose 3*v - f - 776 = p, -1018 = -4*v - f - f. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/6 + c. Let z(x) = -5*x. Calculate z(u(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-4*g + 2*g + 3*g)*(g**2 - g**2 + 2*g**2).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000152868836 to 7 dps.\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 7, w: 5, f: 4}. Give prob of picking 1 b and 1 s.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 16*i**3 - 24*i**3 + 17*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.321 + 1.321. Let m = -3 + 4. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29374.9 + 29390.0069. Let k = 15.1 - j. What is k rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 2, 0, -16, -3, -2 in increasing order.\nAnswer: -16, -3, -2, 0, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 14) to base 8\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (3 - 1 - 64) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 418*t + 15 = -421*t, 5*f - 4*t - 20 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -34109?\nAnswer: 10232.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 3. Let k be h(0). Let n(t) be the second derivative of t**3 + 1\/3*t**4 + 2*t - 5*t**2 + 0. Let u(f) = f**2 + 2*f - 3. Give k*n(s) - 10*u(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3 - r - 5*r + 3*r. Let g be x(5). Let i = -8 - g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 3*d + 9. Suppose 2*v - 10 = v. Calculate the remainder when v is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5867915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 23*n + 88 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38\/5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 194*a - 172*a - 1232. Calculate the highest common divisor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88514 is divided by 1455.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5114655 and 1425?\nAnswer: 485892225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101556 (base 9) in base 14?\nAnswer: 17d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/900 + 7*s**5\/300 + 2*s**4\/15 + 2*s**3\/3 - 61*s + 68. Let q(t) be the third derivative of f(t). Solve q(v) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -10 + 12 - 2) + 44 + -32?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 190736.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421106 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -2. Let v be 4*2*(-1)\/(-4) + -1. Let n = v - 3. Put f, n, 0 in increasing order.\nAnswer: f, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.2 + 39. Let s = -5 - t. Let g = 1 - 0. What is the smallest value in g, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54647 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -12, -3*q + 19*a = 14*a - 90. What is the smallest common multiple of 8702 and q?\nAnswer: 87020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, j: 1, y: 1, t: 1, g: 2}. What is prob of picking 1 y, 1 j, and 1 i?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9613 or -1\/156?\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5129252*b*k**3 + 25311427*k**3 with respect to b.\nAnswer: 5129252*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, j: 1, k: 2}. What is prob of picking 1 d and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8145788 - 49?\nAnswer: -50.8145788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l - 2*l**2)*(-6 + 4 + 0)*(-11*l + 14*l + 16*l) to the form s*l**2 + d + x*l**3 + b*l and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-8))**(-14\/11)\/(r**(-1\/7)\/r)**(-20) assuming r is positive.\nAnswer: r**(-1172\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/363 and 7\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29.8031nm?\nAnswer: 0.0000000298031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -6 in ascending order.\nAnswer: -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 733308, 733242, 733176, 733110, 733044?\n\"Answer: -66*v + 733374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*v + 1498 + 3277, 4*v - 4793 = -3*c. Suppose 10*d - 21*d + c = 0. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/1270 + -253\/1270. Let z = -75 + 376\/5. Let t = z + -1\/15. Which is the second smallest value? (a) t (b) 3\/2 (c) -2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*k**3 - 94*k**3 + 173*k**3)*(-k + k - k) + 0*k**3 + 0*k**3 - 2*k**4.\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1305 - 2517 + 2279)*(-1 + 1 - 2*j).\nAnswer: -2134*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.8 + 19.3. Which is the closest to 1? (a) q (b) -5.7 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 4\/11, -0.41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.5 - -28. Let m = -0.5 + x. Which is the nearest to m? (a) 8 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + x = -359, 585 = 10*s - 5*s - 5*x. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from mfmffm?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 5, 0.1 in ascending order.\nAnswer: -55, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -13 + 3513 + (-20)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 - 11*n + 24. Give q(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2635*d**2 + 2613*d**2 - 2 - 2*d**3 - 5191*d**2 - 3*d in the form s*d**2 + a*d + t + c*d**3 and give s.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + l**2)*(0*l + 0*l - 2*l**3) + 2*l**3 - 2*l**3 + 2*l**5 + 2*l**5 + 0*l**4 + 0*l**4 + 7*l - 7*l - l**5.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k = 117*k - 145*k - 2304 - 654 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i + 3\/2*i**2 - 3. Let c be l(4). Solve y - 4*g - c = 0, -2*y - g = g - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*g**2 - 9485*g - 6330.\nAnswer: 5*(g - 633)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 - 2\/2)*-1. Let h = 56 - 39. What is the greatest common divisor of z and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 44*f**2 - 90*f + 8. Give z(24).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(448) + sqrt(448) - sqrt(448))*5 - (-1 + -2 + sqrt(448)))*3)**2.\nAnswer: 7488*sqrt(7) + 66033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 13*r = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 3101?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-24))\/(-14 - -4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 10*g**6\/3 - 26*g**5 + 28*g**4 + 272*g**3\/3 + 64*g**2 + 207*g. Factor h(t).\nAnswer: 4*(t - 4)*(t - 2)*(5*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 24. Let n(w) be the second derivative of 5*w**2\/2 + 7*w + 1. What is -2*b(v) - 11*n(v)?\nAnswer: 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50511 by 12.\nAnswer: -16837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*g - k - 530, -320 + 363 = 3*g + 4*k for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.4419\nAnswer: -0.13257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 4 + -2 + ((sqrt(2448) + -1 + 5 - sqrt(2448)) + -2*sqrt(2448) + -1)**2 + -4).\nAnswer: -39196 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 - (-46)\/69. Let g(n) = c*n - 5 - 5 + 2 + 3. What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174, 214, 256, 300, 346, 394, 444?\n\"Answer: g**2 + 37*g + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 297 - -1042. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*k = -5, -91*k + 86*k = -58*v + 605 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*r - 5*r + 53*r + 97*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823139 is divided by 84.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*j, -36*q + 34*q + 5 = -j. Let p be (0\/4)\/q + -19300. Round p to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 294435*w + 294440.\nAnswer: -5*(w - 1)*(w + 58888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1710618 divided by 1183\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyjv when four letters picked without replacement from {v: 2, y: 2, j: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -41. Suppose 3*u + 0 - 18 = d. Solve -4 = -5*j + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:37 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*x. Let s be (((-108)\/99)\/(36\/(-264)))\/((-4)\/16). Sort -5, s, x.\nAnswer: s, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990 less than or equal to 4390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 19. What is n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 27 = 13. Which is smaller: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138, 270, 412, 564?\n\"Answer: 5*z**2 + 117*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2147, 1110, 73, -964, -2001, -3038?\n\"Answer: -1037*c + 3184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -16. Calculate the least common multiple of n and (2\/6)\/((-7)\/(-147)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8724 = 4*o - 8756, 4*o + d = -16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7133 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -683 - -1115. Calculate the highest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (133 - 133 + 351*x**2)*(-2 + 6 + 2*x**2 - 2) as f*x**2 + o + k*x**4 + z*x**3 + r*x and give k.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**6\/360 + u**5\/24 - u**4\/6 + u**3 + 1. Let p(r) be the third derivative of v(r). Calculate p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71051 and 939?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) + 2*(sqrt(162) + -3))**2 + sqrt(24)\/sqrt(3) + 1.\nAnswer: -313*sqrt(2) + 1495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-300)\/4)\/((-23)\/24 - -1). Is 13 a factor of k\/(-22) + 5\/(-110)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2) + 3 + (-315)\/(-63). Let b = 0.7 - 0.3. Put l, -1, b, 1\/4 in decreasing order.\nAnswer: l, b, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6675\/30)\/(-89)*(-7)\/(-7)*(-136)\/90\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28)*k**(-41)*k)\/((k\/((k**(1\/43)*k)\/k))\/k*k**(-31)) assuming k is positive.\nAnswer: k**(-1590\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 3*s + 12. Let r be j(-6). Suppose 0 = -5*g + 55 - r. Suppose -2*z - 63 = -g*z. What is the least common multiple of 18 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 1536939?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33955013 or -33955014?\nAnswer: -33955013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242429, -242417, -242393, -242351, -242285?\nAnswer: -242189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 5*n**2 - 2*n + 4. Let w(o) = -o**3 - 3*o**2 - o + 2. Let l(s) = 2*h(s) - 5*w(s). Let x be l(-4). List the prime factors of 6\/(-9)*(-195)\/x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 3) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + 3839\/55 + 2\/10. Let q be (108\/(-585))\/(8\/p). Is -2 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/627*2*(-30)\/160.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/5, 0.0256, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6.4. Let p = 242 + -240. What is the closest to p in s, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*c + t, -c + 5*c + t = 152. Suppose 2*j + 2*q = -c, 0*j + 4*q + 31 = -j. Round j to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137398 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**3 - 37*q**3 - 34*q**3 - 4*q - 80*q**3.\nAnswer: -184*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2430) + sqrt(2430) + sqrt(2430))\/(sqrt(20)\/(sqrt(2)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58523577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -340?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 123. Which is the nearest to k? (a) 0.07 (b) -3 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -16. Let j be ((-26)\/(-6))\/(q\/(-15)). Suppose 0 = 6*a - 2*a - 104. What is the highest common divisor of j and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69377 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 2*m + 0*m - 5 + 2*m + 5 + (-1 - 2 + 5)*(2*m + 0*m - 4*m) + 2*m + 0*m + 0*m + (2*m + 0 + 0)*(-2 + 2 + 2) + 5 - 5 - m + 8*m - 11*m - 4*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-9)\/6)\/3. Let v(x) be the second derivative of 0*x**2 + 0 + 0*x**z + 1\/20*x**5 + 1\/3*x**4 + x. Find the third derivative of v(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*r = 177 - 31, -3*r = -u + 57. What is the units digit of 3640\/2*u\/105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 211202210001?\nAnswer: 211202202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -33 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 1. Let f(h) = 17*h + 104. Let m be f(-6). Suppose 21*k + m = 22*k. Determine g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*s + p, -p = 4*s - 0*p - 112. Suppose 0 = 466*j - 397*j - 7107. What is the remainder when j is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15. Let w(o) = o**2 - 4. Let s be w(3). Is 2 a factor of (1\/s - f)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t + 2. Suppose t*n - 18 = 16. Suppose -9 = -d - 2*d, 4*d - 39 = -3*x. What is the remainder when n is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3\/c*c*c)\/c)\/c)**(-42)\/(c\/c**(-2\/35)*(c\/c**3)\/c) assuming c is positive.\nAnswer: c**(-2872\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*g**6 - 11*g**5 + 30*g**2 + 3*g.\nAnswer: -1440*g**3 - 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16363 or 2?\nAnswer: -16363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(272) - 2*sqrt(272)) + sqrt(272))**2 + -1 + sqrt(272)*-1.\nAnswer: -4*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12545.2378 minus -326683?\nAnswer: 314137.7622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**3 - 17*g**2 + 204*g + 10. What is y(4)?\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2 - 1 - 2)*(-43*a**3 + 2*a + 59*a**3 - a).\nAnswer: 64*a**4 - 16*a**3 + 4*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-75)\/(-180)*(-582)\/2231*3\/(-120).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/367 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 2*w**4 + 2*w**4 + (-w + 0 + 0)*(4*w**3 - 3*w**3 + 0*w**3) - 5*w**4 + 4*w**4 - 4*w**4.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l - 88. Let n be i(6). Are n and -43\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = i - 4*i + 2*l, 0 = -2*l + 6. Suppose y = i*y + 3. What is the closest to y in -1, -4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*1*(-8)\/(-12). Let v(m) = -m**3 - 7*m**2 - 6*m + 3. Let o be v(-6). Let g be (o*-1*2)\/k. Solve -d - 5 = -4*s + s, -g*d - 1 = 5*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3220 - -8048. What are the prime factors of u?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)\/(5*(-10 + 9)). Let p(f) be the second derivative of 1\/18*f**3 + j*f**2 + 0 + 1\/18*f**4 + 7*f + 1\/60*f**5. Determine c so that p(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/9770580 and -104\/55335.\nAnswer: 68394060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15849 and 5480819.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) 3 (c) -0.4 (d) 3\/7 (e) 0.04 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1925559 and 7641?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 66169 - 15.3\nAnswer: 66153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3 and -10\/267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j**(-15))\/j*j*j**15 assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Suppose -d = -1 - g. Solve d*j + 0*j + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 2*u**2 - u. Let r(c) be the first derivative of -c**4\/4 + 17*c**3\/3 - 15*c**2\/2 - 18*c + 11. Let s be r(16). Calculate z(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 9*a - 3. Let v be y(-8). Suppose v*t - 4 = 3*t. Let x(k) = -3*k**2 + 4*k**2 - 3*k**t. Let d(q) = 2*q. Calculate d(x(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5272, -10549, -15826?\nAnswer: -21103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1\/21, -3\/5, 0.1, -6 in descending order.\nAnswer: 0.1, 1\/21, -0.06, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -18. Suppose -5*w + 5*c = 35, 0*w = n*w - 4*c + 6. Let r = w + 75. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68067.\nAnswer: 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -2. Suppose 25 = -4*k + 2*w + 151, 0 = -3*k + 3*w + 96. Let t = 27 - k. Put x, t, -3 in decreasing order.\nAnswer: x, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 40, -1, 5, -4 in ascending order.\nAnswer: -4, -3, -1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3627 divided by -1.\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 0*i + 8 - 11\/2*i**2. Let r(o) = -2*o. Calculate r(w(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1159, -2319, -3479?\nAnswer: -4639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8351 (base 12) in base 15?\nAnswer: -4397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127885 is divided by 3356.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46175.\nAnswer: 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -28. Let r be z\/16 + 5\/(-20). Which is the second smallest value? (a) 4 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10))**(-23)\/(q**1\/(q**(-3)*q)*q**(-2)*q\/(q*q\/q**(-1\/2))*q) assuming q is positive.\nAnswer: q**(459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -616246753 - -616246782.0000009. Let o = -29 + i. Round o to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41268 - -58155. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l - 24. Let q be ((-8)\/12)\/(2\/l). Suppose -4*u + 7*u - 15 = 0. Solve -u*b = -q*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*29\/(-8613)*15\/(-40)*-6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8436.4 * 2.\nAnswer: 16872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**2 - l**2 - 2*l**2 - 1 + 2*l**2 + 1 + (4 + l - 4)*(1 + 2*l - 1) + 3*l**2 - l**2 - l**2 + 0*l**2 + 2*l**2 + 6*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 3*g**2 - 2*g**2)*(g - 4*g - 2*g) + 6*g**3 + 5*g**3 - 14*g**3 + 5*g**3 + 2*g**3 + 2*g**3 in the form h*g**2 + p*g + q*g**3 + i and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 5 (b) 15 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*r**3 + 18*r**3 + 22*r**3 + 74 wrt r.\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 - 4*h**2 - 4*h - 3. Let i be m(-2). Suppose i*x + 12 + 3 = 0. Is (-348)\/(-9)*x\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i - 6. Let x(y) = -4*y + 1. Let n(g) = -2*r(g) - 11*x(g). Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (-361528*28\/448)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-606)\/(-14) - (344\/28 + -31 + 558\/31)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/102*-8*((-3)\/90)\/(2\/(-5)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.8996 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 485819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3848 is divided by 367.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204372 and 1008.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.66 - -0.62. Let u = n + 6. Round u to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 18. Let r be f(9). Calculate the remainder when 12\/r*1*(-102)\/4 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-2\/11)\/l)\/l*l\/l**(1\/5))**(7\/5) assuming l is positive.\nAnswer: l**(-147\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*i + 2*p, 2*i + 3*p + 12 = -5. Let q(w) = -w**3 - 2*w**2 - 12*w - 3. Is q(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y + 16. Let j be q(2). Suppose -r + 63 = j. Are r and 1\/12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 13774213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 8 = x, -2*o - 4*x + 16 = 0. Suppose -3*f = -o*f - 16200. Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 388\/54543?\nAnswer: 388\/54543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 828*h + 130143. What is g(-157)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*b - 50, -7*j - 2231 = b - 3*j - 2261 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*d*k**2 - 2*b*k**2 + 1576*b*k - 2*b + 630612*d*k**2 - k**2 - 388*k + 1 wrt d.\nAnswer: 3*b*k**2 + 630612*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186.5 + -45.5. Sort r, -6, -0.2 in descending order.\nAnswer: r, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 11, -1.6, -0.5, 1\/3.\nAnswer: -1.6, -4\/7, -0.5, 1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - i - 1 = 0, 0 = 1141*f - 1136*f - 2*i - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20)*4)\/(1*sqrt(100)))**2*-3*2.\nAnswer: -384\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38047 > 4337503\/114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1998 + 4.\nAnswer: -1994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10860, -79544, -265982, -629052, -1227632, -2120600, -3366834, -5025212?\nAnswer: -7154612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21933761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 + 2*q**2.\nAnswer: -2*q**2*(q - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -927674, -927672, -927670?\n\"Answer: 2*l - 927676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231266.94100185 + 231267. Let x = 0.059 - q. Round x to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -11212210?\nAnswer: -11212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01035539 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w + w)*(0 - 1 + 0) - 2*w**2 + 0*w**2 + 3*w**2 - 3*w**2 - 89*w - 18 + 89*w.\nAnswer: -4*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 746 - 70. Let v be (-5)\/4*t\/84. Which is the fourth smallest value? (a) v (b) 2\/5 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1222903 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8350800 divided by 25?\nAnswer: -334032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 804032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - (4 - 2))) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + -9 - (3 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35233278*g. Let x(a) = a**2. Calculate j(x(r)).\nAnswer: 35233278*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*q - 5*r, 0*r + 30 = q - 4*r. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*q + 3*n, -34 = -5*q - 2*n + 104. What is the remainder when 51 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3032*v + 15 = 3035*v, 9*v = 5*p - 115 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -28. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 - 232*k**3 - 2848*k**2 - 34432*k\/3 - 15360.\nAnswer: 2*(k - 360)*(k + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.752879.\nAnswer: 4.517274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (156\/24)\/(-13)*(-4)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - (0 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 65 = 6*a. Solve -5*b + a = -5*r, 4*r = -3*b - 3 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/44*(-2)\/(-18)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4729235, -9458476, -14187719, -18916964, -23646211, -28375460?\n\"Answer: -i**2 - 4729238*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(252) + 0 + sqrt(252) + -1 + (-1*sqrt(252) - sqrt(252)) + 5 + (4 + sqrt(252) + (1 + sqrt(252) - sqrt(252)) - sqrt(252)*-2*-4))**2.\nAnswer: -588*sqrt(7) + 12397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 253, 955, 2363, 4717, 8257, 13223?\n\"Answer: 40*y**3 - 7*y**2 - 23*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 644*j**2 - 5344*j + 10816.\nAnswer: 4*(j - 4)**2*(j + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48600493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/8 - o**3\/2 + 24*o**2 + 130*o - 350 = 0.\nAnswer: -10, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 33*h**2 - 3*h + 2. Let w be g(1). Let n = -71 + 71. Suppose w*a - 34*a + 502 = n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19291 and 1537719363.\nAnswer: 1537738654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + -480. Let v = 2734\/5 + q. Calculate the common denominator of -58\/7 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t**2)*(0*t + 2*t - 7*t) + (-2 + 4 - 1)*(-t**3 + t**3 - t**3) - 5*t**3 + t**3 + 3*t**3 - 3*t + 3*t - t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33570465 by -11190155.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 (base 9) in base 5?\nAnswer: -12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 5180 = 3*v, -6475 = -5*y + 5*v. Suppose 10*x - y = 5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, -29, -1, 0, -42 in descending order.\nAnswer: 0, -1, -29, -42, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2653 (base 9) to base 8\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19770 = 38*c - 8*c. List the prime factors of c.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*j + 155*j + 24. Let o = -28 - -27. What is the least common multiple of ((-3)\/o - 3) + 57 and j?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by (13 - 1)*21\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 47*g**2 - 564*g + 564*g - 30*g**3 in the form m*g + v + z*g**2 + n*g**3 and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5 - 8 = -3*l, u + 16 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4368\/136 - 4\/34. Let z = q - 23. What is the second derivative of 1 + z*l**3 - 1 + 4*l + 8*l wrt l?\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 41. Calculate i(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/7*w**3 - 51\/7*w**2 + 675\/7 + 89*w = 0.\nAnswer: -1, 25, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 + 902. Suppose -3*o + 2 = -2*o. Solve o*u = l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/6711, 5, -5 in descending order.\nAnswer: 5, 4\/6711, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i + 94*i = 21. Put 121, i, 2 in decreasing order.\nAnswer: 121, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -34. Let g be 56\/v*1*3. Suppose -3*y - 19 = -2*z, -7*z + 10 = -2*z + 5*y. Solve 0 = -3*j + z*j + g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1)\/n))**31*n\/(((n\/n**(-3\/2))\/n)\/n)*(n\/((n**4\/n)\/n*n*n)*n)\/n*n assuming n is positive.\nAnswer: n**(183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 42. Let b be i(-41). Let z(v) = -8*v**2 - 2*v - 2. Calculate z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, -54.2, 0.01, -4\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j - 8. Let r(i) = 12856 - 25717 - 4*i + 3*i + 12862. Suppose 0 = 4*b - 8*b + 4. Determine b*w(q) + 6*r(q).\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -116961411 at most as big as -116961410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*i + 35*i + 125*i - 79*i to n*i + z and give n.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -112*z - 3182. Give t(-28).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 8) to base 16\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3\/(-1) - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/8)*(952\/(-2380) - 702\/(-480)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2834 and -20.408.\nAnswer: -2854.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 31*c + 71. Does 19 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/21 (b) 2\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 505 and 10.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616093499 to the nearest integer?\nAnswer: 24821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose -4*i + 12 = -s*c + 4*c, 8 = -4*c. Solve 2*v + 0*v - 6 = 2*g, v - i = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*q - 12, -4*q = q. Suppose -x*n + 42 = 2. Suppose 3*z - 5*b = n, -4 = 4*z - 2*b - 36. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -11 + 15 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a964 (base 12) in base 5?\nAnswer: 20220204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-23 - u + 1 + 13).\nAnswer: u + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2946 + 2950. Solve -10*d = -14*d - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889266*r**2 - 7*r**3 + 444638*r**2 + 444639*r**2.\nAnswer: -7*r**3 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1128 - -653. Let g be 8\/(-10)*z\/(-6). Let m = -64 - g. What is the nearest to -1\/4 in 2, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -366 + 731\/2. Which is the closest to -4? (a) 0.1 (b) 15 (c) g (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 244*l + 589*l - 47*l + 96224 for l.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + 68999?\nAnswer: 6896e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/28 - -1 - (-42)\/8. Suppose -1025 = -0*v - h*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 72436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*m**4 + 5*m**2 + 881*m + 12827268 wrt m.\nAnswer: 308*m**3 + 10*m + 881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506173 is divided by 506153?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 23. Let j = l - 6. Suppose -3*f + j = f. Solve f*i + 14 = -4*h, -h + 4*i - 14 = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9989090?\nAnswer: 2, 5, 998909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -280177\nAnswer: -280182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6430181*n**3 + 2931542.\nAnswer: 19290543*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*b**2\/3 + 8216*b - 986\/3.\nAnswer: 2*(b + 493)*(25*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 3068 = -3804 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23935 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 2. Let q be n(-3). Let j = q - -6. Suppose 0*r = -j*r + 20. Calculate the highest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*n**2)*(4*n + 0*n - 6*n) + (0*n**2 - 3*n**2 + n**2)*(n + 3*n - 2*n))*(0 + 2 - 1).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5\/36 (c) -3.16 (d) 0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 3*d)*(-44*d + 44*d + 70*d**2) - 5*d**3 + 8*d**3 - d**3.\nAnswer: -138*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1452 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Let s = -567 - -567. Put s, -3, t, 3 in decreasing order.\nAnswer: 3, s, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-9)\/12 + (-72)\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -1137*d**4\/4 - 1501*d - 924. What is the first derivative of o(w) wrt w?\nAnswer: -3411*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*q**3 - 206*q**3 - 341*q**3.\nAnswer: -392*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(11))**2*2 + sqrt(11) + 1 + 4 + sqrt(22)\/((-1*sqrt(18) - sqrt(18))\/sqrt(9)))*5.\nAnswer: -75*sqrt(11)\/2 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -345\/4*n**2 - 6*n**5 - 225\/4*n + 45*n**4 - 15\/2*n**3 - 21\/2 = 0. Calculate n.\nAnswer: -1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -9, -12, -5.\nAnswer: -12, -9, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2159 - -2199. Let t(s) = 2*s + 17. Let d be t(-7). Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 - 5 = 5*j, 0 = -j - 4. Suppose -81 = -v*w - 6. Suppose s - w = -2*s. What is the second biggest value in -1\/5, s, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1337805042 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -1. Let k = -0.6 - -0.8. Which is the third biggest value? (a) k (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9339023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, -4, 1 in increasing order.\nAnswer: -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-2*sqrt(704))**2)*6 + (-5 + sqrt(704) + 0)**2*3)*5.\nAnswer: -1200*sqrt(11) + 95445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/144 and 26.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117*61\nAnswer: 7137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -66*h**3 - 80*h**2 - 132*h - 234. Let v(a) = 2*a**3 + 2*a**2 - 2*a - 3. Let j(t) = 2*c(t) + 68*v(t). Factor j(u).\nAnswer: 4*(u - 14)*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*z - 0*z + 13, 4*n - 5*z + 11 = 0. What is the closest to 2\/15 in 4, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 5. Let d be g(4). What is the second derivative of 4279 + d*y**4 - 75*y - 4279 + 33*y**4 wrt y?\nAnswer: 504*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 29. Calculate p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 301650 divided by 10055?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 101.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.179*0.029\nAnswer: -0.005191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*5)\/(1*sqrt(24)\/sqrt(3)) + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7097\/428 - -18\/107. Suppose 32 = 2*a - 2*n - 8, -3*a + 4*n = -64. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a**2 + 8*a**2 - 13*a**3)*(-3 + 4 - a - 3) in the form i*a**4 + n*a**3 + v + c*a + r*a**2 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 - 54927?\nAnswer: -54866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/42 and 52\/22627635?\nAnswer: 316786890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512011 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1103, 1097, 1073, 1031?\n\"Answer: -9*q**2 + 21*q + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*q - 1507, -212 = -h - 2*q + 81. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39810036.1537 and 1.\nAnswer: -39810035.1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from rrivjevviirvjreienri.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 516234317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = 0, -4*u + 24 + 51 = -5*f. Suppose -19*r + 20*r = 0. Suppose -17*o + 346 + 113 = r. What is the remainder when o is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12 + (-4012)\/3. Let l be s\/(-12) - (-9)\/(-6). What is the greatest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmmmmnnnnnmnnnjmmm. What is prob of picking 3 n and 1 m?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -18) + -33 - (1 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 30. Let p = -32.69 - s. Let k = p + 0.6899856. What is k rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*h*w**3 - 1708267*h*w - 124298792*w**3 wrt h?\nAnswer: 23*w**3 - 1708267*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17641549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -664, -1311, -1958, -2605, -3252?\n\"Answer: -647*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32262174, 32262163, 32262146, 32262123, 32262094?\nAnswer: 32262059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1124 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60750*g**2 - 27*g + 12*g + 15*g.\nAnswer: 60750*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -b - 22. Let d = b - 54. Let o = 206 - d. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 + 232 = 9*b. Let t = b - 28. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*i + 55 - 709 = 0. Which is the closest to -1\/3? (a) 0.4 (b) -1 (c) i (d) 19\/140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1148\/1405 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28302 is divided by 1068.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/7 + 822*m**2\/7 - 6034*m + 455370\/7 = 0. Calculate m.\nAnswer: 15, 43, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 + 5*s**3 + 17*s**3)*(15 - 15 + 4*s)*(-1 + 4 - 2).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 + (0 - 0) + -1. Suppose 3*f + 40 = 136. Let z = x + f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -1, 5, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 339*j**3 + 8*j**2 - 6. Let p(r) = -57*r**3 - r**2 + 1. Let v(n) = 6*a(n) + 34*p(n). What is the third derivative of v(m) wrt m?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 14. Calculate i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40793 - 13217. Suppose -4*z + r = -9640. Suppose 2*x - 721 - z = 5*n, -9980 = -2*x - 4*n. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:57 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 96864*w\/7 - 387488\/7.\nAnswer: 2*(w - 4)*(w + 48436)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 195*a**2 - 10*a**2 + 20*a**2 - 1 - a**2 + 1 + (-6 + 3*a**2 + 6)*(0 + 3 - 4) to the form u + k*a**2 + z*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 74*i - 667. Determine k(-29).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 2, s: 4, t: 1, l: 1}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**8\/84 - 2*k**7\/15 + 3*k**6\/5 - 22*k**5\/15 + 13*k**4\/6 - 2*k**3 - 2*k**2. Factor i(a).\nAnswer: 4*(a - 3)*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -848 - -1339. List the prime factors of h.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256884031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 45*r**3 + 45*r**2 - 12*r + 60. Let i(y) = -18*y**3 - 18*y**2 + 5*y - 24. Let z(l) = -5*a(l) - 12*i(l). Does 14 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let q = 35716 + -35717. What is the closest to q in -0.05, i, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:05 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*h + 10, -4*h + f = -9*h + 2. Suppose 0*t = -5*t + n + 130, h = -3*t - 3*n + 78. Solve 3*s - 2*z + 7 = -0*z, 0 = -2*s - 4*z - t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**4 + 2*s**3 + s. Let o(m) = 518*m**4 + 4*m**3 + 2*m + 1098. Let i(b) = 2*j(b) - o(b). Find the first derivative of i(x) wrt x.\nAnswer: -2080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2909 and 534.\nAnswer: 1553406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*x = 330*x - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**0)\/z)\/z)**(-12)*(z*z**(2\/7))**(10\/11)*(z**(2\/7))**17\/(z\/(z\/(z*z\/z**7))*z**(-1\/4)) assuming z is positive.\nAnswer: z**(3473\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1556508 and 42.\nAnswer: 10895556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/f**6*f**(-1)\/f**4 assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 4. Let u(f) be the second derivative of f**3\/3 + 3*f**2\/2 + 241*f - 9. Calculate 2*p(o) + 3*u(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769460 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 3*r + 2. Let p be 15\/(-10)*(-2)\/3 - 0. Suppose 0 = 6*l + p - 13. Let v be w(l). Solve -6*q + 4*q = -5*n - 17, -v = 5*n - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(21\/(-12)))\/((-2)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose 13*n + 37 = 63. Suppose 80 = a*r + 4*m, -m + 111 = 3*r + n*m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/429128 and -61\/28.\nAnswer: 429128","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4586.\nAnswer: 41274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578772 a multiple of 626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 10:35 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.75574 litres to millilitres.\nAnswer: 18755.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -2.2. Let p = 113\/5 - 23. Let q be ((-2)\/2)\/((-67)\/(-134)). Which is the closest to i? (a) p (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/189*(147\/(-28))\/(-7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-36) + 1614\/27. Suppose 6*b + x = 12*b. Solve 3*q + 3*w - b = -2*w, -8 = -4*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -0.079?\nAnswer: -1.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78397881.\nAnswer: 3, 26132627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -24401453520779?\nAnswer: -24401453520783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, -1\/4, 3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 1, g: 1, m: 1, s: 1, t: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 5996*l + 5999*l - 6 to the form c*l + m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235989480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-18)*(-48)\/(-56). Solve z*u - 53 = -41 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 225895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 7*u + 6. Let q be p(-6). What is the tens digit of 15\/(1 + q) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 25 + 43. Does 17 divide -1*i*1 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -3592, -7854, -13800, -21430, -30744, -41742?\nAnswer: -54424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let n = -3824 - -3827. Solve o*x = -x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*(k**(-2)\/k)\/k*k)\/(k*k*k**5))\/((k**2\/k)\/((k*k*(k*k*k**(-4\/7)*k)\/k*k)\/k)))**36 assuming k is positive.\nAnswer: k**(-1404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 298056247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431 + 2*z - 451 - 26*z**3 + 25 to k + s*z + a*z**2 + i*z**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/((-48)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(1\/4)\/j*j))\/j**(-1))\/(j**(-1)\/j)**19*j**(-1)\/(j*j\/(j*(j\/j**8)\/j))*j\/(j**(-2\/5)*j)*j\/j**(3\/10) assuming j is positive.\nAnswer: j**(617\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*z - 3201*r + 3197*r, -30 = 5*z + 5*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 - 4*j**3 - 5 + 23*j**3 + 5.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yeyij?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10752, 43952, 99580, 177636, 278120, 401032, 546372?\nAnswer: 714140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5221*j**2 + 14*j + 16. Let s(g) = -13632030*g**2 - 36561*g - 41784. Give 5223*l(z) + 2*s(z).\nAnswer: 5223*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 4*n**2 + 0*n + 0 + 1\/24*n**4 + 1\/6*n**3. Let h(v) = 1. What is 2*d(b) - 5*h(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/14291?\nAnswer: -2\/14291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0 - 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 294 = 4*o - q, 3*q + 3 = 0. Find the first derivative of 103*v**2 + 12*v + 57*v - 248 + o*v**2 - 318*v**2 + 106*v**2 wrt v.\nAnswer: -4*v + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 31. Let f be (-1)\/1*q\/(-2). Let u be (f\/(-48))\/(2\/16). Solve 5*v = -4*s - 17, -2*v = u*v - 2*s - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5239198.344 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 2*q**2 + q + 2. Calculate b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = -3*m. Suppose 3*k = -6 - 6. Which is the closest to 1? (a) m (b) k (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Suppose 0*l + w*l = 0. Suppose l*z + 185 = 5*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 497, 4121, 14047, 33455, 65525?\n\"Answer: 530*b**3 - 29*b**2 + b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2782)\/286 - -10 - 105\/(-220). Let k = -6 - -11. Suppose 0 + 9\/4*x**k - 3\/4*x**2 + d*x**4 + 0*x - 9\/4*x**3 = 0. Calculate x.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 751*p**5 + 17*p**2 wrt p?\nAnswer: 45060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q + q + q + q - 3*q + 0*q + q - 3*q + q - q - q + (-2 + 2 - 1)*(-q + 4*q - q) + 2*q + 3*q - 3*q + 3*q + q - 2*q + 0 - 5 + q + 10.\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-20)\/(-3150))\/(2\/(-10))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*x**3 - 51*x**3 - 44*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 712065*g + 14952042.\nAnswer: 3*(g + 21)*(g + 237334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 129 and 134 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcccchhccccchcchcccc. Give prob of picking 3 h.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-78)\/16)\/(-13))\/((-1)\/2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90273607?\nAnswer: 29, 211, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.717 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 88*u**2 - 63*u**2 - 8)*(1 + 1 - 1)*(1 - 1 - 2).\nAnswer: -50*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1073 - -1073.4. What is the nearest to 1 in -1\/9, a, 5, 0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -235079, -235039, -235001, -234965, -234931, -234899, -234869?\n\"Answer: -h**2 + 43*h - 235121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*b + 43009, -15 = -0*b + 5*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Suppose 0*x - x = -6. Let r be o(x). Let l = r + -8. Solve -d - 19 = l*i, 2*i + 5*d = -2 - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b - 2*i + 9, -i - 13 = -2*b. Let g(h) = 4*h**2 - h. Let y be g(1). Let m(j) = j**y + 6*j - 6*j**2 + 0 - 1 + 4. Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144113 + 310141?\nAnswer: 111023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - k + 4*k + 467 = 0, 4*k = 4*h - 932. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (8\/(-4) - 1) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (132\/10)\/((-6)\/(-20)). Let j = 44 - s. Suppose j = -4*y - 3*r + 80 - 31, -5*r = -3*y + 15. What is the remainder when 27 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 269 = 39 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*y + 21*y + 41328. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -112. Which is smaller: 29 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 i when four letters picked without replacement from pepipeiqpepieeipi?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:49 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (10 + -3 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20307071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffvvvffff. What is prob of sequence vff?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13225771 less than or equal to 13225769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43086?\nAnswer: 2, 3, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j + 869. Let l(t) = 7123*t - 1. Calculate b(l(s)).\nAnswer: 64107*s + 860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 602218637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 24*p + m - 36 = 3*m, 14*m + 32 = p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-19 + (-10395)\/(-621) + 20)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - q + 225. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t*t**(-8))\/t)\/t*t**(-5))**(-2\/21))**(-2\/9))**(1\/57) assuming t is positive.\nAnswer: t**(-52\/10773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, r: 2}. Give prob of picking 1 r and 2 h.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 36\/(-2 + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 28*5\/(-30) - (-1457)\/(-465).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 10, -10*o + 2 = -2*c - 12*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 8. Let k be n(-5). Let q be k\/(-2)*200\/(-12). Suppose -5*m = q, -m = 6*f - 2*f - 15. Is 5 equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 3*y**2 + 3*y**2 + 4*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/574*-56)\/((-1)\/(12\/(-56)))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 + 28672656*n - 68510100174528 = 0. Calculate n.\nAnswer: 4778776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -408276*p**3*v - 35022*p**3 - 2*p with respect to v.\nAnswer: -408276*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2144 and 6540?\nAnswer: 3505440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + -88?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (6 - 28\/4)*-72 and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*l - 9 = 0, -2*o + 5*l + 17 + 3 = 0. Suppose 0 = 2*s + s + 3*u - 51, 67 = o*s - u. Let y = s - 0. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 912790588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25\/16 (b) -31 (c) -655 (d) 0.1 (e) 2\/5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584745 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 2 + 2)*(-2 - x + 2 + (1 - 4 + 1)*(-2*x - 4 + 4)) - 796*x + 796*x + 3306*x**2 as j + n*x**2 + p*x and give n.\nAnswer: 3291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88308*g**3 - 13*g**2 - g - 56400991.\nAnswer: -264924*g**2 - 26*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/16*1234)\/((-7)\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9897*w = -9892*w - 10. Factor 1\/2*b**3 + 6*b + 0 + 10*b**w - 3\/2*b**4.\nAnswer: -b*(b - 3)*(b + 2)*(3*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 1)\/((-2)\/65). Suppose -m*t = -64*t - 4783. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 4*y**4 + 13*y**4 + (2*y**3 - y**3 + 0*y**3)*(0*y - y + 0*y) in the form o*y + q*y**3 + x*y**2 + d*y**4 + r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a. Let h(s) = 3*s**2 + 2*s + 3. Let w be h(-2). Let k(b) = 2*b + 7*b + w*b - 10*b. Calculate k(n(r)).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-8)\/20 + 1). Suppose y*m - 8 = m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*o + 2*i, 0 = -2*o + 4*o - i - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t. Suppose -g - g = 0. Suppose s - 12 = -4*j, 4*j + 5*s + g = 12. Suppose 9 = -j*c - 3*w, -2 + 10 = -c - 2*w. Give r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -3.93. Let o = -0.1 - v. Let m be (-25 + 23)*(3\/33 - 0). What is the third smallest value in 0.5, m, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330142 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19373, 19377, 19383, 19391, 19401, 19413?\nAnswer: 19427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose -4*f = 2*n + 22, -3*n + 8*f - 3*f + 11 = 0. Let l(b) = -2*b - 3. Let q be l(n). Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 3*f + 9. Let t be p(0). Suppose -t*o = 79 - 259. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((2109\/57)\/(-37))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = 39*r + 98. Let y(p) = -6*p**3 - 2*p**2 + 2. Let f be y(-2). Suppose o - f = 4*s, 2*o + 23 = 5*s + 74. Are r and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320677 at most 1320677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*a - 86 - 5 = 0, -4*a = 3*l - 70. Calculate the remainder when (7\/(-21))\/(1\/(-195)) is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 2*k + 3. Suppose -5*c + 0*c = -20. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-10) + (-4)\/10. Let q = -128773 + 128767. What is the nearest to b in 0.2, q, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -847 - -841. Let q(x) = 2*x**3 + 2*x**2 + x - 1. Calculate the remainder when q(2) is divided by (4 - -10)\/(-7*z\/42).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 191.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - (-238644592)\/(-1518). Let h = j + 157209. Let g = h + 4\/69. Which is the second biggest value? (a) -1 (b) g (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjw when four letters picked without replacement from {j: 7, w: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmoomyamoomyqmqmmqm. Give prob of sequence qaq.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 10. Suppose 3*r - 324 = -g*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 1440.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6704407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -5, -0.42?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 231492?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 - 229. Is 533080\/(-24)*q\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12376, -12357, -12338?\nAnswer: -12319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9317*w + 74574. Give j(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/(-276))\/((-10)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -129, -261, -425, -615, -825, -1049, -1281?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yflllvb. What is prob of sequence bf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(325) - (2 + sqrt(325)*-1 - sqrt(325) - sqrt(325))) + 3 + sqrt(325) + 1 + 4*sqrt(325)*-1 + -5*1*sqrt(325))**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459.01 + -1975.8?\nAnswer: 483.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 8*g**2 - 9*g - 5. Let d be w(-9). Let n = -7 - -3. Put n, -3, d in decreasing order.\nAnswer: -3, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:14 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9571\/90 + 956\/9. What is the common denominator of h and 91\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (20 - 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:57 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*z - 27*q*z + 1668*z wrt q.\nAnswer: 4*q*z - 27*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15486 and -0.2.\nAnswer: 15485.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8138 divided by 26\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 7) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7))**46*(d\/(d*d*d**(-15)))**(-23\/2) assuming d is positive.\nAnswer: d**(-437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 - 7*i**2 + 3*i**2 - i**2 + 0 + 0 + (-i - 2*i + 2*i)*(-i + 3*i - i) - 2*i + i**2 + 2*i.\nAnswer: -5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29034+37\nAnswer: -28997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 798886, 1598031, 2397176?\n\"Answer: 799145*w - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 192*z + 2383. Calculate the remainder when j(-10) is divided by 237.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o**3 + 12*o + 317 wrt o.\nAnswer: 30*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1945*w + 10989. What is l(-5)?\nAnswer: 1264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*((2*l + 2*l - 3*l)*(-3*l + 0*l + l) - 81*l + 81*l - 15*l**2).\nAnswer: -34*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/20)\/(((-3)\/((-45)\/(-2)))\/((-778)\/3501))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*n**2 - 4745152*n + 1674768 = 0. What is n?\nAnswer: -69782, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23565 divided by -5.\nAnswer: 4713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12213023331 (base 4) in base 9?\nAnswer: 3231660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 6)*(-2*b + 4*b + 0*b) - 2*b - 4*b + 4*b)*(0 + 4 - 19)*(-2 + 0 + 0)*(0 - 3 + 5) as k*b + s and give k.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2838.01 days to seconds.\nAnswer: 245204064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 15. Let i be w(6). Let l(p) = p - 1. Let f be l(i). Suppose -2*v + 496 = -7*v + s, 3*s = -f*v - 212. Round v to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103.084 - -101. Let r = -0.084 - i. Which is the third smallest value? (a) 0.14 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:41 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 5*u**2 + 2*u - 5. Calculate v(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100112021021100 (base 3) to base 14.\nAnswer: 95b5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-204) + 248\/672.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x = 25. Let u(y) = -16*y - 25. Let h(v) = -10*v - 13. Let r(z) = 5*h(z) - 3*u(z). Let q be r(x). Solve q*a - 10 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 - -47. Let p = o + 107. What is the remainder when 7 is divided by (p\/154)\/(1\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/3 + 1)*1. Let x = 242 + -243. Which is the closest to -2? (a) -10 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24561 - 17540. Calculate the greatest common factor of 238 and y.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (20 - 14) - (-1 + -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110110000111100?\nAnswer: 110110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*c + 4*n - 3, 13 = 4*c + n. Solve -2*f - f - 7 = c*j, 9 = -2*j - 5*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-50)*((-15)\/9)\/(7\/3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**5\/30 - v**4\/8 - v**3\/6 + 8*v**2. Let a(d) = 4*d**2 + 7*d + 3. What is -3*a(z) - 7*u(z)?\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 + 2*a**3 - 355*a**2\/4 + 341*a\/2 - 84 = 0. Calculate a.\nAnswer: -24, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16.4855655s?\nAnswer: 0.00019080515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121200200 - -11?\nAnswer: 121200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 59.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 10:48 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 986 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 11}. What is prob of picking 1 o and 1 a?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -107. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -684948*c**2*d - 46*c**2 + c*d + 45*c - 1305836*d wrt c?\nAnswer: -1369896*d - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4485372*k**2 - 4079974.\nAnswer: -8970744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-19055.\nAnswer: 590705","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 - 74*f - 80. What is y(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14608*w**3 - 118 + 14596*w**3 + 18 wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 divided by 925?\nAnswer: -509\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 42 + 0 = 0. Suppose -3*a - 5*o = -166, -79*a + 178 = -76*a + i*o. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37579 is divided by 6253?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + 3 + sqrt(2057)*2*3 + sqrt(2057) + (1 + sqrt(2057) + sqrt(2057))*6)**2.\nAnswer: 4180*sqrt(17) + 742681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182478 or -179823?\nAnswer: -182478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/784)\/(16\/608). Let a = j + -2\/49. Is -1\/2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -172\/25 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 48 = 0. What is the common denominator of (-694)\/28 - i\/(-42) and 40\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 7, 0 in increasing order.\nAnswer: -60, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:29 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 8682, -4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240.3 take away -5.35540806?\nAnswer: -2234.94459194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 189013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 + 4*q - 3. Let s be u(-4). Let z = s + 27. Suppose -f = z - 68. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, r: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**2 + 1497*u - 18998. Give b(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -580*g + 536*g + 176, 2*g + 2*j - 3 - 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -650*q**2 + 41*q + 2*q**3 - 12*q + 652*q**2 in the form u*q**3 + v*q + t + b*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 16*y + 8620. Determine v(85).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 8.36, 1\/2, -1, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 11 - 11 + (-2 + 2 - 2)*(-1 + 1 + 2) - 1 + 4 - 1)*(2*i**4 - 2*i + 2*i) + (0*i - 2*i + 0*i)*(304*i**3 - 17*i**3 - 153*i**3).\nAnswer: -362*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4738*g**4 - 3*g**3 + 5092*g - 1?\nAnswer: -56856*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -99, -213, -371?\n\"Answer: -22*k**2 - 4*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 - 2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 3. Let t be b(-7). Suppose -t*y - 2 = -2*r + 4, 2*r + 12 = -5*y. Is r bigger than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h**2 - 5*h**2. Let c(l) = -4973*l - 3. Let f be c(-1). Let m(s) = -4970 + f - 5*s. What is k(m(o))?\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901.4533 centuries to months.\nAnswer: 1081743.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -d - 4*z + 76, -2*z = -2*d. Let x(i) = i**2 + 2*i + 1. Let o(b) be the third derivative of b**5\/60 + b**4\/24 + 3*b**2. What is d*o(t) - x(t)?\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 75.37. Let c = l - 0.07. What is the closest to 2 in c, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 20168326\nAnswer: 1\/20168326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -41118 (b) -3 (c) 49.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v**6)\/(v**(8\/3)*v*v**(-2\/5)) assuming v is positive.\nAnswer: v**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - -108. Solve -c*b + 154*b = 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 10\/3*h**3 - 95 + 5\/8*h**4 + 0*h - 1\/12*h**5 - 2*h**2. Factor p(w).\nAnswer: -5*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3588768 and -61\/1395632.\nAnswer: 25121376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i*i**(-2))\/(i**1)**(-2) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01061883607 + 0.15?\nAnswer: 0.13938116393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3244, 14002, 32266, 58036?\n\"Answer: 3753*b**2 - 501*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - 324 + 2*y**2 - 1434*y + 34 + 40.\nAnswer: 2*y**2 - 1434*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -73. Suppose o*j = -7*j + 666. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1481)\/20)\/((-2)\/(-1)). Let y = g + 192\/5. Find the common denominator of 19\/6 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -20. Suppose -4*i + w - f*w = -29, 1 = -4*i + 5*w. Let y be (-21)\/(-9) - (-4)\/i. Solve -5*h = -y - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85727 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*r + 59 - 59)*(-39 - 3 + 0 + (-1 + 1 + 2)*(0 + 0 + 2)).\nAnswer: -2394*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, r: 1, v: 1, x: 5}. What is prob of sequence dxv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/42 + (-36)\/(-14). Solve s*z + 6 = -4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 888408560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l - 2*r - 17 = 0, 3*l - 3*r - 63 = 0. Find p, given that 10*p**4 + 34*p**2 - l*p**3 - 14*p**2 + 6 - 6 - 5*p = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u - 6 = 0. Let a be (2*u\/12)\/(1\/(-4)). Suppose -t + 129 = a*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -1 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 a when four letters picked without replacement from amomonanfnnnmjnmof.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-34.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62189 + -62184. Let q be ((-4)\/(-5))\/(4\/190). Which is the closest to -0.1? (a) q (b) -4 (c) o (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + -2.2. Let o = 30.5 - 31. Let f = -4994 + 4996. Which is the second biggest value? (a) o (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 divided by -25?\nAnswer: -877\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -5\/3 (c) -17 (d) -1 (e) 3 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276062 times -1.4?\nAnswer: -3186486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6069649? (a) -2 (b) -2\/9 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2263715*i**3 - 35793*i - 17?\nAnswer: -13582290*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017753 rounded to 6 dps?\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956103 is divided by 50315.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/105)\/(((-10)\/6)\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1124, -1460, -1796, -2132, -2468, -2804?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oexr when four letters picked without replacement from xroerrrz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -350.\nAnswer: -11\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + (-4)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - t**2 - 2*t**2 + 4*t**2 - 1 - 2*t**2 - 3 + (5*t**2 - 4*t**2 + t**2)*(5 + 1 - 5) to b*t + w + m*t**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + o - 44 + 172, -5*s + 2*o = 119. Let d be 7*(8 - 4 - s\/(-7)). Solve -d = -q + y, q + y = -3*y - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + 3) - (-48)\/14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 + 118*b - 1372. What are the prime factors of h(-78)?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3\/3 - 68*g**2 - 360*g - 400\/3.\nAnswer: -2*(g + 10)**2*(5*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 - 16 = 33*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15)*(-110)\/33. Suppose -b + 7 = 5. Suppose -b*n - 2 = -4. Is n bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/168 and -65\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Factor 5*q**4 - 3*q - 3*q - 5*q**2 + 11*q - g*q**3.\nAnswer: 5*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = -8. Let v = -35 + 34. Sort 1, f, v in descending order.\nAnswer: 1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, -185272, -3 in descending order.\nAnswer: 13, -3, -4, -185272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 435973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-9)\/(-12) - 20\/(-154)*-21?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216117*r**2\/5 - 432246*r\/5 + 24\/5.\nAnswer: 3*(r - 2)*(72039*r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802025927?\nAnswer: 5003, 160309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**3 - 340*w**2 + 2332*w - 328. Give r(106).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*c - 0*t + 745, 3*c = t + 1120. Suppose 1133 - c = 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -5 - (123 + -142).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*x + 3, -2*p = -5*x - 7. Let i(h) = h**2 + 4*h - 5. Let u(d) = -2*d**2 - 7*d + 9. Calculate p*u(y) + 11*i(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 6*a - 6 = -3*g, 4*g - 19 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1239681197, 1239681196, 1239681195?\n\"Answer: -u + 1239681198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174160446.\nAnswer: 2, 3, 29026741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 730765 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 4*j**2 + 6*j + 7. Suppose 4*a = 2*a - 12. Is k(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010839 <= 3010840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -c + 5*c = -32. What is the remainder when (c\/(-12))\/((-2)\/(-33)) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 + 4*s**3 + 14*s**2 - 40*s + 24 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.29 (b) -1\/3 (c) 22\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 36 = -3*t. Let x be 3 - (2 + t\/(-4)). Suppose -u - 44 = -5*p, -3*p + x*p = u - 28. Solve -z = -3*l + p, 4*l - 12 = -6*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -54\/5 (c) 0.06 (d) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 40*j - 215. Let i be f(-33). Solve 5*w = -0 - 10, -2*w + i = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 29. Let b be c(14). Let f be ((-21)\/b)\/(21\/(-98)). Suppose -2*m = 4*r - f, -3*r + 70 = -0*r - 2*m. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 2, c: 8, x: 4, p: 1, r: 2}. Give prob of sequence whxr.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {i: 11, a: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 9*m - 8. Calculate j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o**4 + 19409*o**2 - 5*o + 11526.\nAnswer: 96*o**2 + 38818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/44463 and -85\/366.\nAnswer: 5424486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 53, 37, 21, 5, -11, -27?\n\"Answer: -16*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 4. Let k(o) = o. Let r(v) = -k(v) + t(v). Let d = 7 - 2. Suppose g - a - 3 = 0, 3*a - d*a - 10 = -3*g. What is r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 524 and 758322?\nAnswer: 198680364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:04 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1272 times 2?\nAnswer: 0.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*w + 18 = -353*w. Suppose w*d + 2*l - 6*l = 0, 0 = -4*d + 2*l + 10. Solve d*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 1 + 3*z - 5 + z**2 + 5. Let w be r(-5). Let a be 4\/w - (-99)\/77. Solve -3*u + 15 = c, 12 + a = -c + 4*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3652\/16353 + 2\/1817. What is the nearest to d in -419, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4001600 (base 7) to base 3.\nAnswer: -212221102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -21, 0, 0.4, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 12 = 0, 8*w = -6*h + 10*w + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 43. Suppose -4*o = -13*o + p. Solve 0 = -3*l - o - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -43 - -19) + 35 - (3 - -1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b**2 + b)*(b**2 - 2*b + 2*b) + (2*b - 5*b + b)*(0*b**3 - 4*b**3 + 7*b**3).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 230 - 122. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 + 22 + -3 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50526 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - s = -3297, u = -4*s - 407 + 1235. Is u a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/13 + 17\/39. Let n(r) = r**2 - r - 6. Let q be n(7). Let g be (-2)\/(-11) - q\/(-44). What is the closest to g in m, -4, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 minus -1008857553?\nAnswer: 1008857557.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16835, -33673, -50523, -67391, -84283, -101205?\n\"Answer: -r**3 - 16831*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4860\/158321 + 2\/2363. What is the closest to 0 in 5, j, -0.4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(1\/7)*d)\/d)\/d**(3\/2)*d**(-4)*d*d\/((d**4\/d)\/d))**50)**(-3\/28) assuming d is positive.\nAnswer: d**(4575\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -30*b**3 + 2*b**2 + 5*b + 3. Let d be i(-1). What is the smallest common multiple of d\/15*(7 - 2) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -8*v - 188. Solve -v*f - 2 = -3*f - a, 0 = f + 5*a - 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9470637 - -56889637. What is n rounded to the nearest 100000?\nAnswer: 47400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, 2\/15, 68 in ascending order.\nAnswer: 2\/15, 1\/4, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*q + 16 = 4*q, -4*q + 16 = u. Suppose -5*l = 4*j - 612, -4*j + l + 576 = -3*l. Suppose 4*p - 8*p + j = u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206 and -0.2.\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u + 3. Does 12 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/(8\/(-12)))\/((-9)\/(-5)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let d(k) be the first derivative of k**4\/12 + k + 3. Let x(u) be the first derivative of d(u). Give q(x(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -143*p**2\/2 + 50*p + 4. Let j be i(-26). What is the remainder when 154 is divided by (-2)\/8 + j\/96?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -7 in increasing order.\nAnswer: -7, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*k = -27. Solve -k*b = -5*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -1. Let f = y - -15. Suppose 38 = 3*d - f. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1034704 and 2992?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4542, 5, 2 in increasing order.\nAnswer: -4542, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 40 = -8*r - 51, 5*r + 50 = 2*f for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -796, -1164, -1528, -1888, -2244, -2596?\n\"Answer: 2*w**2 - 374*w - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11184973 to the power of 1\/2, to the nearest integer?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/(-4131))\/(230\/1955).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546*107294.\nAnswer: -58582524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-16)\/(-2))\/(-16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 280.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4309342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 = 4*n, 0 = -3*a - a - n. Is ((-161)\/(-21))\/(a\/159) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/20 + 7*m**4\/12 + 4*m**2 - m. Let u be s(7). Let q be (-2)\/u + (-78)\/72. Is q greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)\/l**(-8))\/(l*l**(-2)\/l*l\/(l\/(l*l**(-1\/3)*l))))**8 assuming l is positive.\nAnswer: l**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30745)\/429*6\/10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 16. Solve -8*z + r*z + 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -1*sqrt(1088)))**2.\nAnswer: 192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -75*h - 173*h + 8085 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5732205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {d: 1, x: 2, j: 9, n: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = t - 6*t, -4*o - 4*t = 36. Suppose 3 = 5*g - x, -2*g = 2*x + 2*x + 12. Sort g, 2, o in increasing order.\nAnswer: o, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a - 74. Calculate f(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 5*p + 5*i, 4*p + i - 109 - 50 = 0. Let r(x) = x**3 + 5*x**2 - 3*x. Calculate the remainder when p is divided by r(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1177504.47 to the nearest 100.\nAnswer: -1177500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/12)\/((-6)\/8). Suppose 3*t + 8 = 2*u, -y*u + 19 = u - t. Solve -3*o - k = u, -5*o = -0*o + k + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7056, 0.01, -20, 0, -1\/19 in descending order.\nAnswer: 0.01, 0, -1\/19, -0.7056, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + y - 22 = 5*a, -12 = -3*y. Let m(z) = -z**2 + 9*z - 15. Let d be m(a). What is r in 2 - r**d + 2*r - 2*r + 3*r = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16900*h**3 - h**2*t + 5*h*t - 8*h + 3096223*t with respect to h.\nAnswer: -50700*h**2 - 2*h*t + 5*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72853698.\nAnswer: 2, 3, 12142283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let i be (3*22 - d) + -1. Let j = -4 + 13. What is the highest common divisor of j and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 times -2?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 11:46 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76165835*v**6 - 5*v**5 - 12*v**2 + 13*v - 613557 wrt v.\nAnswer: 9139900200*v**3 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 2) + (8 - 17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j - 1. Let f(v) = 8*v**2 - 26*v - 3. Determine f(y) - 5*z(y).\nAnswer: 3*y**2 - 31*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0\/(1 - 0). Let y(d) = -2 - 2*d - d**s + 5 - 4. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 12 = 0. Suppose 2*t - v*t + 3*d = -42, -5*d = -4*t + 140. Suppose t = 4*b + b. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3 + (3 - 8)). Suppose 2*d + 2*i - 4*i - 10 = 0, x = 2*d - 5*i - 13. Solve -3*l = 5*f + 15, -3*l + d*f - 25 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.38028 years?\nAnswer: 0.338028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1*6\/(-4)). Suppose 3 + 3 = -3*n. Which is the closest to o? (a) 0.3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5 - 378*n**4 + 4888*n**3 + 12768*n**2 - 19520*n - 45024 = 0?\nAnswer: -201, -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 8*v - 7. Let f be m(-7). Suppose p = -f*p - 3*p. Let h be 666\/45 - (-2)\/10. Solve p = 5*q - 10 - h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 11*q + 5*q**4 + 13*q - q**4 + (-2*q**2 - 3*q + 3*q)*(-3*q**2 + 2*q**2 - 9*q**2) to the form n*q**3 + y*q**4 + o*q + f + t*q**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 + 2*r**2 + 2*r + 1. Let l be x(-1). Suppose -v + l*f = -f + 9, 2*v - f = 0. Calculate the smallest common multiple of v and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 14 = z + 5*y, 0 = -2*z - y - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 43 + 819 = 0. Is k\/873 + -1 + (-196132)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 11*y = -8*y - 18, -5*i - 3*y = -40 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 191. Give z(13).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -29. Suppose -4*a = -4 - s. Let v be 4\/(-8) - (-6)\/a. Let j(q) = -7*q. Determine j(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/12)\/u*u**(-28)\/u)**(-32) assuming u is positive.\nAnswer: u**(2792\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 8*n. Suppose n*a + a - 25 = 2*x, 45 = 2*a - 5*x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.9. Let z = 0.3 + -0.4. What is the closest to p in 1, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19433 divided by 1\nAnswer: 19433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20662\/15 bigger than 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 223, 462, 787, 1192, 1671, 2218?\nAnswer: 2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -220.9 - -233. Let w = h - 7.1. What is the smallest value in w, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4584)\/40 + 0*1\/(-3). Let c = 114 + r. Sort 0.2, 14, c in decreasing order.\nAnswer: 14, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99645 is divided by 519?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 12*w**2 - 10*w + 18. Let o be b(-13). Let s be 3\/o - (-2880)\/21. Let i = s + -53. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 13*p + 15. Let v be m(-4). Put 4, 0, -1, v in descending order.\nAnswer: 4, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -762 - -760. Which is the biggest value? (a) -0.04 (b) -4 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3611*s**2 - 12*s + 2874. Let o(a) = 7222*a**2 + 27*a - 5746. Let w(m) = 4*o(m) + 9*y(m). What is the first derivative of w(u) wrt u?\nAnswer: -7222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*z + 30, 48*v + 309 = 50*v + 29*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3716 + -3705. Let b(k) = -2*k - 35. What is b(g)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003583727971 rounded to 7 decimal places?\nAnswer: -0.0003584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 464 - 189. Does 55 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3685081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*p - 20, -3*p + 4*f = -p - 24. Suppose 0 = -3*z - 5*j + 2, 0 = 5*z - 3*z - p*j + 4. Which is smaller: -9\/22 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 24. Let y = m + 15. Sort 2, -3, y.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -416*a**2 - 65. Let z(u) = -13*u**2 - 2. Give -4*q(p) + 130*z(p).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3018 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1102*m**3 + 1244*m**3 - 117*m**3)*(-2*m + 0*m + 2 + m) in the form y*m**4 + p + u*m**3 + d*m + o*m**2 and give y.\nAnswer: -2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = f - 8970. Let u = 1661 - f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 - 2162*r**4\/5 - 123822*r**3\/5 + 278052058*r**2\/5 - 6060540992*r\/5 + 6643686984 = 0. Calculate r.\nAnswer: -694, 11, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -616, -608, -294, 482, 1876, 4044, 7142, 11326?\n\"Answer: 26*r**3 - 3*r**2 - 165*r - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(-4 + ((sqrt(432)*-2 - sqrt(432)) + -4 - 4*sqrt(432)*-5)*-2))**2.\nAnswer: -470016*sqrt(3) + 71914752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 1.44\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwnmwmmwnmm. Give prob of sequence wmwn.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -26785 - 26782 + 80353 - 26785. Let f = 3 - 2. Let s(c) = -6*c - 4. Give f*s(x) + 6*v(x).\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -1160282?\nAnswer: -1160282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 2583.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*w + 22808 = 0, 6*w = 7*w - 7. What is the highest common factor of 68 and n?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3746354085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 2*m)*(2 - 2 - 2) + 6 - 22*m + 6*m + 14*m - 2*m.\nAnswer: -8*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1446, -1761, -2076, -2391, -2706?\nAnswer: -3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 + 57 + -78 - -43?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 32. Let w be p(-3). Let d = w + 50. Solve x - 2*x + 4 = d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/6 + 5*r**2\/2 + 8*r. Let u be a(-4). Let d be 2*(1 - 2\/4). Calculate the highest common divisor of d and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*((-8580)\/(-693))\/65?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644226 is divided by 653.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -6 - (-58 - (-33 - -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 94*v**2 - 5177*v + 233914. What is w(46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q**3 - 913 + 1847 - 930.\nAnswer: -50*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:46 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q - 101444 = -5*b - 45*q, -2*q + 6 = 0. List the prime factors of b.\nAnswer: 2, 5, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Solve -1 = -y + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*(-7 - (-319)\/33).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 1288, 2787, 4854, 7483, 10668, 14403?\nAnswer: 18682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -64. Suppose 0 = -4*k + 28 - p. Is (-458)\/(-4) - (k - (-12)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 3, x: 11}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 22*l**4\/3 - 27238*l**3\/3 + 29690*l**2\/3 - 2474*l\/3 = 0?\nAnswer: 0, 1\/11, 1, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*k**4*u - 1297941*k*u - 2164*u - 22081 wrt k?\nAnswer: 24*k**3*u - 1297941*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q**2. Let r(v) be the first derivative of -4*v**3\/3 + 55. Give r(o(m)).\nAnswer: -576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**2 - 43*b**2 + 3*b - 34*b**2.\nAnswer: -46*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 8*o + o)*(2*o + 5 - 5 + (0 - 5 + 4)*(-3*o - 4*o + 5*o) - 29*o + 17*o - 71*o) in the form i*o**2 + h + c*o and give i.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -763.8 + 883. What is b rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8753 + -0.3753. Sort 1\/5, 0.09, 1\/4, 14, k.\nAnswer: 0.09, 1\/5, 1\/4, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 100*x - 17. Let j(q) = q - 63. Determine r(j(p)).\nAnswer: 100*p - 6317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7501 times 0.2?\nAnswer: 0.15002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(70)*-5 + sqrt(70) - 4*((sqrt(70) - sqrt(70)*4) + sqrt(70) + sqrt(70)))\/(2*sqrt(60)\/(sqrt(486)*2)).\nAnswer: -225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 13 = -3*i - 6, 0 = o - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 14*d - 179. Let i(y) = y**2 + 15*y - 98. Let b be i(-21). Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14*(0 + (-6)\/(-4)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 428*h - 3239. Determine b(9).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:46 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/6)*v**(-2)\/v*(v**(3\/2)\/v)\/(v*v**(-1\/4)))**(-34) assuming v is positive.\nAnswer: v**(493\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -285 (base 10) to base 9\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1418, 2834, 4250, 5666, 7082?\n\"Answer: 1416*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*3\/357)\/((-11)\/22).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-195)\/(-40)*(-114)\/9. Let z = 62 + h. Let w = -0.09 - -0.05. Put 4, z, w in decreasing order.\nAnswer: 4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3069 + 4666. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625034071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11772, -47032, -105806, -188094, -293896, -423212, -576042?\nAnswer: -752386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 5*o. Let s = 7 + -11. Let c be k(s). What is the second derivative of -2*p**4 + c*p**4 + 2*p - 3*p wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41582462 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + 227. Suppose 2*v = -t + 2*t + r, -4*v = -3*t - 595. Suppose 0 = -0*j - j + v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -13, 940718.\nAnswer: -13, -3, 1, 940718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 248159701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98\/187 - 12\/17. What is the closest to 1\/2 in -0.03, -0.5, y?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -1.6, 27, 3\/8 in decreasing order.\nAnswer: 27, 1.1, 3\/8, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*i - 7*i. Let v be 13*i + (-5 - -2). Let j = v + -27. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqq when three letters picked without replacement from qslqueu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1239 and 3363?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 401568647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 - 637*r**4 + 2832*r**3 - 1864*r**2 - 6304*r + 7536 = 0.\nAnswer: -3\/2, 2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -71 + 40 - (-23 + -4 + 2 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10346 - -10217.984. What is h rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3882, -3889, -3900, -3915, -3934?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + 13 + 206 + -139?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 5*o = -b + 244, -1110 = -5*b - 2*o. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/8, -33, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 36 = -42. Suppose 7*l + 40 = 4*r + q*l, 3*r + 4*l = 44. Factor 3 + 30*y - 36*y**2 + r*y + 13 + 22*y.\nAnswer: -4*(y - 2)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 15 + 2*q + q**2 - q**2 + 3*q**2.\nAnswer: 3*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n + 5. Calculate the remainder when r(-4) is divided by 12 - (-9 - (-14 - -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 9*n = -12*n. Solve 3*t + 18 = -3*f, -4*f - 3*t + n*t = 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698075339 to the power of 1\/2, to the nearest integer?\nAnswer: 26421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g + 3. Let x be k(0). Suppose -x*f - 295095 = -0*f. Let j = 145365 + f. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**2 - 1. Let m be d(1). Solve 0 = -0*g - g - 4*p - m, 0 = -4*g + p + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*-0.00785\nAnswer: -0.33755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 6*w + 8. Let y = 23 + -30. Let x(b) = -b**2 - 5*b - 7. Determine y*x(l) - 6*g(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - -4. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1231454487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 17*s**3\/3 + s**2\/2 + s + 43. Let p be q(3). Let x = 254 - p. What is the remainder when x is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 192 = -4*z - 0*r, 0 = 4*z + 4*r - 152. Suppose 2*p + 31 = z. Solve p*t = 2*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**5 - 1770*n**4 - 3480*n**3 + 14170*n**2 + 31725*n + 15840 = 0.\nAnswer: -352, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604289222?\nAnswer: 2, 302144611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -66292 divided by 24\nAnswer: -16573\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -49 - (-166 - (-191 + 58)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6532*n + 6536*n = -85, n - 10 = -6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-98)\/(-28))*(-9 - 1) - -4763 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1 + 3 - (sqrt(396) + (sqrt(396) - (sqrt(396) - (-3 + sqrt(396)))) + -3))**2*4.\nAnswer: -1296*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5216705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**3 - 11*y**2 + 2*y - 22. Let u(l) = -5*l**3 + 6*l**2 - l + 11. Let g(z) = -6*t(z) - 11*u(z). What is g(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18 - (13 + -20)) + -14 - 28) + -5 + -2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/118728 and -127\/168.\nAnswer: 831096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 130. Calculate the highest common divisor of 36 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**9)\/g)\/g)\/g)\/(((((g\/g**(1\/4))\/g)\/g)\/g)\/g)*g**(2\/25)\/((g**(-2)\/g)\/g) assuming g is positive.\nAnswer: g**(1533\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 415533823 to the power of 1\/2, to the nearest integer?\nAnswer: 20385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18855627 to the nearest one hundred thousand.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194 + 194 + 2578*w + (6*w - 3*w - w)*(1 + 1 - 3))*(-w + w - 2*w).\nAnswer: -5152*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.61 + 0.51. Let v be ((-2)\/(-4))\/((-3)\/(-6)). Let t be v\/(-46)*(2 - 6). Which is the third smallest value? (a) u (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9599*f + 1238282. What is j(-129)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32908080179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*n**3*u**2 + 10*n**3*u - 550*n**3*v - n**2*p*u**2 - 7*n*p*u**2*v - p*u*v wrt v.\nAnswer: -550*n**3 - 7*n*p*u**2 - p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*a - 10346 = 1963 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m - 83*m + 40296 = 0. Calculate the highest common factor of m and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.681 - -0.6810423. What is g rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12705 + 12936. Solve -27*t = 15 - a for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = -1. Let k = l + 4. Let o = -35\/24 - -13\/8. Which is the smallest value? (a) -5 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 249, 246, 243, 240, 237, 234?\n\"Answer: -3*k + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 75135 + 4?\nAnswer: 75139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 234455760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 77 = 2*a + i, 0 = 4*a + 4*i - 76. Let c = -164 - -235. What is the remainder when c is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {z: 1, j: 1, n: 7, h: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/17 - 72*g\/17 + 70\/17.\nAnswer: 2*(g - 35)*(g - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88949.91 weeks in hours?\nAnswer: 14943584.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (98 + -81 - -44) + -53\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122590939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16560*i**2 + 546479*i - 28. Determine o(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-8 - ((0 + -2 + -11 - 11) + 3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 13*k + 17. Let v be (742\/(-318))\/(1\/(-6)). What is b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/11 (b) -1 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Suppose n = -2*w + y, 2*w - 12 = -2*w + 4*n. What is the second derivative of w*k + 2*k + 0*k + 0*k**4 + 4*k**4 wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 160 = -4*c, -j + 2*c + c = -80. Let o be 12\/78 + (-206)\/(-13). Calculate the greatest common divisor of j and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17744\/19 - 934. Let r = -2 - -1. What is the nearest to d in -0.3, 3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -3, -5, 5, 1\/12, 0.07 in decreasing order.\nAnswer: 5, 1\/12, 0.07, -1.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:36 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 64608168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 2. Let a be (1 - 2)\/((-9)\/27)*1. Let c(x) = 7*x + 6. Let i(v) = a*g(v) + c(v). Let w(u) = 3*u. Determine w(i(t)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - m. Let r be j(2). Let q be r\/(-4 + 3) + 2. Suppose q = 4*w - 46 + 10. What is the remainder when 16 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3\/2, -32, 13117?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3.1, 1\/4, 0.1, -0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*y - 87*y = -44. Calculate the lowest common multiple of 622 and y.\nAnswer: 6842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*w**3 - 2*w**2 + 43*w**2 - 9*w**3 - 29*w**3 wrt w.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/68551?\nAnswer: -2\/68551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 5)*(-2*v**5 + 0*v**5 + 8*v**5 + (0*v + 0*v - v)*(-v**4 + 4*v**4 - 2*v**4)).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*b - 30 + 8, -3*h + 13 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 86, -5, -142, 0.2, -0.4?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from ggiigiiiigig.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (7 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-176)\/(-5) - (-44)\/55. Let h be f\/(-10) - (-18)\/(-45). Let r = -0.15 - -0.35. What is the nearest to r in 3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 + 46 = 0. Suppose -8*s + 3*s = u - k, 0 = -4*u + 12. Let v(l) = -2*l**2 + 5*l + 2. Determine v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -107. List the prime factors of j.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26747 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = -5*g, 5*g = 3*i + 2*i + 25. Suppose -5*s + 2*w - g*w + 42 = 0, 4*s = -5*w + 21. Calculate the greatest common factor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 3*u + 9. Suppose -126 = -184*w + 121*w. Calculate the least common multiple of w and k(-6).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.38 and -497.\nAnswer: -491.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -22*k**2 - 108*k + 9. Let t be w(-5). Let d(r) = -15*r**3 - 18*r**2 + 3*r. Let i(c) = c**3 + c**2. Give t*d(p) - 18*i(p).\nAnswer: -3*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9*f + 4*f = -10, 3*f - 8 = 4*z. What is the remainder when z*8*(5 + 115\/(-10)) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/4 - m**3\/3 + m**2\/2 + 87*m - 6. What is the units digit of t(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -3*z**5\/20 + 299*z**4\/4 + 151*z**3 - 900*z**2 - 371*z - 7. Determine c, given that o(c) = 0.\nAnswer: -2, 1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 13. Suppose 0 = -x*o + 16*o. Suppose -7*v + v + 114 = o. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*r + 110*r - 382*r + 4 - 743*r to the form c + j*r and give j.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18 = 2. Let d be (-5)\/((-15)\/(-6)) + g*1. Let u be 5*32\/40 + 44\/d. Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27098*v - 754 = 27156*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/814)\/((-8049)\/(-59026)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17965, -35920, -53863, -71782, -89665, -107500, -125275?\n\"Answer: 2*q**3 - 6*q**2 - 17951*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 62. Suppose -f*j = -25 - 9. Suppose 0 = 6*i - j*i + 550. Calculate the remainder when 196 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 29*g**2 - 1081*g + 1184. What is j(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, -15, 11598 in decreasing order.\nAnswer: 11598, -1.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 58649872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244 - 194. Suppose i - 197 = -0*k - k, k = -4*i + 185. Let y = k + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + w**3 + 25625*w - 18 - 107034*w.\nAnswer: w**3 - 81409*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -25*t + 27*t - 15. Calculate the remainder when 22 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 108 + 83 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 1381499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46\/10 + (-4)\/(-10) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4610 is divided by 627.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 6*r**2 - 3*r**2)*(0*r + 2*r - 3*r) + (-126*r + 111*r + 64*r)*(29*r**2 - 362 + 362) as y + c*r**2 + q*r + h*r**3 and give h.\nAnswer: 1419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from eoyoyjyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2504\/72 - (-4)\/18. Suppose f*q + 58 = 37*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 50*j**2 + 135*j + 58. What is the tens digit of s(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5269 + 4881. Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2986 + -2975. Solve 9*v - 23*v = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(108\/200)*(-12)\/10. Let u = 6 - j. Let n = -0.4 - -0.4. Which is the second biggest value? (a) -1\/2 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.2, -20, 2, -2\/7 in ascending order.\nAnswer: -20, -2\/7, 2\/13, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - f**2)*(-f + 0 + 0) - 4*f**3 - 4*f**2 + 4*f**2 + 2537*f**2 - 2537*f**2 - f**3 + 53.\nAnswer: -4*f**3 + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2994 + 8402. Let h = w + -763. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463 is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -120, -282, -518, -834?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11032805 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/91)\/((-23)\/161)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 12*c - 4. List the prime factors of i(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5954989913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 6*j + 4*o, 5*j = -3*o - 1 + 37 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**8\/84 - 2*r**7\/105 - r**6\/30 + r**5\/15 + 21*r**2\/2 - 16*r. Let g(u) be the first derivative of l(u). Factor g(b).\nAnswer: 4*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 + 7*g**4\/12 - g**3\/6 - 7*g**2\/2 - 208464*g. Let r = 5 - 12. Determine z(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/((-1674)\/180)*2\/(30\/(-99))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5226 = 6231*p - 6233*p + a, 5*p - 3*a = 13063. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:30 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3381 and 73101630?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -91 + 31. Let a = -6 + q. Let o(i) = i - 1. Let y be o(3). Calculate the highest common divisor of y and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 - 11*g + 6. What is t(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, l: 3, y: 1}. Give prob of sequence ylg.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -488.2 + -1758.8. Let r = g - -2244.434. Let v = -2.6 - r. What is v rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 12:45 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 - 2 - 49*n + 48*n + (5 - n - 5)*(-2 + 1 + 2) in the form o*n + f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2717 (c) 0.4 (d) 227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*o**4 - 2*h**2*o - o**4 - 197*o**3 - 150*o**2 wrt o?\nAnswer: 24*h**2*o - 24*o - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + 12034\/(-1155) + (-2 - -12). What is the nearest to 1 in -3\/4, -82, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + (sqrt(5) - (-1 + sqrt(5) + 5)))*1)**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6566997 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29885833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21702?\nAnswer: 2, 3, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**4 + 5*w**3 + 2 - w - 4*w**3 + w**3 to a + c*w + q*w**3 + d*w**4 + k*w**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 35 = 3*c, 2*s - 4*s = 18572*c - 18571*c - 55 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**2 + 2*j**3 - 1 + 1 + 0*j**3 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -564287.98000015 + 564288. Let u = o + -0.02. Round u to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.105, -220, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19358 and 48395?\nAnswer: 96790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 357333, 714663, 1071993, 1429323?\n\"Answer: 357330*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*l = 446*l + 3*i + 67, -4*i = 3*l - 94. Let u be 14 - (4 - 2 - 0). What is the greatest common factor of l and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-15) - 2)*2*-5. Let m(h) = -2*h**3 + h**2 - 2*h - 3. Let y be m(-1). Suppose -5*o - 4*n + 7*n = 12, -n = -y*o - 4. Sort -2, -1, k, o.\nAnswer: k, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**3 - 3*f**2 + 3*f - 4. Does 10 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29795364.\nAnswer: 2, 3, 91961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(24)\/sqrt(432).\nAnswer: -sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l + 8. Let s be a(0). Let p(w) = 2*w - 6. What is the remainder when 19 is divided by p(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:54 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/27 - (-22)\/(-6). Let h(w) = -w**2 + 5*w - 1. Let g be h(3). Let z(j) = -j + j - j - g. Give z(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 - 3*o - 3. Let s be v(3). Suppose 2 + 3 = t. What is the remainder when 15 is divided by 37\/t - s\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225\/(-375)*2\/(-18)*(-6)\/(-5)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - r + 58, 11*j + 10 = 12*j + 5*r. Let v(q) = -3*q + 3*q + q - 18. Let f be v(j). Solve -f*t - t = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -7 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let k(d) = d**2 + 5*d - 5. Let g be k(-6). Let y be (3 - 6)*(g + -2). Which is the nearest to -4? (a) 1\/4 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in 39, -0.4, -3\/14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 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: Differentiate -101*f*k*r*u - 376*f*k*r + 2*f*k - f*r + 2*f*u - 3*k*r*u - 2*k*r + 3*k wrt u.\nAnswer: -101*f*k*r + 2*f - 3*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 - d + 1. Let g(p) = -24*p**3 + 40*p**2 + 40*p - 40. Determine 2*g(r) + 80*s(r).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -18310000 to the nearest one hundred thousand.\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 - -0.9. Let n = -3 + f. Let l = 16 - 20. What is the nearest to n in -2, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:20 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by (-2)\/(((-84)\/(-12))\/(-35))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04387991 minus 33.56?\nAnswer: -33.60387991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 9. Let p(w) = -7*w - 8. Let r(s) = -6*p(s) - 5*u(s). Is r(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4825210 is divided by 2259.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172db (base 14) to base 7.\nAnswer: 331464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43228 is divided by 1886.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 16*k**2 - 14*k + 21. Suppose -j + 3*d = -3*j - 16, -5*j - 5*d = 55. Calculate v(j).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2217.108075 to the nearest integer.\nAnswer: -2217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019558954 to seven decimal places.\nAnswer: 0.0001956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - 7 - (6 - 6 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 520 = -b - 6*a, 4*a - 16 = 0. Let t be (-1 - 9)*72\/b. Solve 226\/3*s**3 - 48*s**4 + 32\/3*s**5 - t + 14*s - 152\/3*s**2 = 0 for s.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 2*o + o - 5*o + 7*o. Let t(f) = 19*f + 16. Let n(c) = -18*c - 20. Let u(w) = 4*n(w) + 5*t(w). Give u(h(i)).\nAnswer: -69*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.65 + -45.65. Let k = 0.8 + -0.5. Let d be (-3)\/(-2)*36\/(-432). What is the third biggest value in -5, z, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2, -6.1 in ascending order.\nAnswer: -6.1, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/(6\/(-63)). Suppose 2*m + d = m. Let t = 22 + m. Which is bigger: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 5.50788, -0.3, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402551 divided by -5253?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11226 + 2?\nAnswer: 11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8212744097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35358895 is divided by 1113.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 33789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 209 + 439 = 0. What is the common denominator of -137\/12 and (-15)\/(-38)*(-64)\/h?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (-3*(sqrt(648) + (sqrt(648) - sqrt(648)*-1) - sqrt(648)))\/((sqrt(4608)*2 - sqrt(32))\/sqrt(8)) + -5))**2.\nAnswer: 864*sqrt(2)\/23 + 31792\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/42869200 and 65\/64.\nAnswer: 171476800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimiphihhmt. Give prob of picking 2 i and 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 2*q**3 + 0*q**3 + (2*q**3 - 4 + 4)*(-1 + 0 + 0) + (-8 - 12 - 1)*(-3*q**3 + 0*q**3 + 4*q**3) in the form a*q**3 + g*q + m*q**2 + n and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(2\/4). Let q = 1 + c. Solve 0 = q*h + 5*a + 6, -4*a = -2*h + 9 + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.57447819 - 11304?\nAnswer: -11273.42552181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tddtddttdttd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/6884514 and 53\/3442257.\nAnswer: 6884514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147650 is divided by 2112.\nAnswer: 1922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:37 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 4*l - 3*l)*(4*l - 2*l - 3 - 3*l).\nAnswer: -3*l**2 - 8*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(-1*((sqrt(153)*2 - sqrt(153) - sqrt(153)) + sqrt(153)) + sqrt(153)))\/((sqrt(864)*2)\/sqrt(6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10)\/((-3)\/15). Suppose 0 = 2*p - 7*p + 5*i + 40, 5*p = -4*i + s. Let o = p + 4. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.96 - 161.96. Let f = g + 173.0025. Let y = f + -15. What is y rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 2*x**4 - x**4)*(0*x + 0*x - 3*x).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8852047?\nAnswer: 29, 305243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((2808\/(-135))\/4)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22. Let w(g) = -3*g - 22. What is -4*c(q) + 3*w(q)?\nAnswer: -9*q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/3 - 110*d**3 + 6050*d**2 - 332750*d\/3 = 0.\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/3*(-4 + -41). List the prime factors of 45615\/t - (-6)\/(-9).\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6373608 divided by -3186804?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/18*-86*2400\/(-13760)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -92607 <= -92606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 17*h**2 + 17*h - 2. Give f(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2342852.\nAnswer: -1\/1171426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, -77*r + 72*r - 159860004 = -4*f. What is r rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-16))\/((-14295)\/(-11436))*3\/(-7).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*x - 18 = -3*i + 315*x, 5*i = -x + 6. Suppose 26 = 2*h - 5*s, -4*s = -1 + 17. Solve h = i*a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2. Let s be n(0). Let d(t) = -1 + s*t + 6*t + 0. What are the prime factors of d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 278.5 + -250.61. Let o = -28 + f. Let s = 0.07 - o. Round s to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -183*l - 41. Let h(o) = o + 7. Give -6*h(i) - u(i).\nAnswer: 177*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 245 in descending order.\nAnswer: 245, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*w, 0 = 3*w - 5*n + n. Let g = 150 - 152. Which is the closest to -2\/5? (a) w (b) g (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 10*b - 144. Suppose b = z + 5*z. Let u be 1 + -3 + 2 + 22. Solve -s = 2*l - z, s - u + 9 = -5*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/2 + -1)*98\/(-882). What is the second biggest value in -108, 8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 148\/1*5*(-14)\/1260 and 1\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + o**3 + 0*o**3)*(o - 2*o + 2*o)*(4 - 2 + 0).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14548 - 35449 + 14922 - 3*v to p + z*v and give p.\nAnswer: -5979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45128 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n. Let h(s) = -1 + 0 - s**2 - s + 0 + 0. Let v(w) = -3*w**2 - w - 1. Let l(g) = h(g) - v(g). Give b(l(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6)\/1*-4*13\/260*-130\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 51*c**3 + 634*c**2.\nAnswer: -60*c**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5*v**3\/6 - 11*v**2 + 17*v. Let w(i) = -219*i + 76*i + 78*i + 67*i. What is w(m(n))?\nAnswer: 10*n - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -14. Suppose -5*d + d - 20 = 0. Let u = -0.094 + 0.194. Sort d, u, l in descending order.\nAnswer: l, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21542*g**3 - 755*g**2 - 9 wrt g?\nAnswer: -129252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 3045365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-229136*s**2 + 5*s**3 + 229135*s**2 - 64 - 3*s**3 + 3*s)*(s - 2*s - 9*s) to z + v*s**3 + g*s**2 + d*s + w*s**4 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 605 + -596. Is 24 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 6*p**4 + 198*p**3 - 423964 - p**4 + 423964 + (0 + 0 + p)*(0 - 2*p**3 + 0) + 5*p**4 - 3*p**4 - 4*p**4 + p**4 - 3*p**3 + 3*p**3.\nAnswer: 2*p**4 + 198*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuidirduxduiiiuuuu. What is prob of sequence dir?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhuzulttluzhu. What is prob of picking 3 z and 1 t?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 315013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3332 is divided by 261?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*z**3 + 447*z**3 + 4*z**2 - 2*z**2 in the form v*z**3 + f + n*z**2 + x*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101422235 (base 6) to base 12\nAnswer: 70a97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389.04893 rounded to the nearest integer?\nAnswer: -1389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0766601112 to 5 decimal places.\nAnswer: 0.07666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2594737 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 107. Let w = t - 88.025. What is the third biggest value in -0.1, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 6*b + 9. What is h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 113, -5, 5, -36, -42, 57 in descending order.\nAnswer: 113, 57, 5, 0, -5, -36, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*n + 95*n + 320 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:06 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 - 2?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaqnanannq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*k - 326*k = 836*k + 29352 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -8.11 (c) 1215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 - w + 1. Let f = 4 - -3. Let i = 8 - f. Suppose -2 + i = -c. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 6, z: 3, n: 2, v: 1}. What is prob of picking 1 v, 1 n, 1 l, and 1 z?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*6\/4. Suppose 9 = 4*n + t. Suppose 2*x = -10, 3*u + x = 6*u - 5. Solve u = -2*b + 3*b - n, -2 = -4*r + 5*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127573*q**2 - 3015*q - 140?\nAnswer: -255146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7152 and 2086?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 79550*p**2 - 1258*p. Let o(n) = -506*n**2 + 8*n. Let j(v) = -4*m(v) - 629*o(v). Let l(z) = -6*z**2 + 0*z**2 + 4*z**2. Determine l(j(q)).\nAnswer: -10952*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 15}. Give prob of sequence qiq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 2*h**2 - h. Let c be t(1). Let m be -2*((-3)\/c - 2). Solve 5*r = -2*n - 0*n - m, 2*n = -4*r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((1 - -2) + -4). Let p = 395 - 393. Which is greater: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46.0000014 + 46. Round f to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u)\/(u\/(u*u**(-1\/6))*u)*u**(1\/3)*u\/u**(-8) assuming u is positive.\nAnswer: u**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/6)\/((-54)\/(-1620)). Factor -k - 191*z**2 - 5*z**3 - 55*z - 185*z**2 + 341*z**2.\nAnswer: -5*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*q**3 - 3*m*q + 4*q**3 - 149*q**2 wrt q?\nAnswer: 18*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005517931 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -1cc?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddiddddddd. What is prob of picking 2 d?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 80625 * -5194\nAnswer: -418766250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-36)*(-32)\/40.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 11 - 10. Suppose 4*q + 4*m = 0, -5*m - 50 = -2*q - t*q. Let s be 204\/585 + (-2)\/q. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-8)*(-4)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/32555 - -221048447\/97665. Let q = m + -2284. Let z = 3197 - 19121\/6. Calculate the common denominator of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let o(x) = -3590123*x**2. What is o(v(t))?\nAnswer: -14360492*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 81. Which is the nearest to g? (a) -4 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 + 85. Let d = -51.0000029 - f. What is d rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1664190?\nAnswer: 1\/1664190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 14*q**2 - 6*q - 18. Let v = -20 - -33. Let t = v - 27. What is the tens digit of u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1870 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -7)*(-6)\/9. Let s = f - 4. Let x = s + 10. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0\/5)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -4. What is the tens digit of (c\/(-6))\/((-1)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173238 divided by -6.\nAnswer: 28873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12872, -12874, -12878, -12884, -12892?\n\"Answer: -c**2 + c - 12872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-147))\/(-2*56\/196).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142660 + 3?\nAnswer: 142663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**9\/45360 + p**8\/10080 + 5*p**4\/12 - 8*p. Let v(g) be the third derivative of b(g). Factor v(c).\nAnswer: -c**3*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248755195 rounded to the nearest 100000?\nAnswer: 248800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398 - 392. Suppose -s*c - 401 = -431. Solve -4*n = -c*p + n + 45, 0 = -4*n - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykk when three letters picked without replacement from yyyyyyykyyukyuy.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-150))\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5 + -11. Let o = -2.5 - h. What is the second smallest value in o, -3, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2 - 146226*i - 382712?\nAnswer: -2*i - 146226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 93\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/13? (a) -18 (b) -30 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - h = 3176, 0 = -2*k + 2*h - 6*h + 1288. What is the highest common divisor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 43, 4, 0.027, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 2*k - 5*z, -k = 8*k + 20*k - z + 107 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6524 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20073*w + 55*x - 695 = 20069*w, -3*x + 39 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - 36*s + 411. Is m(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*5*sqrt(72)*-3)\/((sqrt(81) - (sqrt(81) - (1*(sqrt(81) + (-1*sqrt(81) - sqrt(81))) - sqrt(81))))\/(sqrt(729)*-1))*-2)**2.\nAnswer: 2332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**3*g + 5*a**2 + 2*a*g - 13*a + 1 wrt a.\nAnswer: 54*a*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -28*d**2 + 3\/8*d**4 + 1\/30*d**5 + 3*d**3 + 0*d + 0. Let l be g(-12). Calculate the greatest common factor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 47\/4, -5\/14, -1\/637?\nAnswer: -1\/637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -14 + (-13104)\/(-486)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)*f**(-4)*(f\/(f**(-2)\/f))**(-25) assuming f is positive.\nAnswer: f**(-3222\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -35, 17, 111, 259, 473, 765?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41810.9 - -41811. Let u = -78\/11 + 311\/33. Let a = u + -3. What is the closest to i in -3, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 2\/15, 1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:35 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090894 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(1 + (sqrt(500) - (3 + sqrt(500) + 4)**2) + 1 + -4 + -3).\nAnswer: 390*sqrt(5) + 1657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*l + l + 2*l)*(-l**2 + 2*l**2 - 3*l**2) + 3*l**3 + 4*l**3 - 3*l**3)*(33 + 11 - 9) to the form k + f*l**2 + r*l + j*l**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 88657646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2075 divided by -168.\nAnswer: 2075\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x**5 + 0*x + 0*x**4 + 39*x**3 + 1\/6*x**6 - 59*x**2 + 42. What is the second derivative of z(c) wrt c?\nAnswer: 20*c**3 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*r - r + 7, -4*i = -5*r + 7. What is the third derivative of 0*o**i + o**2 + o**5 + 2*o**5 + 3*o**2 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9361 - 9360.3689. What is w rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.43 and -0.09.\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3 + 3)*(0*p**2 - 4*p**2 + 5*p**2) - 2 + 2 + p**3 + (-2*p - p + p)*(2*p**2 + 4*p**2 - p**2).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 839272 divided by 209818?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3139700 divided by -25?\nAnswer: -125588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-4)\/(-9 - -1). Let b be 2\/(44\/n)*-2. What is the nearest to b in 1, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390174?\nAnswer: 2, 3, 65029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*d + 104 = 13, 5*d - 5 = 0. Suppose -5*y + 11 = w. Let j(h) = h - 1. Let k(u) = u - 2. Determine y*j(r) + 3*k(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 7*v**5\/20 + v**4\/4 + v**2\/2 + 55*v. Differentiate a(y) with respect to y.\nAnswer: 21*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a - 324*a = -231991 - 65761. Calculate the greatest common divisor of 32 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -838606*f**4 + 575051*f - 2?\nAnswer: -10063272*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-63 - -130) - 21\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 23*j + 80 = 0. Sort 2, -521, j in increasing order.\nAnswer: -521, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - c + 5*c + 5*c + 7.\nAnswer: 5*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/4 + 510*b**3 + 97812*b**2.\nAnswer: -3*b**2*(b - 836)*(b + 156)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -25*o + 1160. Is 10567 + (o\/(-8) - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -108474494?\nAnswer: 108474517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let p(w) be the second derivative of 32*w**3\/3 - 813*w. Determine p(h(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 24 = 14*s, 0 = 3*k - 77*s + 149*s - 78*s + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119)*-1 + sqrt(119)) - sqrt(119) - sqrt(119))\/(-3*-1*sqrt(7)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101570000 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779261609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 1030*q**2\/7 - 12144*q\/7 + 36216\/7.\nAnswer: -2*(q - 503)*(q - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3.116.\nAnswer: 0.3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 19 - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-2 - (-240)\/124))\/(114\/16701).\nAnswer: 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 27, 0.09, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 - 360*t**2 + 38812*t + 39168 = 0. Calculate t.\nAnswer: -153, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0791842 and -0.2.\nAnswer: -0.01583684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/12 - (-6)\/4. Let i(z) = 9*z**3 + 2*z**2 + 2*z - 4. Let b be i(v). Factor -r**2 + 79*r + r**3 + r**4 - 1 - b*r + 1.\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56127 - -1.\nAnswer: 56128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from yqyqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/11578 and -23\/982476?\nAnswer: 6877332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/3)\/(4\/286). Let t be (4\/(-2))\/((-51)\/(-4233)). Let m = t + y. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8389646 is divided by 63080.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (2 - (5 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6133 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12092.148 months to years.\nAnswer: 1007.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let o(j) = -g*j - 3*j + 3*j. Let y(p) = 2*p**2. Determine y(o(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 8*r - 13. Give u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(363) + 0 - (sqrt(363) + 0 + 2*sqrt(363) - sqrt(363))) + 0)**2*-1.\nAnswer: -66*sqrt(3) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8*g = -0*g. Suppose g*o - o = 4*s, -10 = -3*o - 2*s. Solve 0 = -h - o*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-77)\/(-21))\/((13\/208*8)\/(-2))?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5168937.764936 - 10.235064. Let v = -5168977.80129 - l. Let h = v - -29.8. What is h rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6 - w**2 + 0 + 5 - 6*w. What is l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1846 = -h. Suppose 5*v - 53 + h = 0. Round v to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 145074*b**2 + 8132928*b - 30210336 = 0.\nAnswer: -48414, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5718956 and 4596?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2 - 382520\/(-12)). Let t be (x - 1)\/(3\/(-480)). What is t rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (2 - 1 - 2)*(4 - 3 - 3) - 5 + 3 + 0)*(-11*h**2 + 7*h**2 - 6*h**2).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -12 - (0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.58*-1725.08\nAnswer: 19976.4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 5*v. Suppose v*h = 4*h + 30. What is the tens digit of 318*(-3)\/h*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*z = 9, 7*z - 2*z - 5 = -5*i. What is the lowest common multiple of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*q = -2*q - 108, -3*q = z - 66. What is the remainder when 283 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(85)\/sqrt(5) + (sqrt(17) + sqrt(272) - sqrt(17)) + 2 - 4*(5 + sqrt(17) + -1)*5)**2.\nAnswer: 2106*sqrt(17) + 9434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 + -8 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 60*d + 4. Let x be w(3). Suppose 0 = -9*q + 190 + 1376. Suppose 2*b - x = q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 7*a + 7. Let h be v(-6). Differentiate -h - 23*u**2 + 18*u**2 - 7*u**2 - 2 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f = -6. Let a be 114\/(-18) + 2\/f. Is a equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - t - 39 + 48, 0 = -3*m - 4*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 53603161.\nAnswer: 7\/53603161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108)*-2 + 1*((sqrt(243) - (sqrt(243)*1 - sqrt(243))) + sqrt(3)))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**4\/6 + 25*p**3\/6 - 45*p**2. Let c be f(5). Solve 1 = q - 4*j - 8, -c*q = j - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18240 and 300?\nAnswer: 91200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21111302 - 21310?\nAnswer: -21133212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let h(q) be the second derivative of q**4\/2 - 11*q. Give g(h(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -167*s - 429. Let g be j(-12). Calculate the highest common divisor of 1197 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (493\/(-17))\/(-2*4*17\/(-136)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -51. Suppose -4*r + 6*r - 2896 = n. Let v = r - 781. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562 + 286 + 276 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425.001841 + 425. Round o to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-29 + 11) - 12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 + -289. Suppose -30*p = -a*p - 20. What is the second smallest value in p, -0.04, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + -5*(4*(sqrt(539)*-4 - sqrt(539)) - (sqrt(539)*3 + 4)))**2 + -2.\nAnswer: 37030*sqrt(11) + 7128802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 15. Let j be (780\/104)\/((-1)\/2). Determine w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 5508 = -101*z. Let y(c) = -c - 2. Let g be y(-8). Calculate the highest common factor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -7833, -15635, -23437, -31239?\nAnswer: -39041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84))\/sqrt(4))\/(sqrt(30)\/(-2*sqrt(10) + sqrt(10))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/((-1600)\/(-260))*(-10)\/65. Suppose -h*y**4 - 1 + 17\/6*y**2 - 5\/6*y**3 + 13\/6*y = 0. What is y?\nAnswer: -3, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 - 62*u**2 + 0*u - 77*u**2 + 135*u**2 + 2*u as y*u**2 + p*u + x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4706 + -2.39.\nAnswer: -4708.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.8864\nAnswer: -4.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413906277 and 417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/66)\/((-3)\/(-72)). Let j(h) be the second derivative of 0*h**2 + 0 - 1\/24*h**c - 1\/12*h**3 + 17*h - 1\/160*h**5. Find o, given that j(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 1069 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31486 and 3.\nAnswer: 31489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/2 - 13131*b**2\/2 + 3*b\/2 + 13131\/2 = 0 for b.\nAnswer: -4377, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose 2*w - p*o - 23 = 0, -3*w + o = -3*o - 32. Put w, -4, 2\/11 in ascending order.\nAnswer: -4, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.026*-103.\nAnswer: 105.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 2*t**2 + 2. Calculate x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 2*o - 3. Determine g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46258494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 3, i: 6, q: 1}. Give prob of sequence tti.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1010666 (base 8) to base 11\nAnswer: -1723a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105*24\/1800*10*-1*-2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22218 and 1302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(1\/19)*h**7\/(h**(-9)\/h)*(h\/h**0*h*h**(-2\/11)\/h)\/((h\/(h*h\/h**(-5)))\/h*h**5) assuming h is positive.\nAnswer: h**(218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 1, -5, -15, -3 in decreasing order.\nAnswer: 12, 1, -2, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -11 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 15*l**2 - 3*l - 8. Give k(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*p - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.064 - -0.023. Let h = b + 0.05252. What is h rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**1)\/l)\/l**(-1\/2)*(l\/(l**0\/l))**(-2\/21))**1 assuming l is positive.\nAnswer: l**(55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -1166606.\nAnswer: -45497634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940438.\nAnswer: 2, 470219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1162456*j**2 - 8 + 3 + 5.\nAnswer: -1162456*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 27, 276*j - 140*j - 34 = 138*j - 4*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 35736 = t + 69001, 0 = 4*r - 3*t - 139646. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*1\/4*-2. Suppose 3*n + i*n - 76 = -b, -5*n - b = -124. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 87*u + 1978 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let i(x) = 2*x**2 - 60*x. Determine i(j(m)).\nAnswer: 8*m**2 + 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*w - 12. Let t be w\/(-3) - (-1 + 0). Which is smaller: 9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*w - 32 - 43, 0 = 3*w - 9. Find the third derivative of -30*m**2 - 3*m**5 + x*m**2 - 2*m**5 wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 3, -1 in descending order.\nAnswer: 3, -1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4994 is divided by 2497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = n - 24, -3*w = 4*n - 4 + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwlluloowwzuwluw. Give prob of sequence lw.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*v + v - 135, 4*r + 2*v = 250. Let f be 1\/(-4) + (6 - r\/16). Solve -5*z = 5*j - z + 26, f*z = 3*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06172 and -1140793426?\nAnswer: 1140793425.93828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156624134, -156624133, -156624132?\n\"Answer: g - 156624135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - (-596)\/28. Let o be -1*1 - f\/(-27). Suppose 5 = -5*q + 4*d, 5*q + 4*d + 30 = -15. What is the nearest to 1\/3 in -2\/11, q, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2697 and 414594.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 14. Suppose t - 27 = -20. Let w be t - 2*(-4)\/i. Which is greater: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 12. Let m be h(7). Suppose 5 + m = 5*q. Solve -l - p + 3 = 4, q*l = 4*p + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38612 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1238640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:52 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -275a70 + 222?\nAnswer: -275849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 321*x - 17085. Calculate p(53).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n**2 - 2 - 10*n**3 - 31*n**2 - 2*n**2 + 11*n**2 + 4*n**4 + 2*n + 0*n**3 to the form a*n**4 + s + d*n**2 + q*n + x*n**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 537*t + 718*t + 1052*t + 10)*(8*t - 3*t - 2*t) to v*t**2 + a*t + l and give v.\nAnswer: 3699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20 - 1) + (-15096)\/816. Let t = -0.1 - -0.5. Sort n, t, -1 in descending order.\nAnswer: n, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*3 + 1 + sqrt(200) - (0 + sqrt(200)*2))**2 - ((2*sqrt(200))**2 + 1 + sqrt(200) + 3)*-1.\nAnswer: 50*sqrt(2) + 1605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 - 9 + 144*s**2 to n*s**2 + b*s + t and give n.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.14.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6310.728um to millimeters.\nAnswer: 6.310728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 281555, 563116, 844677, 1126238, 1407799, 1689360?\n\"Answer: 281561*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 5*o - 6. Let c = 0 + 6. Let w be m(c). Let a = 8.9 + -9. What is the nearest to a in -2\/13, -1, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 u when three letters picked without replacement from taauatoaz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2140*y + 1440 = -2120*y. Calculate the remainder when y is divided by (2 - 0)*(-38)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -48. Let w = 3 + -5. Is r < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d + 7. Let a be u(6). Suppose 5*t - a = -3*l, -4*t - 2*l + 0*l = -52. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 330 = m - 318, -5*m + 144 = 12*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -8*a**3 + 898. Let l(z) = 2*z - z - 3*z. Give l(n(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*1\/(-6). Let z = -8241 - -8248. Suppose 6 = 7*a + 20. What is the smallest value in c, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.1 + -50. Let d = 2.9 + w. Let n be (12\/16)\/3 + 0. Which is the biggest value? (a) d (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670869, -2683533, -6037991, -10734243, -16772289, -24152129?\nAnswer: -32873763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diii when four letters picked without replacement from diiidiiiiddiiidiii?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-15))\/(349\/((-827130)\/(-316))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1489, -0.32, -0.03, -0.5.\nAnswer: -1489, -0.5, -0.32, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*q - 146*q = -3*b - 1782, 69*q + 3*b = 64*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34466 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 3, m: 4}. What is prob of sequence nms?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 22. Let h(d) = -2*d - 9. Let s be h(n). Suppose -4952196 = s*b - 13952196. Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, 1 x, and 1 r when four letters picked without replacement from ttaoxartaao.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4917*g + 14790*g - 4935*g - 4922*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.784698t in milligrams?\nAnswer: 9784698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 148 + 47 = 0. Solve -h = 2*b + c, -b - 9*c + 10 = -14*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)*(k\/(k*k\/(k\/k**(-2\/19)*k)))\/k*k**5*k*k**(2\/5)*k*(k**(-2\/5)\/k*k)**(-1)*k**1*k*k*k*k**(-6)\/k*k assuming k is positive.\nAnswer: k**(1588\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 405 = 2*m - 5*f, -m + 3*f = -110. Suppose -93*k = -m*k. Calculate the remainder when ((-268)\/(-5) - k) + 2\/5 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.45 + 20. Let h = l + 0.15. Let k(v) = 2*v - 1. Let s be k(1). Which is the closest to h? (a) 5 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 s when three letters picked without replacement from {n: 1, s: 1, o: 2, v: 2, z: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.14 - 0.14. What is the closest to -1 in -0.2, 0.5, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4 + 3 - 10*t + 2. Let v be (-18 + (-629)\/(-34))\/(1\/(-2)). Give d(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-36)\/(q**(-30)*q) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 7. Let q be t(-8). Let h = -160.2 - -160. Suppose 3 = p + 4. Put p, h, q in decreasing order.\nAnswer: q, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l - l + 0 + 0 + l + (-3 + 1 - 1)*(0*l - l - l) - l - 2 + 2 + (0*l - 7*l - 13*l)*(2 - 4 - 1).\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*v + 131 = -55*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 1. Let v be a(1). Let c be ((v - 3)*1)\/4. Let h be (-16)\/(-18)*(-2)\/8. Is c smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y + 19*y + 28*y - 69*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -228\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119258813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1575.8291 + 1576. Let n = g + -0.17. Round n to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 7*g**3\/6 - 7*g**2\/2 - 59*g + 41. Let x(w) = w**2 - 8*w + 8. Calculate -6*c(i) - 5*x(i).\nAnswer: -5*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1658 and 9816964.\nAnswer: 9816963.8342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -6, 0 = -23*z + 28*z - 2*w - 49. Solve 0 + z = -q + 3*m, -11 = 5*q + 2*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x + 187. Suppose 6*y = -2*t + 9*y - 39, -4*t - 4*y - 88 = 0. Let p be w(t). Let u = -2.9 + 3. What is the closest to u in 3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 64*v**2 + 24*v + 25. Let f(h) = 20*h**2 + 9*h + 9. Let x(p) = 8*f(p) - 3*w(p). Let b(i) = 95*i**2 + 8. Determine 3*b(k) + 8*x(k).\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Suppose 19 = w*j - 6. Suppose 0 = h + j*g - 10, -h + 2*g = -2*g - 55. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 9 = -79. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3 + 5 + 3 - 10 + 4. Let x(d) = d + 1. Calculate u(o) - 3*x(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -52. Let r = -32 + o. Suppose -6*b + 20*b = 154. Solve 2*j = -c - 2*j + b, 40 = -r*c + 5*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:38 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 10*j - 11*j - j + 4*j - 2*j + (0*j + 2*j + 0*j)*(-2 - 1 + 2) - 1 + 1 - j)*(3*j - 2 + 4 - 1).\nAnswer: -36*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238926?\nAnswer: 2, 7, 11, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454540474, -454540475, -454540476, -454540477, -454540478, -454540479?\nAnswer: -454540480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.512671 - -29.51. What is v rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 11, l: 4, a: 2}. Give prob of sequence vvj.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, v: 6}. What is prob of picking 1 c and 1 w?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**4 + q**3 - q - 1. Let d(z) = 7*z - 1 + 3*z**2 - 2*z + 3 - 2*z**4 + 3 - 11*z**3. Let s(i) = -d(i) - 5*p(i). Find k, given that s(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 54 - 4*g + g - 2*g + 3*g. Let v be b(25). Solve v*c + 28 - 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*m - 2*m + 31, 0 = 2*z + 4*m - 6. Calculate the least common multiple of 3 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768948 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 2, 5, 4, -6\/5 in ascending order.\nAnswer: -6\/5, -4\/9, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133024125 (base 6) to base 7.\nAnswer: 31430363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355110 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*u**2 + 14*u**3 + 0 - 9*u**3 to i*u**3 + n*u**2 + m + b*u and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37575 divided by -12525.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + 5 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 15*y = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**6\/2 + 3*d**5\/5 + 15*d**4\/2 - 4*d**3 - 36*d**2 - 1672. Determine n, given that p(n) = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 5*z + 45 = 0, 5*z = -25. Suppose 0 = p*w - 16 - 32. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = c - 90, 27*c + 180260 = 5*g + 180170 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**5\/12 - 5*k**4\/8 - 5*k**3\/3 + 2*k**2 - 15*k. Let t(n) be the first derivative of h(n). Let t(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/40 and -27\/16209998.\nAnswer: 324199960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 95 = h, -53 = -4*k - 0*h + 3*h - 28 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 3 - (-2 - 1)) + 2. Suppose 5*t = f*t - 21. What are the prime factors of 1162\/t + 2\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.74 + -0.16. Let s = -77.22937 + 79.1293593. Let p = s + m. What is p rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 997705 - 1042295 = 0. What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Rearrange -48*j**2 - 47*j**2 + j**3 + 95*j**2 - 18 to the form m*j**2 + p + t*j**3 + s*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141478 is divided by 442.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6280d - -84?\nAnswer: 62893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**2 + 4*t - 4. Let f(w) = 17*w**2 - 5*w + 5. Let z(m) = -4*f(m) - 5*l(m). Let q(y) = 40*y**2. Determine z(q(c)).\nAnswer: 19200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155425 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/102760 and 59\/41104.\nAnswer: 205520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 6. Let u be (-3)\/c - (-18)\/12. Suppose -12 = -u*h - 2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 56 + 53*c**2 - 38*c**2 + 87*c**3 - 23*c**2 to u*c**3 + f + a*c + w*c**2 and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3012418 and 10.\nAnswer: 9.6987582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3\/16, 47, -11.6, 3.\nAnswer: -11.6, -4\/3, 3\/16, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695226?\nAnswer: 2, 3, 7, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*i = -222*i + 4392. Let z(d) = -d**2 - 9*d - 3. Let y be z(-8). Solve 2*m + y = -r, -r + 5*m = 3 - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*o = -121*o - 232197. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)\/(m**(2\/7)*m*m))\/(m\/m**(1\/3))**34 assuming m is positive.\nAnswer: m**(-6854\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r - 21. Let b be d(-7). Suppose 3*p - 55*l - 328 = -53*l, -2*p + 5*l + 204 = b. What is the remainder when p is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037255639 to 6 decimal places.\nAnswer: 0.003726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b - 4126?\nAnswer: -40a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 45*j**3 + 47*j**3 + 0*j + 2*j**4 + 2*j**2 - 3 in the form z*j**3 + c*j**2 + g*j + u*j**4 + x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099651 is divided by 1064.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13926239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 - d + 1. Suppose 0*x + 4*x - 76 = 0. Suppose -7 + x = 4*l. Let f(a) = 5*a + 9*a**2 + 10*a**3 + a - 9 + l*a. Determine -2*f(h) - 18*j(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:06 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -w + 15, 8*w - 24 = 3*w - 3*i. Suppose 0 = -w*y - 26 + 104. Suppose -23*j = -14*j - 351. Calculate the greatest common factor of j and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17374\/5950 + 3*(-1 - 0)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -83. Let v be z\/154 - (-10)\/35. Which is the biggest value? (a) 2\/9 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 42*g - 28. What is k(-23)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -379*c - 3. List the prime factors of h(-1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z - 4. Let m = -5 - -9. Let r be h(m). Suppose 7*v = 4*v + r. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 3*d + 3*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -52 - -1) + (-58 - (33 - 76)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1094, 1090, 1078, 1052, 1006?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 27*s = -25*s - 2, 0 = 5*t - s - 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Let o = -3 + 2. Let s(v) = -14*v**2 - 12*v + 12. Let p(c) = c**2 + c - 1. Let a(z) = o*s(z) - 12*p(z). Give a(y(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 854 (b) 0 (c) 3 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:25 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1178)\/(-31)*(-74)\/(-4)?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1\/7)\/((-108)\/(-42)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 11. Let r = 3 - -5. Let z(n) = -n + 17 - r - 4*n + 1 - 15*n**2. Let b(t) = -3*t**2 - t + 2. Determine p*b(s) - 2*z(s).\nAnswer: -3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - a - 15. Let j be t(-2). Sort j, 20, 2, -5.\nAnswer: -5, 2, j, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/69, -4\/5, -15806, 1 in descending order.\nAnswer: 1, 2\/69, -4\/5, -15806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29738303?\nAnswer: 7, 523, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 165. What is the lowest common multiple of x and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(2\/4 + 10\/(-20)). Which is the second smallest value? (a) s (b) -4 (c) 1.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122372243.\nAnswer: 7, 17481749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8\/7)*v**(-1)*v**(-2)*v*v\/(v\/(v*v**(1\/4)))*v assuming v is positive.\nAnswer: v**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -3 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 - 6*d + 185)*(1 - 1 + 2*d)*(4 - 6 + 4)*(3 - 5 + 1)*(3 + 1 - 1).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 3*s**2 + 7*s - 24. Determine i(8).\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/171 + -394\/2223. Sort 0, -4, 0.14, t, 2\/7.\nAnswer: -4, t, 0, 0.14, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515913 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2 - 6*j**2 - j + 0*j + 0 + 7 + j**3. Let o be p(6). Let z(n) = -35*n. Does 12 divide z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 8*d - 13. Let z be g(5). Let c(v) = z*v**2 + 471 - 471. Let o(x) be the third derivative of -x**5\/15 - 2*x**2. What is c(o(l))?\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44941939\/190 - -236539. Let p = 3\/38 - m. Is p bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 - -6)) + 4 - (3 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 377\/87 - (-1)\/(-3). Let p(v) be the first derivative of 4*v**3\/3 - 3*v**2 + 8*v - 2. What is the units digit of p(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25060 (base 10) to base 5\nAnswer: 1300220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21181, -84645, -190403, -338443, -528753, -761321, -1036135?\n\"Answer: 2*y**3 - 21159*y**2 - y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425461 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-2 - -6))*(-9)\/6. Suppose -y*x + 2*g + 5114 = 0, -7*g + 12*g - 10 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -590 - -594. Calculate the highest common factor of 13 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*p = -33500, -2*s - p + 8290 = -5110. Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 14846*w**3 + 27794154*w**2 + 903789610*w + 4969701100 = 0.\nAnswer: -3695, -26, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (16\/(-7))\/(34\/(-119))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + 3.98. Sort a, -5, 3\/8.\nAnswer: -5, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 4*y, -4*y + 4 = -c + 3. Let o be (c + (-36)\/8)*4. Let b = o + 27. Solve 4*k = -4*x + 8, 4*x + 6 = 3*x - b*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqqqqpqpp. What is prob of sequence qp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 11753?\nAnswer: 5\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1194579*y - 1194574. Calculate c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:25 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4804*f**2 + 3002492*f + 5000 = 0. Calculate f.\nAnswer: -2\/1201, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4592 - -8006. What are the prime factors of q?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 5*k + 2*k)*(-5 + 2 + 0) - 4*k + k - 7*k to u*k + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 638 + -636. Calculate the smallest common multiple of m and 438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -249, 783, 4 in ascending order.\nAnswer: -249, 4, 5, 783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 - 7*q + 20. Let h be o(8). Let r = h + 919. Suppose 5*k - c = r, 0*k + 4*k = 5*c + 254. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 + -643. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -18.1. Which is greater: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11042\/317 or -35?\nAnswer: -11042\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4 + 138*p**3 - 141*p**2 = 0. Calculate p.\nAnswer: -47, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**3 + 26*x**4 - 4*x**3 - 2*x**3 + 2*x**3 + 128*x**2 wrt x.\nAnswer: 624*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*h - 3*i - 14, 0 = -h + i + 1. Let z be 0\/(-2 - (-2 + h)). Solve 5*s - 3*f = 22, -s + z*f = 5*f + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c + (0*c + 0*c - 2*c)*(-1 + 2 - 3) + (-4 + 3 + 0)*(4*c + c - 3*c) + 3*c + 1 - 1 + 3*c + 0*c - c - 2 + c + 2)*(-c**4 + c**4 - c**4).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -176, -937, -2264, -4163, -6640, -9701, -13352?\n\"Answer: -a**3 - 277*a**2 + 77*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:43 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 + 7*p - 18. Let b be d(-4). Suppose 0 = -3*y - 2*y - 4*l - 5, 0 = -l - 5. Factor -12*u**4 + 22*u**3 + 12*u**b - 3*u - 12*u**3 - 7*u**y.\nAnswer: -3*u*(u - 1)*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -21986094.\nAnswer: 21986094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/11 + 636*k**2\/11 + 342*k + 5616\/11 = 0?\nAnswer: -312, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 2*n**2 - n**2 + (3*n - n - 4*n)*(3*n - 3*n + n) - 11*n**2 + 21*n**2 + 21*n**2.\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/126)\/((108 - 107)\/((-6)\/(-1))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g*g\/g**(1\/4))**(-8\/3) assuming g is positive.\nAnswer: g**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.8 times 3?\nAnswer: 281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*s - 2120. List the prime factors of s.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 4*r**2 + 4*r + 10. Let n be (-4)\/(-5)*(5 + 0). Suppose -23 = -n*i + 2*o + 5, -2*o = 0. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18450196547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.05 or 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 27*n - 70. Let i be t(-24). Find the third derivative of 204*h**i + 0*h + h - 109*h**3 - 78*h**2 - 77*h**2 wrt h.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:20 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -103\/5 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 108 = 9*y, 5*y = -y + 5*y + d + 12 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 22*r = -27*r - 40, r + 20 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*f = -2*o + 40, -20 = -5*f. Find the second derivative of -o*k**5 - k**5 + 22*k - 11*k wrt k.\nAnswer: -280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84447 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010011101011 - -100101010?\nAnswer: -11000001111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5930 divided by -124819.\nAnswer: -5930\/124819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17465, -17140, -16821, -16508, -16201?\n\"Answer: -3*b**2 + 334*b - 17796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k**2 + 65*k**2 - 128*k**2 + 5.\nAnswer: 13*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.705492 rounded to 2 decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**(-11)))\/y)\/y**(-2))**(-10) assuming y is positive.\nAnswer: y**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**2 + 3. Let d(n) = 2*n**3 - 4*n**2 + 3*n + 1. Let y be d(2). Let q(w) = -y - 3 - 3*w + 19*w**2 + 3*w + 5*w**2. Determine 10*h(p) + 3*q(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**3 + 29*l**3 - 26 + 21*l**2 - 42*l**3 + 32*l - 7*l**2. Determine h(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12755*l + 1169. Is k(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1380102 + 9679942 = 148*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 4*h + 1. Let n be m(-5). Let c(q) = q**3 + 15*q**2 + 3. Let z = -32 - -17. Let g be c(z). Solve -g*w + 0 - n = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271 = -5*o - 2*z, o - z = -0*z + 250. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59951, -119900, -179847, -239792, -299735?\n\"Answer: q**2 - 59952*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81906 and 1898.\nAnswer: 1064778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/980 - 28\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8308820.\nAnswer: 2, 5, 13, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5476 + 819340*w - 819339*w + 2826)*(-3 - 1 + 5).\nAnswer: w + 8302","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*g - 18 = -3*g, 2*g + 14 = 2*i. Let y = 979 + -976. Suppose 4*t - 1 = 5*j - 10, j = 2*t + y. Put t, i, 5, 3 in ascending order.\nAnswer: t, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1322 (base 14) to base 6\nAnswer: -23322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 29*s**2 - 70*s + 205. Determine g(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 76*i + 510. Calculate p(-70).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3468 divided by -3766.\nAnswer: 1734\/1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 3*g. Let y(w) = 11*w - 54. Let c(j) = 5*j - 27. Let r(t) = g*y(t) - 13*c(t). What are the prime factors of r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/150 + 53*t**4\/60 + 18*t**3\/5 - 5*t**2 - t + 63. Factor p(b).\nAnswer: -2*(b - 54)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n*n**(2\/21))**(-2\/133) assuming n is positive.\nAnswer: n**(-74\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 654135 (base 7) to base 10\nAnswer: 114294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 14*m + 8. Let w be z(4). Suppose w = -4*s - 8, -2*b + 21*s + 416 = 23*s. Calculate the smallest common multiple of 12 and b.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 - (-172)\/(-36). Let o be 5\/(10\/(-8)) - 1. Let l be o\/12 + 2\/(-8). Which is the closest to l? (a) m (b) -3\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 515\/(-600) + 4\/10. Let t = -5\/24 + s. Which is the closest to -1\/2? (a) 2\/15 (b) 3\/8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 771078.8ml?\nAnswer: 771.0788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4869 = n + 8*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 + 38 = 4*v, -5*g + 55 = 4*v. Suppose 5*f - v = -0. Suppose -d - 4 = -3*k + f*k, -2 = 3*k + 4*d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-9)*108\/60. Let m = -4 - -6. Which is the closest to r? (a) 2\/11 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 400504854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -23*s + 37. Let o(x) = -6*x + 9. Give 9*o(f) - 2*q(f).\nAnswer: -8*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7.3, 4, 1\/3, -2 in increasing order.\nAnswer: -2, 1\/3, 2, 4, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**4 + y**3 - y + 2. Let x(v) = v**5 - 12*v**4 - v**3 + 80*v - 2. Let a(z) = -o(z) - x(z). Find the second derivative of a(p) wrt p.\nAnswer: -20*p**3 + 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -331, -687, -1189, -1843, -2655, -3631?\n\"Answer: -y**3 - 64*y**2 - 17*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let j(i) be the first derivative of 7*i**2 + 7*i - 12. Let n(x) = 7*x + 3. Let a(h) = -3*j(h) + 7*n(h). Give u(a(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 24108*z + 24103*z + z**3 - 48211*z.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Suppose 33*n + 29*n - 43*n + 95 = 0. Sort -1, j, n, -6 in increasing order.\nAnswer: -6, n, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277\/4104 + -1\/152. Which is smaller: 3\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 0*o = -2*o. Suppose 0 = 4*s - 4, -3*k - s - 3*s = -13. Suppose -j - 4*w + 4 = 0, -j + 2*w + 8 = j. Solve j*d - 24 = -4*t, -d + o = -k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/27 < -1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 6*r + 3. Let z(n) = -4*n**2 - 6*n - 2. Let y(j) = 3*c(j) + 4*z(j). Let d be y(-5). Solve -t + d = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -56\/45 (b) 2\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 7*g - 14. Let z be y(4). Put 2, 1, z, -5 in descending order.\nAnswer: 2, 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2338\/63 + (-3)\/27. Suppose y + 2*t - w = 0, 6*y - 3*t - 17 = 5*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22631262*j**3 + j*v**3 + 46*v**3 + 2240*v**2 - 3*v + 2 wrt j.\nAnswer: 67893786*j**2 + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:50 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(304)*-1 - sqrt(304))**2 + sqrt(304) + 1 + 5 + (-5 + (sqrt(304) - (-1 + sqrt(304) - sqrt(304))) + (sqrt(304) + 0)*-3)**2.\nAnswer: 68*sqrt(19) + 3974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 18, 48, 88, 138, 198?\n\"Answer: 5*c**2 + 5*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -69*t - 218. Let n be d(-4). Calculate the greatest common factor of 1885 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y**2 + 3*y**2 + 2*y**2)*(0*y + 3*y - y) - 3*y**3 + 0*y**3 + 4*y**3 + 6*y**3 + 17*y**3 - y**3 to c*y + a + q*y**3 + i*y**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6769.9229672 - -9.\nAnswer: -6760.9229672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4805\/3 (b) -10 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9999977 - 11. What is i rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 71718.\nAnswer: 2\/35859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (4 + -6 + 26)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.211 + -81.589. Let t = 82 + y. Let p = 23 + -20. What is the closest to -0.03 in p, -3\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/(((-45)\/(-75))\/((-3)\/2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/60 + 5*u**4\/12 - u**3 + 3*u**2. What is the remainder when y(-11) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5419972km?\nAnswer: 54199.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 4*p**2 - 5*p - 6. Let a(k) = -k**2 - k - 1. Let r be -2 - (-4 + 9) - -1. Determine r*a(q) + w(q).\nAnswer: -2*q**3 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -935*k + 9348. Give y(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 times -0.04019?\nAnswer: -68.52395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 - -547. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1144\/(-130)*(-5 - 10\/(-8)). Solve -v - q = 2*q + 1, -7*v - q + x = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*w - 24*w + 10*w**3)*(-3 + 1 - 1)*(14 - 19*w - 14) to x*w**3 + t*w + y*w**2 + d*w**4 + h and give d.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 263000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*r**3 + 390*r**3 - 134*r**3 - 133*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -965, 1, -279, 30.\nAnswer: -965, -279, -5, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26370335 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r. Let d(k) = r*k + k + 8 + k - 5. Suppose 1 = f - 2. What is d(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - -2*(sqrt(756)*1 - sqrt(756)))\/((sqrt(7)*2*1 + sqrt(7))*6) + 4.\nAnswer: sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:01 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2*(-2)\/160*-8.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4641 + 162529\/35. Let i = -16\/7 + a. Find v such that 12\/5*v**3 + i*v - 8\/5*v**4 + 0 - 8\/5*v**2 + 2\/5*v**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 3)*(0 - 2 + 1)*(-1 + q**3 + 1).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1216243 + -2?\nAnswer: 1216241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1973.007855 - 1973. Round u to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(2*k - 5*k + 2*k) + 5*k + 0*k - 3*k + (k - 3*k + 0*k)*(363 + 62 - 20)*(-1 - 1 - 1) - 3*k + 2*k - 4*k.\nAnswer: 2426*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 49 + -83 - (-3 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 57, -2, -85, -192?\n\"Answer: -12*j**2 + j + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1614 * -0.01\nAnswer: -16.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a5 (base 12) in base 2?\nAnswer: 10100011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -360.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12809?\nAnswer: 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 21993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -2)*(-3)\/2. Suppose 5*v + 3*m + 235 = m, -2*m = 0. Let b = -14 - v. Calculate the highest common factor of o and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:43 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064306550?\nAnswer: 2, 3, 5, 7095377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -415*d*p*v**3 + 20*d*p*v - 2*d*p - 21*d*v**3 + 788*p*v - 2*v**3 wrt v.\nAnswer: -2490*d*p*v - 126*d*v - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 6, 16, 40, 84?\n\"Answer: j**3 - 2*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34335, 137357, 309065, 549465, 858563, 1236365, 1682877, 2198105?\n\"Answer: f**3 + 34337*f**2 + 4*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:15 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 7. What is m(5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172 + 169. Which is the third smallest value? (a) -3\/2 (b) u (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/(-4)))\/(70\/42).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -i + 4*i, 5*i = y + 15. Let q = i - 0. Suppose 12 = -18*l + 66. Solve 4*v = -d - 1, -q = -l*v - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -171. Let t(u) = 2*u - 343. Give -7*p(h) + 4*t(h).\nAnswer: 8*h - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -14*u + 3432. Is 44 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 + 1327. Calculate the highest common divisor of 49 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0 (b) 33 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 5*y**2 - 2*y - 5. Let u(x) = -4*x**3 + 6*x**2 - 2*x - 6. Determine -6*a(c) + 5*u(c).\nAnswer: 4*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 18113498 + 4686502. Round j to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 + 4*y + 186. Let t = -65 - -65. What is the tens digit of h(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 8, 38, -2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 94. Let y = 75 + f. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(5428\/4068 + (-4)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + 1 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1779*g = 1776*g + 6. Let n be (-2)\/(-4)*(-26 + 0). Let d = n + 89\/7. Which is the closest to d? (a) g (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*u + 2*y - 21, 5*u - 45 = -5*y. Let r(t) = 2*t**2 - 5*t + 9. Let m be r(u). Suppose 5*n = 5*w + 210, -2*n - w = -138 + m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-14))\/(-2) + (-50)\/(-175)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/((-12)\/72). Suppose 0 = -3*u - v - 55 + 1248, -f*v = 4*u - 1590. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -755869 plus 3.284?\nAnswer: -755865.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 586*q**3 + 4*q**2 - 4.\nAnswer: 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = 5*l + 5*f, -2*f - 14 = 4*l. Let n be (-12)\/5 + 4 + -1. Which is the third biggest value? (a) l (b) 0.9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*h + 9*h - 722*h - 12032 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -127, 1, 5, 12, 3\/2, 1\/3?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345 - -196. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 4, w: 2, g: 2, m: 1}. What is prob of sequence ww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7908 + 0.8. Round o to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5459, 21732, 48853, 86822?\n\"Answer: 5424*u**2 + u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(1900) + -2))**2.\nAnswer: 4320*sqrt(19) + 615744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 53 - 94) + (10 - (-4 - -7 - 1))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 83*l - 2320. Let v be x(28). Let a(h) = -h - 7. Let k be a(-6). Put k, -5, v in ascending order.\nAnswer: -5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 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: Factor -5*j**2 + 430*j - 9245.\nAnswer: -5*(j - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 440.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2352 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(2 + sqrt(2)*4) + (-4*sqrt(242) - sqrt(2) - (sqrt(8) + 0)**2).\nAnswer: -69*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22751.277 - -22750.487000224. Let l = -0.79 - y. Round l to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.009.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 62*n**3 - 81*n**2 + 248*n + 14. Give t(3).\nAnswer: 1703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 65 + 41 - 2 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4178.55 rounded to the nearest 10?\nAnswer: -4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 - 5*b + 1. Let o(v) = -v**3 - v**2 - v + 5. Let a be o(0). Let l be u(a). Calculate the greatest common factor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (50 + 20 - 15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:34 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - ((-18 - -8) + 32).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-34 + 21 - 44).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 2 - (46 + -49).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n + 42. What is u(-9)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00302716 rounded to five decimal places?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 3*g)*((2*g + 3*g - 3*g)*(-5*g + 0*g + 3*g) + 22*g**2 + 60*g**2 + 98*g**2).\nAnswer: -176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 266*v - 10666797 - 959797. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/4)\/p)**(10\/17)*p**(2\/13)\/(p**(-2\/27)\/p)*p*p*p**(1\/8)*p*p**(-3\/10)*(p**0)**8 assuming p is positive.\nAnswer: p**(932251\/238680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 141462 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*r + 80 - 46, 0 = -6*r + 2*a + 88. Solve 33*h + 19 = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 2, y: 18}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.7 - -27.3. Let y = r - -1.1. Which is the third biggest value? (a) -2.2 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 320 - 419 - 771)*(4*o**4 + 3*o**4 + 4*o**4).\nAnswer: -11407*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2101 + 1?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s - 1. Let w(p) = 3*p**3 - 6*p**2 + 8*p - 7. Calculate -5*c(i) + w(i).\nAnswer: 3*i**3 - i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2843*o - 42946. Determine x(15).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**8\/10080 - t**5\/20 + t**3\/6 + 25*t**2. Let h(d) be the third derivative of v(d). Let j(y) = -14*y. What is j(h(k))?\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 130. Let f = m + 58. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*f + 1008 = 0, 4*f = -4*d + 3*d + 252. Let b(l) = -2*l**2 + 24*l - 21. What is the remainder when d is divided by b(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/6 - 2*w**2 + 4*w. Let x(n) = 4*n + 4. Let u be x(3). Suppose 7*b - 3*b = u. Give q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-40)\/(-12))*72\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -21 - 59. Solve -5*h - m = -29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(14\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -204173, -204678, -205183, -205688?\n\"Answer: -505*v - 203668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {q: 9, g: 7, k: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138439209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*-4*3\/(-9). Suppose 20 = w*d - 9*d. Let f(b) = -5*b**2 - 7*b + b**2 + 3*b**2 - 5. What is f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, 1 f, and 1 o when four letters picked without replacement from oouqqeoqofoofoofouo?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222790, -891130, -2005024, -3564466, -5569450, -8019970, -10916020, -14257594?\nAnswer: -18044686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17531, 17534, 17531, 17522?\nAnswer: 17507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 + 22 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 0.8. What is the smallest value in t, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 19 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose -w + v*w - 10 = 0. Suppose 0 = 2*s - w*i - 52010, -6 = i + 2*i. What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402 by -1710.\nAnswer: -67\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from srrrssrrstrrs.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000093874672 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27489464 divided by 73\nAnswer: -376568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 65. Let a = 62 + d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l + 38*l - 23*l - 4. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7449525.938 + -4337724553.938. Let l = -4330275051.00000039 - v. Let g = -23 - l. Round g to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*w**2 + 30873*w**2 + 110106*w**2 + 73254*w**2.\nAnswer: 214966*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 1793146*x\/5 - 803843144329\/5.\nAnswer: -(x + 896573)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46757*-0.18\nAnswer: -8416.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 1 - 1 + (s + 2*s - 2*s)*(-3 + 6 - 2) - 4 + s + 4 + 2 + s - 2 + (s + s + s)*(2 + 1 - 19).\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 48 = 4*f. Suppose b + 3*b = -f. Let k(i) = -4*i. Calculate the remainder when k(b) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478569769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 301203101023?\nAnswer: -301203101023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 less than or equal to -308\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*n)\/n*n**(1\/13)*n*n\/(n\/(n**(-2\/5)*n*n))*n**(-12) assuming n is positive.\nAnswer: n**(-2078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 290 - 280. Suppose -t*m = 3*m - 390. Let q be 30*(-1 + 21\/6). What is the highest common divisor of m and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.83 - 206.17. Let s = -108 - m. Let t = 98 - s. Is -1.6 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6426 and 1904.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*q**3 + 7*q**3 - 289*q**3 - 2 + 2.\nAnswer: -541*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w + 3 - 3)*(13 + w**2 - 13) - 6*w**3 + 19*w**2 - 19*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 10*c**2 - 8*c + 12. Let h be i(-9). Put 2, -3, h in descending order.\nAnswer: h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8 and 33\/2173?\nAnswer: 17384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {r: 1, n: 5, b: 3, m: 1, g: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4859 + -829. Round o to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -5\/6, 3, 1\/5, 0.11, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 4*c + 5*y, 2*y = 15*c - 14*c - 47. Put 5, 1, c, 0 in decreasing order.\nAnswer: c, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0, 5, 10\/7, -385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*2*(4 + sqrt(720)) - (-3 + 1 + sqrt(720) + -1)**2) + -5.\nAnswer: -777 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 5*s - 5. Let o(m) = -m + 1. Let l(i) = 4*k(i) + 20*o(i). Let t(g) be the second derivative of g**4\/3 - 6*g. Calculate t(l(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -769, 0.4, 57, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/74344500 and -67\/189?\nAnswer: 520411500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87 and -0.12.\nAnswer: -87.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/21*-6*-1 - 2. Put -2, 1, -3, t in ascending order.\nAnswer: -3, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 5. Let a be w(-3). Let c be (-1)\/2*(-1 - -3). Let t be a + -2 - c*2. Solve 0 = -t*s - 1 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t - 3*t)*(3*t**2 - 4*t**2 - t**2)*(2 + 1 + 4) in the form r + l*t + p*t**2 + d*t**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 2*a**2 - 76*a + 23. Let y be c(0). What is the greatest common factor of 19 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 10*l + 12. Let i be c(-9). Let s(k) = -6*k**2 + 5*k + 2. Let p(q) = 5*q**2 - 4*q - 1. What is i*s(x) + 4*p(x)?\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 43 = -5*v, -3*g + 0*g = -4*v + 29. Let s = -14 - 1. Let q be 826\/35 - 6\/s. Calculate the greatest common divisor of v and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18704 + 32223. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/65291?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 40 = 3*k. Suppose -4*f = -2*f + 3*n - 10, -k*n + 10 = 2*f. Find the third derivative of 20*i**f + 20*i**2 - 3*i**2 + 13*i**2 wrt i.\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109096 + 64432. What is y rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*p - 13 - 11 + 33*p as j + y*p and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 637\/(-245)*5\/(-130)*-14?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2589*a + 90*a + 102706 = -8*a + 20503 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 673, 1513, 2691, 4207?\nAnswer: 6061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 98*u + 84. What is q(48)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524780804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 679 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103 and -0.1591.\nAnswer: 16.3873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 + 3*l - 7. Let k be j(5). Let s = k - 11. Let y(d) = -2 + 2 - d + 13 - 12. Give y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533236185.\nAnswer: 5, 13, 137, 167, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1 + 5.7. Which is the nearest to -0.1? (a) h (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 2. Let n(v) = 6*v - 5. Let s(p) = 17*p - 14. Let b(t) = -8*n(t) + 3*s(t). Calculate -6*b(h) - 5*g(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*l*u*y**2 + l*u + u - 3 with respect to y.\nAnswer: 376*l*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 295*u + 11. Is f(30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346797881*j**2*s + 652827*j*s + 41*j - s wrt j.\nAnswer: -693595762*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (52\/65)\/((-44)\/(-10))*11. Find the second derivative of -4*l**z + 18028 - 49*l - 18028 + 52*l**3 wrt l.\nAnswer: 312*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3*(1 - 1). Suppose w = -0*a + 2*a - 96. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) + sqrt(144) + 2*sqrt(144)).\nAnswer: sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206969?\nAnswer: 7, 29567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9705 divided by -9?\nAnswer: 3235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*5)\/((-3)\/12*-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15745)\/(-469) + -53 + 6\/14 - -71.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44872 = -343*y + 39506. Calculate the greatest common divisor of y and 44034.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 37, 121, 275, 523, 889, 1397, 2071?\n\"Answer: 4*s**3 - s**2 + 13*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 0)\/(6\/20). Let v(u) = -6*u**2 - u**2 - 4*u**2 + 14*u**2 - 2*u**2 - 9*u - 7. Let g be v(c). Sort g, -5, -2 in decreasing order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15640637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -5\/3, 0, -577 in ascending order.\nAnswer: -577, -5\/3, 0, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 345 - 319 = 0. Solve -24 = -2*f - 4*d, -a = 4*f - 3*f - 3*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1248)\/(-36))\/13*9\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(-7)\/(-14)*4243\/(-2).\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4400 + 4976. What is the highest common divisor of 5256 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -46*m**2 + 207. Let z(l) = -l**2 + 3. Let h(b) = -y(b) + 69*z(b). Let k(g) = -19*g**2. Give h(k(i)).\nAnswer: -8303*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -29*h + 1 - 5*h - 6*h + 1 + 4*h. Let p(d) = 1. Give -2*p(y) + x(y).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 11.5, 19?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {y: 1, n: 1, a: 1, r: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -180*s - 900. Does 51 divide h(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let f(a) = a - 3. Let z be f(5). Let k(t) = z*t + 7 - 7 - 8*t. Determine k(u(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 78 = -26*y + 63. Solve 5*f + 3*h + 28 = 13, -4*f - y*h - 25 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 934227 and 1323?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -64*d**2 - 129*d. Let f be h(-2). Sort f, 0, -268, -5.\nAnswer: -268, -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnfbmmmvbbbmddmdfdmf. Give prob of picking 1 v, 1 f, and 1 n.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from wlwlwtwwklwy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14579 + -14577. Solve 9*o + 8 = -l*f + 11*o, 0 = -3*f + 5*o - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 172\/70 + (-28)\/(-20) + -1. Is 3 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 8355881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523 (base 7) in base 14?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-364)\/195 + 3*(-2)\/(-3). What is the second smallest value in 4, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7*x + 149 = -2*j + 121, j - 5*x + 16 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222565 is divided by 5181?\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 6*v**2 + v - 2*v + 2*v**2 - 1. Let g(c) = 5*c**2 + 3*c + 2. Let m(d) = -2*g(d) - 3*i(d). What is the derivative of m(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469151 is divided by 234575.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-58))\/(6532\/(-47357)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 7. Let j be o(4). Let z = 4 + j. Suppose -17 = -f - z. Solve -x = 4*x - f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26151 = 3*g - 4*l, g - 26156 = l. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 10956*r - 41643126.\nAnswer: 2*(r - 8061)*(r + 2583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 45. Calculate the least common multiple of b and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16128613*a**3*g + 1494542*a**2*g - 2*g wrt a?\nAnswer: 96771678*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) 1\/2 (d) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wffwffffkfk. Give prob of sequence kkf.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33681707, -33681722, -33681745, -33681776, -33681815, -33681862, -33681917?\nAnswer: -33681980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let q be a(0). Let u = -22 - -23. Is u equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**3 - 10*u. Let h(b) = -b**3 + b. Let v(m) = -35*h(m) - 4*q(m). Factor v(j).\nAnswer: -5*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*y + 1 - 5, s - 3 = 0. Suppose -y*c - 5*m = -3*m - 14, 29 = 3*c + 5*m. Suppose -4*p + c*d + 36 = 0, -2*p + 29 = d + 1. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + (0 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.55 + 0.75. Let s = -4 + y. Let g = -17 + 16. Which is the biggest value? (a) g (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138*c**3 + c**5 + 136*c**3 + 10 - 275*c**3 + 2*c**5 + 0*c**5 - c**5 + (-6*c**4 + 5*c**4 + 0*c**4)*(-3*c + 2*c + 0*c).\nAnswer: 3*c**5 - c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/2*(-4)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, -1\/8, -0.3, -5, -16738, -1?\nAnswer: -16738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 68. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4229 - -4445. Calculate the least common multiple of h and 7.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 23*g**6\/6 - 21*g**2 - 38. What is the second derivative of m(l) wrt l?\nAnswer: 460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22997, -45994, -68991?\nAnswer: -91988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 + 13*s - 4*s - 65.\nAnswer: 9*s - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 75 + (0 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -33*p - 1. Give v(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4592503344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 f, 1 i, and 1 d when four letters picked without replacement from {n: 1, i: 1, d: 2, f: 1, a: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 441996*a*m**4 + a*m**2 + 6*a*m + 47*a - 128 wrt m.\nAnswer: 10607904*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2 - 2)*(3*q**2 - 2*q - 3*q**2 - 30*q**2).\nAnswer: -120*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8686, 8688, 8690, 8692?\n\"Answer: 2*c + 8684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -178 + 19 - -93?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4275*y**3 + y**2 - 3*y + 2. Let r be z(2). What is r rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6) + -1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1411501*j - 2645822*j - 356964*j - 9. Let a be l(-7). Suppose -5*h + 2*n + 51500000 = 0, a = 2*h + h + 3*n. Round h to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/20217445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**14*w)\/w*w)\/w)\/(w*w*w\/w**0) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 3, -3, -9 in decreasing order.\nAnswer: 35, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 904*u**3 + 2053*u**2 + 828. Find the second derivative of a(p) wrt p.\nAnswer: 5424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1076799 - -2020328. Let m = s + -943529.759939. Let t = m + 0.76. Round t to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76673.87um to kilometers.\nAnswer: 0.00007667387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1514.5 to the nearest ten.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41092399021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/s)**16*(s*s**(-2\/7)*s)**(-2\/63) assuming s is positive.\nAnswer: s**(-1048\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00056291 to 5 dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 16*a - 26. What is u(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 60*u**2 - 31*u + 60. Let c(t) = 15*t**3 - 845*t**2 - 435*t + 840. Let g(k) = -6*c(k) + 85*n(k). Factor g(i).\nAnswer: -5*(i - 1)*(i + 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 + 0) - (-11 + -2 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8706*t**5 - 12051*t**2 wrt t?\nAnswer: 522360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074956645 to seven dps.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4916322 less than or equal to -4916322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3015 = 3*x, 22 = 4*x + 2. Find the first derivative of -15 + r*v**3 - 588*v**3 + 58 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.0823 - -0.0823. Let f = 4.07 + -0.07. Which is the third biggest value? (a) o (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 2156.\nAnswer: 73304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 2b?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (6 - 1) - (4 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/49 + -12\/49. Let q = 3.3 + -3.1. What is the closest to b in -0.1, q, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {i: 1, g: 1, l: 2, e: 1, a: 10, v: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 10*b - 57 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-147)\/(-5383))*3. Let m = w + 769. Let -2\/7*j**4 - 2\/7*j**2 + 0 + m*j + 4\/7*j**3 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11029*f**2. Let m(y) = -y**2. Determine m(w(x)).\nAnswer: -121638841*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + ((sqrt(110) - (sqrt(110)*2 + sqrt(110) + sqrt(110)))*-6)\/((sqrt(180)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 108*sqrt(11) + 3571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 divided by -1?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117))*5*-3 + (2 + (3*sqrt(117) + 2 - sqrt(117)))**2.\nAnswer: 3*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/7 - 90802*m**2\/7 + 1032031390*m\/7 - 31905771950\/7 = 0. What is m?\nAnswer: 31, 22685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q + 3*q - 17*q + 32*q + 17*q + (5 - 1 - 2)*(0 + 0 - 2*q) + q - 4*q + 4*q + 1.\nAnswer: 31*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h. Suppose -2*n + 0*c = -4*c - 28, 4*c = 8. Let y = 14 + -9. Solve -n = 5*z - p - h*p, 6 = z - y*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6394357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -217\/241 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 2, z: 4, s: 1, i: 2, l: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 3276.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042670995 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -9 + 5 - (-1257)\/162 and -61\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-5 + 14)) + 4. Which is the closest to -2\/5? (a) -121 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 21.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -41318188.\nAnswer: -1\/20659094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*f**4 - 146600*f**3 - 12172*f**2 + f - 62 wrt f.\nAnswer: 960*f - 879600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + 3. What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 143, 226, 227, 80, -281, -922, -1909?\n\"Answer: -11*p**3 + 58*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -108, -468 in descending order.\nAnswer: 0, -108, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -3*v. Let b(j) = 3*j**2 + 12*j - 8. Let y be b(-7). Suppose 0 = -2*d - v*d + y. What is the highest common factor of d and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 4. Suppose 833 + 1627 = 4*l. Let h(i) = -616*i + 1 + l*i - 3. Determine -10*h(c) - 4*p(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.56 times -0.191\nAnswer: 0.29796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 75*d + 52*d = -213*d - 2512 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*c**2*i*m**3 + c**2*i*m**2 + 25*c**2*i*m - 9*c*i - c + i*m + 14*m**3 wrt m.\nAnswer: 90*c**2*i*m + 2*c**2*i + 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1361583025.22 - 0.62.\nAnswer: -1361583025.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3902 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -818206.\nAnswer: -39\/818206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 27*a - 1663 = 5*a - 4918 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.4. Suppose l + 1 = -0*l. What is the second smallest value in 3, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6583 is divided by 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2687576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*d**4 + 19*d**3*u - 345*d**2*u + 2*u wrt d?\nAnswer: -768*d + 114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*n + 12, 0*n + 4 = -n. Let o = 1 - v. Suppose m - 2*r - 32 = o*r, 2*m - 3*r = 39. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57537186769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**3 + 160*y**2 - 52*y + 47. Determine v(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 54. Suppose 3*s - 4*w + 4 = 5*s, -w = -u. Let v be (-10)\/s*6\/5. Solve -2*j + 4 = l, -20 = -j + 7*l - v*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 496. Suppose -3*s = 15, -19*v + 15*v - 3*s = 507. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 3*w, -4*w + 1 = 2*n - 3. Suppose 0 = 3*f - 12, -f = -n*c + 4*f - 8. Solve 0 = -4*k - 2*r - 26, -5*k - 8*r - 45 = -c*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2524 - 7?\nAnswer: -2530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -21\/2*c**4 + 10*c**3 + 49\/20*c**5 - 4*c**2 - 1 - c. Let d(f) be the first derivative of s(f). Factor d(t).\nAnswer: (t - 2)*(7*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esuiivq. Give prob of picking 1 q and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - v - 5. Let x(h) = -h**2 + h - 4. Let y(n) = 2*a(n) + 2*x(n). Let d be y(-3). Solve 4*p - 2 - 10 = d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1096\/14473 + 1405331363\/231568. Let o = d - 6074. Find the common denominator of (-10)\/(-8)*(-436)\/(-30) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/(-22))\/((-5)\/242). Let s = o - 967\/60. What is the common denominator of s and -47\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.877864mm in meters?\nAnswer: 0.001877864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1825, 1543, 1259, 973, 685?\n\"Answer: -i**2 - 279*i + 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22271624?\nAnswer: 2, 229, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pphppppppppp. Give prob of sequence ph.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 1. Let a(c) = -c**3 + 5*c**2 - 6*c - 8. Give a(d) + 6*n(d).\nAnswer: -d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101111 (base 2) in base 11?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 113, 116, 117?\n\"Answer: -a**2 + 8*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + p + p**2 + (6 + 6 - 4)*(-2*p**2 + p**2 + 2*p**2) to c*p**2 + o + l*p and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.134 - -0.134. Which is greater: 4\/41 or g?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (106 - 60 + 317)*(-6*f + 2*f + f) in the form l + p*f and give p.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 3*i - 30. Suppose i*b - 255 = b. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -1672 + 1657 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izizizzz. Give prob of sequence zz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-69)\/(-23)*427\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(22\/(-66))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -389.5 - -389.50014125. Round u to six dps.\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let v(p) = 8*p - 13. Let g(o) = -2*o + 3. Let d(x) = 26*g(x) + 6*v(x). Calculate r(d(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/11)*x)\/x*x\/(x**(-3\/8)*x*x)*x*(x**(-10)\/x)\/(x**(2\/35)*x) assuming x is positive.\nAnswer: x**(-35701\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*s + 3*t, 3*s + t = -3*t + 11. Calculate the remainder when 9 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and -87\/43830352?\nAnswer: 219151760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35117855 from 24797.\nAnswer: 35142652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*95\/38*9\/30.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/21 - 4*n**2\/7 + 16*n\/21 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.9, -2\/3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16613584 divided by -16613584\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (-3 + sqrt(1088))) + sqrt(1088) + -4 - (3 + sqrt(1088) + -1)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + 4*z + 2*z)*(0 - 5 + 4) - 5 - 2*z + 5 - 6*z + 5*z - 3*z - 3*z - 4 + 4)*(-2 + 2 - 5).\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - p**2 + 109*p + 361. What is r(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22\/5 - 208\/45. Let w = 4 + -6. Let y = -1.8 - w. Which is the third smallest value? (a) -2\/11 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41318*b + 41318*b + 41353*b - 123914*b.\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*g**2 - 169764*g - 33952 = 0. What is g?\nAnswer: -8488, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -260*d + 88*d + 87*d + 86*d. Suppose -60 = 3*o - 8*o. Let i = -9 + o. What is z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -w + 297, -5*w + 4*t = 7*t - 1491. Let o = w + -226. Calculate the remainder when o is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-2)**2 + (sqrt(5) - (sqrt(45) + 1)**2).\nAnswer: -5*sqrt(5) + 1954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9942133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 21\/12. Let w be (k + -2)\/(2\/1). Let i = 791\/12507 - 1\/379. Is w less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**5\/45 + 4*j**4\/9 + 20*j**3\/27 + 4*j**2\/9 + 929. Factor z(k).\nAnswer: 4*k*(k + 1)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 87 = 21. Let s = x - 18. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114662306 + -2?\nAnswer: 114662304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2. Let s(f) = f - 2. Let w(i) = -a(i) + s(i). Let j(t) = 33*t**2. What is w(j(p))?\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 243*x - 8 = 242*x, 3*q - 23 = -4*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -383631 (base 10) to base 6\nAnswer: -12120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(2*-2*sqrt(5)))**2 - ((sqrt(4)\/(sqrt(8) + sqrt(2)))**2 + -6*sqrt(32) + sqrt(2)).\nAnswer: -7\/72 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32699758.\nAnswer: 2, 7, 13, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*y + 3, 0 = x - 3*y - y - 6. What is the third derivative of 271*s**4 - 263*s**4 + s**6 - 142*s**x + 16*s**2 wrt s?\nAnswer: 120*s**3 + 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209460?\nAnswer: 2, 3, 5, 149, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*w = -4*m + 28, 0 = -5*m + 4*w. What is the remainder when 1 + (m - 8) - -42 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 3, r: 2, h: 1, j: 4, n: 1}. Give prob of sequence fq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0.7, -144?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/((-227283)\/(-158)) - 376\/4830.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6073216*m**4 + 7207633?\nAnswer: 24292864*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0 + 0*w - 1\/30*w**5 - 16\/3*w**3 - 11*w**2 + 2\/3*w**4. Factor f(v).\nAnswer: -2*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/30 - 13*b**5\/60 + 28*b**3\/3 + 12*b**2 + b. Differentiate k(m) with respect to m.\nAnswer: 12*m**2 - 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 74581157 - 74581157 + 4*v**2.\nAnswer: -4*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 - 4*t**2 + 2*t + 1. Let y(a) = 7*a**3 + 4*a**2 - a - 1. Let n(i) = -6*s(i) - 5*y(i). What is n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.9869 and 1460.\nAnswer: -11660.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801092133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.272619 to two dps.\nAnswer: -78.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*30\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*y + 4)*(-y + 2 - 2)*(y - 4*y + 4*y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/8*r - 1\/4 - 3\/8*r**2.\nAnswer: -(r + 1)*(3*r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2*r**7\/105 + 3*r**4\/8 - 23*r**3\/6 + 7*r**2 + 2*r - 2. Let x(y) be the first derivative of g(y). Differentiate x(c) wrt c.\nAnswer: -16*c**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (173 - 78) + -97 + (-6 - -3) + 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/4)\/((-10)\/4) - 4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -164*f + 650. Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.03, 11 in increasing order.\nAnswer: -0.1, 0.03, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269719, 539409, 809107, 1078813, 1348527, 1618249, 1887979?\nAnswer: 2157717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218 - 436 - 930*d**3 + 218 - 853*d**2 wrt d.\nAnswer: -5580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 3. What is w(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 bigger than 547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*q**3 + 40*q**3 + 1 - 40*q**2 + 0*q**2.\nAnswer: 126*q**3 - 40*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7 - 4 - 326*b.\nAnswer: -326*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11513.707 + -10588.1. Let w = o + -909.60616. Let n = w - 16. What is n rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 80. What is the least common multiple of 4 and c?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d**(-7))**16 assuming d is positive.\nAnswer: d**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.16 - -1.76. Let h be ((-2)\/(-8))\/(1*(-5)\/(-70)*7). Sort 21, 2, d, h in ascending order.\nAnswer: h, d, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/4712 and -63\/116?\nAnswer: 136648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 837, 2459, 5687, 11073, 19169, 30527?\nAnswer: 45699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 2. What is the least common multiple of 4 and r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/22*(-218)\/(-109).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = 2*m. Let o = m + -13. Let w(n) = -n**2 - 6*n - 1. Give w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3755 - -1ac?\nAnswer: -3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.43 - -3. Let r = 0.53 + h. Which is bigger: r or 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36714 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + -1.8. Let y = 11 + j. Which is the nearest to 4? (a) -4 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.2. Let i = 37011 - 36677.06. Let p = -334 + i. Put 0.3, y, p in decreasing order.\nAnswer: 0.3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -4*l + 4. Let r be (0 - (-4 + 1))*l. Suppose 2*p - 2 = -4*q - 10, -4*p = q + 2. Put r, 5, q in increasing order.\nAnswer: r, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -191*n + 9552. What is v(50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7035, -14078, -21125, -28176, -35231?\nAnswer: -42290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 2*k**2 + 6*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r. Let l(z) = -z**2 + 7*z + 13. What is the remainder when k(-4) is divided by l(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -29*k**4\/12 + 5*k**3\/6 - 3*k**2 - 4*k. Find the first derivative of o(d) wrt d.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-6)*h)\/h**(1\/4))\/((h\/((h*h**(1\/2))\/h))\/h**(1\/6)) assuming h is positive.\nAnswer: h**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*p**3 - 153*h**2*p**2 + 3*h**2 - 55*h*p**3 - 4*h*p**2 + 4*p**2 wrt h?\nAnswer: -4*p**3 - 306*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-83260)\/736 - -133)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:43 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.424956 nanoseconds to milliseconds.\nAnswer: 0.000006424956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpf when four letters picked without replacement from vvnvfvdnrpvfnvfppn?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u = -79*u + 115. Suppose u*f = 13*f + 30. Solve -f*x + 2 = -d - 0, -5*d - 10 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -358.9*3\nAnswer: -1076.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1885 - -2728. Let y = 842.9999599 - b. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*1 + sqrt(216))*5)\/(-4*sqrt(40)\/sqrt(5)))\/((2*sqrt(4356))\/(2*sqrt(100))).\nAnswer: -25*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2 + 13*t - 12 = 0?\nAnswer: 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -13. Let o = -1 + u. What is the remainder when (40 - (-2 - -14)) + 21 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57904 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 119.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3, 2 in descending order.\nAnswer: 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.886499516 rounded to 4 decimal places?\nAnswer: 7.8865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19.7105 + 6348\nAnswer: 6328.2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085096 is divided by 13806.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23448783?\nAnswer: 3, 59, 137, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12098, -24187, -36276, -48365, -60454?\n\"Answer: -12089*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 8, i: 5, j: 3, b: 2, x: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4774 - 4749 = 0. What is the lowest common multiple of d and 2291?\nAnswer: 11455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(2\/113)*(c**0*c*c*c)**4 assuming c is positive.\nAnswer: c**(1354\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3025, -0.2?\nAnswer: 3025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012191 rounded to five decimal places?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooj when four letters picked without replacement from {j: 13, o: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/21 (b) 1\/697 (c) 19 (d) -1\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + 28. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 12*j + 76. Let h be t(-5). Let q(c) be the second derivative of -c**3\/6 - 2*c**2 - c + 4. Determine q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 3*i = 39, 190*p - 192*p + 24 = 2*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 77. Find the third derivative of -2*r**l + 162*r**3 + 0*r**2 + 4*r + 114 + r - 114 wrt r.\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n + 1 - 1 + 28*n + 152*n**2.\nAnswer: 152*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1621065l?\nAnswer: 162.1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5238 or 0.4?\nAnswer: 5238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 4, r: 5, g: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l**2 - 64*l**2 - 55*l**2)*(-3 - l**3 + 3).\nAnswer: 106*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -366691 > -366686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.1. Let o = 0.017 + -60.217. Let c = o - -60. Put p, -0.04, c in decreasing order.\nAnswer: p, -0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/(-4)*(-50)\/(-200). What is the closest to 2\/5 in -1.01, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 759587 and 6731?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2349\/(-270)) + 9 + 189\/(-18).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393827897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 9:41 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) + -1)) + -5 + sqrt(99)) - (5 + (sqrt(99) + (sqrt(99)*2 - sqrt(99)))**2))*5 + 2.\nAnswer: -1983 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10515.\nAnswer: 3, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/180 + l**5\/60 + l**3\/2 + 5*l**2. Let x(w) be the first derivative of d(w). Find a such that x(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 372, -5, -7, 4, 1, -1 in ascending order.\nAnswer: -7, -5, -1, 1, 4, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6 - 0. Let m be (0 - -2) + 1 + -1. Let y be m\/7 - (-6)\/28. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l + l. Let n be (-2)\/10 - (-2)\/l. Suppose m - y + 1 + 4 = n, 5*m = 2*y - 16. Is m bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 2*m + 3. Let f(y) = 2*y**2 + 3*y - 4. Let q(k) = -4*f(k) - 5*o(k). What are the prime factors of q(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-390)\/(-26) + -18)*(-1 - -2). Which is the closest to -0.01? (a) -3\/14 (b) 1\/4 (c) p (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 162086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v - 0*v. Suppose -2*b = -8, -5*b - 16 = -4*h + 44. Let d be (60\/(-275))\/(4\/h). Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-27)*99\/(-132)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -4*o + 8, -q + 2*o + 2 = 0. Let p be (-1)\/((-16)\/(-6) - 3). Are p and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.65. Let n = 0.05 + i. Put 4, n, 5 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3605 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + (112 - 266) + -12.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 134 + 2*w**4 - 996*w**3 + 5058*w**3 + 134 to the form c*w**2 + z + y*w**3 + g*w + k*w**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 141495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**3 + 2\/105*j**7 + 0*j**6 + 0*j**4 + 0*j + 0 - 3*j**2 + 1\/20*j**5. What is the third derivative of t(q) wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100010100 (base 2) in base 4?\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**4 + 0*j**5 + 0*j**3 + 0 - 6*j**2 - 1\/6*j**6 - 6*j. Find the first derivative of h(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4053011152 + 2?\nAnswer: -4053011150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(12)\/sqrt(2)*-1*-6)\/(sqrt(200) - -4*-1*sqrt(200))*3.\nAnswer: -2 - 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 80 = 2*o. Suppose 0 = 5*y + g - 3697, -2*y - g - 598 + 2075 = 0. Calculate the lowest common multiple of o and y.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 12. Let q = -0.1 + 0.1. Which is the second biggest value? (a) q (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31903262 > -31903265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c + 3. Let k be c\/(-6) - (-2055)\/90. Solve 3 = -3*u + q - 5, k = -3*u + 4*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22022 + 11?\nAnswer: 22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + 33 + 24 - (-150 - 1).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1407 and -68\/39.\nAnswer: 18291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -1, -3, -2.\nAnswer: -4, -3, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 929776.4 nanoseconds?\nAnswer: 0.9297764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (0 - -2) - -3. Suppose 2*x - 6092561 = -2*i - 3*i, i + t*x = 1218507. Suppose 2*b = i + 10181487. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = -3*x, 4*u - 5*x = -27. Let l = -108 - -112. Which is the closest to 1? (a) l (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3890+0.03\nAnswer: -3889.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = -5*k + 20, k = 4*o + 22. Let t be 27\/6 - o\/10. Suppose 2*m - 29 = t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**2 + 5*i**2 - 4 + 5*i + 16*i**2 + 0 - 11. Let j(h) = -16*h**2 - 8*h + 24. Let p(b) = -5*j(b) - 8*w(b). Let a(d) = d. Calculate p(a(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -30*p + 2. Let v be j(-5). Suppose -2*r = 4*g - v, -r = -3*g + 60 + 59. What is the greatest common divisor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/20)\/((-10)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**3*w**2 - 24*a**3*w + 9*a**3 + 612*a**2*w**2 + 3*w**2 wrt a.\nAnswer: -42*w**2 - 144*w + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.49 + 0.51. What is the biggest value in -3, m, -0.4, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.98765 milliseconds to microseconds.\nAnswer: 9987.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-83304)*-24)\/(2\/13)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (791\/14)\/((-4)\/(-8)). Let j = u + -108. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*o + 15 = 7, 0 = -4*v - 2*o - 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 7*r**2 + 10*r - 9. Suppose -5*u + 0*u = 3*z - 8, 0 = -z + 5*u + 16. Let v be a(z). Solve -3*m - 3*f = -3 + v, -2*m - 4*f - 18 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**3 + 209*t**2 + 47*t - 215. Let x be u(42). Sort 61, x, -50 in increasing order.\nAnswer: -50, x, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*v - 6 = -579*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Let y = 300 - 902\/3. Sort f, -2\/7, y, 0.5 in ascending order.\nAnswer: y, -2\/7, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2894*a + 141215. Give h(-49).\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.305 centimeters in kilometers?\nAnswer: 0.00047305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27\/7 (b) -2 (c) 0.7 (d) 1 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*h = -48, -4*u + 46 = -5*h - 14. What is the highest common divisor of u and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -20*c**5 + 244*c**4 - 1068*c**3 + 1964*c**2 - 1312*c + 192 = 0.\nAnswer: 1\/5, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 59205326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2 (c) 1 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 28*c + 33. Let v be i(15). Solve -4 = -v*s - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (1 + -16)) + 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 170 = -a - m, 45 = 3*a - 5*m. Solve -5*y = 31*c - 36*c - a, 5*c = -25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -80. Suppose -5*x - 38 = -4*k + 38, 0 = 4*k - x - 92. What is the least common multiple of k and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 2*d)*(192 + 297 - d + 0*d).\nAnswer: -4*d**2 + 1956*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2, -4*d - d - 6*l + 9 = -10*d - 182 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t - 10. Let f be ((-2)\/t - (-32)\/80) + 2. Solve -2*s - 4*z + 8 = 36, 2*s = 2*z + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - u = 577, 4*t + 2*u = 664 - 208. Suppose 0 = -5*b - 2*c + 32, -26 = -2942*b + 2943*b + 4*c. What is the highest common divisor of b and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 15. Let l be 344\/(-215) - (-46)\/10. Solve -4*f = w - l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**2 - 274892164*u + 183261448 = 0 for u.\nAnswer: -22907681, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -56. Let z(v) = v**2 - 2*v. Let d be z(f). Let j(b) = 3*b**2 - 2*b + 2. Let g be j(2). Solve -g = u - d*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 37 = 5*j, 29 = 2*s - 4*j + 3. Suppose -h = -s*h - 14. Let f = 10 + h. Solve -f*m - 10 - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 33*s**2 - 24*s - 21. Let b(w) = 4*w**3 - 34*w**2 - 26*w - 20. Let f(x) = -4*b(x) + 3*i(x). Is f(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2630017 + 2630017.1210002048. Let h = x - 0.121. Round h to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191537420.\nAnswer: 2, 5, 9576871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 4 = 0. Differentiate 1 - 5*y - 7 - f with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -123615500?\nAnswer: 123615522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w. Let a = -5 + 0. Let y(j) be the second derivative of -7*j**4\/12 + j**3\/2 - j**2\/2 - 613*j. Determine a*f(b) + y(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 452, 907, 1362, 1817?\n\"Answer: 455*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzzz when four letters picked without replacement from {x: 7, b: 5, z: 7}.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-800)\/560)\/((-10)\/112) + -48.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569 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 x be -4*22\/4*2. Let g = x - -74. Suppose -5*n + 0*n - 2*z + 30 = 0, -5*n + g = 3*z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19980.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322830754 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*s = q - 10, -18 = -3*q + 3*s. Let m be (-2 + 8)*2\/q. Let n(d) = 0*d + d - m*d. Let v(p) = 4*p**2. Determine v(n(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(165)\/(sqrt(9)\/sqrt(3)) + sqrt(55) + sqrt(1980)*1)\/(2*(sqrt(1584) - (sqrt(1584) + sqrt(1584) + sqrt(1584)*2 + sqrt(1584))*5)).\nAnswer: -sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 675 = -2*h + 24, 4*v = -4*h + 1396. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130233 = 270*r + 3095*r - 42*r + 538962 for r.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((18\/16)\/(3\/4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 - 11*w**2 - 3*w + 14. Let p(z) = -2*z**3 + 4*z**2 + z - 5. Let d = 33467 - 33464. What is d*v(f) + 8*p(f)?\nAnswer: -f**3 - f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*q = 64, -5*q = -7*q. Suppose -j*o = -15*o - 7004. List the prime factors of o.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from rrvzrrrrrzrrrrrrzvrr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2047, 2018, 1939, 1786, 1535, 1162, 643, -46?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 2*u - 9. Let j = 15 + -8. Let b be v(j). Let r = b + -4. Solve -3*a = r - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**2. Let v(h) = -26*h**2. Give y(v(s)).\nAnswer: -7436*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 45*o + 509. Determine p(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018407222 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*m - f**2 + 4*f*m*u - 42*f - 31*m*u + 2*u wrt m.\nAnswer: 2*f**2 + 4*f*u - 31*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:55 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 25 (b) -49 (c) -2.5 (d) -2 (e) 4 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-41*t**4 + 43*t**4 + 34*t**4)*(-2 + 2 + t) - 3*t**5 + 3*t**5 - 2*t**5 + 3*t**5 + 3*t**5 + 3*t**5)*(1 - 2 - 2).\nAnswer: -129*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771075 less than 0.107?\nAnswer: -1771074.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3629*m + 4407*m - 656*m + 8929 - 8929 to o + g*m and give g.\nAnswer: 7380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94.941 + 0.041. Let k = p + 95. What is the smallest value in -1, -0.9, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 4*b**2 - 5*b**2 + 6*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -64, -78, -102, -136, -180, -234?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706276779 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/((-1278)\/(-5265) + 22\/(-143))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b9b9 (base 14) in base 12?\nAnswer: -107b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 - 44\/(-12). Suppose h - 16 = j*c - 7*c, -c = 3*h - 4. Let a = 1\/1846 + 51\/1846. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11420011 (base 5) in base 2?\nAnswer: 11010001111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1421 + 54204*g - 54206*g - 1288.\nAnswer: -2*g + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3038 and 120?\nAnswer: 182280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*d - 24. Let o be ((-12)\/d)\/((-2)\/(-20)). Solve 0 = 3*f - 6, -5*f + 2*f = 2*i - o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**2 - 5. Let t(i) be the first derivative of -14*i**3\/3 - 8*i - 12. Calculate 8*h(n) - 5*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*r - 2173901 = -2175034 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17978*k**2 - 1235*k + 9.\nAnswer: -35956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*o + 2*s, -4*o + 3*s + 57 + 114 = 0. Calculate the least common multiple of o and 1615.\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -732*b*k**3 - 3*b*k + 923*b - 16 wrt k.\nAnswer: -2196*b*k**2 - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6891.\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cucuc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21076191?\nAnswer: 3, 691, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (135\/25 - 5) + (-896)\/65. Let x = 9596\/715 + l. Suppose -3*h = -0*h - 3. Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8322359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(5\/6)\/a*a))\/(a*a**(-15\/2)))\/(a*(a\/a**(-36))\/a*((((a*(a**(-46)\/a)\/a*a)\/a)\/a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166978825 to the power of 1\/2, to the nearest integer?\nAnswer: 12922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 63 - 23 = -x. Which is the nearest to 0? (a) 31 (b) x (c) -4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 4*i - 37*i**3 - 56*i**3.\nAnswer: -93*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d - 6*d + 10*d)*(-d - 1 + 1)*(d**2 - 4*d**2 + d**2).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30159 + 30159.26. What is the nearest to -2 in -1, 0, x, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8165 is divided by 680.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2362385 * 0.23.\nAnswer: -543348.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 415100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691 + 1912 - 13*r - 617 - 623 to m + a*r and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, 5, 6, 7, -57 in decreasing order.\nAnswer: 7, 6, 5, -57, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 11. Let k = h + -8. Let a(y) = -14*y - 14. Let b(v) = 5*v + 5. Calculate k*a(j) + 17*b(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p**2 + 57*p**2 + 47 - 10*p**2 - 47 - 20*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 915864557 or 915864556?\nAnswer: 915864557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 42*x. Let c = 38 + -16. Let s(q) = c - 22 - q**2. Give p(s(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiipiiiiiiippii. Give prob of sequence pi.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 66 - 78 + 317 - 33*u - 83.\nAnswer: -33*u + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d\/d**(2\/7))\/d)\/d)))\/d*(d**(-1)\/d)\/d*(d*d**(-1\/4))**(-3\/32) assuming d is positive.\nAnswer: d**(-4799\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417525 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, -191, -2, -19, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/13, -0.05254, 1?\nAnswer: -0.05254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326948083 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -26*r**2 - 85*r + 191. Let t(s) = 16*s**2 + 57*s - 127. Let w(f) = 5*a(f) + 8*t(f). Find the first derivative of w(q) wrt q.\nAnswer: -4*q + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 9}. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/9 (b) -0.06 (c) 1\/31 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by -2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(405) - sqrt(405)*-3) + sqrt(405) - (-1 + sqrt(1125)))*-2)**2.\nAnswer: 480*sqrt(5) + 36008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by 1699?\nAnswer: -83\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8621513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1022 - -2334. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5629*q**3\/6 - 1486*q**2 - 47*q + 1. Find the first derivative of m(y) wrt y.\nAnswer: 5629","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x + 63*x + 39*x - 4 - 5. Let m be n(2). Suppose -4*y - 47 = -j - 0*y, -3*j + 5*y = -m. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16643 + 7322923\/440. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*g = -110 + 53 - 98. Let r(v) = -10*v**2 - 3*v. Determine r(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 2 e when four letters picked without replacement from jjuevyjeujeuuu.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -25. Suppose -29 - 75 = -4*z. Calculate the remainder when 125 - -4*4\/8 - o is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 85.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/(1*1\/((-3)\/3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4 - 11*s**3\/2 + 39*s**2\/2 - 29*s\/2 + 5\/2 = 0.\nAnswer: -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 1, v: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40818140.\nAnswer: 2, 5, 11, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83086125 or -83086127?\nAnswer: -83086125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*h - 2 = -4, 80*h - 23*h = f - 110 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Suppose 46 = 3*w + 2*a, 4*a = 3*w - 4*w + j. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 7 = -a + z, 0 = -a + 4*z - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 410.289 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/9 and -5\/169443.\nAnswer: 169443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (21 + -2 - 3)) + 31 + -18 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 17, 10, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 4*j = -822, -o - 3*j = 421. Let r be ((-134)\/(-16))\/(36\/(-1784)). Let l = o - r. Is 1 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, -214.\nAnswer: -214, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = -8. Put b, 10, 3 in ascending order.\nAnswer: b, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -21, -49, -95, -165, -265, -401?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2\/2 - i + 4. Let o be l(-5). Is o\/(-4)*(-2930)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 - 4*x**2 + 2*x. Let v = 9 + -6. Suppose 0 = -5*z - 2*a + 8, 2*a = -8*z + 7*z. Suppose r + z = 2*m + 1, -5*m + v*r = -1. Calculate b(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + 2. Let m be (2\/(-3))\/(6\/(-18)). Let s be f(m). Let b(o) = -6*o**3 - 2*o**2 - 4*o - 3. Is b(s) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -504061.75 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbghubbvhvghuavu. Give prob of picking 1 b and 1 v.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 17 + 2. Let z = -2.2 - -0.1. Let q = z + 1.1. Which is the smallest value? (a) 4 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3\/2*a**2 + 0*a + 10 + a**3. Factor v(f).\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 12, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m - z - 1, 5*m = -4*z - 1. Find the common denominator of -27\/22 and (-4 - (-130)\/44) + m\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -8\/3925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -0.06 (c) -4 (d) -1\/16 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.0961nm to millimeters.\nAnswer: 0.0006050961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - x = 2182 + 880, -5*z - 4*x + 3027 = 0. Calculate the remainder when z is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/37 or 771?\nAnswer: -68\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -99843 to the nearest one hundred.\nAnswer: -99800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v - 11. Let b(a) = 8*a - 6. Let n(t) = 11*b(t) - 6*d(t). Let g(w) = -2*w. What is g(n(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let l = -400 - -404. Let y = -0.1 + 0. Put l, b, y in decreasing order.\nAnswer: l, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9134 - -529. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, 3\/76, -17 in ascending order.\nAnswer: -17, -4, 3\/76, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622*t - 3144 = 616*t. What is the lowest common multiple of 20 and t?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u = -737*u + 4330 + 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0002 and -1003.\nAnswer: -1003.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 5847477.\nAnswer: 1169495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 678303209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24256 to three dps.\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -3*q. Suppose 5*m = -q*b + 34, -2*b - 10 = -2*m - 0. Let d(n) = n - 4. Let c(p) = -2*p + 9. What is m*c(k) + 13*d(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 7) in base 2?\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Let y = -2 + m. Suppose 0 = -3*b + y*b - 20. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*o**3 - 25*o**3 - 2*o**4 + 25*o**2 - 7*o**2 + o**4 - 3 to the form m*o**2 + g*o**3 + z*o + q + c*o**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijyj. Give prob of sequence jiy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 3*k - 2*k**2 + 2*k**2 + 5. Let g(p) = -5*p - 18. Let f be g(-4). Let d be n(f). Which is the closest to -1? (a) 0.1 (b) d (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 27*u**2 - 16*u - 66. Let q be p(-7). Is 0.1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18373?\nAnswer: 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53901973, 107803948, 161705923, 215607898, 269509873, 323411848?\nAnswer: 377313823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 take away -52?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*i + 15, -2*p + 2*i + 6 = -2*i. Suppose -p*j + 44 = j. What is the lowest common multiple of j and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/6 (c) -669\/5 (d) 39\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3 + 3)*(467 + 640 + 743).\nAnswer: 3700*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 19.880879.\nAnswer: 5.9642637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 377*u**2. Let t(o) = 69 + 72 - 3*o**2 + 66 - 207. Determine l(t(h)).\nAnswer: 3393*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26088*i**3 - 40650*i**3 + 12213*i**3.\nAnswer: -54525*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is -65.827 rounded to one dp?\nAnswer: -65.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 0.3, 2.4 in ascending order.\nAnswer: -104, 0.3, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(108) + sqrt(108) + 1))**2 + 1 + sqrt(108) + -1 + (sqrt(108)*2*-6 + sqrt(108))**2*-2)*-6.\nAnswer: -3636*sqrt(3) + 91866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 614, 1140, 1812, 2630?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000462638 to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 11*x. What is the third derivative of v**5 + 4*v**5 + 538*v**3 - x*v**5 + 165*v**2 - 507*v**3 wrt v?\nAnswer: 120*v**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2160*j**2*r**3 + 160*j**2 - 5 wrt r.\nAnswer: 6480*j**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/3 - (2 + 1). Suppose -4*q = -3*z - y, 2*q - 2 = 2*z + 4. Are q and 5\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:38 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 1\/5*y**3 - 3\/5*y**2 + 3\/5*y - 1\/5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (92 - 133) - (-15 + (1 - (-3 - -2)))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + v - 2)*(0*v - 3*v + 6*v + (v + 0*v - 2*v)*(7 - 4 + 5)) + 2*v**2 + v**2 - 5*v**2 + (3*v + 2*v - 2*v)*(0*v + 0*v + v) as g*v + t*v**2 + u and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01965 (b) 0.1 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 5*d. Suppose -t + 5*n = -d, 2*n + n + 20 = 5*t. Suppose -4*s + 16 = t*a, 0 = -2*a + 6*a - 12. Solve i - s + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-89451270)\/(-180) + 10\/(-4) - 9. Round a to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**6\/72 + v**5\/4 - 15*v**4\/8 + 2*v**3 + 6*v. Let g(k) be the second derivative of s(k). Factor g(b).\nAnswer: -5*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47237\/31545 + -6\/701. Calculate the common denominator of o and -1\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*o - 67220 = 0, 0 = -19*a + 20*a + o - 16803. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -22*b + 64*b - 31*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/6, 4\/19, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41635 (base 7) in base 10?\nAnswer: 10267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 9*y**2 - 3*y + 6. Let v be m(6). Suppose 0 = g - 3*w + 46, 42*w - 45*w - 58 = g. Let d = g + v. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyeeegeeyyegeyyee. What is prob of picking 1 e, 1 y, and 1 g?\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 60\/2813 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**2 + 328*x + 87. Calculate l(42).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 3. Let p be s(-2). Let j(m) = -7*m - 5. Let l be j(p). Suppose l = 2*r + a + 10, -2*r = 4*a - 32. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -13*w**3\/6 + 205*w. Let r(u) = -6*u**2. Determine n(r(m)).\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 10. Let c = 10023 - 120203\/12. Find the common denominator of y\/(-8)*260\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252576, 1010338, 2273276, 4041390, 6314680, 9093146, 12376788?\n\"Answer: 252588*b**2 - 2*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8571494, 17142994, 25714494, 34285994, 42857494, 51428994?\nAnswer: 60000494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 3. Give h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:58 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 9*j**2 + 33*j - 193 + 28*j**4 - 20*j - 11*j - 30*j**4 + 195 to the form i*j**2 + y + p*j**4 + l*j + w*j**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2540497 - -0.2240497. Let f = -0.2 + -1.8. Let t = f + 4. Which is the smallest value? (a) z (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -32. Let w be 0\/(3*(-6)\/y). Which is the third smallest value? (a) -1 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21520 and 11417705?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + l + 11 - 66, 47 = 3*y + 5*l. Let q = 80 + -76. Suppose 3*g - 32 = -5*k, -4*g + 9*g - 115 = q*k. Is g at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1168495 divided by 1168495.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 21*b - 8. Let r(j) = -2*j + 1. Let z(q) = -2*a(q) - 22*r(q). Give z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-142)\/(0 + 2)*3. Let h = q + 646\/3. Is h <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 58 = -37*j. Solve 3*z - j*z - 6 = 3*k, 5*z - 14 = -k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z - 36 = 0. Let f(h) = -z - 1 + 3 + h - 6. Let o be f(25). Solve -o*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*a + 709784 = -13377*a + 394979 - 935787 for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - 4*z**4 + 5*z**4 + (-z + 2*z**2 + z)*(-3*z**2 + 3*z**2 - 2*z**2) + 2419 - 2419 - 139*z**4.\nAnswer: -142*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*706.37.\nAnswer: 12714.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 500?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -24. Suppose -315 = -f*d - 1339. Let x = 21 - d. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 2. Suppose w*c + 2*c = 0. Suppose v = h + 21, c = -3*v - 4*h + 5 + 23. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121 (base 3) to base 10.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*j + 550*j + 122645 = 1387*j - 53057 for j.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1110001001011000000100 (base 2) to base 14\nAnswer: 6c7672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -14 + 18 - 23 - -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681134 - -2702?\nAnswer: 1683836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -53. What is the second biggest value in 3, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 18 = 3*c. What is the third smallest value in -1\/7, -1\/9, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i + 60*i**2 + i**3 + 45*i**2 - 108*i**2 + 4 - 8 in the form m*i**3 + o*i**2 + f + t*i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5493, 4, -4, -6, 8, -1 in ascending order.\nAnswer: -5493, -6, -4, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 80 = -91. Do -162\/317 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3155976 divided by -13842.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**1\/k)\/k)*k)**47)**43)**(-9\/4) assuming k is positive.\nAnswer: k**(-54567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74026030 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19437 and 1672?\nAnswer: 155496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*k + 1, -5*h = -6*h - 3. Let y = -0.99 - 0.01. Let f = y + 0.7. What is the second biggest value in 2, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4182 and 1818.\nAnswer: 1267146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 1099 + 41*g**3 - 1103 + 8*g**2 + 3*g**2 - 12*g**2 to y*g**3 + j + u*g + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 912006 = -12*t - 2*o, 1367999 = 3*t - o. Let r be t\/8 + -2*5\/(-40). Round r to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {z: 1, g: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 + 1752860*h**3 + 1752864*h**2 = 0.\nAnswer: -1, 0, 438216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(-1 + sqrt(13)) - sqrt(13))*-6.\nAnswer: -30 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1075 - 1219 - b**2 - b**2 to the form y + s*b + f*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -3*4*sqrt(119))\/(sqrt(14)\/(sqrt(8)\/sqrt(4))).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(-7*i**5 + 53*i**5 + 18*i**5).\nAnswer: -320*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 9\/(-6))*8. Suppose 4*b = 0, s*p + 5*b + 2 - 14 = 0. Let d be 0\/(-3) - 12\/p. Sort -3, -2, d in ascending order.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 383. Let o(i) = -3025*i. What is g(o(z))?\nAnswer: -18150*z + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316768.4 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120883793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**4 + 27524*p**3 - 26*p**2 + 4401*p wrt p.\nAnswer: 96*p + 165144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30103286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/720 + a**5\/15 - a**4\/2 + 2*a. Let v(q) be the third derivative of n(q). Calculate v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69692 by 7.\nAnswer: 9956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*w - 60 = 16, 3*w + 33 = 3*q. Put -7, -2, q in descending order.\nAnswer: q, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:15 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(539)*-2 + 6*(-1 + sqrt(539)))*6)**2.\nAnswer: -10080*sqrt(11) + 311364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*s - 2*s + 4*s)*(2*s - 2*s - 3*s) in the form m*s + b*s**2 + i and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 - 2*l**2 + 1. Let v be q(-1). Let b be (0\/(1 - v))\/(-2). Suppose b = -2*n + 12 + 18. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.1 + 7.1. Let k = 371\/470 - -1\/94. Put 3\/2, b, k in increasing order.\nAnswer: b, k, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -147*d**5\/20 - d**4\/6 + 23*d**2 - 33*d - 4. Find the first derivative of z(o) wrt o.\nAnswer: -441*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321\/8 - 325\/8. Which is the second biggest value? (a) -6\/5 (b) 1 (c) -153 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 + 29*h**2\/2 - 51*h + 43. Let r be z(27). Solve r = -d - 0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14235 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-388)\/(-2))\/2*(-1)\/(-14) and 87\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-52900)\/34155*-27.\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330280 is divided by 7333.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 0.08. Let i = 12 - 13. Suppose -z + 2 = -1. What is the smallest value in z, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -19 + -2 + (-1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*k + 148031 = 355*k. Calculate the remainder when 676 is divided by k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -36306325.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 223. Let p = -50 - v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:37 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0, -1\/5548, 5, -0.5, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + s)*(3*s**3 + s**3 - 3*s**3) - 59 + 22 - 5848*s**4 + 37.\nAnswer: -5847*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/27)*m)\/m)**9\/((m*m\/(m**(-30)\/m)*m)\/m*m**(-31)) assuming m is positive.\nAnswer: m**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/307, 0.2, -4?\nAnswer: -1\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1510, 1511, 1512?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 greater than or equal to 1859\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 2*r + 4. Let y be (-3)\/7 + ((-126)\/(-49))\/6. Give q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 - 565*d**2 - 1150*d = 0.\nAnswer: -2, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/5 - 972*t**3\/5 - 194*t**2 = 0.\nAnswer: -485, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 2. Let x be m(1). Let r = x + 4. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19085 (base 10) to base 16.\nAnswer: -4a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1008) - -3*(2 + sqrt(1008)) - sqrt(1008) - (sqrt(1008) + (-3 + 0 + sqrt(1008) - sqrt(1008))))*4*-6 + -2)**2.\nAnswer: 999936*sqrt(7) + 9478084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 703*z**3 - 8*z + 8. Let n(v) = 124432*v**3 - 1414*v + 1414. Calculate 707*a(f) - 4*n(f).\nAnswer: -707*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -3 - 3)\/(-2). Suppose 16*y + 3102 - 7470 = h. What are the prime factors of y?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13631 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 107. What is the smallest common multiple of 27 and (18\/z)\/(18\/(-48))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128\/9 + -14. Put 2, s, 5\/3 in ascending order.\nAnswer: s, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24301, 48608, 72913, 97216, 121517, 145816, 170113?\nAnswer: 194408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 37 + 3*l - l**3)*(2 - 1257*l - 1061*l + 782*l) in the form p*l + r*l**3 + w*l**4 + y*l**2 + o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2\/2 + 11*d + 82. Determine n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 2, 1, 5 in ascending order.\nAnswer: 1, 2, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 take away 4.07578697149?\nAnswer: 212.92421302851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a072 (base 12) to base 10.\nAnswer: 38102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2145 - 3*s**3 + 2147 - 2*s - 4*s**2 - 5*s**2 to a + p*s**3 + c*s + u*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053991752 to six decimal places.\nAnswer: 0.005399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 774b5 - 42?\nAnswer: 77473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**9\/45360 + g**8\/10080 - g**6\/1080 - g**5\/360 + g**4\/8 - g**2. Let i(h) be the second derivative of l(h). Factor i(a).\nAnswer: (a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10985*z**3 - 17*z**4 + 7*z**2 - 10988*z**3 - 4*z**2 to the form v*z + f*z**2 + c*z**4 + a + o*z**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(220)\/sqrt(4)*2)\/sqrt(5) - (5 + sqrt(33)\/sqrt(3) + sqrt(99) + -2)))**2 + 0.\nAnswer: 32*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7108151?\nAnswer: 7108151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-40))\/(18\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 0. Suppose -2*p = -m*t, 2*t + 5*p = p + 12. Suppose -t*h - 2*c + 148 = 0, -3*h + 6*h = 4*c + 194. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -26, -15, 14, 67, 150?\n\"Answer: o**3 - 8*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 5:16 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4\/11))\/j)**(-4\/17) assuming j is positive.\nAnswer: j**(-16\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjimianijib. Give prob of picking 1 a and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 414387\/3466735 + -6\/4405. Let k = q - -10492141\/7870. Let g = 1330 - k. Find the common denominator of -21\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 + 8*y - 4\/3*y**3 + 55\/2*y**2. What is the units digit of o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*c**4 - 26*c**2 + 4*c.\nAnswer: 3144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-12) - 75\/(-18). What is the second derivative of 4*v**s + v - 6*v**4 + v - v wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2 - n**2 - 5*n + 4 - 3. Let a be x(-6). Let o be a\/(-5) - (-6)\/(-10). Solve -2*t - t + 12 = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 + -217. Suppose -3*h - 51 = f*b, -3*h = -7*h + 3*b - 85. Are h and -20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 8*u = -4*b + 16, 2*u - 8 = 2*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Suppose -2*u + 21 = z - v, 0 = -3*u - 2*z + 35. Solve -u = 4*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866777 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (7\/(-3) - 28\/42). What is the greatest common factor of 117 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37445147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 3*j**4\/4 - 3*j**2\/2 - 3. Find r such that o(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122 divided by 6.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*r = 486*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*w - 2592 = -744*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + 37053?\nAnswer: 37086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 4*v, 4*v - 7 = -2*p + 5*v. Suppose -6*q + p*q = -10. Solve 0 = -2*l + 4*m - m - q, 5*l + 16 = 3*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) - -3*sqrt(440)*2)\/(-5*(sqrt(10) + (sqrt(160) - sqrt(10)) + sqrt(10) - sqrt(10)))*-6)**2.\nAnswer: 4851\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95*(-21)\/(9450\/18)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31578290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/31 - -85\/248. Let b(k) = -4*k**2 + k + 26. Let i be b(13). Let z be (-175)\/i + (-15)\/35. What is the nearest to -2 in n, z, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-11*x + 11*x + 11*x).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 99.7.\nAnswer: -498.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - l. Let s be u(2). Let m(g) = -g - 8. Let q be m(-6). Let x be (s + q)*(-6)\/(-8). Solve -5*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/4 - 59\/((-2832)\/432). Let s be (-5)\/((-150)\/(-8))*-5. Determine d, given that 1\/3 + 1\/2*d**3 + t*d - s*d**2 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3421170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2*r + 1. Let q = 2 + 0. Let w be f(q). Suppose w = o - 3. Solve -5*b = o*p - 12, b = 4*p + 3*b - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1805.87 (b) -2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(23528\/663 - (2755\/247 - 11))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 - -2.5. Let l = 5 - b. Let w(y) = -4*y - 3. Let p be w(-2). Sort -1, l, p in increasing order.\nAnswer: -1, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 18080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 339 - 240 - 697 = 0. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - -2 - 7 - (-55 - -45))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1590.5 + 1590. What is the nearest to -35 in -4, 2\/3, l, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15047 + -14870. Let h(i) = -i**3 + i**2 + 118. Let k be h(0). What is the greatest common divisor of r and k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i - 36. What is z(10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 263 = -2*j, 2*m - 705 = -5*j - 0*m. Calculate the remainder when j is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 38053?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 11649?\nAnswer: 69894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -20*u**3 - 5*u**2 - 4*u - 2. What is the tens digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 34*x + 6. Let r(c) = -17*c - 3. Let q(v) = -2*f(v) - 5*r(v). Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9 - 2 + 0*f + 0*f + f. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487157843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let c(a) = -2*a - 3769. What is c(h(l))?\nAnswer: -2*l**2 - 3769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 20*m - 119. Let v be 3 - (0 + m\/5). Let j = 0.6 + -0.3. Which is the closest to v? (a) 5 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933272847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.251654 and 0.301.\nAnswer: 0.075747854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13975 + -13971. Solve c = 4*k + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 2*k**2 + 2*k**2)*(0 - 1 - 1 + 4 + 0 - 2 + (2 - 5 + 2)*(2 - 3 + 3) + 5 - 4 - 2 + 3 - 2 - 2 + 1 + 3 - 2 - 6 + 4 + 1 - 4 + 4 + 2).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17142664 divided by -374.\nAnswer: 45836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -259\/23 + 7\/115. Suppose -359*r + 352*r = 84. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -447, -1, 1 in decreasing order.\nAnswer: 1, -1, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(1\/6)))\/g)\/g**(-10)*g**(-10)*((g*g*(g**(-6)*g)\/g*g)\/g)\/g assuming g is positive.\nAnswer: g**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 467760 and 7584?\nAnswer: 73906080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 205*o + 396. What is l(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**3 + 7*s**2 + 9*s**3 + 2*s - 3 + 41*s**2 + 2*s**3 in the form c*s + u*s**2 + p + d*s**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2. Let z(x) = 2 - 5*x - 4 + 2. Determine q(z(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avx. What is prob of picking 2 a and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*-1.9.\nAnswer: 161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*u**4 + 14*u**4 - 17*u**4 + 61*u + u**3 wrt u.\nAnswer: 192*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.2 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 7. Let z(f) = f - 2. Let r(y) = 2*l(y) + 7*z(y). Let m be 9 + 12\/(-3) + 2. Let w(t) = -t + t + m*t - 4*t. Calculate r(w(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39303 - -1321420239.\nAnswer: 1321459542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 16) to base 3.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwpzzz. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qydth. Give prob of sequence qyt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:16 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -83 and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67019376 divided by 48.\nAnswer: 1396237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/5)\/((-292)\/2920).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 2*r - 9851 - 2*r + 9855.\nAnswer: -8*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*d**3*n**3 - 3*d**3*n**2*y + 178*d**3*n*y**3 - 214*d**2*n**3*y**3 - 3*n**3 - 7*n*y**3 wrt n?\nAnswer: 102*d**3 - 1284*d**2*y**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6, 65770 = 4*n + 9*q - 11*q. Let b(f) = -f + 16444 - n. Let d(s) = s - 1. Let o(v) = 35*v - 25. Let t(y) = -50*d(y) + 2*o(y). Give b(t(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 5*x = -2, -4*y = -3*x - 30. Let q = y + -7. Is -3\/4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2. Let h(k) = 6. Let v(y) = 27*y - 18. Let d(j) = -9*h(j) - 3*v(j). Give z(d(s)).\nAnswer: 32805*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 + 12*j + 4. Let m(l) = 4*l**2 + 4*l + 1. What is 3*k(s) - 8*m(s)?\nAnswer: s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + z - 3489994*z**2 + 2.\nAnswer: -3489994*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-2*115\/30)\/((-1)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/40 - (-3)\/(-15). Which is the nearest to -1\/3? (a) -4 (b) f (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u - 3. Let o be w(3). Let f = 373 + -372.8. Which is the closest to -1\/17? (a) -0.4 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 - 2*h**3)*(0 + 0 - 3*h**2) + 2*h**3 - 2*h**3 + 3*h**5 + (3*h**3 + 4*h**3 - 17*h**3)*(0 + h**2 + 0) + h**5 + 3*h**5 - 5*h**5.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t - 1. Let s(c) = 24*c**3 - 9931*c**2 + 8220364*c - 2739046. Let l(p) = 84*j(p) - 4*s(p). Factor l(y).\nAnswer: -4*(y - 1655)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-154)\/(-11) + 7*-1. Is ((-4377)\/(-3) - r) + -6 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/4 + 137 + -139. Let i(k) = -31 - 11*k**3 - 2 - 20*k**3. Let h(x) = 15*x**3 + 16. Let a(g) = p*h(g) - 2*i(g). What is the derivative of a(o) wrt o?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167 by -50.\nAnswer: 167\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235.4 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.18 rounded to 0 decimal places?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 6*r - 8. Let a be v(-6). Let k = 5 + a. Suppose 3*p = -p - c + 20, 0 = -4*p + 4*c. Put -1, k, p in ascending order.\nAnswer: k, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 157 + 173. Let s be ((-2)\/4)\/((-11)\/f). Suppose 15 = -n + 4*n, s*t - 3*n = 51. What is the greatest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = g + 4*g + 147, -3*o + g = -102. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 9*p - 4*v, 86 = -16835*p + 16828*p + 4*v for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(10\/(-3) - -5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 75 - 20 = 0. Let c = i - 16. Let y = 12 + c. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 20 = 5*z. Let y be 273\/(-6) - (-2)\/z. Let h = 179\/4 + y. Which is the closest to 1\/3? (a) -0.2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-44)\/(-6))\/((-16)\/(-72)) is divided by (-16 + (-4 - -2))*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/120 - s**4\/8 + s**3\/2 - s**2. Let j(u) be the first derivative of m(u). Calculate j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69395564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*j - 189*j - 9744 = 185*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 3050*r**2 + 1475600*r + 219108000.\nAnswer: 2*(r + 285)*(r + 620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50.7 - 4.7. Is -0.3 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*u + 5, -5*u - 2*h - 13 = -0*h. Let i be 6\/54*-3*u + 1. Solve 0 + 3\/2*q**3 + 9\/2*q**4 - 3*q**i + 0*q = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2722178, -2722197, -2722232, -2722289, -2722374?\n\"Answer: -f**3 - 2*f**2 - 6*f - 2722169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3945280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39386, 78767, 118148, 157529?\nAnswer: 196910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + k - 95133, 43463 = 4*b + 4*k - 51649. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2 - 11084308*c - 11084318.\nAnswer: 2*(c + 1)*(5*c - 5542159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2559, 5, 0, -7 in descending order.\nAnswer: 2559, 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 623\/4 in -2\/13, -1, -181?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a**2 - 5*a - 120*a + 14*a**2 - a**3 to the form p + y*a**3 + v*a + t*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -58*s. Let r(k) = -66285*k**2. Calculate w(r(i)).\nAnswer: 3844530*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = a. Let x = -4 - -3. Let z be (48\/(-120))\/((-6)\/5)*-2. What is the nearest to x in -2\/21, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 343*k - 668. Calculate r(3).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208)*1 - 6*(sqrt(208) + -1))**2 + (-1 + sqrt(1053)*2 + 4)**2)*-3.\nAnswer: -28311 + 156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -1712 (c) 4 (d) 3 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*3\/6*-3. Suppose 2*k - 36 = -5*h, 5 = k - t*h - h. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95818 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/6*l**3 + 0 + 0*l + 1\/120*l**5 - 2*l**2 + 1\/48*l**4. Factor z(g).\nAnswer: (g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/l*l**2)\/(l*l**(-1\/7)*l)**7 assuming l is positive.\nAnswer: l**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*n - 5*n = -5, 0 = -n + 5. Let i be (-11)\/(-10) + 3\/t*1. Find z, given that -z + i*z**2 + 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31687, 63358, 95029, 126700?\n\"Answer: 31671*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -841 + 3013. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/2 - 865*g**4\/48 - 685*g**3\/4 - 5625*g**2\/8 + 96*g + 42. Factor d(z).\nAnswer: -5*(z + 3)**2*(8*z + 125)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120.99 + -121. Let w be (2\/24)\/(33\/6 - 6). Which is the second smallest value? (a) 2 (b) w (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 11*w**2 + 10*w - 22. Suppose -51 = -14*x + 18*x + 3*s, 0 = -5*x + 2*s - 58. Determine z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -36, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -123, -240, -465, -834?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:30 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 1. Suppose 18*d = 16*d + 4. Let u be q(d). Let j be ((-4)\/(-2) - 5305) + u. What is j rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 6*f + 2*f)*(-9 + 6 - 22)*(-9 + 9 - 2*f) - 5*f**2 + 2*f**2 - 2*f**2 + 0*f**2 - 4*f**2 + 2*f**2.\nAnswer: -107*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 10. Give p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-48))\/(4*5\/90). Let o = -629 + 629.5. What is the nearest to -3 in 1, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y = 336. Suppose -4*t - y = -8*t. Suppose -u + 6*u = 2*j - t, -u + 15 = 2*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(3\/22)*b\/(b*b*b**(-3))*b**(5\/4)*((b*b**(-2\/5))**(-49))**(-2\/7) assuming b is positive.\nAnswer: b**(7669\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 4. Let j(v) = v**2 - 1. Let o(u) = 4*j(u) + x(u). Let z(l) be the third derivative of l**4\/12 - l**3\/3 + 2*l**2 + 134*l. Give o(z(w)).\nAnswer: 8*w**2 - 16*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -603 in ascending order.\nAnswer: -603, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.4 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(-10)*58\/14964*43?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 5:42 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -504 in 0.018, -0.9, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*2\/24)\/(-11) - (-297)\/3993?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by (-536)\/(-10) - 14\/(-4)*(-8)\/(-70).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933127*b - 65*b**2 - 22*b**2 + 323*b**2 - 933127*b.\nAnswer: 236*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 325*r - 27067. What is h(83)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -30. Let x be 0\/(-1) - -2 - 2. Sort -3, x, b in increasing order.\nAnswer: -3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -12, 3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(29\/2))\/(12\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 98006 = -74127. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1244 + 636 = 2*g, -3*g = 2*v + 1905. Let c = v + 961. Calculate the smallest common multiple of 76 and c.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 - 9 = 0. Suppose -r + 0 + a = 0. Solve -f + r*f = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6801444 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.2 (c) -10 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1846455*w\/8 - 230807\/8.\nAnswer: (w + 230807)*(8*w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h - 764 - 1532. Let l = h + -84. Sort -4, l, -11 in decreasing order.\nAnswer: l, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 1. Suppose -2*t - 4*c = -8, 2*c = 2*t - t - 20. Let n be 1\/(-2)*2 + -37. Let b be n\/(-8) - (-3)\/t. Calculate g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01779 and 6101.\nAnswer: 6101.01779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182 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: What is the third derivative of w**3 + 56*w**2 + 28 + 4*w**2 - 28 + 6*w**5 wrt w?\nAnswer: 360*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 83. Suppose 5 = -f*v, -d + 4*v + 6 - 1 = 0. Do -0.054 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*n - 7*n + 678*n - 263*n + 642*n to q*n + l and give q.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. Suppose -3*m - p*m = -1736. What are the prime factors of m?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d - 5*p = 19954, 0 = 5*d - 2*p - 49843. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Suppose 0 = 2*b - 3*l, 7*b - 3*b - 4*l + i = 0. Let f = 25 + b. What is the lowest common multiple of f and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1821696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -2 + (10 - -115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 12. Let m be l(-5). Sort m, 1, -2 in descending order.\nAnswer: 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6818020\/7, 7, 0, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22725781 rounded to the nearest 10000?\nAnswer: 22730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1098 and -0.6.\nAnswer: -0.06588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059*l**2 - 2265*l**2 - 371*l**3 + 1206*l**2.\nAnswer: -371*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-27)*d*(d\/(d*d**(-8)))\/d*d*d*d*d assuming d is positive.\nAnswer: d**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8477 + 8482. Solve -r*l = -3*z - 12 + 3, 6 = -2*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 3 = 5*d - l, 0 = -4*d - 3*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057953048 to 7 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -43*v + 59*v + 2*v**2 - 40*v + 70. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/25194 and 22\/3315.\nAnswer: 125970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - 5*r - 3. Let a be i(4). Let m(u) = -1287*u - 9. Let z be m(a). Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y - 18*y + 28*y. Let a(z) = -5*z. Determine h(a(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 21000*o - 356133.\nAnswer: -3*(o + 17)*(o + 6983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(420) + sqrt(420)*-2 + sqrt(420) + sqrt(420))*5)\/sqrt(12))\/(1*((sqrt(252)*2 - sqrt(252)) + sqrt(252)) - -1*sqrt(252)*2).\nAnswer: 5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 + 3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -15*k + 339. Determine a(40).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and 0.16828.\nAnswer: -20.36188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -9. Let o = 3 + l. Sort -4, -5, o in decreasing order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0339736 micrometers to nanometers.\nAnswer: 33.9736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 7*v - 6*v)*(-143 + 143 + 18*v).\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88813 + 88816. Let f be 50\/6 + 2\/(-6). Let w be (-6)\/15 - f\/30. What is the third smallest value in 1, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -5. Let j = -273.47 - -0.07. Let n = j - -273. Which is the closest to -1? (a) f (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q - 1. Let u(c) = -2*c**2 - 12*c - 2. Let o(f) = 2*u(f) - 5*z(f). Let i be o(-6). Is i\/(-4) - (-884)\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.034643nm?\nAnswer: 0.0000004034643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(343))*-1 - (sqrt(343)*1 + 3))**2.\nAnswer: 112*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03659, 0.3, -2, -1\/17, 3\/4, 0.1, -0.1?\nAnswer: 0.03659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65588 and 29342.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(10\/(-8)) - -6. Suppose g = 3*g - l. Suppose g*n + 0*m - 28 = 4*m, 1 = -n + 3*m. Calculate the highest common divisor of n and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/6 + 37*o**3\/6 + 29*o**2\/2 - 37*o. What are the prime factors of d(-21)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 421554421 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) - (-116)\/(-336)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.5. Let z = 4 - 7. Which is the closest to -0.1? (a) p (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 844, 1281, 1720, 2161, 2604, 3049?\nAnswer: 3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/2 - 14*q**3\/3 + q**2 - 16. Calculate the remainder when 55 is divided by h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6, 2.158, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(660\/121) + 2\/8. Solve 2*t - 2*n - 19 = -t, 0 = -v*t - 3*n - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z. Let y = -67 - -71. Let x(v) = -v. Determine y*x(k) - r(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {s: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1 (c) -0.1 (d) -3 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3064*r - 2352*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17468500 divided by -1085.\nAnswer: -16100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2434565 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-1 - sqrt(85))*5 + -2*sqrt(85)*-1)\/(sqrt(5)*2*5*-1).\nAnswer: -7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13163*a - 14*a**2 + 4390*a + 4377*a + 4395*a.\nAnswer: -14*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*i**2 + i - 2*i**5 + 77*i**2 + 3*i**5 + 0*i**5 - 4*i**5 + (-3*i**4 + 4*i**4 - 3*i**4)*(-i + 5 - 5) + 4*i - 4*i - 2*i**5 - 2*i**5 + 3*i**5 + i**5.\nAnswer: -i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + -410. Let n = l + 463. Calculate the least common multiple of 15 and n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 121442389*i\/3 + 242884774\/3.\nAnswer: (i - 121442387)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 88. Let a = k - 4. Calculate the remainder when (2\/(-2) - -70) + -2 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - 6*q + 7. Let n be c(-7). Let d be -1 - (-1 + 0)*0. Let t = n - d. Calculate the remainder when 2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-3 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 203 + 4?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from {r: 1, b: 1, e: 1, f: 3, o: 7}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((2 + (sqrt(1100) - (sqrt(1100) + 0)))*2 - 5*(1 + sqrt(1100))*-2))*5)**2 + -3.\nAnswer: 90000*sqrt(11) + 2758097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14683*a - 1365519. Let z(b) = 31. What is -n(p) - 44049*z(p)?\nAnswer: 14683*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2737\/(-828) - -4) + (-4)\/9. Which is the nearest to 0.8? (a) -0.1 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 3177*w + 6354*w - 3177*w - w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 + 6. Suppose -5*q = -4*o - 26, 0*q - 9 = -q - 3*o. Let s(p) = -2*p - p**2 + 1 + 2*p + 0. Determine q*s(b) - u(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-5\/7)*r)\/r)\/r**14*(r*r**(-2\/47))\/(r*(r*r**24*r)\/r) assuming r is positive.\nAnswer: r**(-12751\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.094072 centimeters to meters.\nAnswer: 0.03094072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(-2)*((-220)\/(-77))\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.645 minus 63364887.121?\nAnswer: -63364889.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.26 - 0.26. Let c = 17.07 - v. Let t = 0.15 - c. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21 - 4 = 0. Let t be (6\/b)\/((-12)\/40). What is the tens digit of (-204)\/8*t\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34976, -69944, -104886, -139790, -174644, -209436?\n\"Answer: 2*a**3 + a**2 - 34985*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*f - 26*f + 20966 + 38244 = 687*f for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r. Suppose 0 = 4*h - 2*h + 26. Let i = h - -14. Let x(c) = 2*c**2 - 3*c - 2. Give i*x(n) + 3*z(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 2 = -17*t. Sort 11, t, -4 in ascending order.\nAnswer: -4, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 129*h + 2690. Determine b(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04334 and 9010?\nAnswer: -390.4934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302 - -240612.\nAnswer: 240310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 11*u**2 - 17*u - 11. Let h be a(9). Let d(t) = -t**3 + 3*t**2 + 3*t. Determine d(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c6c3 - -91?\nAnswer: 2c784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.328 + -1.128. What is the closest to -1 in -2.3, c, 5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21533 and 21577 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014354 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, 1, 1531?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -42 + 11*r - r**3 + 17 + 35 + 62*r**2 - 71*r**2. Calculate q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, s: 3, y: 3, a: 4, b: 2}. What is prob of picking 2 b, 1 y, and 1 r?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/75 + 7\/25. Suppose 0 = -6*s + 9*s + 12, s - 6 = -5*z. Let w = -0.8 + 0.5. Which is the fourth smallest value? (a) -0.4 (b) z (c) w (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 612624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**3 - 595*x**2 - 210*x + 400.\nAnswer: 5*(x - 40)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*0\/20 - (-11)\/275.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h - 1. Let p(z) = -16*z + 1. Determine 6*f(m) + 7*p(m).\nAnswer: -16*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 + 23?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -216*k - 94. Let p(f) = 302*f + 141. Let h(d) = -7*m(d) - 5*p(d). Let j(u) = u - 23. Determine -6*h(q) + 13*j(q).\nAnswer: q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 16*h + 65. Let w be o(-4). What is the greatest common divisor of w and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3082771992 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 14*m - 1. Let t be o(0). Let f(j) = -29*j - 7. Calculate f(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z - 9. Let f be s(-6). Suppose v = 4*v - f. Let u(b) = b**2 - 6*b - 15. What is the remainder when u(9) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1825, 7347, 16563, 29473, 46077?\n\"Answer: 1847*z**2 - 19*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0629764 + -78.6.\nAnswer: -78.5370236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.1 (b) 4 (c) -19.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2, 0 = -5*w + 4*b + 28 + 109. Is 20 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6772, 27187, 61212, 108847, 170092, 244947?\nAnswer: 333412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (5 - (-12 + 9 + -7)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206 + -1?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) + 21\/18. Suppose -2694*b = -2593*b + 202. Let n = 0.35 - -0.15. Put b, n, q in decreasing order.\nAnswer: q, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359569053 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzuzuzzmzmzzzzzuz. Give prob of sequence mu.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 - 1 = 0. What is the remainder when 32 is divided by 1*(-3)\/u*-11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {b: 7, f: 3, x: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1704)\/(-70) + 354\/413 + (-1)\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:53 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 13*u - 25 = 0. Find the second derivative of u*j**5 + 0*j + 4*j + 10*j**5 + 4*j wrt j.\nAnswer: 700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687*o - 349*o + 73056 = 346*o. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 10*t + 2. Let i be x(5). Let a(g) = -g**3 - g**2 + 2*g - 1. Calculate a(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 7270?\nAnswer: 159940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Calculate t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.8 times 2?\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37.1. Let u = -1366\/19 - -72. Let q = -0.7 - -1. Which is the nearest to o? (a) u (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 6. Let c = 2 + y. Solve -4*f + 3*f = c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 35 - 13. Suppose -3*o - t = -m, -3*o = -5*t - 39 + 5. Solve -2*c - 17 = 5*k - 0*c, o = -4*k + 4*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p - 5*p**5 + 6*p**5 - 6*p**5 wrt p.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-5)\/(127 + -2))\/(8\/860)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -801, -957, -1379, -2199, -3549?\n\"Answer: -22*o**3 - o**2 + o - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4973 is divided by 663.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-1568)\/(-544)) - (-12)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (22 - (0 + 51)) - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + (1 - -1). Suppose 0 = -i*f - 3*f + 4*k - 206, -332 = 5*f - k. Let o be -3*(4\/f)\/(-1). Sort 4\/3, 1\/4, o.\nAnswer: o, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, 2\/13, -4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4032*k - 6 + 6.\nAnswer: -4032*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 g when four letters picked without replacement from {g: 6, y: 9, j: 4}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*w - 57*w + 4*w)*(-2*w + 4*w - w)*(4 - 6 - 4).\nAnswer: 858*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + (0 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*v - 44513*v - 13*v**2 + 14*v**2.\nAnswer: v**2 - 44740*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 19*c**2 + c - 17. Is g(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)*-3 + sqrt(100))\/sqrt(5))\/(-1*(sqrt(10) - 2*sqrt(10))) + -6*(5 + 4 + 1*sqrt(32)))**2.\nAnswer: 2808*sqrt(2) + 4268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143200168?\nAnswer: 2, 17900021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 474.5893 decades?\nAnswer: 47.45893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -40. Find the third derivative of 10*b**2 - 10*b**4 - 16*b**2 - 6*b**v wrt b.\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638386 and 186?\nAnswer: 59369898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 19*x**2 - 6*x + 13. Let a(w) = -54*w**2 + 17*w - 37. Let i(d) = -6*a(d) - 17*f(d). Let r(m) = 6. Give 6*i(t) - r(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 2*k**2 + k + 1. Suppose -6*u + 3*u + 6 = 0. Let m be r(u). What is the common denominator of -103\/22 and 14\/m*70\/(-16)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = k + 4*w, -55*k = -59*k - 3*w - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*o - 508. Suppose 9*d - o = 19. What is the highest common divisor of d and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 5*i - 2, 3*c + 308 - 302 = 2*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-8 - (-63)\/54*4). Which is the nearest to r? (a) 1 (b) 0.7 (c) 14\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2 - 4. Let f = 3 - k. Let y be (-2)\/(-22)*(1 + 1). Which is the second biggest value? (a) 2\/5 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -11a541?\nAnswer: -11a53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/62 + -2797\/310. Let k = 2\/12307 + -996883\/98456. What is the common denominator of k and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0 (b) 4\/41 (c) -1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7393442 or 1?\nAnswer: -1\/7393442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + ((-60)\/18)\/((-6)\/(-9)). Let t(z) = 16*z**2 - 6*z - 13. Let f(a) = 5*a**2 - 2*a - 4. What is p*f(v) + 2*t(v)?\nAnswer: -3*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3944 and -127\/360.\nAnswer: 177480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 18*y - 42135. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v**2 + 16*v - 8. Let a(y) = 4*y**2 - 6*y + 3. Let g(p) = -8*a(p) - 3*f(p). Let z(b) = 22*b**2. Determine z(g(i)).\nAnswer: 352*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s + 3. Let c be q(5). Let i = c - -7. Let f(h) = 1 + i - 3 - 2*h - 2. Determine f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 4 + 234*h**2 - 458*h**2 + 225*h**2 + 2*h. Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*75\/50.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12842956.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 87. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00401895 rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -1\/3, -1, 507.\nAnswer: -1, -1\/3, -0.3, 5, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -152035 not equal to 285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-8) - (-2)\/8. Suppose -4*u + 2*a = -40, m*u - 23 = 5*a - 3. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 1. Let r(m) = -2*m. Suppose 5 = -4*c - 7. Let w(x) = c*n(x) - 7*r(x). Give w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 7:09 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 26 = -2*j - 2*y, -3*j = 4*y + 60. Let i be (0 - 14\/j) + (-2)\/4. What is the biggest value in -3, -2\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 50 - 22 = 0. What is the greatest common factor of 192 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653360 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7))**(-21\/5))**(-15\/4))**32 assuming f is positive.\nAnswer: f**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 4:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 13*s**2 + 13. Let m be l(15). Let u = m - -1114. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 10107532764447*n**3 + 10107532764448*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 81706805 and -593.\nAnswer: 81706212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17*k = 58551 + 42474. What are the prime factors of k?\nAnswer: 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 7)\/((-2)\/(-2)). Suppose i = c + 4, c + 337 = 3*k - 0*c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(700) + 3.\nAnswer: 3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1321473)\/139*(-2 - 10\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122570073 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34086 divided by 6.\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.096 (c) -10 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185629005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -54*t + 27*t + 28*t. Let c(x) = 63*x - 30*x**2 + 19*x**2 + 13*x**2 + 67*x. Calculate c(a(b)).\nAnswer: 2*b**2 + 130*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (10\/8)\/(13\/312) and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-8745)\/66)*14\/(-21)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 - 7*x - 4 + 3 + 6*x**2 - 15*x**2. Give y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10712401700 to the nearest 1000000.\nAnswer: -10712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 355. Calculate c(-89).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -820396.\nAnswer: -1\/820396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 4*n**3 + 10*n**3 + (-4*n**2 + 2*n**2 + 0*n**2)*(n + 0 + 0))*(3 - 2 - 3).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(36)\/sqrt(3) + -4*sqrt(48))\/((sqrt(324) + -2*sqrt(324) + sqrt(324) + sqrt(324))\/sqrt(6)))**2 + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*z**2 - 2 - 54 + 30*z**2 wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17 + 13*u - 4*u - 7*u. Let b be q(9). Which is smaller: b or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 74974135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373084?\nAnswer: 2, 19, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 40*r + 10 = o, -11*o = 4*r + 42 - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.07375\nAnswer: 0.107375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Suppose l + 3*a = a + 3, -5*a = 2*l - 9. Suppose 0 - 3 = 3*f. Let u(w) = 1. Let n(c) = -c**2 - 3. Let m(o) = f*n(o) + l*u(o). Determine m(q(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 - 392*c**3 - 169*c**2 + c - 592202?\nAnswer: 4*c**3 - 1176*c**2 - 338*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -2, 14, 30, 46, 62?\n\"Answer: 16*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2. Let a(k) = 2*k. Let o(d) = -15*d. Suppose 0 = 16*r + 555 - 155. Let g(i) = r*a(i) - 3*o(i). Determine g(j(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + 5*r**2 + 14*r + 4. Let f(z) = 2*z**3 - 3*z**2 - 9*z - 3. Let l(p) = -7*f(p) - 5*y(p). What is l(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 270*y - 454. Is a(74) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2895 is divided by 262?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19*j - 243. Let a(g) = -4*g. Give a(p(m)).\nAnswer: -76*m + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/360 + d**5\/60 + d**3\/3 - 3*d**2. Let p(c) be the first derivative of s(c). Factor p(g).\nAnswer: -g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236359*a + 52 = 2*d + 236361*a, d - 10 = -9*a for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 7*r + 2*w, 5*w + 18 = 4*r. Suppose 8*x - 43 = -t + 3*x, 2*x - 46 = -r*t. What is the remainder when 70 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p - p)*(4 - 3 + 2) + 18*p - 8*p + 2 - 8*p - 2*p + 7*p - p in the form h*p + q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1377) + -2 + -3 + sqrt(1377).\nAnswer: -4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 6 + ((-18)\/42 - 978\/266). Let p be 1 + -3 + (4 - -3). Which is the second biggest value? (a) -0.4 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/12 - 10*l**4 + 235*l**3\/6 + 63*l**2. Solve n(u) = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*(-30)\/(-12))*1\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - 6*(sqrt(70) + sqrt(70)*2 - sqrt(70))))\/sqrt(10) + 3*(sqrt(7) + (sqrt(7) - (sqrt(56)\/sqrt(2) + sqrt(7)))).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56454470701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 2, -16, 0, -3, 222 in increasing order.\nAnswer: -41, -16, -3, 0, 2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 + -6503\/11. Which is the nearest to 1.2? (a) -2\/23 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 plus -1.2?\nAnswer: 256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) -0.1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16430 + 16434. What is the closest to 0 in 1\/16, -1\/2, v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11*n - 24 = 0. Solve n*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.556 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2. Let y(v) = 13*v - 3. Determine y(l(k)).\nAnswer: 78*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10291\/3 + 3431. Let o(h) be the second derivative of g*h**3 - 15*h - 3*h**2 + 0. Determine o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2614 and -85?\nAnswer: -222190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 5*j + 7, 0 = 5*k + 1743*j - 1741*j - 55 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*s**2 - 86931085*j*s - 190124284*j wrt s.\nAnswer: -6*j*s - 86931085*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 829 + -245. Does 38 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1002?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*(838301 + 6508*r + 4295*r - 838301).\nAnswer: 21606*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 165\/396 - (-469)\/804. Let w be (-10)\/21 - 1\/(-3). Which is the fourth smallest value? (a) q (b) 2 (c) -7 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (15 + -10)) + 2 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d07a + -6?\nAnswer: 10d074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h - 4. Let x be n(-5). Let c = 9 + -4. Suppose -180 - 118 = -2*t - c*u, 3*t - 424 = 4*u. What is the greatest common divisor of t and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17683131*g**3 + 39218*g**2 - 50 wrt g?\nAnswer: -106098786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1150024 (base 6) to base 16\nAnswer: ee00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68 - 1368*w + 782 + 686 + 154 wrt w?\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 5*q. Suppose 4*m - j - 2*j = 18, 4*j - 1 = -3*m. Suppose -22 = 5*x - 4*c + 6, -m*x + 3*c - 18 = 0. Determine z(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/15 and -76\/394869.\nAnswer: 1974345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 845, 832, 821, 806, 781?\n\"Answer: -c**3 + 7*c**2 - 27*c + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/26 + (4 - (-15)\/(-13)). Let t be 92\/x*399\/76. Let g(z) = 3*z - 22. Let h be g(15). Calculate the highest common factor of h and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027, 8158, 18383, 32708, 51139, 73682?\nAnswer: 100343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-72)\/(-48)*((-241)\/(-3) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 35, 71, 143, 263, 443, 695?\n\"Answer: 2*c**3 - 2*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/60*6)\/(((-31)\/8)\/((-35)\/84))\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -16. Suppose 7*z = h*z + 81. Suppose 80 - z = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-10)*-4 + 0)\/(-1). Suppose -q*s = -236 + 54. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y + 7. Let u be x(9). Let w = 62 - 20. Let s = u - w. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101100011010 - -101?\nAnswer: 1100101100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388457.1 microseconds to hours.\nAnswer: 0.00010790475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 10*q + 3. Let c = 4 + 6. Let n be z(c). Suppose -3*h + 210 - n = 0. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 6 - 12 = 4*n, 16 = -2*m - 3*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40043 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*g + 8*w + 5, 4*g + w - 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -7, -0.1, 1\/6, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 140 = -3*o - 3*b, 3*b - 85 = 2*o. Let y = -16 - o. What is the greatest common factor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (-44163)\/(-11) + (-4)\/(-22)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5)*14\/14 + (0 - -6 - -54)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 62*m**2 - 16*m**2)*(-3*m**3 + 12*m**2 - 12*m**2).\nAnswer: -138*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-14) - (-2)\/4. Suppose 40 = 2*b - 3*v, 0*b + 2*b + 3*v = 28. Suppose -2*j = 3*j - 5*h - 5, -5*j = -h - b. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-6)\/20)*1. Suppose 5*h - q - 15 = 0. Suppose -4*s + 3*s = -h. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = -h. Suppose 9*o - 4*o = 2*m - h, 2*o = -5*m - 3. Let q be (-2 - -1 - -8) + m. Solve -4*b = -2*b - q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33965077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -402310?\nAnswer: -402313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -5809.9\nAnswer: -5810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 10. Suppose 33*q = 32*q + 14. What is the remainder when q is divided by m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-1)\/(-2))\/2. Let q be (r\/1)\/((-3)\/3). Suppose 5*a + q - 18 = 4*b, 0 = -a - 2*b - 2. Calculate the smallest common multiple of 3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 - 8*x**2 - 10*x**2)*(2*x + 1 - 1) + (x**3 - 3*x**3 + 4*x**3)*(1 + 2 - 2) to o*x**2 + d + s*x + b*x**3 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -26. Let q = -12.5 + 7. Let w = q - k. What is w rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/14 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2554, -2549, -2544?\n\"Answer: 5*l - 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -36. Let a = r + -5. Calculate the remainder when 9 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054530?\nAnswer: 2, 3, 5, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 19) + -13 - -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50881 and 67014?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 168 = -4*r. Let v be 66\/r + (-2)\/4. Let j = 0.04 - -1.96. What is the closest to j in 0.1, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 0 = -0. Suppose 3*i - 5*i = 4. Put g, i, 5 in ascending order.\nAnswer: i, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 4231*z**4\/6 - 5*z**3\/2 - 57*z**2\/2 + 134*z - 3. What is the second derivative of s(h) wrt h?\nAnswer: 16924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/1260 + l**6\/180 + l**5\/20 + 4*l**2. Let m(d) be the third derivative of p(d). What is m(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -45.4. Let w = 13.2 - 15. Which is the third biggest value? (a) 0.1 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 - 10*o**2 - o - 48. Let c be k(6). Suppose -c = 43*f - 58*f. What is the remainder when 85 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.256 minus -2462.0212?\nAnswer: 2461.7652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/14*(-48)\/96.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1907472 and 882?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y + 2. Let z be l(-2). Let t = -2122\/3 - -16721\/24. Calculate the common denominator of t and ((-10)\/(-36))\/(z\/204).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3625 + 7187. What is the greatest common factor of 234 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + w**2 - 10*w**3 + 214*w - 212*w + 3*w**2 to the form j + h*w**2 + k*w**3 + x*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223464824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 3*t - 11, -4*t - 6 = 7*l - 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-3 + -87))*(-34)\/(-2).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 15*k + 56. Let b be l(20). Suppose 14*p - 800 = -b. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpjetew. What is prob of picking 1 p and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2\/((-4)\/6). Suppose 2*z = 2*h - 0*z - 140, -l*z = 3*h - 186. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3224165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 552343093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1592*o - 135015 = -1595*o, -w - o = 26995. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823412001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 + 68 - 68.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**3 - 362*t**2 - 32. Let w(b) = -33*b**2. Determine -2*v(o) + 22*w(o).\nAnswer: -22*o**3 - 2*o**2 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 4:56 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -173120302 - -7805?\nAnswer: -173112497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + 0.09. Let c = h + -0.16. Let l = -72 - -77. Put l, 4, c in descending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.666008l to millilitres.\nAnswer: 7666.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*s - 3*s. Solve 5*z = -4*n + 23, -2*n - 11 = -s*z - 3*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let g(j) = -137 + 2*j + 9*j + 126 - 10*j. Give 2*g(h) + 22*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -30, -48, -66, -84?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 549\/183 + (2 - 4) + 48. Solve -210 = k*o - 14*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100883407123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2690226 is divided by 384318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -126, -2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 greater than or equal to 632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 + 144*t + 49. Give y(-9).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 260499*h**3 + 19*h + 259935*h**3.\nAnswer: -564*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2499, -11, 2, 1, 8 in increasing order.\nAnswer: -11, 1, 2, 8, 2499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1501654 (base 9) to base 14\nAnswer: 177a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -22*t**3\/3 + 157*t**2\/2 - 210*t. Is g(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let x = -56.8 - -57.6. What is the second smallest value in q, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -41*p**2 + 20*p + 6. Let f(m) = 14*m**2 - 7*m - 2. What is 17*f(v) + 6*i(v)?\nAnswer: -8*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15424919?\nAnswer: 613, 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -4*a + 5*l - 80, 5*a = 4*l - 346. Is 0 - 0 - (a + 15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159988 divided by -4.\nAnswer: -39997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -18bd2d?\nAnswer: 18bd31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1070935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 701618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.7 and 0.3.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 41*b + 1901. Let y be c(-35). Sort 3, y, 2, -2 in ascending order.\nAnswer: -2, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 193*o + 1631. Calculate i(37).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 29. Let u(p) = -23. Calculate -2*t(v) - 10*u(v).\nAnswer: 2*v + 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/84*-7)\/((-34)\/1).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -42?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/21)\/w*w**(-20)*w*w assuming w is positive.\nAnswer: w**(-397\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1314 (base 11) to base 12.\nAnswer: ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let m(p) = 4*p - 7. Let b(i) = 2*c(i) + m(i). Let j be b(6). Suppose 21 = j*h - 4. What is the greatest common factor of 15 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 17. Let u = 0.5 + -0.9. Let g be 15*6\/18 + -3. Which is the nearest to -13? (a) z (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 - 187 - (-1 + 15 + -2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/4 - 2\/(-8). Let o(t) = -2*t**2 - 39*t + 182. Let d be o(-20). Suppose f + n*f - d = 0. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 - 4*a - 4. Let b be q(-4). Solve -b - 4 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5114051 kilograms?\nAnswer: 511405.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.7881 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -15*v - 13. Find the second derivative of 10*u - 2*u**2 - 2*u + 69*u**3 + u**v - 2 - 4*u wrt u.\nAnswer: 414*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 306 = -9*j - 724 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 0, 0*v + r - 813 = -5*v. Let f = v + -2432\/15. Sort 2\/5, f, -3\/5.\nAnswer: -3\/5, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1183135*w - 4. Let g(r) = r. Calculate g(j(c)).\nAnswer: 1183135*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34371 = -901*x - 145*x - 3497 - 14432 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1551 + 1569. Let x be 4 - 8 - (2 + 0). Let u be 15 + x\/2 + 2. Solve 2*q = -q - 5*p + u, 3*q = 3*p - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 3\/8, 5, 1\/5, -13 in decreasing order.\nAnswer: 120, 5, 3\/8, 1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3976 by -12.\nAnswer: 994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -51.6. Let v = -0.35 + 0.05. Which is the second smallest value? (a) 4 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402b71 (base 14) to base 11.\nAnswer: 1245133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*g - 6, 21*z - 19*z = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7383171?\nAnswer: 3, 181, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33 and 0.553742427.\nAnswer: -32.446257573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 73. What is s(17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbod when four letters picked without replacement from {k: 2, o: 1, d: 3, b: 3, w: 5, g: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-4) - 5)\/(0 + -2). Let i = 11 - 10.93. Let t = 0.4 - 0.3. Which is the second smallest value? (a) i (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -171, -148, -115, -72?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 2574*m + 12920.\nAnswer: -2*(m - 5)*(m + 1292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - f = -984, -996 = 4*d - 7*d - 5*f. Suppose -323*h = -d*h + 34460. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -328, -1108, -2420, -4264, -6640?\n\"Answer: -266*w**2 + 18*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2))\/j*j*j\/(j*j**0*j))\/(j*j**(2\/3))**0)**(-2) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 14 = 2*n, 0 = -191*p + 192*p - n - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i - 29. Let z be y(-29). Suppose -v - v + j + z = 0, 5*v - 950 = j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 169?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 486 = -46*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 + 1)*(2*i + 0*i + i) - 2*i - i + 4*i.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0725682 days to hours.\nAnswer: 1.7416368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 4 = -35*i. Let f be ((-20)\/(-3))\/(3\/9). Let m = f - i. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.037 - -34.963. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3575 and 600.\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggqggigccccgcggga?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 15*u**2 - 43*u + 54. Calculate v(16).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 776.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -762148?\nAnswer: 76212b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(12\/8))\/((-3)\/36). Suppose -w*g + 18 = -5*g. Suppose g*a - 2*a - 360 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -2. Let s be ((-6)\/(-4) - g)*38. Suppose 0 = -4*h + 5*n - s, 5*n - 18 = 6*h - 3*h. Is 1\/5 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/7)\/j**(-10))**(-1\/59) assuming j is positive.\nAnswer: j**(-66\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10366902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k - 84. Let n be t(-7). Put n, -2, 2, -3 in descending order.\nAnswer: n, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.9 (c) -44 (d) -2\/5 (e) -1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745806, 3491553, 5237300?\nAnswer: 6983047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 3*s - 678693. Let i be m(0). Let f = -251693 - i. Suppose -12*b + 7*b = f. Round b to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + 710 = 0. Let j = i - -866. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293\/7 - -194\/7. Is -14 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 232*p**2 + 73*p - 104. What is the thousands digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 6?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525142.8 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4 + 31. Let y(a) be the second derivative of 1\/12*a**3 - a + 0 + 1\/84*a**d - 1\/20*a**5 - 1\/12*a**4 + 1\/60*a**6 + 1\/4*a**2. Factor y(j).\nAnswer: (j - 1)**2*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3329 divide 323686195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157*19.\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(9\/(-396)). Let n = 20 + y. Let c be (4\/(-15))\/(2\/6). Is c at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 6327.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 18. Let n be ((-3)\/9*0)\/1. Suppose n = 5*c + 3*w - 5*w - 56, 2*c + 5*w = 5. Let q be p(c). Solve 0 = 2*h + q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11420 (base 5) to base 4.\nAnswer: -31130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/13 (b) 0 (c) 1 (d) -2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 + 6*f + 4. Let v be h(6). Let c be (v\/2)\/(-2)*-2. Solve -5*o = -4*g - 2, -4*o - c = -3*g - 2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(252) + -3 + sqrt(252))**2.\nAnswer: -108*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3244 - 3240. Let u(c) = -22*c + 76. Calculate u(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1471 in -11, -14, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*g*z**2 - 42*c*g*z + 3*c*z - 5*c - 986*g*z**3 - 4*g*z**2 + 12*g*z - 2*z**3 wrt z?\nAnswer: -2*c*g - 5916*g*z - 8*g - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2 + 40\/25. Which is the smallest value? (a) -3 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 805, 1598, 2379, 3148, 3905, 4650, 5383?\n\"Answer: -6*b**2 + 811*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 8*u**3 - 8*u**3)*((3*u + 0*u - u)*(16*u + 84 - 84) + 2*u**2 + 0*u + 0*u).\nAnswer: 102*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2\/(3 - -1). Let v = -2 + h. Suppose v = -3*u - 2*r + 3*r + 27, -r = -2*u + 18. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 4*o + 2. Let t(i) = -3*i**2 - 8*i - 3. Let v(r) = 2*p(r) + t(r). Determine u so that v(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25788624 divided by -6\nAnswer: -4298104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -346378 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r - 8, -2*b + 5*r + 510 = 0. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (-1 + sqrt(300))**2 - ((sqrt(108) - (sqrt(108) + -1) - sqrt(3)) + sqrt(3) - 2*sqrt(6)\/sqrt(2))**2*-3.\nAnswer: -32*sqrt(3) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -3, -14, -5\/7.\nAnswer: -14, -3, -5\/7, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 - 21b9b6?\nAnswer: -21ba6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*4.322.\nAnswer: -0.17288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551147253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:04 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvpg when four letters picked without replacement from {i: 3, e: 2, g: 1, v: 3, m: 3, p: 2}.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -552 in 2, -56\/5, -2\/9, 16?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {s: 4, n: 1, c: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 32400*g**2 - 97191*g.\nAnswer: -g*(g + 3)*(g + 32397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/13)\/11*(-28 - 1482\/(-52))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554072087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(112)*-3 - sqrt(14)\/(sqrt(2) + (3*sqrt(4))\/sqrt(2) + sqrt(2)).\nAnswer: -121*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2550*x + 851680. Calculate j(334).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1504*h**3 + 756*h**3 + 746*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let j(m) = -m. Let n(r) = -16*r. Let y(v) = 4*j(v) + n(v). Give y(t(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*n - 186*n - 30266 = -5*p, 3*n - 45390 = -3*p. Is n a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 10*m + 7. Suppose x + 71 = -0*x + 4*c, 0 = 3*c - 9. Let o = x - -64. Suppose -24 = 5*n + 5*v + 11, -o*n + v = 35. Determine a(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -838\/5 - -167. What is the nearest to a in 4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10882638?\nAnswer: 2, 3, 13, 46507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -393.434 + 393. Let v = d + -0.066. Which is the nearest to -2? (a) v (b) -5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 16) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -437*t**6\/30 + 689*t**2 + 114*t + 2. Find the first derivative of x(j) wrt j.\nAnswer: -1748*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254512 is divided by 391.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*q - 213*q + 9*q**2 as w*q + g + f*q**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 26*b**2 + 2*b**2 + 81*b**2 - 13*b**2 + 305*b**2 to the form w + t*b + o*b**2 and give o.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (120\/(-2520))\/(16\/(-28)). Let p(x) be the third derivative of 0*x + 0 - 3*x**2 + 15\/8*x**4 - n*x**5 - 20\/3*x**3. Factor p(r).\nAnswer: -5*(r - 8)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 3 in increasing order.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:02 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*w + 6, -22 = -5*b + 2*w + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199 + 285. Suppose 0*x - x = -3*l + 28, -l - x = -16. Calculate the remainder when n is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27*4\/6)\/((-18)\/513) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -867, -2931, -6955, -13593?\nAnswer: -23499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*3*-2. Let d = r - 10. Let z(h) = h - 1. Let q(l) = -4*l + 6. Let g be q(-2). Let v(w) = -w**2 - 8*w + 8. Give d*v(a) + g*z(a).\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*r + 20 = -7, i + 4*r - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19.5. Let a = g + -4. Let l = a - -3.49926. Round l to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, 6 in ascending order.\nAnswer: -24, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/4 (c) 5\/2 (d) 8 (e) 416 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 175630 to the nearest 1000.\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916417231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35508 smaller than 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/30 + i**5\/30 - i**4\/12 - i**3\/6 - 2*i**2 - 582*i. Let s(p) = -p**3 + p**2 - p + 1. Determine -2*s(b) + v(b).\nAnswer: -2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -2 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 12*d + 12. Let i = -162 + 166. Let o be ((-8)\/i)\/(8\/52). What is w(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399 plus -59?\nAnswer: 8340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 49*b - 210. Let y be t(5). Solve -3*s + 3*r = 0, 45*s - 49*s - 3*r = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944) - sqrt(1944)*1*-5)\/((-4*(sqrt(24) - (sqrt(24) + sqrt(48)\/sqrt(2))))\/sqrt(3)).\nAnswer: 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -14\/3*t**3 + 11*t**2 + 0*t + 19. Find the second derivative of x(b) wrt b.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-6)\/32*28.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 835548 - -44?\nAnswer: 835592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 40. Let l be d(17). Which is the second biggest value? (a) 0.3 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -2569211041?\nAnswer: 2569211041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 99*a - 7429. What is n(79)?\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let x(g) = 2*g. Let r be 5\/4 + (-350)\/(-200). Suppose 18*j + 9 = 14*j + r*b, 5*j + 45 = -3*b. Determine j*z(n) - 2*x(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6405.\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 5876944.6\nAnswer: -5289250.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from tiqqi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 76*a. Let x(q) = -5*q**2. Calculate l(x(d)).\nAnswer: -380*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, b: 4, r: 2}. What is prob of picking 3 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, t: 2, a: 5}. What is prob of sequence aa?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 208582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/36)\/(((-5)\/4)\/(-5))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -0.04. Let r = -5.759 - -7.759. Let f = -4.5 - 0.5. Which is the closest to 0.1? (a) f (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 15 = -19*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 72*s**2 + 11*s - 321. Calculate z(36).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 416\/1791 + -2\/199. Which is the second biggest value? (a) -5 (b) -1\/5 (c) q (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x - 1. Let q be s(1). Suppose 3*g - 4*b = 24, 2*b = 4*g - b - q. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-86)\/(-5)*(-15)\/(-6). Suppose 0 = -89*n + 92*n - 450. Suppose -n = -11*i + 312. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.97 + 0.07. Let u = v - 1.1. Which is the second biggest value? (a) u (b) -1 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/7 of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huk when three letters picked without replacement from {a: 3, g: 2, u: 7, k: 1, h: 5}.\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.5, -2\/5, -2\/7, 3, -2 in increasing order.\nAnswer: -5.5, -2, -2\/5, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119396 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, j: 2, u: 2, x: 1, c: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3 = r - 14, -2*s = -5*r - 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 0.6. Let q = 1.1 - -2.9. Let v = q + -9. Which is the closest to -0.1? (a) 2\/3 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5423304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/70 and 113\/40610?\nAnswer: 284270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 1. Let x be n(-2). Let c be 49*x - (12 + -8). Which is greater: c or -54?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let r = -21 + 8. Let a = 9 + r. Put 5, a, c in descending order.\nAnswer: 5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27295 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 5*i, 0 = i + c - 2*c - 4. Let u = 5 + i. Differentiate u*w**3 + 5 - 3 - 3*w**3 wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -1, -1\/7.\nAnswer: -1, -1\/7, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6947\/29878 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 73*s = -28*s. Which is bigger: 5999\/5 or s?\nAnswer: 5999\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5613098 or 5613104?\nAnswer: 5613104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154874949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7383.549 centuries to decades.\nAnswer: 73835.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*q = 6*a + 20, -3*q = 2*a + 12. Solve -4*n = -4*d - 32, -4*n - 2*d + 1 + 7 = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12908456, 25816911, 38725366?\n\"Answer: 12908455*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**5 - 5*f**4 - 35*f**3 + 15038*f**2 wrt f.\nAnswer: 600*f**2 - 120*f - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882673.4 litres to millilitres.\nAnswer: 882673400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*5 + 3 + 4)**2 + 3.\nAnswer: 840*sqrt(19) + 68452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -725.686 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -764 + 294. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233779\/77 + -7 - (-2)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = 7*g + 195 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/192556944 and -139\/320928240.\nAnswer: 962784720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let v(q) be the second derivative of q**3\/3 + 2*q. What is a(v(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 + -269. Is (-8 + -606)\/(m\/(-9)*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11406 divided by 9\nAnswer: 3802\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 5. Let u be -2 - -2*4\/1. List the prime factors of w(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4) + 672\/(-420)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - v + 19, -4*v + 3 = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-187386)\/9 - (0 - 2\/(-6)). Let h = j - -30451. Suppose -11*g + 4560 = -h. Round g to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*w**3 + 1556*w**3 + 39 - 500*w**3 + 39 - 530*w**3 - 78.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2026938 from -0.02407.\nAnswer: -2026938.02407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8055 + -7310?\nAnswer: -16365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*n**2 - g*n + 89590*g + 11*n**2 - 1178*n - 7 wrt n.\nAnswer: -8*g*n - g + 22*n - 1178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.9. Let i = n - 0. Let m = 2.6 - 3. Which is the second smallest value? (a) 5 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6208.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 28. Suppose -3*z + 2*p = -4, -k*z + p + 2 = z. Solve 11 = -z*y - 5*y - u, 0 = y - 5*u + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from vaavallaaaalaala.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -48*q - 11. Let z(l) = -95*l - 21. Let o(g) = -7*i(g) + 3*z(g). Is 4 a factor of o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566 divided by 18727.\nAnswer: -566\/18727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52329 is divided by 13079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-1364)\/1581)*(-6)\/(-9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 29*o - 19. Let x(j) = 11*j - 9. Let g(d) = -2*h(d) + 5*x(d). Let m(c) = 8 + 2 + 4*c - 2. Let b(k) = -3*g(k) - 2*m(k). Calculate b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - 2 + 2)*(0 + 1 + 1) + 1 + w - 1)*(76*w**3 + 79*w**3 - 78*w**2 - 2*w - 158*w**3).\nAnswer: -9*w**4 - 234*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oep when three letters picked without replacement from teeeoeepoo.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 2, c: 1, l: 7, f: 10}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.007 and -157.\nAnswer: -157.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36972 divided by 2054?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374162 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (312656\/(-40))\/(6\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2310741 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27)*(y**(-8)*y*y*y)\/y)\/(y\/(y*y**(-1))*y*y*y**5) assuming y is positive.\nAnswer: y**(-380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**3 - 100*o**2 + 334*o - 313. Let v(g) = 5*g**3 - 50*g**2 + 168*g - 156. Let x(q) = -4*h(q) + 7*v(q). Solve x(c) = 0 for c.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*v - 34706 = 0, 24 = 2*v + 38. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minus -12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4337c4 (base 15) in base 12?\nAnswer: -10a46b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*i**2 + 698077*i + 121632282 wrt i.\nAnswer: 246*i + 698077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52373952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34708 and 3652?\nAnswer: 31688404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31174505*w**2 - 24326458*w wrt w.\nAnswer: -62349010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000102353 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -56) + -37 - -20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:31 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 5*i + 4 = 0. What is the smallest value in 2\/5, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466162313 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445 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: What is 0.7088028 centuries in millennia?\nAnswer: 0.07088028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y - 120. Suppose 5*k - k + 70 = -s, 3*s - 60 = 3*k. Let x be w(k). Calculate the highest common divisor of 30 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(88)*5 - sqrt(88))\/((-2*sqrt(56))\/sqrt(7)) + 5)**2*-3.\nAnswer: -8919\/2 + 810*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -48.10726\nAnswer: 52.10726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*r + 4*r. Suppose -51 = -r*l + 3*s, 5*l - 5*s - 115 = -0*s. Suppose -4*d - 4*o = -8, -l = -3*d + d + 5*o. Solve 8*i - d*i = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-64)\/30560*(-909)\/(-108) and -32\/8595.\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + h = 4*h - 15, 0 = 5*p + 3*h - 21. Let n = 40 + -45. Sort n, p, 5 in decreasing order.\nAnswer: 5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 + 0*w**2)*(-1 + 3 - 1) + (-4 + 2 + 0)*(-3 - 1 + 0)*(-3*w**2 - 6 + 6).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 - -915. What are the prime factors of d?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j + 0*j**3 + 1\/8*j**4 + 47*j**2 + 0. Let n(f) be the third derivative of f**4\/12 - 2*f**2. Determine h(n(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 483289, 966577, 1449865?\n\"Answer: 483288*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/7 + 146*p**2 - 66520*p\/7 - 19592 = 0. What is p?\nAnswer: -2, 79, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34884*l*q + 5694681*l*r**3 + 4*l*r**2 + 5*q*r**3 - 44*q wrt r?\nAnswer: 34168086*l + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -0.93\nAnswer: -4.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -20 - (337 - 351).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*a + 30, -2*a = c - 7 + 13. Solve 6 = -2*k - 2*f, 4*k - 14 = c*k + 4*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -26 + 24 + 0 + 5. Sort 1, -5, 0, i in decreasing order.\nAnswer: i, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 9192*m**2 + 73728*m - 147584.\nAnswer: -4*(m - 4)**2*(m + 2306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -3385467, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-88)\/30)\/((-3)\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 236?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1715 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/6*y**3 - 1\/6*y + 5\/2*y**2 - 1\/3 + 7\/6*y**4.\nAnswer: (y - 1)**3*(7*y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -n + 218 - 70, -2*n = 4. Let s be (-18)\/b + 2447\/5. Round s to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 h when three letters picked without replacement from uupupqhqpuluqqq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 238.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317203947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*a + 497038 = 199942, 297060 = 5*p + 5*a. Is (p\/(-196))\/((-2)\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11547, 3, -29, 1 in decreasing order.\nAnswer: 11547, 3, 2, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15340000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 20, 2*m - 4*k - k + 30 = 0. What is the units digit of (-12)\/(-10)*m\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 = -31. Suppose -c*t - t = -33. Suppose -t*k + 126 = -6. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31772*i**3 - 14*i**2 - 4211*i + 199?\nAnswer: -190632*i - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h*y**2*z**3 - 3*h*y**2 - 3*h*y*z**2 - 4*h*y - 11*h*z**3 - z**3 + 3*z wrt z?\nAnswer: -30*h*y**2 - 66*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - b**4 + 974*b + 32 + 2*b**2 - 971*b - 2*b**3 + 24*b**3 as y*b**3 + h + c*b + l*b**2 + p*b**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 5 = -g. What is the second biggest value in g, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-115)\/1173*-17.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6270*u**2 + 35*u + 67. What are the prime factors of p(-3)?\nAnswer: 2, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -12*g + 84, -o - 2*g - 4775 = -4789 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/5)\/((-3)\/38). Let n = 16 + -59. Let a = h - n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2 + sqrt(704) + 2 + sqrt(704)*-2 + -4 + -2)*1 + 3)**2.\nAnswer: 128*sqrt(11) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 0.3 (c) -1 (d) 31 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let z = -1\/4431 - -1409063\/22155. Let o = -64 + z. Which is the nearest to q? (a) 1 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.4170099 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:22 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -946 (b) -4\/9 (c) -84 (d) 0.3 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2. Let l(n) = 3*n + 24. Give -3*l(g) - 24*y(g).\nAnswer: -9*g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 346*w + 1046. Give i(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2327*v - 4211*v + 1884*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**7\/4095 - k**6\/1560 + k**5\/780 + k**4\/3 + k**2. Let m(z) be the second derivative of c(z). Solve m(p) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o = -36*o, -2*b - 3*o - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 647\/4. Let n = -22 - -1. Let j be -1 + n\/(-15) + 0. Which is the second smallest value? (a) -0.4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24135?\nAnswer: 3, 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 9*v + v**2 - 1\/2*v**3 - 1\/12*v**4 + 0. What is p(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(1419*t**3 - 3456*t**3 + 9*t**2 + 1919*t**3 - 1) in the form x*t + z*t**3 + o + p*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 28. Let r be (-1)\/4 - (-5)\/4. Sort r, 0, k in decreasing order.\nAnswer: r, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.46418 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + t = 20, -14*t + 15 = 4*q - 15*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11\/(s**(-5\/16)*s))\/(s\/(((s*s\/s**(-24)*s)\/s)\/s)*((s\/((s*s**28*s)\/s))\/s)\/s))**(-12\/7) assuming s is positive.\nAnswer: s**(-441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9887\/5 - -1068551\/540. What is the common denominator of 53\/216 and r?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w**(-10)*w*w))\/w*w)\/w**(-12)*(w*w**(7\/4)*w)**29 assuming w is positive.\nAnswer: w**(523\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-1))\/9*-6. Let y be m\/7 - (-40)\/7. Calculate the common denominator of y\/(-56)*(-292)\/6 and -13\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p, 2*p - 12 + 309 = 5*f. Suppose -3*j + 167 = 2*y, -j - y = -2*j + f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31984 + -464997.\nAnswer: -433013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.021, 1, 1\/11, 0.88, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184971491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307500385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88881 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 at most as big as 632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 13863091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 4, 16, 22, 16, -8?\n\"Answer: -s**3 + 6*s**2 + s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (59363\/46)\/((-1)\/(-2)) - 9\/(-3). Calculate the greatest common factor of z and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -358 - -127?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 120. Determine n(-18).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -180181, -221478, -262761, -304024, -345261, -386466, -427633?\n\"Answer: g**3 + g**2 - 41307*g - 138876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -299, -445, -589?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j - 8*j - 31*j**2 - 9*j + 50*j - 8*j.\nAnswer: -31*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 4*p - 16519267*p**2 + 3*p.\nAnswer: -16519267*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 7*y**2 + 7*y + 4. Let j be l(6). Suppose s - 293 = -j. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 3*t - 2. Let k(q) = -2*q**2 + 7*q + 4. Let h(z) = -7*b(z) - 3*k(z). Let x be h(2). What is the units digit of 4 + 45 + x + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Sort y, 2, 3 in increasing order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589543.6959 - 589591.69589998. Let o = t + 48. What is o rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/38 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3820*b**5 - 2118*b?\nAnswer: 76400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + -2.94. Let w = n - -0.8. Let r = 0.2 + -0.1. Sort -0.2, r, w in descending order.\nAnswer: r, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6167, 12087, 17939, 23729, 29463, 35147?\n\"Answer: x**3 - 40*x**2 + 6033*x + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*t = -523 - 1969 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*r**4 + 51*r**3 + 18*r**2 - 111630 with respect to r.\nAnswer: 72*r**3 + 153*r**2 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82800?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3153, 3183, 3227, 3291, 3381, 3503?\n\"Answer: h**3 + h**2 + 20*h + 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence memt when four letters picked without replacement from mmgttgce.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {c: 1, d: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let f be 1\/1 + (-14)\/l. Let s = f - 5. Solve -2*b = 4*w + 26, 0*b + s*b = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*i**2*x*y**2 - 7*i**2*x*y - 4*x**3*y**2 + x**3 + 2*x*y wrt y?\nAnswer: 36*i**2*x - 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - sqrt(198)*-2)*2 + (sqrt(198)*2 + sqrt(198))*5)\/(6*(sqrt(6)\/sqrt(3)*6 - 6*sqrt(2)*-2)).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 651 in 3, 2\/13, 64\/7, -0.3?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1181 + 64?\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/87 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 5, w: 2, g: 1, h: 1, l: 2}. What is prob of picking 1 g, 1 h, and 1 j?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**4 + 5*t**2 + 4*t**2 - 3*t**2 - 4*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 s when three letters picked without replacement from wiigisiki.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/63 + -61\/126. Let m(i) = i**2 + 2*i - 9. Suppose 0*n = 4*n + 16. Let r be m(n). Which is the nearest to -1\/2? (a) l (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w - 12. Let n be m(7). Let p(f) = -f**3 + 4*f**2 + 7*f - 5. Let z be p(5). Suppose -37 + 2 = -z*v. Solve -n = k - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:53 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95064739 and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8. Calculate the lowest common multiple of 10 and -3 + o + 6 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2*q - 19, -3*p - 2*q - 5 = -7*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-15)*(-9)\/(-54)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22216424 (base 7) to base 5\nAnswer: 442430141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259 * -0.3.\nAnswer: 77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1, 0.1, -1\/2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -58. Suppose -3 = -h - 2*h, -5*t + h = 8061. Is 21 a factor of t\/(-60) + a\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62490670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*g = -20, 5*k - 22 = 2*k - 4*g. Solve 65 = -7*u - k*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4 + (1 - -2))) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -70, 0, 1574.\nAnswer: -70, -4, 0, 1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrrrrrrryrrrrri. What is prob of picking 1 y and 1 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476747774?\nAnswer: 2, 4241, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/105 and 58\/227227.\nAnswer: 3408405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 + q**2 - 4*q + 4. Let p(o) be the first derivative of -44 - 7\/2*o**2 + 7*o + 2\/3*o**3 + o**4. Give -7*j(x) + 4*p(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6522.4 - -6522.4399976. Let g = 0.04 - l. What is g rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511240*z**2 - 255573*z**2 - 255671*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26179956294 + 163.\nAnswer: -26179956131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228)*2 - sqrt(228))\/sqrt(4))\/(sqrt(30)\/(sqrt(10) - (sqrt(80)\/sqrt(72) - sqrt(10)))).\nAnswer: -25*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41063808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -23. Let a = 13 + k. Calculate the remainder when (-2)\/a + 38*1 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 469314 = -2*t, -9*t = -4*r - 14*t + 125137. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730658 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -5 - (-6 + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 2386 = 31*k + 4*t, 4*k + 4*t = 9504. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h - 1. Let m be z(6). Let f be -1*4*66\/(-8). Suppose 0 = 5*w - f - m. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:52 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*(7 + -1). Suppose m*h - 9 - 44 = -4*b, -b + h + 22 = 0. Let i = 24 - b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 4245, 3, 4, -18 in descending order.\nAnswer: 4245, 4, 3, 2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1)\/(-2) + 0. Which is greater: 1\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1671 + 0.0071. Let j = -65.16 - -69. Let u = l - j. Which is the closest to 1? (a) 1\/4 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 3 + 3 - 3 - k**5 + (32*k**5 + 42*k**5 - 64*k**5)*(1 - 4 + 1).\nAnswer: -21*k**5 + 2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*m - 3 = -141*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -2, 4, 1\/9 in descending order.\nAnswer: 4, 1\/9, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -108?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 2*j + 6. Suppose -9*f + 2 = -3*r - 5*f, -3*r - f - 7 = 0. Let q be x(r). Let w(h) = h**3 + 4*h**2 - 5*h - 6. Give w(q).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.0773, -1\/2?\nAnswer: 0.0773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -33, -69, -117?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80.3 - 80. What is the closest to -0.2 in 1, -4\/7, v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 2*y + 3. Let b be w(-3). Let l = 17 - b. Let m(p) = -p - 4. Let z be m(l). Solve z*g - 2*j = j + 24, -4*g - 2*j + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 3*w**2 + w - 3. Let l be y(1). Sort 2, 237, l.\nAnswer: l, 2, 237","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 8*f + 38. List the prime factors of c(-13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/8 (b) 3\/7 (c) 1 (d) -7.97 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - 1) + -11 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33535185 by -15.\nAnswer: -2235679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13036415 (base 7) to base 2\nAnswer: 100100001100010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -102 (b) -3\/5 (c) -322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + x - 3. Let y be j(-6). Suppose -4*u + 3*n = -0*u - 24, -4*u - 3*n + 48 = 0. Calculate the greatest common divisor of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 2163196?\nAnswer: 2163196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4826 is divided by 194?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 402?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -26. Let k be (-32)\/h + (-11 - -7). Suppose 0 = -4*t + k + 28. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223516223 (base 7) to base 15\nAnswer: 12e007e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -335*c + 2. Let b(x) = -366*x + 1. Give f(b(n)).\nAnswer: 122610*n - 333","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -2*v, 6*v - v + 2*c = 18. Suppose 2*t = -3*j + 170, -v*j + 125 = -3*t + 2*t. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (3 + -2 + -2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/33*2*(-3)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63) + sqrt(63) + sqrt(63))\/sqrt(9) - sqrt(63)*2.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 2\/13 (b) 5 (c) 2\/3301781 (d) -1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 2*j - 250. Let y be (41*1)\/((-6)\/(-12)). Let c = y + j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-7))\/((-4104)\/(-2394)). Which is the third biggest value? (a) n (b) -507 (c) -3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64350 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 1. Let k(m) = -11*m - 78. What is -k(r) - 2*t(r)?\nAnswer: 5*r + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -638 and -0.5?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2017.6572 nanoseconds to minutes.\nAnswer: 0.00000003362762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 3439 (b) 1\/4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -150?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 35*a**2 - 73*a + 40. What is f(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -6, -6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9593 - -9593.2181. Round i to 3 dps.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/5 (c) -4 (d) -2.1 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12585 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -114.96. Which is the second smallest value? (a) -0.2 (b) 0 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -486\nAnswer: 6318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 7*d. Let p be k(7). Suppose 0 = 4*z - 3*x + 10, -5 = z - p*z - 2*x. Is 5\/(15\/72) + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5\/5 + 66357*g**4\/5 - 944961*g**3\/5 + 3083113*g**2\/5 - 540351*g + 99450 = 0.\nAnswer: 1\/4, 1, 3, 10, 16575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5469*i + 3. Let m be p(-3). Let g = m - 49693\/3. Let n = g - -153. What is the third biggest value in -5, n, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -473, -463, -441, -401, -337?\n\"Answer: p**3 + 3*p - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16450383 < -16450362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315 (base 6) to base 10.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 + 5?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3879*h*s**3 - 2919*h*s**2 + h*s wrt s.\nAnswer: 23274*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 109665871 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20.22. Let h = l + 0.32. Is h < -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 - 111340*w + 619829780 = 0?\nAnswer: 11134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/40)\/(8\/(-176)). Let m(h) be the first derivative of 4\/3*h**3 + 2\/5*h**2 + 0*h - 7\/5*h**5 - 4 + c*h**4. Solve m(j) = 0.\nAnswer: -2\/5, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24773 is divided by 8126.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127686 divided by 78?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*z**3 + 12*z + 20 + 17 - 12*z - 67 + 27.\nAnswer: -260*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3259 + -3253. What is the highest common factor of q and 732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 10 = 5*k. Let o = -6 - -7. Let g = k + o. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3160*g**2 + 24*g + 178. Let f be z(-9). Suppose -30*u = -f - 34688. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (2913 - 2) - (-8 - -3).\nAnswer: 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69876.5m to centimeters.\nAnswer: 6987650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + 83370\/4 + 1. Let o = -8855 + t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 0 + (12 - -2) + -22 + (-6 - -23).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 12*y**2 + 8*y - 17. Let w(j) = j**3 + j**2 - 2*j. Let n(d) = -l(d) - 4*w(d). Calculate the remainder when 26 is divided by n(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/(-48)*(-6)\/4. Let 1\/2*o**p + 3*o + 9\/2 = 0. Calculate o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 619.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 33*b)*((-5 + 5*b + 5)*(-3 + 3 - 4) - 3*b - b + 2*b + 2*b + 4*b - 4*b).\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 88*k**2 - 465*k + 5. Suppose 2 = -4*u - 14, -b + u + 59 = 0. Suppose 4*l = b + 9. Calculate the remainder when l is divided by f(93).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-116))\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-1353)\/1023) + 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140)*-3 + sqrt(140))\/sqrt(4))\/(sqrt(84)\/sqrt(300)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20773*p + 20732*p - 41560*p. Let g(f) = 14*f. Calculate g(w(a)).\nAnswer: -770*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 17. Let f be l(7). Suppose m = -m + f. Solve 4*b - 3*b - 11 = 3*q, 2*b - 2 = m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose s = 3*r - 5*r + 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -604215?\nAnswer: 604226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1527 - 2.\nAnswer: -1.8473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 0. Suppose -37*y + 34*y + 6 = b. Solve 2 = y*k + 5*m, k = -0*k + m + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 103935\nAnswer: -4\/103935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(5\/8)*h\/(h\/h**(-1\/2)))\/(h**(-1)\/h*h*(h**10\/h)\/h))**(-12\/7))**(3\/4) assuming h is positive.\nAnswer: h**(351\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkcmcmc. What is prob of picking 2 c and 1 k?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a - 179?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 64*w**2\/3 + 94*w + 72.\nAnswer: -2*(w - 36)*(w + 1)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1)\/(2\/(-4)). Let y be ((-3)\/6)\/(1\/12). Let n be 14\/(-12) + 7 + y. Which is the closest to 0? (a) n (b) 3\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 54518776?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - 6 - 5) + (4 - 1). Solve 6*p = -c*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456 divided by -7?\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32\/5 of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 13*v**4\/24 - 25*v**3\/6 - 33*v**2\/2 + 36*v. Let d(f) be the first derivative of s(f). What is the tens digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*v - 5. Suppose -5*k + 16 = 4*y, -4*k = 5*y + 6 - 17. Is 2127\/v - k\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i + 42 = -0*m, m + 6 = 4*i. Suppose -p + 6*p + 5 = z, -p + 2*z = m. Let d be (2\/4)\/(2\/16). Solve p = -2*r + d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f + 12. Let o(b) = b**2 - 8*b + 4. Let u be o(f). Let k(j) = -14*j - 22. Let a be k(u). Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 7*h. Which is bigger: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4207 is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6 - 2*y**3 - 11*y + 4*y**2 - 6*y**3 + 9*y**3. Let b(w) = 3*w**3 + 7*w**2 - 23*w - 13. Let l(s) = 4*b(s) - 7*u(s). Factor l(v).\nAnswer: 5*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {a: 3, y: 3, u: 3, i: 4, m: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/25703 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 14. Let b(y) = 3 - 7 - 9 - 8 - 13*y. Let i(m) = 5*b(m) + 7*q(m). Let v(r) = 1. Let u(t) = -i(t) - 5*v(t). Differentiate u(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 77 + -1 - 1. Let z be -2 - (5 + (1 - -24)). Let g = z + d. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1201\/11 + -25219\/220. Find the common denominator of z and (20 + -94 + 23)*(-1)\/(-148).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 951945.\nAnswer: 3807780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.47 - -2.47. Let d = 103.2 + w. Which is the second biggest value? (a) -2\/3 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6347\/(-3462)*12\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 2. Let y(a) = 2 + 4*a + 1 + 0*a - 1. Calculate 3*d(g) + 4*y(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*h**3 + 5 + 142*h**3 - 4.\nAnswer: 368*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160430 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89431115 plus 7?\nAnswer: 7.89431115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441071990 or 441071993?\nAnswer: 441071990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -0.275.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/((-5)\/35*-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645 is divided by 544?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.56 * -401.\nAnswer: 2229.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n + 5. Let y(x) = 11*x + 6. Suppose 5*l - 2*p + 3*p - 30 = 0, -30 = -5*l + 4*p. What is l*j(z) - 5*y(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 30 = 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*q - 208*q - 55*q)*(-q**2 + 0*q**2 - q**2)*(5*q - 4*q - 3*q).\nAnswer: -1420*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 less than 31455969021?\nAnswer: 31455969104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*a - 18 = -4*a, 3 = 2*w + a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76121693 and 879?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -30*u - 43. What are the prime factors of n(-10)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 30 = 46. Let i(a) = 1061*a - 154. Let s be i(h). Round s to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (10 - -17) + -1 + 5 + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*y + 60 = 0, 0 = -4*u - 40078*y + 40075*y - 47 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((32\/6)\/4)\/(2\/3). Solve -7 = 5*a - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - -4) + -4)\/((-9)\/3). Solve -m + p*m - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 13. Let w = -818 - -822. Calculate the smallest common multiple of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 122. Let t be h(-13). Let s = t + 244. Which is bigger: s or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*l + 34, -16*g + 24 = -9*g + l. Suppose -4*k + 0 + 24 = 0. Suppose 0 = f + 2*f - k. Solve -2*y = g*d, -5*d - y + f*y = 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1467 - 1462. Let j(q) be the third derivative of 0*q - 10*q**2 + 1\/180*q**4 - 1\/450*q**o + 2\/45*q**3 + 0. Factor j(c).\nAnswer: -2*(c - 2)*(c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2488803809 and 10657?\nAnswer: 10657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -0.5 (b) -1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 3*p + 283 = -0*n + 386, -p - 39 = 4*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/352*-8)\/(25\/(-30))*(-6)\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -61, -150, -311, -568?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/3 - 12130*u**4\/3 + 12337991*u**3 - 1393421620*u**2\/3 + 13196035876*u\/3 = 0.\nAnswer: 0, 19, 6046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 3*z - 15*z**2 - 41*z**2 - 109*z**2 + 31*z**2.\nAnswer: -125*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 52 = -2*p, 8 = -p - 5*d. Let m(b) = b - 3. Let g be m(4). Let s = g - p. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -415170 or -415171?\nAnswer: -415170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*p + 11, 463*p - 466*p - 6 = -3*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*g + 14, -5*z - 4*g = -4*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(2 + sqrt(108)) + -5*(sqrt(108) + (sqrt(108) - (-1*sqrt(108) - sqrt(108))))) + (5*3*sqrt(108) + 1)*4)**2.\nAnswer: -17280*sqrt(3) + 875056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(136\/44 - 3). Let i be (-12)\/18*(-2 + q). What is the tens digit of i\/(-3)*297\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*(-3 - 21\/(-6)). Let t(n) = n**2 - 7*n - 3. Is t(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17361*n + 190975. What is t(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 319635836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-9)\/(-2))*-3. Suppose d - 1 = -w*h + 3, -2*d - 5*h = -5. Let g(p) = p**3 - 9*p**2 - 10*p + 8. List the prime factors of g(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32232 by 33.\nAnswer: 10744\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 3. Let o = 0.65 + -6.35. Let u = o - -1.7. Sort u, 0, g in descending order.\nAnswer: g, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 197518.\nAnswer: 2567734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(539)*-6 - (-3*sqrt(539))**2*-2.\nAnswer: -168*sqrt(11) + 9702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 - 46*z**2\/11.\nAnswer: 2*z**2*(z - 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62787821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 3. Let w be t(4). Let o be (w + -6)*(-6)\/10. Solve 4*a = 3*a - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Let h(n) = n**3 + 43*n**2 - 44*n + 2. Let f be h(-44). Sort -1, d, 6, f in descending order.\nAnswer: 6, f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 769, 1156, 1543, 1930?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 30 = 5*s, 0 = -6*s + 3*s + 5*q + 37. Suppose -36*c + 65 = -31*c. Solve k = -4*a + 15, -2*a + 31 - c = s*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1223*r = -2237*r - 12618 - 18522 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 17*q**2 - 10*q + 11. Determine j(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.115102466 - -0.1151. What is r rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 7. Let n be (-3)\/(-3)*4 - (11 - 2). Let a be i(n). Let y be ((-1 - a) + 1)*-1. Solve 8 = y*s - 7*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -282)\/2 + 0\/(-13). Let i = 3 + -1. Suppose 0 = -i*b + 4*u + g, -b - u = 2*u - 65. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 25 + 78*f**2 + 114*f**2 - 208*f**2 to n*f + w + c*f**2 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3*c**4\/8 + c**3\/2 + 8. Factor u(q).\nAnswer: -3*q**2*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 18*c + 4. Calculate j(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/1)\/((-93)\/(-837)*(-42)\/(-1)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f + 0 + 25*f + 1.\nAnswer: -14*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {w: 3, n: 6, d: 3, i: 2, k: 4}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 3*b)*(-3*b + 3*b + 3*b)*(2*b**3 + 0*b**3 - 3*b**3).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 + z + 3. Let l be t(3). Let i = 9 + l. Let b be (-11)\/(-4) - i\/(-24). Solve -2*u = -5*u + b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65502*p - 126 = -65544*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9996?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s**2 - 2 - 5*s**3 - 1 - 5*s - 24*s**2 + s**3. Let c be p(-1). What is the nearest to 0 in c, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08799 * -148.\nAnswer: -13.02252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 4 + 8)*(5 - 4 + 4)*(p + 4*p - 4*p).\nAnswer: -225*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 11*a**2 + 13*a - 8. Let x be z(12). Suppose 4*n - 2*o = 14, -2*n + 2*o = -6 - x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-13))\/((410\/260)\/(-41)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 695143261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 31\/5*c**3 - 224\/5*c**2 - 1\/5*c**4 + 256\/5*c.\nAnswer: -c*(c - 1)*(c + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 152330?\nAnswer: -152331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5808 = -102*y + 264 + 1753 - 277 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26761513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021133121 (base 4) in base 16?\nAnswer: -897d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1730)\/4*20\/(-25). Let x = w + -197. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 8, 5*y + 4*l - 17 = 0. What is the remainder when 13 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**2. Let g(f) = 5*f. Give g(h(w)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 1, t: 1, m: 2, q: 2}. Give prob of sequence omqm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 40*g**2 + 2*g - 4. Let a be c(20). Let w be 2 + (-17)\/(442\/a). Suppose -w*h**2 + 22\/13*h - 12\/13 - 2\/13*h**3 = 0. Calculate h.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - -e4692?\nAnswer: e46b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -49) + 27 + -31 + (1 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 2*t - 47 = -34*o, -3*t = -o + 72. Differentiate -11*v**2 + 8 + 142 + o*v**3 + 11*v**2 + 10 wrt v.\nAnswer: 171*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.039, -0.12, -0.5, 3, -1, -50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2928 and 15216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -66.2.\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*s**3 + h**2*s**2 + 16*h**2*s - 28*s**3 - 20*s wrt s?\nAnswer: 12*h**2*s + 2*h**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14487879 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10856\/304)\/(-23)*6\/(-3) - 3. Factor x*n**2 - 8\/19*n + 8\/19.\nAnswer: 2*(n - 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 374906*o**2*r*s - 119*o**2*r + 4*o**2*s + 14*o**2 + 80*o*s + 17*o + 2*s - 5 with respect to r.\nAnswer: 374906*o**2*s - 119*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 + 622 = 49*d. What is the least common multiple of d and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133720 (base 8) in base 2?\nAnswer: 1011011111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 7312*s**2\/5 - 1150848*s + 1753519104\/5.\nAnswer: -2*(s - 232)*(s + 1944)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4292, 8602, 12938, 17312, 21736, 26222, 30782?\nAnswer: 35428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 5, -5, 22, 4 in ascending order.\nAnswer: -5, 4, 5, 22, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + j + j)*(1 + 67 - 115) + j + 4 - 4 to k + u*j and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1422.862 - 2.138. Is g equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 15*a - 34. Let v be g(-12). Let q(n) = 2*n - 2. Let m(l) = -1. Determine v*m(y) - q(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-5)*v*v*v)\/(v\/v**(-5))*(v*v\/v**(-2))**8)**(-10) assuming v is positive.\nAnswer: v**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 12*r**2 + 27*r + 18. Let y be g(14). Suppose 5*q + y*k = -12, -q = -0*q - 3*k - 9. Factor -7*l + 8*l + 2 + 12*l**2 + q*l - 13*l**2.\nAnswer: -(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.4 in -25, 0.2, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122138.\nAnswer: 2, 173, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = i - 8*i. Let k = -213\/5 - -43. Solve 2\/5*a**i - k - 2\/5*a + 2\/5*a**2 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 15*t + 18. Let o be c(-16). Suppose 0 = -o*k + k. Suppose k = -j + 5*j - 68. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11001\/(-7334))\/((-3)\/(-120)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2, a: 1, z: 1, f: 1, j: 1}. Give prob of sequence zj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89159880 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14329)\/82236 + (-4 - 0)\/(-48)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2*w**2 + n**2*w - 3*n**2 + 341*n*w**4 - 495*n*w**2 - 632*n + w - 2 wrt w.\nAnswer: 4*n**2 + 4092*n*w**2 - 990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60140 and 1178.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - j + 15 = 0, 33 = 5*r + 272*j - 270*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 3*w - 10. Let l be j(-3). Let v = -10 - l. Calculate the least common multiple of v and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891300960 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -14*p + 2. Let l be t(4). Let z = 1\/2980 - -101309\/32780. Calculate the common denominator of z and l\/30*(-90)\/8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7686 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 105 + 1665. Suppose -5*l + 205 = d, d = -d + 4*l + s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 13*l**3\/3 - 2*l**2 - l - 1319. Calculate v(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 3*h**3 - 20*h**2 - h + 1 + 0*h. Suppose 23*r + 14 = 25*r. Is d(r) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2*sqrt(76) - sqrt(76))*5 - sqrt(76))\/(sqrt(12)\/sqrt(3)*-6).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 305, 310, 319, 332?\n\"Answer: 2*u**2 - u + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-15)*12\/176)\/((-6)\/66)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -6580.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j + 5*a = -10, 3*j + a = 26. Let l = 1255462 + -1255462. Suppose 5*s = s + 20. Solve j + l = -s*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75357 and 4500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -w, 4*w - 5*s - 43 = 6. Suppose 2*r + 0 - 32 = -4*d, -94 = -5*r + 4*d. Suppose -2*t = -4*t + r. Calculate the least common multiple of t and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (-1 + 5)) - (1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 375*a**5 + 5*a**4 + 5470*a**3 - 351*a**2 + 1064*a - 11.\nAnswer: 22500*a**2 + 120*a + 32820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 181, 284, 403, 544?\n\"Answer: m**3 - m**2 + 89*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 411\/14 - 49\/2. What is the common denominator of y and 59\/371?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, t: 5}. Give prob of picking 3 q and 1 t.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*u + 51, 3*u - 5*b - 51 = -7*b. Let g(t) be the third derivative of t**5\/60 - 17*t**4\/24 + 3*t**3 - 2*t**2. What is the tens digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b, -21*b + 25*b = 2*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540763 is divided by 110032.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9228 + 9241 + x**2 - 3*x**2 - 2*x + 3*x**4 + 2*x**3 to q*x**4 + t*x**3 + j*x + d + o*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 + 15*i**3 - 86*i**3 + 15*i**3 + 18*i**3 + 14*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 816*a**3 - 2 + 2*a**4 - 464*a**3 + 0 + 0*a - 286*a**3 - 2*a as d*a**4 + s + p*a**2 + g*a + h*a**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 6*i + 6. Let s be 5\/(-10) + (-1 - i). Let p be 12\/(-2)*2\/3. Put s, -2, p in ascending order.\nAnswer: p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37727 is divided by 3766.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*1.65\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = x + a + 1, -3*a - 3 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/29, -1\/32, -261 in increasing order.\nAnswer: -261, -1\/32, 22\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8373.4418 rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2469 (b) -5 (c) -0.3 (d) -0.172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 6*l**2 + 46*l + 68 = 0.\nAnswer: -17\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1473604 + -0.14752. Round l to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxbtctlcttxxltxbbx. What is prob of picking 1 x, 1 c, 1 b, and 1 t?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -225*n - 441. Calculate a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-19)*u)*u**(-12) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20481 = 21323*a + 189901 + 88140 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562928 is divided by 1350.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3628 + -1761. Let a = q + -3956. What is a rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*k = -2*n + 2, -3*n - 2*k = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 98 + -20?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4182604 divided by 4\nAnswer: -1045651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*d, -5*t = -6*d + 2*d. Suppose 4*a - x - 18 = t, 4*a + 2*x + 8 = 5*a. Solve -4*z + 7*z + 32 = 4*q, -a*q = -2*z - 28 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 12*s - 4*s - 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2 - (-264)\/(-51)). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:01 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4835.751 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 325 = -297 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.6. Let l = 5.8 + -0.8. Suppose -4*f + 16 = 5*n, -n = -2*f - 4 - 2. What is the nearest to f in 0.2, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 + 56*d\/5 - 24 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532*j**4 - 121*j**3 - 27*j**2 - 266*j - 8463 wrt j?\nAnswer: 6384*j**2 - 726*j - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 24 = 0. Solve z - 8 = 4*z + 2*a, -2*z - w = a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 9*k + 25. Let q be r(6). Solve 6*c = -5 - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 34 (c) -2 (d) 3 (e) -14\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 197 - 2*j**2 - 41*j**3 + 4*j + 200 + 32*j**3 to the form b + o*j + g*j**3 + d*j**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(2448) - sqrt(2448)).\nAnswer: -3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*a - 131*a - 18*a**3.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/2 - 5*c**3\/3 - 3*c**2 + 6*c - 17. Let d be k(4). Let b = 144 - d. Calculate the least common multiple of b and 16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3103384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28580.1486 plus 3628?\nAnswer: 32208.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-2898)\/23)*1*-3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39490058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (9 - 6) - (-6 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * -1.7711.\nAnswer: 118.6637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176.4 + -227.939. What is b rounded to 1 dp?\nAnswer: -51.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-8 - -4) + 2 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**3 + 7071918*z**2 - 6057157?\nAnswer: 3*z**2 + 14143836*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*q**2 - 32*q**2 + 60*q**2.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 6)*((-2 + 3 + 0)*(-3*v + 2 - 2) + 1 - 1 + v + (-1 + 0 - 2)*(3*v - 3*v - 2*v)) to the form r + k*v and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9.0000062. Round m to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044644 rounded to five dps?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 15, -24 in descending order.\nAnswer: 15, 0, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + 15 + -14 + 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b - 5*b + 0*b + (-2 + 2 + 1)*(4*b - 3*b + 0*b) + b + 4*b - 4*b in the form j + s*b and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17288924?\nAnswer: 2, 43, 100517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42912 and 42912?\nAnswer: 42912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4 - 2. Suppose 2*m + 1 = -g. Put 1, 4, m in ascending order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 5*r + 35. Let d = 14 - 14. Is 7 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.55945068 rounded to 2 dps?\nAnswer: -13.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 347533137443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**3 + 29 - 3*l**3 - 2*l**2 - 25*l - 4*l**3 - 3*l**3 to i*l + s + k*l**3 + b*l**2 and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 952?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21544659 by 4.\nAnswer: 21544659\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 209447*i + 104724.\nAnswer: -(i + 104724)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 14 - (-3 + 4 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u + 7*u = 8*u - 156 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g - 5 = 0, -4*s = g - 3. Let o = 3 + s. Solve 4*r = o*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 9\/(-12)*-4. Let o be 1 - (-6 - w) - 3. Suppose 2*k - 4 = o*k - 5*i, i = k. Solve -k = 3*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 26 in decreasing order.\nAnswer: 26, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3045 - -0.7626. Let w = 0.33 - -0.12. Let g = a - w. Round g to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147720699?\nAnswer: 3, 7, 53, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*q - 142*q = v - 102209, 102200 = 4*q + 4*v. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 28. Let v(z) = -2*z**3 - z**2 + 47*z + 138. Let l be v(-5). Calculate the highest common factor of l and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - (8 + -3)) + 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 10:21 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*x**4 - 704339*x**3 - 2837209*x**2 - 2356*x = 0.\nAnswer: -4, -1\/1204, 0, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 57. Let p(z) = z**2 + 2*z - 2. Let j(t) = t - 1. Let f(k) = i*j(k) - p(k). Let x(d) = 19*d. Calculate f(x(n)).\nAnswer: -361*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*n + 38340 = -56*n. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197 + 202. Let j be (1 - 2)\/(k\/(-495)). What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) 2 (c) -2 (d) 578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let z(b) = -3*b - 2. Let f(d) = -5*g(d) - z(d). Is f(-9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -3*a**5\/10 - a**4\/6 - a**3\/2 - a**2\/2 - a. List the prime factors of j(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 103*n**3 - n**2 + 2*n + 2. Let x be u(-1). Is x at most -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6192.100159 - -0.000159. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33131 (base 6) to base 13\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7a - 3fc?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 100010011101001011?\nAnswer: -100010011101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -24*g**3 + 29*g**2 + 17*g + 70. Let h be a(-35). What is h rounded to the nearest ten thousand?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o + 12*o**2 + 58*o**2 + 21*o + 23*o.\nAnswer: 70*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -865*u**4 + 15*u**3 + u**2 + 13*u - 39391?\nAnswer: -20760*u + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-108)\/(-63) + -1 + 18\/14. Let j(r) = -2*r. Let v(f) = -f. Let x(d) = q*j(d) - 3*v(d). Let i(g) = -g. What is 7*i(z) - 5*x(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from yvvy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 2}. Give prob of sequence mn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d2 (base 14) in base 9?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327290841?\nAnswer: 1061, 1250981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d4 + 0?\nAnswer: 10d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 + 12742*y**2 = 0.\nAnswer: -6371, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.010841um?\nAnswer: 0.000008010841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 = -c, 13 = 4*r + c. Let m be ((-4)\/(-10))\/(1\/15). Suppose 0 = -4*j - 2*v - 12, -5*v = -0*j - r*j + m. Which is smaller: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*g - 361, -3*f + 391 = 4*g - 0*f. What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:21 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124130, 124132, 124142, 124166, 124210, 124280, 124382, 124522?\nAnswer: 124706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 15*s - 27*s - 3*x, -2*x + 15 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:00 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.06, 0.0091 in decreasing order.\nAnswer: 2, 0.06, 0.0091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -0.3. Let n = 103 + -106. Let q = -0.02 - 0.38. What is the nearest to n in -1, q, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-7))\/(10\/255) and -1318*(-3)\/168 + (-154)\/539?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v*v**(-5)*v)\/v)*v**(-1\/3))\/(v\/(v\/v**(-7))*v**(14\/3)) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.062 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*v = 127*v - 150. Solve 0 = 5*b + v + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5552380 and 273177096?\nAnswer: 1365885480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:08 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (((-250)\/(-40) - 7) + -12))*8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 18\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 + 8*t + 36. Let n(r) = 5*r**3 - 7*r - 32. Calculate 6*h(w) + 7*n(w).\nAnswer: 5*w**3 - w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 1}. Give prob of sequence yv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 45 = -4*y. Let p(z) = z**2 + 5. Let f(j) = -j**2 - 3. Let n(h) = y*f(h) + 3*p(h). Let c(x) = 31*x**2. What is n(c(q))?\nAnswer: -1922*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 849*t**2\/2 + 37*t - 48. Is c(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24374720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 2*l**2 - 3*l + 1. Let d be y(-3). Let p be -4*d\/2 - -2. Suppose p = -3*u - 3020 - 2080. What is u rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m - 4. Let r(a) = 33*a - 127. Let w be r(4). Let g(v) = 8*v + 12. Calculate w*g(y) + 14*b(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 14) in base 4?\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:02 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let v(b) be the first derivative of -3 + 0*b + 1\/24*b**4 + 0*b**3 + 3\/2*b**2. Let z(l) be the second derivative of v(l). What is g(z(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350041117 to the nearest integer?\nAnswer: 18709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4687522 plus -11?\nAnswer: 4687511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 204420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*q - 110 = -27, 0 = 3*m + 5*q - 65. Suppose -4*b - b + m = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778989893?\nAnswer: 11, 6437933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/7 + 557\/(-7). Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22. Let w = -2648 + 2647. Let n(g) = -g**3 - 1. Give w*x(s) + 22*n(s).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180606375 divided by -7224255.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 16. Let w be m(0). Suppose 0 = -4*y + w. Calculate the remainder when 10 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 31342656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 12:54 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 2*m + 198. Let j be (-11 - -11)\/((-6)\/2). Let f be o(j). Suppose -3*n + 4*w + 57 + 141 = 0, 0 = -3*n - 3*w + f. Is n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*h**3 - 1814656*h**2 + 205533101620*h\/9 + 7007017870600\/9.\nAnswer: 4*(h + 34)*(9*h - 226985)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 - 1 = 0. Suppose 0 = 4*y + 5*u - 14, u - 5 = -g*y - 0*u. What is the smallest common multiple of 10\/y + 0\/13 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*(l**(-29)*l)\/l))\/l**(-25))**(7\/8) assuming l is positive.\nAnswer: l**(385\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 23. Suppose 10 = m*i - 0. Solve -i*p - 2 = -4*a, -3*p - 2*a - 17 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32118372 is divided by 572.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119\/3, -0.08, 2, 56504?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 14, g: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w*w*(w*w*w\/(w**(4\/7)*w))\/w*w))\/(w*w*w*w**15))**16)**(2\/3) assuming w is positive.\nAnswer: w**(-5024\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -b - 0*b - 6, -b = 3*z + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (154\/44)\/((-336)\/528)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 - -2.2. Sort -14, t, 2\/11 in ascending order.\nAnswer: -14, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*v - 5*v - v**4 + 17*v**3 + 2*v**2 + 0*v**2 + 6*v + 11*v**3 as d*v + b*v**2 + t*v**4 + f*v**3 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + n**2\/2 + 9*n - 42. Let i be h(-19). Let a = i + -179. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001682824 to 7 dps.\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9625)\/(-4) + -4*8\/128. Suppose 0 = t + 3*i - l, -4*t + 7194 = -t - 3*i. Suppose -15*g + 3*g + t = 0. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70373*g**3 + 70286*g**2 wrt g?\nAnswer: 422238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = v. Suppose 18 = 9*h - 10*h - 5*d, -2*d = h + 6. Suppose 0 = -2*f - i + 54, -4*f - 3*i = i - 116. Solve h*s + f = -v*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*y - 3 + 4 = 0, 10 = 5*y. Is 96\/(-15)*(-4 + b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 + 40.083. Let w = k - 40.0000131. Round w to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**9\/252 - 17*z**6\/60 - 7*z**5\/20 - 3*z**4\/8 - 21*z**2. Find the third derivative of t(r) wrt r.\nAnswer: 240*r**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 14, 23, 36, 53, 74?\n\"Answer: 2*z**2 - z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19231?\nAnswer: 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 130 = 5*w, 0 = -c - 2*w - 5 + 31. Calculate the remainder when c is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 times 0.170926?\nAnswer: -55.721876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433*g = 113*g - 320. Let w be (1\/2)\/(2\/4). Let q be 6\/23*w\/(-3). Is g bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 52*r**2 - 3*r - 2. Is b(-1) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 9*k**2 + 13*k + 116. Let f be u(-9). Let d(z) = z**2 - 7*z - 6. Let n be d(f). Solve -2*q + 9 = -3*v, n*q + 6*v + 12 = 2*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -1.1. Which is the nearest to -1? (a) w (b) 1\/6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -3*x - d, -3*d + d = x - 48. Calculate the remainder when x is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22316251 by 1.\nAnswer: -22316251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzqcqcqwzucw. What is prob of picking 1 w and 2 z?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 3, -0.14, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 10*p - p)*(12*p - 13*p - 31*p) to the form j*p + b + i*p**2 and give i.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.18 - -30410.\nAnswer: 30411.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 0, -16*u + 15 = 3*o - 19*u. Solve 0*x = -x - o*i - 1, 3*x - 2*i = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w\/((w*w**(6\/5))\/w)*w))*w*w**(-2\/13))**(-8\/9)\/((w*w**5*w)**(-2\/51))**(-4) assuming w is positive.\nAnswer: w**(-14384\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207294959 or -207294960?\nAnswer: -207294960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 18*h**2 - 8*h + 49. Calculate k(-21).\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951*o + 394*o - 4830*o - 1335*o.\nAnswer: -6722*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 15. Let x be r(7). Suppose x*g - 3 = 13. Solve -2*w = 2*f - 8, 4*w - 2*f - 3*f + g = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-50)\/15)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 1 + 6 = 0. Let m be ((-1*(2 - 14))\/h)\/2. What is the greatest common divisor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - 23) + 40 + 24.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.13 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q. Let d be h(-3). Solve -d*g + 8 = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 231*z - 2. Let v(i) = -5*i**2 - 231*i - 2. Determine -2*u(b) + 3*v(b).\nAnswer: -b**2 - 231*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/9 and -45\/1873.\nAnswer: 16857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126073 and 417?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 1, u: 2}. Give prob of sequence cc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 2*q - 6. Let b be r(3). Let p(h) = 42*h**3 + 2*h**2 + 2*h. Let l be p(-1). Let g = b + l. Let x(u) = u. Give x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22*p + p - 22*p - 1 + 3*p**4 + 181*p**2 to v*p**2 + o + r*p**4 + d*p + h*p**3 and give v.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 + -8 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 19*o + 91. Calculate c(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2411*u + 951*u + 1055*u - 8505 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 16. Let n be r(-13). Let q be (-24)\/40 + n\/10. Suppose -q*d = 3*u + u - 107, 0 = -5*u - 20. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1853319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 0, 6 = -k - 26*g + 28*g for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = -91*j - 118 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 2.6\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 30 = -2*b. Let r be 1*(1*b)\/3. Suppose 2*m - 2*x - 2*x = 0, -2*x + 4 = 0. Solve -r*f + m + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 13 = 41*g - 46*g, -10 = -5*g + 5*n. Solve 0 = 5*l - 3*l + g*j - 5, -l + 8 = -3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122962 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 + b**5\/30 + 7*b**4\/24 - b**3 + 17*b**2. Calculate x(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3809\/8 - -476. What is the nearest to 1\/2 in h, 2, 3\/8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, -0.5, -2, -2.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c + 56*c + 504 = 0. Suppose 0 = -4*o + 8 + c. Solve -4*d + 5 = -3*k, 5*d + k - 2*k - o = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5.201?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13419 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + i**2 - i + 74. Let s be v(0). Suppose s*u - 4225 = 69*u. 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 remainder when 6\/((-7)\/126*-9) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0) + -3 + (3 - 5). Let c(j) = -j**3 - 5*j**2 - 6*j + 6. Let d be c(y). List the prime factors of (-1)\/(-4)*d*4.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (3 - 819059036\/89907600). Let w = -2\/224769 + y. Calculate the common denominator of w and -13\/3.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4 + 4*h**3 - 27*h**2 + 38*h - 16 = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p**2 + 182*p + 6. Let g(k) = -168*k**2 + 1272*k + 44. Determine 3*g(d) - 22*n(d).\nAnswer: 2*d**2 - 188*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 4*k**3\/3 - k**2\/2 + k - 2. Let u be c(1). Suppose -f + 82 = 3*d, u*f = d + 3*d - 104. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3870 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 16*g + 39. Give j(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -822*m**5 + 51*m**4 - 4*m**3 - m**2 - 4406 wrt m?\nAnswer: -49320*m**2 + 1224*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 88. Suppose 3*y - 19 = -4*t, -2*y - 2*y = -t - m. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 73942100*g - 273371707620500 = 0.\nAnswer: -7394210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -3.97. What is the nearest to 2\/5 in d, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 630\/(-81) + 8 - 17\/36. Let k = 360\/19 + -14646\/779. Sort -0.5, 5, n, k in increasing order.\nAnswer: -0.5, n, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2682528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**3 - 33*f**2 - 41*f**2 - 30*f**2 + 105*f**2. Give v(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97980 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u. Let p(o) = 2*o**3 + o**2 - 6*o + 2. Calculate -4*g(q) + p(q).\nAnswer: 6*q**3 + q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 26 = 25*a - 24*a, -30*l + 25*l + 58 = -3*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 44*a + 115. What is h(15)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9840665.\nAnswer: 5, 23, 85571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (14 + 10 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -8*z**2 + 3*z + 53. Let f be v(0). Solve 5*y = n + 7, f*n + 5 = y + 4*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -48. What is the fourth biggest value in -4, z, 6\/7, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 2*m)*(5 - 8 + 9) + 3*m - 1 + 1.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1900*a**2*n**2 + 3689*a**2*n*u + 1470*a*n**2*u**2 - 3*a*n*u + 2160*u**2 wrt n?\nAnswer: 3800*a**2 + 2940*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1976 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-5)*n)\/n*n*n\/(n\/n**(4\/9)*n))\/(n*(n*n*n*(n\/(n\/((n\/(((n\/((n*n*n**(-2\/3)\/n)\/n))\/n*n)\/n))\/n)))\/n*n)\/n)**(-44))**49)**(-8\/5) assuming n is positive.\nAnswer: n**(-346136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**3 - 7*k**2 + 13*k - 7. Let b(h) = -h**3 + h + 1. Let r(c) = -2*c**2 + 3*c - 3. Let u(a) = b(a) + r(a). Calculate 2*p(x) - 7*u(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/18536097 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*b = 442 + 620 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.4 - -19. Put -3, z, 5 in decreasing order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-2) - (-7 + 8). Is 6\/z*362915\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.1189 (b) 0.3 (c) -0.04 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5923.058 centuries to years.\nAnswer: 592305.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 2*g**5 - 2*g**5 + (3*g**2 - 2*g**2 + g**2)*(2*g**3 - 5*g**3 + g**2 + g**2).\nAnswer: -8*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140.8 - -141. Let p be 2\/20 - (-4)\/10. Is w at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6906328062.7 and -53?\nAnswer: 6906328115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 1, 317 = h - 4*b. Let a = h + -277. Solve 0 = -y - a + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 263*l + 1582. What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72689955589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 6. Let m be g(3). Solve m*n = 1 - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98955, 98830, 98705, 98580?\n\"Answer: -125*l + 99080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:55 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210200021001 - -102?\nAnswer: -210200020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 - 4.379. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -190 - 160. Let m = 83 + a. Calculate the remainder when 21 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 45*u + 58*u - 3 + 17*u**2 - 93*u in the form s + m*u**2 + y*u and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:54 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-300) - 10\/(-15).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + (2 - 0). Suppose -3*u + 10 = r*t + 3*t, t - 6 = -u. Solve -4*l + u = -9*l - 4*z, -20 = 4*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 2. Let v(x) = x**3 - 12*x**2 + 10*x + 12. Let w be v(11). Let j be a(w). Does 5 divide ((-13)\/(-4))\/(j\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 4. Let u(r) = -5*r - 24. Let f(x) = -6*q(x) - u(x). Let a = 7 + -3. Let d(b) = 2*b - b**2 - 6*b + a*b. Calculate d(f(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.79 - -1170715655.\nAnswer: 1170715637.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + 11 + 25356 + -13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -100, -158, -216, -274, -332?\n\"Answer: -58*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/3600 and -19\/12.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -20*t**3 - 21*t - 53. Let a(u) be the third derivative of u**5\/10 + u**3\/3 + u**2. Give -21*a(k) - 2*i(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 2, t: 2, l: 1, v: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1941 = n - 5*f, -5*f + 0 = 10. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.343267 rounded to three dps?\nAnswer: -1.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -576 + 573. What is the third biggest value in 38, -0.01, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323203020 (base 4) in base 3?\nAnswer: -110101120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1333 + 1329)\/(0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 56*g**3 - 60*g**2 + 56*g + 58.\nAnswer: 2*(g - 29)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 55, 63, 89, 139, 219?\n\"Answer: b**3 - 11*b + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1754 - 1090. List the prime factors of v.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:10 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5*m - 40 = 0, 0 = y + 2*m + 46 - 53 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 405*l - 26*l - 116*l as i + y*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - -2*(-3)\/2. Let q be (-28)\/(-12)*(-2)\/o. Let j = -5 - -1. What is the nearest to q in -1\/4, j, 12\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b + 41 = 5*w, -3*w = -3*b - 27. Let n = -4 - b. Suppose 2*g = n, 2*u + 3*u = -5*g. Solve 4 = d - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14752 and 2504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3 + 3. Suppose 5*o - a = 2*a + 44, 4*o + 3*a = 19. Suppose -o*f + 185000 = -r*f. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:59 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4308 = -4*n, -3*n = 4*j - 0*j + 3212. Let h = n + 1627. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.11 (c) -3.844 (d) 0.1 (e) -0.1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2. Let o(g) be the first derivative of g**2\/2 - 5. Calculate q(o(h)).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 + 2*t**3 + 0 - 7*t**3.\nAnswer: -5*t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1266 and 900759.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728858173.\nAnswer: 53, 13752041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvtttgtvt. What is prob of picking 1 t and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 19*p. Let d(j) = 11*j**2 - 8. Let g(m) = -4*m**2 + 3. Let i(l) = -3*d(l) - 8*g(l). Give i(o(v)).\nAnswer: -361*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*x - 733, 3*k + 0*x = -x + 703. Is k a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - f**2 + 567 - 150 - 177.\nAnswer: -f**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51149 take away -9.8?\nAnswer: 9.28851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2414*p - 2256 = 2406*p. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801786389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 975?\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 27*w - 2 - 1 - 5 + 78*w**2. Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2 - 1. Suppose -3*v = 3*t - 24, -4*v + 6*v - 10 = 0. Let c = -1 + t. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q - 2*q. Let t = 8 + q. Solve 3*g - 10 = -g - 3*r, 0 = t*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 4 + 2 + 0*p)*(-124*p**3 + 297*p**3 + 615*p**3)*(1 + 4*p - 1).\nAnswer: -6304*p**5 - 6304*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w + 4. Let m be u(-7). Let v = m + -178\/3. Let o = -2 + 2. Is o != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvuvvuvlvvvv. What is prob of sequence uvu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -11 - (-5 - (-5 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60282, 60197, 59968, 59523, 58790, 57697, 56172?\n\"Answer: -12*y**3 - y + 60295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (115\/30)\/(28\/168). Solve -b*z = 169 - 54 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(0*z - 4*z + 2*z) + (4*z - 2*z - z)*(3 - 3 + 1).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**3 - 5*k**2 + 1. Let n(o) = -4*o**3 + 2*o**2. Let v(f) = -5*n(f) - 3*t(f). Suppose a - 3 = 2. Let w be v(a). Put w, 2, 0 in decreasing order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3450*h**3 - 28*h - 2 + 5*h**4 + 0*h**4 + 3451*h**3 + 12*h**2 - 7*h**4 to y*h**3 + d*h + o + p*h**4 + z*h**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:56 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 1902. Let h be 30\/(-5)*4\/(-8). Suppose -h*r - 2*o + 632 = -o, 3*r - o = b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/103 (b) 3 (c) -4\/7 (d) 1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-30)\/(-36))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-4 - -5))\/((-1)\/(-2)). Suppose -h = -5*c + 20, 2*c = c - i*h - 17. Solve 3*x - 10 = -o, 2*o + c*o - x = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1682035 + -3?\nAnswer: 1682032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12709142, 17, 0.3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 373882?\nAnswer: -2991056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-8)*(-4)\/(-6) + 5. Let k be l\/(-4) + 30\/4 + -1. Suppose 20 = 4*t, -14 = 5*s - k*s - 2*t. Solve -5*c - 5*g = 5, 3*c - s*c = 5*g - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 21.8. Let v be -5*(-4 - 434\/(-105)). Which is the closest to -2\/7? (a) o (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 - -13.858\nAnswer: -44.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 22256282?\nAnswer: 3\/22256282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 5) + 9 + -12 + (-2)\/2. Which is smaller: -11\/2566 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7056048 to two dps.\nAnswer: -3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfggdywlf. Give prob of sequence gww.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g + 2*g + (0 + 0 + 3)*(2*g - g + g) + (-2*g + 0*g + 0*g)*(-3 + 0 + 0).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejjejjjejjj. What is prob of sequence ejej?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29833309.\nAnswer: 11, 2712119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11263 = -5*d + 8437. Let j = -1991 + d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - 5*r**2\/2 - 2*r. Let l be i(5). Suppose l = -3*z - z + 40. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24975 - 0.0172.\nAnswer: 24974.9828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z - 61*z - 3*y = -217, 2*y = -2. What is the smallest common multiple of 14 and z?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s + 5*j, 0*s = -2*s + 2*j + 6. Let u(m) = 39*m**2 + m. Let r be u(1). Let g = -6 - -10. Solve -g*b - r = -5*z, -b + s*z - 9 = 2*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1011\/1672 - -9\/152. Let i = -22 - -16. What is the nearest to 1\/2 in a, -1\/9, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -8. Let i = -4 - o. Let r be 3\/i - 1017\/(-6). Round r to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -109*a**2 + 1143*a - 2524. What is x(7)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715191 - 357614 + 2*p - 357577.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -8. Suppose 0 = 3*m + 8 - a. Suppose 8 = -m*t - 4. Is -2 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -58. Let z(j) = -4*j**2 + 13*j - 13. Let i(m) = -m**2 + 3*m - 3. Let f = -12 + 6. Let w(q) = f*z(q) + l*i(q). Let b(c) = 11*c. Determine w(b(o)).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 - 16*g + 2. Let j be h(-8). Which is the second smallest value? (a) j (b) -0.5 (c) -3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 0 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1085180 + 1204820. Round b to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + 2\/(-16). Let w(f) = f**3 - 3*f + 2. Let l be w(3). Let q = l + -178\/9. Which is the closest to -2? (a) q (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 455370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.624 - 4.436. Let l = a - -4.86. Let q be 1 - 2 - 1\/(-2). What is the nearest to l in -3, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24345986*w**4 - 21325101?\nAnswer: 97383944*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636*1.42.\nAnswer: -903.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3*k**4\/4 + 7*k**3\/3 - 6. What is the third derivative of d(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 8) + (-3 + 6 - 74) + (-208 - -203)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.53 - -31.47. Let b = i - 31.999867. What is b rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3843)\/(-6832)*(-416)\/39?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x - 853*x - 17000 = 909*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1146 and -59\/959775.\nAnswer: 1919550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -0.01\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19216888 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1089800 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 165099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47786552 and -179.\nAnswer: -47786731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/4 + (47 - -73). What is the highest common factor of i and 600?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 1. Let g(h) = -4*h - 5. Calculate -4*g(u) + 18*j(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 4*v + 4. Let s(l) = 5*l**2 - 5*l + 5. Calculate -6*n(i) + 5*s(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 2*r, -4*l - 4*r + 7 = 3. Suppose -2*s - 6 = 2. Let o = -58 + 57. Sort o, l, s in decreasing order.\nAnswer: l, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2652, 2648, 2644, 2640, 2636, 2632?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1112349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 0*r**2 + 3*r**2)*(-1 + 1 - 3*r) - 3*r**3 - 1 + 1 + 0*r**3 + 7*r**3 - r**3 in the form b*r + p*r**3 + d + g*r**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 464781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, p: 2, z: 1}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 117*i**2 - 39*i - 875. Is b(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 3*y - 11. Let h be p(-4). What is the greatest common divisor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43280051656742 and 0.1.\nAnswer: -43280051656741.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121418 less than -4.904168?\nAnswer: 121413.095832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 307*d**2 + 537*d**2 + 1 + 6*d - 1648*d**2 in the form z + g*d + q*d**2 and give q.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -53*j - 307 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 - 80. Suppose 4*l - b = 2*l - x, 5*l = -3*x + 172. What is the first derivative of 3 + 32*p - 8*p**3 - 6*p**3 - l*p wrt p?\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, 0.2, 72 in ascending order.\nAnswer: -3, -2, 0.2, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1816521 + -2?\nAnswer: 181651b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2454 and 11702?\nAnswer: 28716708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-174)\/(-18) - 7)*(-27)\/(-2). Suppose -f - 4*b + 28 = f, -f = -b - 5. Solve y = f*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -25. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2*(-35)\/14. Solve -7*s = -h*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*i**2 + 2*i**4 + 23*i - 34*i**2 + 62*i**2 to f*i**4 + h*i + m + r*i**3 + z*i**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvqv. What is prob of sequence qvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30752, -61078, -91404, -121730, -152056?\n\"Answer: -30326*h - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.04 - 0.04. Let a = -44.0000006 + f. Round a to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 1343\/2607. Let a be -1 - 0 - (-182)\/(-5). Let m = 75\/2 + a. What is the nearest to 1 in x, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443.39 - 442. Let v = 5 - 4.9. Is v at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4*g**3\/3 + 116*g**2 - 3364*g + 91. Solve n(y) = 0 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q + q**2 - 3 + 1 - 5*q**2. What are the prime factors of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.023, -0.5, -5, -89, 0.02, 64?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 13, 0.8, 0.3, 1.4 in descending order.\nAnswer: 13, 1.4, 0.8, 0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 3*l**2 - 3*l + 7. Let q(x) = x**3 + 2*x**2 + x - 3. Calculate 2*g(c) + 5*q(c).\nAnswer: c**3 + 4*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/3 + 14*p**4\/3 - 18*p**3 - 40*p**2\/3 + 181*p\/3 - 34 = 0.\nAnswer: -17, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 7*s - 1. Calculate n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 24. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710400 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15)*-2)\/((-171)\/((-21033)\/(-820))).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -7)*4\/(-24)*42\/(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f + 2995 = 2710 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - 2868462*w**2 + 1371345707574*w.\nAnswer: 3*w*(w - 956154)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3935288 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, -5, 5, -166 in ascending order.\nAnswer: -166, -5, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 5430?\nAnswer: 70590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2548 and 41\/92755.\nAnswer: 18179980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:39 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 1, u: 1}. Give prob of sequence mui.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -415\/66 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -39. Let g = f + -295\/6. Let n = 5.1 + -9.1. Which is the closest to 0? (a) -1 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1083*j**5*q + 15*j**3*q - 17709*j*q wrt j?\nAnswer: 21660*j**3*q + 90*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let r(u) = -8*u**2 + 74. Let c(f) = -17*f**2 + 148. Let s(a) = 6*c(a) - 13*r(a). Determine l(s(d)).\nAnswer: 12*d**4 - 888*d**2 + 16428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, -59, -0.1, -4\/3, -9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-104)*0)\/(2*-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 2043 = -24312. What is the common denominator of (-8)\/((-560)\/m) + 2\/5 and (-20)\/(-3)*11\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 5, -2\/25, -6, -42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 91*p**3 + 8*p**2 - 3*p + 29. Let g(o) = 273*o**3 + 25*o**2 - 10*o + 96. Determine 10*c(v) - 3*g(v).\nAnswer: 91*v**3 + 5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831617 to the power of 1\/2, to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, -0.5, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -13)*(2741 - 2735)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 = 23*f - 893 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2\/3, 2, 0.3, 89 in ascending order.\nAnswer: -34, 0.3, 2\/3, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - -4.8. Let s = 490.4 - 488.4712. Let g = -0.0712 - s. Which is the second smallest value? (a) n (b) -3\/5 (c) g (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*b - b + 26, 2*s = -6. Solve -b*n = -12 + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*d - 591569 + 610775 = 129*d for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 413*a**4*w**3 + 50*a**4 - 2*a**3*w**3 - 3*a**2*w**3 + 3*a**2*w - 206*a*w**3 - a*w - 2*w wrt a?\nAnswer: 9912*a*w**3 + 1200*a - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -15, -0.1, 3.8, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446380 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 378, 749, 1122, 1497, 1874?\n\"Answer: t**2 + 368*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 2, 169, 9, 1 in increasing order.\nAnswer: -10, -1, 1, 2, 9, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 49. Let h(w) = 2*w**2 - w. Let u be h(2). Suppose i = u*i - d. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*2*(-10)\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -1585.9, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-6 - -14) + 0 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5\/4 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 3 + 2*m**3 + 9*m**3 - 217*m - 4*m**3 - 7*m**3 to l + q*m**3 + o*m**2 + r*m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 977*i**2 - 241*i + 977*i**2 + 268*i + 4*i**3 to the form g*i**2 + w*i + r*i**3 + p and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127385, -127372, -127349, -127316?\nAnswer: -127273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 5. Suppose -9*t = 208 + 89. Let w = 33 + t. Solve -x + w*x - k = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + -16 + (0 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/40 - 37*r**5\/60 + 11*r**4\/24 + 8*r**3\/3 - 23*r**2. Let d be m(12). Solve 5*x - d = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223.75 - 228. Let f = 40.05 + q. Round f to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/360 and -13\/162.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/9760 and -83\/2?\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.4 - -67. Which is the second smallest value? (a) t (b) -0.2 (c) 6\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 10}. Give prob of picking 2 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 18. Let y be v(12). Let t(u) = u + 0 - y*u + 3 + 15*u. Let n be t(1). Solve 3*k + s = -4, k - 2*s = -5 + n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 2437 + 2437.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*p. Suppose p + 2 = 2*l. Suppose l*a - 172 = -2*a. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 + 4 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -1 - (35 + -42) - 3 - 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:01 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 - 12.2. Let l be -3 + (-1)\/4*-6. Which is the nearest to 1? (a) l (b) 1.8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041784845 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2887399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -12, -83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 1. Let c(i) = -6*i**3 + 15*i**2 + 15*i + 18. Let r(b) = c(b) - 15*p(b). Differentiate r(h) with respect to h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from okeooorrjrooe.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3981 - 1989 + 5*w - 1992.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:05 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*f = 100*f - 7782 - 3222 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -1\/6*q**3 + 0 - q**2 + 1\/12*q**4 - 4*q. Solve f(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 6*f + 4*f - 2*f in the form n + t*f and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1695.8 + -1693.8. What is the fifth biggest value in -4\/5, 5, 0.5, 130, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + 3 + sqrt(304)*2 + 3 - (-5*(1 + sqrt(304)) + 1*(sqrt(304) + -2)))**2.\nAnswer: 528*sqrt(19) + 11060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12*((-6)\/6)\/(-2))*-54.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 14*n - 777. Let c = n + 40. List the prime factors of c.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 9. What is the remainder when 38 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*l + 1687 - 36981 - 10382 = 1050 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/2))**34\/(((t\/(t*t\/(t**(-2\/5)\/t)*t))\/t)\/((t\/(t\/t**(2\/5)*t))\/t*t)) assuming t is positive.\nAnswer: t**(444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 4*f - 2*q, -5*f + 4*q + 31 - 209 = 0. Let g = 11 - f. Calculate the greatest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 3. Let v(b) = -5*b + 3*b + 2671 - 2673. Calculate -5*v(f) - 2*y(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -131, 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 150 = -116. Let i(n) = 22*n - 7. Calculate the remainder when i(4) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**4 + 875 - 9*f**4 + 5*f**4 - 15*f**4 + 4*f - 60*f**3 - 3*f**4 wrt f.\nAnswer: -84*f**2 - 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -l - 12, 4*r + 14*l - 172 = -188 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 4}. Give prob of picking 2 k and 2 x.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = l - 100 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -252753, -252749, -252743, -252735?\n\"Answer: o**2 + o - 252755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t - 1. Let o be f(-1). Let v be 11 + -8 + 3 + o. Let j(z) = z**3 - 6*z**2 - 4*z + 3. Is 6 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvjb when four letters picked without replacement from mzbmvjzbmvmzzb?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -21 - -67560 - 5\/1. Suppose 56*z - o = 7*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m - 13. Calculate d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-10\/7)*u)*u)\/u)\/u**0*u**(-2)\/((u\/(u**(-13)*u))\/u))**40)**48 assuming u is positive.\nAnswer: u**(-168960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2*m**3\/3 + 5*m**2\/2 - 17. What is n(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -73*a**4\/4 + 154*a**3\/3 - 123. What is the third derivative of u(b) wrt b?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4873765 and 27293084.\nAnswer: 136465420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 + 5*v - 9. Let t(u) = 2*u**2 - 1159. What is d(t(g))?\nAnswer: 20*g**4 - 23170*g**2 + 6710601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 76. Suppose -3*h = -0*h - 18. What is the greatest common divisor of v and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-666)\/(-154) - 18\/99. Let d = -4 + n. What is the second biggest value in d, -0.3, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j + 91*j**4 - 7*j**2 - 47*j**4 - 43*j**4 + 16*j wrt j.\nAnswer: 12*j**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 4, a: 1, k: 1, h: 2}. Give prob of sequence llaz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 - 1508 = -16*j. What is the remainder when j is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 18 - (3 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79\/18 - -62\/9. Put 0.1, k, -3\/5 in descending order.\nAnswer: k, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 3*v + 1. Let d be f(3). Suppose -2*y - d = -135. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 + 1)*(1 - 4 + 1)*(3*u - 2*u - 3*u).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.9 (b) 14 (c) -3\/874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31913\/6 + -5306. Let y = 2186 - 21749\/10. Calculate the common denominator of y and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01151945 rounded to four dps?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 - -4.9. Let d = -34 + 20. Let z = 6 - d. Put p, z, -5 in decreasing order.\nAnswer: z, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r + 78 - 27. Which is greater: r or -70?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/30 - u**4\/6 + u**2\/2 - u. Factor n(h).\nAnswer: (h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -8. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*h, -j - 3*j - h - 15 = 0. Let x be j + 3 - 7*-1. Let a = x + -1. What is the lowest common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168 - (-15 - -23 - 8)) + 24 - -6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -94*n**2\/9 + 1982710*n\/3 + 126556\/9 = 0.\nAnswer: -1\/47, 63278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w - 1. Let i be a(7). Suppose 4*p + i = 2*z, 5*z - p = 87 + 94. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 1 = 0. Sort l, 5, 17 in decreasing order.\nAnswer: 17, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 60*y**2 - 1014*y + 2954. Give h(13).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 4. Let t be s(3). Suppose -3*j = -1 - t. Suppose -1 - 3*f**2 + 3*f**4 - 2*f**j + 2*f + 1 = 0. Calculate f.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*0\/(-1). Let o = -1 - m. Is ((-9)\/6 - o)*-226 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u - 2)*(2*u - 35 + 35) + 41*u - 11*u**2 - 41*u.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:04 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 259421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/23 and 14\/5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 5*(-6)\/(-15). Suppose -j*q + 17 = -31. Solve 5*d = d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/3 - 24*u**4 - 407*u**3\/3 - 244*u**2 - 132*u = 0.\nAnswer: -66, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -99, -223, -387, -585?\n\"Answer: g**3 - 29*g**2 + 2*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/30 - 5*h**4\/4 + 10*h**3 + 6. Let j(b) be the third derivative of g(b). What is the derivative of j(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-10019\nAnswer: -400.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.52 + -55. Let b = i + -0.52. Put b, -4, 1.6, 0.2 in descending order.\nAnswer: 1.6, 0.2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**2 + 11*p + 4. Let x be k(-7). Let s = x - -2012. Is s\/35 + (-1)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n. Let b be a(1). Suppose -4*f = -2*u - b, 15 = 3*f + 2*f. What is the closest to 1 in 3\/8, u, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065 = b + 2*h - 1078, 3*b = 4*h + 9 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24b (base 13) to base 6\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 4*g**2 + 6*g**2)*(0 + g + 0).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.08 (c) -4 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/5*(-10)\/(-3). Suppose 3*f = b + b + x, 4*f - 10 = 2*b. What is the remainder when (-39)\/(-6)*(-8)\/b is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4722, -4775, -4770, -4677, -4466, -4107, -3570, -2825?\n\"Answer: 5*g**3 - g**2 - 85*g - 4641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.552 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -150. What is the third smallest value in -0.4, 5\/26, f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 24*a - 3719994 = 0. Suppose -2*f - q = a, -5*f + 4*q = -f + 1240004. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 433*((-72)\/15 + 5). Let h = -85 + d. What is c in -6\/5*c**2 + h + 0*c - 2\/5*c**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w + 4. Let o be s(-3). Let y be o\/(-4) - (-212)\/44. Let a = y + -19\/4. Sort a, -0.1, -2\/5.\nAnswer: -2\/5, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 6283?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3864)\/96 - ((25\/4)\/(-5) + 22 + -22).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*a = 31739, 81*a - 85*a + 52920 = 5*m. List the prime factors of m.\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11416*g**2 + 2756*g**2 - 3501*g + 3501*g.\nAnswer: 14172*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1687 or 1615?\nAnswer: 1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186542, -186537, -186532, -186527, -186522, -186517?\n\"Answer: 5*d - 186547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57339313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaax when four letters picked without replacement from {x: 2, k: 4, q: 3, a: 4, s: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 12 + 7 = -1, -3*a - 5*p = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/9 + 4*b**4\/9 + 4*b**3\/3 - 32*b**2\/9 - 64*b\/9 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 20 = -24. Suppose j*g - 5*g - 15 = 0. Put g, 1, -1 in decreasing order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 20*g - 34 + 66 - 29.\nAnswer: 20*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-5)*15\/(-3). Let b(n) = -3*n**2 + 2*n**2 + 0*n**2 - 15 + 18*n + o*n. What is the least common multiple of 10 and b(20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = -l, -f + 0*l + 4 = -3*l. Suppose -p = 2*h - h - 20, -2*p = -f*h - 10. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = w, 5*p + 16*w = 20*w + 26. Let x(g) = -28*g**3 + g. Let z be x(1). Let d = z - -43. What is the lowest common multiple of p and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956022362?\nAnswer: 2, 478011181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 2:52 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*g - 2003.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzlzlzzlz. What is prob of picking 2 l and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydmmsdyncdddny. What is prob of picking 2 m, 1 c, and 1 y?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 2, l: 2, z: 1, m: 1}. What is prob of sequence zla?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.256.\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 250*h**2 - 247*h - 41. Calculate u(249).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 9870377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - b - b)*(-2*b**2 - 2*b**2 + 3*b**2) - 4 - 16*b**3 - 80*b**3 + 183*b**3 to the form p + x*b + c*b**3 + r*b**2 and give c.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 51*i = -210303. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24443297.\nAnswer: 17, 1437841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2280\/5700)\/(0 + 14\/20) + (-173)\/(-28).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-28) + (-38)\/(-14). Suppose -1 - w = -r. Suppose -9*p = -r*p - 25. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.12, -4, 1, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -350*n**2 - 1. Let h(s) = 2*s + 44. Let r(j) = -j - 44. Let u(i) = -h(i) - r(i). Determine v(u(l)).\nAnswer: -350*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 97. Let g = 6 - -16. Let i = v + g. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155039710 by 35.\nAnswer: -4429706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, 1, 4\/19, 29, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 5. Let p(d) = -4*d - 14. Let x = 18 - 25. Let f(r) = 8*r + 29. Let g(m) = x*p(m) - 3*f(m). What is 9*b(i) - 4*g(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 37. Let d(k) = -6*k - 36. Let g(u) = -4*d(u) - 3*v(u). Let o be g(-9). Let q(c) = 2*c + 1. Determine q(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322 and 16284.\nAnswer: 113988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**3 + 3*a**2 + 8*a**2 + 2*a**2 + 7*a**2 wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(-1 + (sqrt(2448)*-3*-3 - (4 + sqrt(2448) + -1 + sqrt(2448))))**2.\nAnswer: -2688*sqrt(17) + 479872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 16) to base 13\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 12*i + 186. Let d be g(-21). Let o be (2\/(-44))\/(d\/18). Which is the nearest to 3? (a) 3 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -39, -821, 5, 1 in increasing order.\nAnswer: -821, -39, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1248015 and -67\/988.\nAnswer: 64896780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f = 4*g + g - 5. Calculate the smallest common multiple of (-1)\/(2\/(12\/(-3))) and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24786.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 8 = 0. Let i = o - 7. Sort 0, i, 3 in increasing order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**2 - 587470*l + 40511625 = 0?\nAnswer: 69, 117425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 160, 1413, 3982, 8263, 14652, 23545, 35338, 50427?\n\"Answer: 66*j**3 + 262*j**2 + 5*j - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13144*-2\nAnswer: 26288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 19 = 22*c. Suppose c = -10*m + 8*m - 3*h + 82, 5*m - 4*h - 159 = 0. Which is smaller: 24 or m?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 36*u**4 + 21*u**2 + 9*u. Let t(h) = 9*h**4 + 5*h**2 + 2*h. Let x(r) = 2*s(r) - 9*t(r). Find the third derivative of x(o) wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80.56916 - 260\nAnswer: -179.43084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -812690\nAnswer: 9\/812690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -3*r**6\/14 - 4191*r**5\/140 - 43431*r**4\/28 - 452631*r**3\/14 - 89373*r**2\/7 - 1098*r. Factor h(t).\nAnswer: -3*(t + 31)**3*(15*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334432 is divided by 10737?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 53, 122, 245, 440, 725, 1118, 1637?\nAnswer: 2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 65, 86, 87, 62?\n\"Answer: -r**3 - r**2 + 45*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*0.4.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4490 - 4583. What is the nearest to -0.1 in -0.5, u, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -24*t - 120. Let l be m(-5). Which is the third biggest value? (a) -1 (b) l (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86206 - -2a?\nAnswer: -86187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) -0.3 (b) -53 (c) 2\/5 (d) -4\/9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7422 or 96482\/13?\nAnswer: 7422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25488\/(-128))\/(-27) - 4\/(240\/315).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 99, -1, 70, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1424361207 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -5, -1\/27, 0.3, -17, -1.8, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5330*i + 21247. Give n(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 10. Let p be m(-8). Let c = p - -6. What is the lowest common multiple of 1 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*g**5 - 2*g**2 + 9*g wrt g?\nAnswer: 1980*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.7. Suppose -3*w = 5*t - 2, t = -3*w + 5 + 5. Let s be (-4 + 2 - -2)\/(-1 - t). Put k, 2, s in decreasing order.\nAnswer: 2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + r - 46 = 6*r, -2*h = 2*r + 24. Let u(b) = -b**2 + 1. Let i(o) = -2*o**2 + 2. Let s(m) = h*u(m) + 4*i(m). What is j in s(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 minus 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69184\/(-658))\/(-46)*21\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 609\/6 + (-6)\/4. Suppose -163 - 181 = -w. Let g = -324 + w. What is the highest common factor of f and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21238 and 98.\nAnswer: 148666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1470\/23 - -13071\/184. Find the common denominator of k and -71\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592526 and 6578.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let o(g) be the third derivative of g**5\/15 + 3*g**2. Calculate u(o(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -64, -109, -154?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 3*h - h + 1 + h. Let j be m(5). Calculate the remainder when 26 is divided by 6\/(-9)*3 - j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 18. Let l be k(-6). Let f = 55 + l. Suppose 4*y + z - 3*z = 24, -38 = -4*y - 5*z. Calculate the greatest common divisor of f and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4245035 (base 7) to base 15\nAnswer: a2b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*n - 1008 = -532*n, -2*v = -5*n - 34 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836737?\nAnswer: 7, 262391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 13*n + 2. Let p be c(13). Suppose 3*i = -p*i + 6500000. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(165\/(-10)))\/(-1 + -1). What is the nearest to 0 in z, 4, -8.03, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 21*z + 10 = 0. Which is the second biggest value? (a) 0.5 (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135614*r = 1135839*r - 5625 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/2203 - 138785\/8812. Calculate the common denominator of -99\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11241 and 3238657.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 145. Let f = 33 - 36. Let j be (10 - 7)*(-4)\/f. Calculate the highest common factor of t and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15aa (base 15) to base 9\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 12.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 480*p**4 + 126*p**3 + 30564*p**2 + 77760*p = 0.\nAnswer: -240, -6, -3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3585, -28373, -95661, -226701, -442745, -765045, -1214853?\n\"Answer: -3542*b**3 + 2*b**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-119 - (0 + -1))\/(-1 - -2). Let b = p - -185. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 33 in ascending order.\nAnswer: -5, -4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -202210223 (base 5) in base 13?\nAnswer: -228c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (107 - 103)\/((-51)\/(-3)). Is -0.0194 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 113*g + 12 + 114*g - g**4 - 7*g**3 - 18 + g**2 to s*g**2 + t*g**3 + m + b*g**4 + u*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 + 216. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1443 and 4\/111?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.2. Let j = -1 + 0. Sort j, 0.1, z in decreasing order.\nAnswer: 0.1, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7*d + 7 = -2*d, 0 = 4*h + d - 11. Let p(x) = x + 2. Let q be p(2). Solve 2*n + h*z + z = q, 2*n + z + 5 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 8) to base 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2*z)*((4*z + 4*z - 5*z)*(-120 - 41 - 61) + (2*z - 1 + 1)*(3 + 1 - 2) + 0*z - 2*z + 0*z) in the form g + a*z**2 + k*z and give a.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 238*x - 242*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8 - 5 + 17*i**2 + 13 + 13*i**2. Let t(q) = -q**2 - 8*q - 8. Let z be t(-6). Let v(b) = -z*b**2 - b**2 + b**2 + 3*b**2. What is n(v(x))?\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((184\/(-4692))\/((-3)\/(-108)))\/(-2).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let c(v) = -50*v**3 - v**2 - v - 1. Is c(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-4 + 1 + 6)*(1 - o - 1)*(-431*o**2 - 258*o**2 + 565*o**2 + (-5 + 1 + 1)*(2*o**2 + 2*o**2 - 5*o**2)).\nAnswer: 363*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, n: 4}. Give prob of picking 4 n.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3881*h - 6757*h = 11075*h - 5702*h - 1312902 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69174 divided by 152.\nAnswer: 34587\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + v + 7 + 2*v. Let f be h(-7). Let b(c) = -c**2 + c + 37. Is b(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = -16*a - 4170. Let c = -137 - a. Solve c*m + 0 - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 119, -1, -73\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kkjkkjk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 - 5*w**3 - 3*w**3 + 15*w - 18*w wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 1\/30*l**4 - 1\/30*l**3 - 1\/150*l**6 + 1\/300*l**5 + 0*l + 0 + 4*l**2. Suppose p(b) = 0. What is b?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -1347\/7. Sort i, -6, -2 in descending order.\nAnswer: i, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4)**(-32)\/(u*u*u**(-2\/3)*u*u*u)**(-37))**38 assuming u is positive.\nAnswer: u**(3686\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 32198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-135)\/(-60))\/(1 - (-2)\/(-8)). Suppose 2*f + n*f - 1 = j, j = -f + 23. Calculate the highest common divisor of j and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13347256 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:22 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40704*t**4*v - 3*t**3*v + 2*t**2*v - 14*t**2 + 930*v wrt t?\nAnswer: 976896*t*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3 + 136*p**2 + 11*p + 69. Let s be m(-27). Calculate the greatest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4899845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 0.79?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 1118*d + 240126. What is y(290)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -372493658*h**3 - 439878604*h wrt h?\nAnswer: -2234961948*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 8. Suppose -13 - 27 = -y*b. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: In base 2, what is -11110011 + -11111101?\nAnswer: -111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {k: 5, q: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101001000011 - -10100111?\nAnswer: 1101101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 6:27 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*14\/(-252) + -1 + 15\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:04 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(8\/28))\/(-7 - -6). Suppose -6 = -3*g - 0*g. Suppose -85 = g*a - 7*a. Solve i - 2*n - b = -3, -i - 5*n = a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/796 and 79\/4.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 2*y + 0*y - 3 + 2 + 3*y. Suppose 10 = 3*l + 2*l. What is the remainder when 21 is divided by n(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2231 (base 5) to base 9\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (53 - 4) - 8.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 0.8829616751.\nAnswer: 6.1170383249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93\/2? (a) -3 (b) 59\/14 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4411 (base 7) to base 12.\nAnswer: -ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/10*(-390)\/9. Let z = 415\/8 + b. Suppose 0 = -p + 4*o + 15, -5*p - o - o - 13 = 0. Is z at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-102)*(360\/425)\/(-24)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/355993262 and 56\/28869.\nAnswer: 1067979786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5232*t + 2120 = 5272*t. Solve -546 = -t*w - 175 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o**3 - 14*o**3 + 98*o**4)*(-4 + 2 + 1).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28880201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15717901 is divided by 129900.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*b + 667*b = 2668 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Suppose 356*p = 1213 - 25 + 236. Sort 5, p, f, 2 in decreasing order.\nAnswer: 5, p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7273, 7391, 7563, 7777, 8021, 8283?\nAnswer: 8551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/4 - 7*n**3 - 61*n**2 - 168*n - 144 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 + (-52)\/(-14). Suppose -r - g*r + 95 = 0. Calculate the greatest common divisor of r and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023372 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Let q = -7 + 7.05. Let f = -0.15 - q. Which is the smallest value? (a) w (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(1\/(-3))\/(6582\/9). Let o = 2228\/18649 - s. Let h = 4.08 + -0.08. Which is the closest to 0.1? (a) o (b) h (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 35, 48, 61, 74?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)\/n**(-1))\/(n**(4\/3)*n**5))**(-41) assuming n is positive.\nAnswer: n**(902\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-26)\/(-6))\/((-90)\/(-1080)) is divided by (0 + -19)*(1 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21714 and 227997.\nAnswer: 455994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 95785 = -95769 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1136.87 and -1.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/((((-750)\/40)\/(-75))\/((-2)\/(-16)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(550)*-4)\/(sqrt(2156) - (sqrt(2156) - sqrt(2156)*-2))*-6.\nAnswer: 60*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 337*t + 2359. Calculate a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 38*v + 512. What is h(-33)?\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135814 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8833 in 0, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1415 (b) -500 (c) 6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let a be -6*j\/(-3)*1. Find the first derivative of -a*r**3 + 0*r**3 + 6 + r**3 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/20 - p**4\/3 + p**3\/3 + p**2 + 27*p. Let n = -6 - -9. Determine t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 398475 = 30*p - 0*p. Is p a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(-5\/8))**(-3) assuming d is positive.\nAnswer: d**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16920 - 7616. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 20, 73, 178, 353, 616, 985, 1478?\n\"Answer: 3*v**3 - v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(9 + 47916\/2592) - 1\/18?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**4 - 4 + 4)*(-a - 3*a - a).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let m(p) = 58*p + 22. Let f(l) = -29*l - 12. Let o(n) = -11*f(n) - 6*m(n). Calculate o(c(v)).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 237 - 197. What is the least common multiple of 36 and v?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -37*i + 34*i - 3*m, 3*m = 5*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*z = -8, -3*u + 5 - 11 = -3*z. Is -1\/22 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 191*l**2.\nAnswer: -191*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + t = -4*y - 85, 0 = 5*y + 2*t - 418. Let x = y + -60. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from gcffgfffcff?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71\/116 - -4\/29. Let y = 16 + -19. Let h = 1 + y. What is the smallest value in h, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 4284 = 16*b. Let v = 470 + b. Which is bigger: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzaazu. What is prob of sequence aauw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -313, -322, -331?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + m - 67. Let w(p) = -7*p**2 + 2*p - 132. Calculate 9*s(t) - 4*w(t).\nAnswer: t**2 + t - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 352*v**4 + 7648*v**3 + 40936*v**2 + 60316*v + 26680 = 0.\nAnswer: -58, -23, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let g(x) = 30 + 66 + 100 + 2*x. Calculate g(v(l)).\nAnswer: 2*l + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*c + 4 - 4 + 2*c**3.\nAnswer: 2*c**3 + 113*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 13*s**3 - 89*s**2 + s**3 + 40*s**2 - 8*s**3 + 49*s**2.\nAnswer: 6*s**3 - 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -289*x**2 + 10680*x + 487. What is m(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a629 (base 12) to base 4.\nAnswer: -3010310001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 275, 2244, 7589, 17996, 35151?\n\"Answer: 281*r**3 + 2*r**2 - 4*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6515, -6449, -6381, -6311, -6239, -6165?\nAnswer: -6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 19*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 476*d + 352 - 1780. Solve -5*f = -d*s + 6*s + 28, -s - f - 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -81*d. Let c(m) = -12011245*m. Give c(r(w)).\nAnswer: 972910845*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 27. Let i(k) = -2*k + 40. Give 5*i(o) - 7*s(o).\nAnswer: -3*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 501843*k**2 + 2350932*k + 2753292 = 0.\nAnswer: -958\/409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4325538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 846 and 1002510.\nAnswer: 1002510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.175 + -2792577574.\nAnswer: -2792577573.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v**3 + 51*v**2 + 8*v - 18. Let f(u) = -4*u**3 + 17*u**2 + 3*u - 7. Let t(i) = 8*f(i) - 3*y(i). Determine t(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*v + 19 = 2*v, 0 = 2*v - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 140?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83061814 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 414849601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 16926.\nAnswer: -16924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/8)\/((-6)\/(-24)). Suppose 7 + 3 = x*p. Suppose -w + 3*w - 2 = k, p*w = -2*k + 14. What is the third biggest value in w, 1\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 - 4102*y + 4102*y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18058201.\nAnswer: 7, 1279, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b22 + -150?\nAnswer: -8c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/(5*(-3)\/(-90)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8 = -63. Calculate the remainder when 49 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.4 (c) -86 (d) -0.5 (e) 0.05 (f) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-1)\/(3650\/(-1216) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4448, 17621, 39496, 70067, 109328, 157273, 213896?\n\"Answer: -q**3 + 4357*q**2 + 109*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let m = -1.53 - 5.17. Let a = m + 5.7. Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/3)\/((w**(-35)\/w)\/w))**(-19\/4) assuming w is positive.\nAnswer: w**(-2261\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71608 is divided by 35647?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14540 divided by 24.\nAnswer: 3635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.09774 - 18.1. Round b to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1380 + -1464. Which is the third smallest value? (a) 0.05 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.092*-749.8\nAnswer: 68.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 20111 = 41*m - 5*t, -4*t + 15082 = -3*m. What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + h = 5, -c + 5*c - 11 = -3*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-16)\/6. Let i(j) = j**3 + 5*j**2 - 6*j + 55. Let g be i(-7). Put -3, r, g in decreasing order.\nAnswer: r, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -22.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/5 + 172196*a**3\/5 + 3234634*a**2 + 379965672*a\/5 = 0?\nAnswer: -86004, -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6487 is divided by 208.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4084 - 10566 = -192*z + 16942 for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -682, 81, 6.\nAnswer: -682, -16, 6, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 631412*y**2 - 412915264*y - 67647528192.\nAnswer: -4*(y + 328)**2*(y + 157197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let j(p) = -471*p. What is a(j(m))?\nAnswer: 942*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:47 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 6)*(208 + 1044*t - 208) in the form j + s*t and give s.\nAnswer: 6264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20\/(-8))\/((-3)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12727846.\nAnswer: 2, 6363923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 2, -6, 3 in descending order.\nAnswer: 3, 2, 0, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27614498797\/3377983638 - 2\/10361913. Let i = -10090022\/489 - -20634. Let r = w - i. What is the common denominator of r and -19\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -20*q**3 - 29*q - 89*q - 3*q**2 + 103*q**2 + 33*q + 20 = 0.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aezzfieaaraazfari. Give prob of picking 2 a and 1 z.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186470 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = 170*z - 168*z, 23 = -5*z + 3. Let 13\/5*m**3 + 13\/5*m**4 + 0 + 3\/5*m**b + 3\/5*m**5 + 0*m = 0. What is m?\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7070\/1054137)\/((-5)\/(-14)))\/(2\/(-3))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 3*n + 5. Suppose -5*t + 56 = 11*t - 2*t. Give v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105165, 210345, 315525?\nAnswer: 420705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.6716 - -29.8. Let j = g - 0.05. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -v - 12, 13 = -4*v + k - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let z be q(1). What is the common denominator of (97\/6)\/z*1 and (2 - (-237)\/(-120))\/(4\/488)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3 - 2 - 3*i**2 + 9 - 7 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -14, -25, -38, -53, -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**2 - l + 3*l - l + 0*l.\nAnswer: -18*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18744916 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24981*s + 10444*s - 35427*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 579*w**2. Let v(f) = -2*f**2 - 3*f. Let a(j) = 13*j**2 + 18*j. Let z(n) = a(n) + 6*v(n). What is m(z(i))?\nAnswer: 579*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + sqrt(700)*-5)*-5 + sqrt(700) + (2 + sqrt(700))*-4 + 2)**2.\nAnswer: -1440*sqrt(7) + 100836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h - 14. Let p be o(-3). Let v(z) = z**2 - z + 19. Let k be v(p). Let q = k - 59. Solve w = 3*w + q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -893\nAnswer: -2589.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41285 + -41277. Put 4, 141\/4, w in ascending order.\nAnswer: 4, w, 141\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13*w - 16032 = 14*w, -r = -5*w - 16028. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -430, -195, 342?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -17. Let u = g + 9. Let j = 41\/4 - 10. What is the closest to 0 in u, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 4*m**2 + 4*m + 5. Let d(x) be the second derivative of x**5\/20 + x**4\/12 - x**3\/6 - 317*x. What is -4*d(u) - o(u)?\nAnswer: u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by ((-1)\/(-1))\/(10\/40).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8067, 8708, 9769, 11250, 13151?\n\"Answer: 210*z**2 + 11*z + 7846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -7. Suppose -13 = -j*k + 3. What is the closest to -3 in 0, k, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/325 and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 91*z - 6. Determine t(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, 8, 0.4, -1, 16.62 in ascending order.\nAnswer: -1, -0.5, 0.4, 5, 8, 16.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 7*s - 10. Find the common denominator of c(-6) and -4 + 3 + (-37)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5*g = 14*c - 130, 134 = 5*c + g. Suppose -c*i = -23*i - 40. Solve 0 = 3*h + k + 15, k + i = -2*h + 3*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/214618365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 5*x + 69. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -1568 - 76. Find the second derivative of 4*x + 822 - 5*x**4 - j wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fykkhfqo. Give prob of picking 1 h, 1 y, and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2089\/18 + -233\/2. Let l = 36.6 + -37. Let g = 1.3 + -1.4. What is the closest to g in 5, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, 5 in increasing order.\nAnswer: -19, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.68 - -40.92. Let w = 46 - a. What is the closest to -0.2 in w, 6, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 - 7*k + 5. Let y be o(-7). Suppose 2*u + 35 = y*r, r - 5*u - 5 = 5*r. What is the tens digit of 13 + 0 - (r - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/30 + (-184)\/560?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1248\/(-1456))\/(4\/(-14)). Find q such that -10\/7*q + 8\/7*q**2 + 6\/7*q**w - 4\/7 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*u + 2*u + 5)*(11 + 3 - 3)*(2*u**2 + 5*u**2 - 5*u**2).\nAnswer: 44*u**3 + 88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 + 12)*(-1 + 3 - 6)*(4*x - x - x) in the form i*x + q and give i.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - a = -3*w - 14, 3*w + 26 = 5*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -678 (b) -2\/7 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10669, -42837, -96491, -171631, -268257?\nAnswer: -386369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-58)\/(-29) - 267*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.4 (c) -19 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -695, -694, -693, -692?\n\"Answer: g - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -74. Let l = -13.1 + 2.1. Let j = l - q. Which is the second smallest value? (a) 2 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-918)\/36)\/(-17)*-62*1\/(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -37?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64663263*f**5 + 2*f**3*s - 3110*f*s - 6342*f wrt f?\nAnswer: -1293265260*f**3 + 12*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 9. Let j be m(6). Solve -3*b - b = -5*d - 12, -d - 5*b + j = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/((1899\/404)\/1). Let s = 2\/211 - a. Factor -2\/9*o**2 + 0*o - s*o**3 + 0.\nAnswer: -2*o**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (-2*sqrt(396)*-6)**2) + -2*(sqrt(396)*-2 - sqrt(396) - sqrt(396)))*-5.\nAnswer: -270*sqrt(11) + 285120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 21*i**2 + 54*i - 34. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22338452.7ns to days.\nAnswer: 0.00000025854690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, f: 1, b: 1, k: 1}. Give prob of sequence eb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.14\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 10*h**2 + h - 1. Let m be r(-4). Is m >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-195))\/((-608)\/(-1976))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, m: 2, e: 3}. What is prob of sequence em?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*j + 19 - 7, -5*j + 3*l = 14. Let u = j + 8. Solve -4 = 4*w - 4*b, 0 = 4*w - 3*w + u*b + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14842 + 1222 = 502*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + 4*3*sqrt(704) - (sqrt(704) + 2*(sqrt(704) + 1 - sqrt(704)) + sqrt(704) - sqrt(704)*-1*5)))**2.\nAnswer: 480*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 34*b**2 + 4*b + 119. Determine m(-34).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 221, -0.3, -0.5, -0.02, 6\/19, 5?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -23284175487.\nAnswer: -23284175492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*t = -7188, -2*t - 17976 = -3*o - 2*o. Suppose 3*r - 8*r - 887 = -b, o = 4*b - 4*r. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2 (b) -5 (c) 0.5 (d) -1470 (e) -34 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28526932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*j*m*o**2 - 1274*j*m - 2*j*o**2 + 962*m*o**2 - 3*m + 3*o**2 + 7*o - 3 with respect to j.\nAnswer: 269*m*o**2 - 1274*m - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-2)*(11 - (-61)\/(-5)). List the prime factors of ((-1318)\/t)\/2 - (-10)\/(-45).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515502?\nAnswer: 2, 757751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32660)\/680 - (16 + -64).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/9 - 26*g**2\/9 + 136*g\/9 = 0?\nAnswer: -17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5255b4 - 2?\nAnswer: 5255b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + 2*r + 1. Determine q(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 128\/15*m**3 + 0 + 1\/10*m**4 - 43\/5*m**2 - 95*m. Solve r(n) = 0.\nAnswer: -43, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 - -314.3. Let t = 1035\/2 + -520. Sort t, y, 2 in descending order.\nAnswer: 2, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -261, -55, 411?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3. Suppose 9*z - 10*z = 1. Let o(c) = -c**2 - 1. What is z*u(l) - 3*o(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5. Suppose 2*s = 5 + 5. Suppose s = -5*o + 50. Let h be t(o). Let l(c) = c**2 + 4*c - 2. Give l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 9. Let q be l(4). Find the common denominator of (-686)\/(-112) - 2\/(-1) and 52\/q + (-1 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Let k = -64 + 73. Let v be n(k). Put 2, 1, -4, v in increasing order.\nAnswer: v, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331911092 is divided by 1385.\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 27\/6)*10. Let a(i) = 9*i**2 - 5*i + 5. Let b(o) = 8*o**2 - 4*o + 4. Give v*b(j) - 4*a(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*j - 15, 2*j - j + 3 = 0. Suppose f*c - c = -1. Is 5 a factor of (5\/3)\/(c\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 28\/21*(-6)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3168)\/(-187) + -6 + -11. What is the nearest to -2 in 1, -4, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.060723 and 0.2.\nAnswer: 0.260723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/12)\/((-72)\/((-132)\/(-11)))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -20 - ((1 - -1) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*i**3 - 21 - 129*i**3 + 22 + 2*i + i**2 in the form a*i**2 + n*i + l + o*i**3 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -51. What is the smallest common multiple of 20 + 3\/((-9)\/(-6)) and -1*(5 - 0)*n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 46*z - 17)*(2*z - z - 2*z + 2)*(3 - 8 + 2)*(0 + 2 + 0).\nAnswer: 276*z**2 - 552*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163)\/(-182560)*910*4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 10 = -2*n, u - 6 = 2*n. Suppose 3*i - 12 = -6. Let a(x) = -4*x + 4*x**2 - 3*x**2 + 0*x**i. Let z(p) = -p. Calculate u*z(m) - a(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*b + 381*b - 8992 = 764*b. Is -309 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9132 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/105 and -107\/1633440.\nAnswer: 11434080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z + 31. Let l be q(-3). Let k(n) = -42*n + 6. Let v be k(l). Round v to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/178 and 15\/22.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70511 is divided by 5399?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -295104*k**2 + 295110*k. Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.8 + -4.2. Let i = -16 - v. Let p = -7 + 12. Which is the second smallest value? (a) i (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 5, 4, -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137373?\nAnswer: 3, 29, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*r = 35. Let l(d) = -2*d + 2. Let a be l(-9). Let k be (-6)\/(-12)*8 - 6. Put -3, k, r, a in decreasing order.\nAnswer: a, r, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19506677 = -2*x + 5*a + 7872520, -3*a + 27379205 = 2*x. Let l = x - 23076333. Let f = -23486732 - l. Round f to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 20. Suppose y - 82 - 1285 = v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1627031\/498 + 1076\/83. Let f = -3242 - t. Calculate the common denominator of -17\/20 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let w(f) = 116881*f**2. What is l(w(g))?\nAnswer: 233762*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5061*q - 840 = 5117*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/(32\/384*-2). Solve 4*q = -5*w + 35, 0 = z*w - 3*q + 5*q - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1729 divided by 73\nAnswer: -1729\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50904723 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 336, 319, 302, 285, 268?\n\"Answer: -17*a + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 468*m**2*x + 8*x - 24 wrt m?\nAnswer: 936*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 10*l + 16. Let r(b) be the third derivative of b**4\/12 + b**2. Let y(s) = -s**2 + s. Suppose 3*w = -1 + 4. What is l*r(c) + w*y(c)?\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6559375 and 4198?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 59. Let y be -5 - (0 - 2)*5\/(-5). Let x be t(y). What is the greatest common divisor of x and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -652 - -652.000638. Let t = 0.0004 + f. Round t to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 6 + 6 + (-2 - 4 + 5)*(-5*q + 3*q - q))*((-1 + 5 - 5)*(-q + 0*q + 3*q) + 3 + q - 3).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 477914 + -2.2.\nAnswer: 477911.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1)*m)\/m**(2\/11))\/(m**3\/(m\/m**(-1\/7)*m)))\/((m\/m**3*m*m\/m**(6\/5))\/(m**(-6)*m*m*m**(-2\/13))) assuming m is positive.\nAnswer: m**(-19984\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 59 + 5*k - 37)*(-k + 0*k + 2*k)*(-2 + 3 - 2)*(4 + 0 - 2).\nAnswer: -10*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Suppose -4*z - 4*s - 8 = 0, -5*z - 5*s = -z + 9. Let y(h) = 5*h + 5. Let w(j) = z*y(j) + 3*m(j). Suppose 3*o = 6 - 15. Determine w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 43*g**3 + 6*g**2 + 12*g - 22. What are the prime factors of d(4)?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 245, 242, 239?\n\"Answer: -3*z + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/15 - 86*w**3\/15 - 394*w**2\/15 - 538*w\/15 - 76\/5 = 0. What is w?\nAnswer: -38, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 10*q**2 - 5*q + 10. Let o be f(-10). Let v be (o\/8 - -2)*2. Let z = v - 13. Solve -5*n + 5 = -z*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/53317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -69040176 * 1\nAnswer: -69040176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -22, -28, -34, -40, -46?\n\"Answer: -6*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y + 2*y)*(-4 - 2 + 5)*(7 + 6 - 10) to t*y + a and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5795 + -2510. Calculate the greatest common factor of 45 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/3)\/w**19*(w**(-3\/46)*w)\/(w**(1\/3)\/w*w) assuming w is positive.\nAnswer: w**(-2999\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903915 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8.6 * -0.1\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 5*l + 5. List the prime factors of o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 1. Let t = 11 - 9. Let s be r(t). Let h = s + 23. Calculate the highest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 - i + 1. Let p(q) = -7*q**3 - 4*q**2 + 7*q + 4. Let b(c) = -4*j(c) + p(c). Find the second derivative of b(o) wrt o.\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35630 * 10\nAnswer: -356300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q)**28\/(q**(-3))**(-3\/17))**(-16) assuming q is positive.\nAnswer: q**(11568\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 412.7194 - 366.72041. Let i = 46 - m. Round i to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (50\/15)\/(2\/3). Let n = -44 - -40. Let j = 4 + 3. Put n, j, a in descending order.\nAnswer: j, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51178426147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.3. Let r = o - 0.7. Let y = 0.04 - 0.54. Sort -1\/4, r, y.\nAnswer: r, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = 5*d, -2*f - 7 = -15. Let p be (d\/5)\/(-1 + 92\/20). Let w = 2.3 - 3. Is w equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9) + 5 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6329 is divided by 2137?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 59*f - 283. Let h be y(5). Suppose -3*g + h*g = 2223. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 4*h - 2, 4*o = -43*h + 42*h + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3489625 and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h**5 + 13*h**5 - 43*h**5 + (2*h**2 - h + h)*(-6 - 7*h**3 + 6) + (2*h**3 + 2*h**3 - 3*h**3)*(-4*h**2 + 0*h**2 + 5*h**2).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Suppose -10 = 2*a - 7*a. Suppose 0 = g + 4*m + 14, m + a = -3*g - m. Let l(y) = y**g + 41*y - 41*y. Calculate r(l(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24102242 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.52 + 0.52. What is the smallest value in w, 0.4, 18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + p**2 - p**2)*(-36*p - 89 + 89).\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 3 + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = -4. Let p(m) = 14*m + 30690*m**3 - m**2 - 31*m + 2 + 5560*m**3 + 18*m. Let a be p(o). What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**2 + 16*x**2 - 2 + 2*x**4 + 32*x + 3 + x**2 in the form n + a*x**2 + o*x + v*x**3 + i*x**4 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.3789423 and 2.01.\nAnswer: -3.3689423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279100.\nAnswer: 2, 5, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 181, 1\/3402?\nAnswer: 1\/3402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 3. Suppose -20*v + t = -22*v + 20, 3*v - 4*t = 63. Does 2 divide (-270)\/(-8) + v\/4 + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1176 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 4*a + 5 = -7*x, 0 = -x - 3*a - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + t = -14, -m - 5 - 7 = -4*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqdkmmmmmqmmmkmmmemd. Give prob of sequence med.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1320626*i**2 - 2*i - 1 + 190*i**3 + 265*i**3 - 1320628*i**2 in the form r*i**3 + v + q*i + b*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*h + 0 + 284*h + 4 + 64*h**3.\nAnswer: 64*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - m)*(-6*m + m + 4*m) + 8*m**2 - 9*m**2 + 16*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.2 (c) -0.7 (d) -2\/7 (e) -97 (f) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*n + 171*n + 8*n**2 - 2*n**2 + n - n + (5*n - 3*n - 4*n)*(0*n + 0*n + n))*(-5 + 1 + 1).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4846, -19420, -43724, -77764, -121546, -175076, -238360?\nAnswer: -311404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(684)*-3 + 3.\nAnswer: 3 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 96*d**2 + 4*d + 9. Let u(h) = 48*h**2 + 2*h + 4. Let j(m) = 5*u(m) - 2*w(m). List the prime factors of j(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:47 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b - 1. Let w(z) = -3*z**2 - 4*z + 8. Let y(p) = 2*t(p) + w(p). Suppose -v + 1 = 6. What are the prime factors of y(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50850 rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.445923 months in years?\nAnswer: 0.78716025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 160, 382, 704, 1132, 1672?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 1}. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and 62\/1629.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389718 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-3 + 2 + 0)*(-7*t**3 + 8*t**3 + 6*t**3).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -2\/7, -264\/139, -0.1, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + q = -p - 158, -109 = 5*p - 2*q - 368 - 136 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 13*q + 2130 = 0. Solve q*g - 138*g - 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*u**2 + 6*u**2 - 22*u**2)*(2 - 3 + 3)*(-2*u**3 - 2*u**2 + 2*u**2).\nAnswer: 140*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1278, -1124, -868, -510, -50?\n\"Answer: 51*a**2 + a - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -75. Is (666\/d)\/(1\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 154. Let d = i + -197. Let r = d + 158. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2310211111 (base 4) to base 3\nAnswer: 1101120122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -10 + (3 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) - 4*sqrt(44)) + (sqrt(99) - (sqrt(99) + 2))**2.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - c - 171, -14908*c - 186 = 4*b - 14910*c for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and -0.166.\nAnswer: -18.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - 4 - 8 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. Let g be n(-4). Let m be (-19)\/10 - (-4)\/10. Let l be 85\/(-35) + -1 + 4. What is the nearest to g in -2, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5788 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/50*-5*(-20)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0 + 1\/21*l**3 - 1\/2*l**2 + 1\/84*l**4 + 2*l - 1\/35*l**5. Let t(p) be the first derivative of v(p). What is r in t(r) = 0?\nAnswer: -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -29) + (-1 - (2 + -2 + 4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -15?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/1 + -3 - 2. Let u(l) = 145*l**3 - 11*l**2 - 9*l + 10. Let r be u(i). What is r rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98*383\nAnswer: 37534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2766670 to the nearest 10000.\nAnswer: 2770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 45 + 49. Solve -2*n = u - 3, -3*u - 1 + c = -2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -32*p - 1276\/5 - 4\/5*p**2 = 0.\nAnswer: -29, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 10 - 20 - 39*q + 45 - 9.\nAnswer: -39*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*g + 55, 4*d + 2*g - 34 = 30. Let z = 31270 - 31270.5. Sort d, z, 0 in descending order.\nAnswer: d, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.73 rounded to 0 decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/124 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g - 9. Let s be f(5). Suppose c + 2 = s. Solve -c*y - 7 = 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -967680, -1935348, -2903004, -3870648?\nAnswer: -4838280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1612 - 1612.739. Let n = 0.239 + l. Let g = 4.08 - 0.08. What is the second biggest value in 4\/5, -1, g, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 391123657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:20 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -141. Suppose -4*b = 12 - c. Solve 0 = -b*j - 7 + 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*w + 4 = 0, 0 = 3*z + 5*w + 2 + 9. Suppose -z*c + c + 50 = 0. Calculate the highest common divisor of 225 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/35)\/((12\/(-28))\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2785180643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, g: 2, w: 5, v: 8}. What is prob of sequence qdg?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74901 + -74897.4503. What is u rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 250.\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7295 bigger than -1930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808288423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 2:51 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/96*2\/10*4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 399148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653608.\nAnswer: 2, 7, 53, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**7\/210 + v**5\/20 - v**4\/24 + 35*v**3\/3 + 18. Let r(z) be the third derivative of h(z). List the prime factors of r(-4).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119847 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 178. Let w = 39 - n. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/43644978 and -37\/33228.\nAnswer: 87289956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 - -106. Let a = u + 102. Solve 0*i - a*i + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28620, 28619, 28618, 28617, 28616?\n\"Answer: -h + 28621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -579 divided by 73\nAnswer: -579\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2083 divided by 5734\nAnswer: 2083\/5734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8709, 17523, 26339, 35157, 43977?\n\"Answer: s**2 + 8811*s - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 8*l + 24. Give j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374*k**4 - 1715*k.\nAnswer: 4488*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 18322 + 7760. Let f = k + 52051\/6. Calculate the common denominator of 101\/14 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -223302 and -0.112528145.\nAnswer: -223302.112528145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -8. Let f = 31 + w. Suppose -3*c + 4*t + 44 = c, 5*c - f = t. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 7. Let k be v(5). Let j be 0 - -4 - 0\/k. Does 13 divide (4\/(-5))\/(j\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2215 and 6035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + (-24)\/104. Let x be 202\/364 - (-3)\/6. Let h = x - v. Is h equal to -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**15)\/x)**26*x**14\/(x\/x**(-20)) assuming x is positive.\nAnswer: x**(-371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*v - t, -7*t = -v - 3*t - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (1 - (0 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-30 - -43) - (-1 + 12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11401 is divided by 5697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3341?\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 44*k + 76 = 0. What is the smallest common multiple of 222 and k?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -0.19 (c) 5 (d) -8 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*g + 7*d + 253, 4*g - 2490 = 2*d - 2420 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15597, -30558, -45519?\n\"Answer: -14961*j - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*w - 36 = -62*w. Let y be 60\/w*3\/2. Suppose u - 20 = -3*u - 4*q, y*q - 22 = -4*u. Solve -8*j + 14 = -u*i - 4*j, 2*i = -4*j + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = h + 3*c - 14, -c + 4 = 0. Let a = h + 32. Suppose m - 4*j = 80 - 66, -5*j + 5 = m. What is the highest common factor of m and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24334 - 993.27.\nAnswer: 23340.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*g, -34*g + 3*k - 10 = -33*g. Suppose -g*p + 258 = o - 4*p, 0 = -2*p. What is the remainder when o is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - (9 + 52) - (0 + 14 - (-7 + 10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1158, 1 in decreasing order.\nAnswer: 1, -6, -1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -127 * -46\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115 in 1\/4, 0.18, -8, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -541152, -541005, -540860, -540717, -540576?\n\"Answer: -y**2 + 150*y - 541301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831622957.\nAnswer: 11, 31, 221707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/12 - 3*c**2 - 6. Let v(o) be the second derivative of w(o). Let i(l) = 2*l. Give i(v(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1680030 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.569512 to three dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 18*v + 0*v**5 + 1\/6*v**4 + v**2 + 0 - 3\/10*v**6 - v**3. Find the second derivative of y(o) wrt o.\nAnswer: -108*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:53 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(377051*w - 3*w**2 + 191 - 377051*w).\nAnswer: -3*w**2 + 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 3, -4 in descending order.\nAnswer: 5, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/360)\/((-7)\/(-42)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203\/3 - -67. Let o = 1982\/11 + -180. Which is the nearest to d? (a) -4 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 a when three letters picked without replacement from afrffarnffar.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 3*c**2 + 2 - 24*c**4 + 41*c**4 - 19*c**4 to the form t*c**3 + n + d*c**2 + o*c**4 + f*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (4 + 6 + 0)*(-3 + 2 - 33))*(-2*o**2 + 6*o**3 + 2*o**2).\nAnswer: -2046*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -149*g**5\/30 + g**3 + 282*g**2. What is the first derivative of h(w) wrt w?\nAnswer: -596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*t + 10, -24*s = -29*s + 2*t + 25 + 6 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-16)*(-1708)\/(-549)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151 - 81 + 0*w**2 - 4*w**2 to o*w**2 + k*w + y and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((16 - 10) + -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3395 is divided by 55.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 217*b + 2. Let s(w) = 325*w + 3. Let r(k) = -6*m(k) + 4*s(k). Let o(a) = 964*a**2. Determine o(r(p)).\nAnswer: 3856*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 - 920 + 3*u**3 - 710 + 2*u**3.\nAnswer: -3*u**3 - 1630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 37. Let l(b) = 4*b - 74. Give 3*l(q) + 5*r(q).\nAnswer: 2*q - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174728?\nAnswer: 2, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 226 + 509 = -221. Let x be (-1 - -7)*28\/6. Calculate the greatest common factor of o and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288.895 to the nearest ten.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 2.51. Let l = 1.2 + w. Let f(v) = -v**3 - 4*v**2. Let u be f(-4). What is the closest to u in l, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 90 - 50*k + 32*k + 90.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -31, -2\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:42 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 0.04. What is o rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4586 + 2446. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + (6 - 0 - (1 + -4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -118452*w**2 - 206028*w**2 - 22497280*w - 119*w**3 - 539245209 - 1961*w**3 - 45684071 - 5*w**4 = 0. Calculate w.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/6 - 380*r**2\/3 + 145157*r\/6 - 143641\/3 = 0 for r.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 193398 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 96*w - 12. Let t(f) = 8*f - 1. Let g(s) = -12*t(s) + y(s). Let d(j) = -j + 1. What is g(d(l))?\nAnswer: 2*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 2055*u**2 + 178779*u - 180831.\nAnswer: -3*(u - 763)*(u - 1)*(u + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 4, j: 4, n: 2, s: 8}. Give prob of sequence sr.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 + -289.9. Which is the biggest value? (a) p (b) 0.02 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 39163392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207 - 195. Suppose -2*m - 17 = 15. Does 7 divide -15*(m\/x - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745174, 745268, 745364, 745462?\nAnswer: 745562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - 2*s + 13. Calculate m(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/8, -4, 0.104, 0.5, -3 in descending order.\nAnswer: 0.5, 0.104, -1\/8, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -59*(3 + 1 + -7 - -4). Suppose -5*n - 1890 = -0*n. Let c = v - n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4747 + 4322. Let v(u) = 126*u + 8. Let b be v(6). Let d = b + s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-124)\/(3\/12 + 165\/(-564)). Suppose -2*u + b = -0*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-72)\/(-28))*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*u + 9 - u**2 - 62*u + (0 - 1 + 2)*(2 + 2*u**2 - 2) as b*u**2 + d + v*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 7)*(0 + 0 - 2*z) - 42*z - 83*z + 176*z)*(-252*z + 129*z + 124*z - 11).\nAnswer: 53*z**2 - 583*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -14519?\nAnswer: -14523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 165?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 186. Suppose 5*p + 1112 = -y*w + 3207, -1261 = -3*p - w. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - 4) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**2. Let a(x) = 6*x - 1. Calculate a(k(n)).\nAnswer: 138*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 246600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 83254825?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 84 = 72. What is the third derivative of 40*l**5 - l**5 - 75*l**5 + p*l**2 wrt l?\nAnswer: -2160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, r: 9}. What is prob of picking 3 u?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**3\/9 - 18*l**2 + 104*l\/9 + 10\/3.\nAnswer: 2*(l - 5)*(l - 1)*(14*l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c - 10. Suppose b = 5*m - 24, -4*m - 4*b = -0*b. Let k be h(m). What is the second derivative of -k*t**4 - 20*t + 12*t + 12*t**4 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-21)*(2 + 0\/1). Let x = -13 - -8. Which is the smallest value? (a) t (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*a = 30, -5*x - 52*a = -48*a - 245. What is the remainder when 70 is divided by (25\/x)\/5 - 402\/(-27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13662)\/5343 - 2)\/10. Let s = p - 4\/685. Let h be 1\/2*(-12)\/6. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -394 + 579. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225090 by -37515.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p + 149*p + 4275 = -124*p - 18125 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 501997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t**1*t))\/t)\/t)**37)**(-4\/5) assuming t is positive.\nAnswer: t**(592\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 151 - -1f0?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 29. Let s(a) = -a - 31. Let q be s(-17). Let u be l(q). Suppose -3*y + 18 = -0*y. Solve c - y*c = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120032044 (base 5) to base 11.\nAnswer: 345543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2 - 1 - -102. Let h = d - 61. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 44 - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7220*p + 86642. Determine z(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**2 + 0 - 1\/2*y**3 - y. Let c(g) = -g**2. Calculate c(v(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436295.\nAnswer: 5, 71, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Suppose -x + 0 = -5*j. Let z(h) = h + 3*h + 1 - j. Let s(n) = n. Give z(s(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7586975.\nAnswer: -2\/7586975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/12 and 115\/16152?\nAnswer: 16152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*c**2 + 215*c**2 + 290*c**2 - 713*c**2 - 243*c.\nAnswer: -2*c**2 - 243*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*h = 40, -u + h = 4*h - 17. Suppose 117 = u*s + 17. Let j(g) = s*g - 13 + 4*g - 4*g - 3*g. Let r(l) = -8*l + 6. Determine 6*j(w) + 13*r(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.438 in -2\/31, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(9\/(-26)))\/(8\/12). Suppose -179 = -g*q + 614. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 9. Let n be 15\/(-2) + (-3)\/(-2). Is b(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 115?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2. Let x(c) be the second derivative of -c**4\/12 - 4*c**3\/3 + 3*c**2 - 3*c. Calculate the remainder when p(-5) is divided by x(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-154))\/4)\/((-11589)\/(-84986))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 11\/14, 1, 4, 0.1 in increasing order.\nAnswer: -2, -0.1, 0.1, 11\/14, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:52 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 + 5. Let k be d(0). Suppose k*f - 1063 - 832 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/60*-34 + (-2)\/5. Suppose w = -h, 2*h - 3*h - 75 = -4*s. What is the greatest common factor of 30 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711653, 1423234, 2134815, 2846396, 3557977, 4269558?\nAnswer: 4981139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.956 - 0.044. Which is the nearest to 1? (a) 3 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1543\/85 - 312\/17. Let t = -0.03 - -4.03. Let q = -4.2 + t. Which is the nearest to h? (a) 0.2 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394646640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 4. Let v be m(-6). Suppose v*k - k - 8 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-15 - -5 - -6). Suppose y + 3*k - 91 = a, 0 = 3*y + 3*k - 21 - 246. What is the least common multiple of 72 and y?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:15 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1166014852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 579481, 1158800, 1738123, 2317450, 2896781, 3476116?\n\"Answer: 2*i**2 + 579313*i + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*h**3 - h**2 + 71*h wrt h.\nAnswer: -78*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**3 - a**2 - 2*a - 2. Let s be n(-1). Suppose h - 7 = s*u - 28, 2 = -2*h. Suppose -4*y + 4 = -u. Solve y*q + 4*c = 36 - 8, -25 = -5*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**2 + 6*n + 71. Let q(l) = -41*l**2 - 17*l - 204. Determine 17*b(w) + 6*q(w).\nAnswer: -8*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12162*h**2*n**3 + 79*h**2*n**2 + 769*h**2*n - 2*h**2 + h*n + 3*h + n**2 - 2*n wrt n.\nAnswer: -72972*h**2*n + 158*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2372 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + 147. Let l be 3 + -2 + (m - 5). Solve -3*u = -l*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4233 and -29\/12234947.\nAnswer: 623982297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 3. Let c(a) = -a**3 - 3*a**2 - 4*a - 2. Let u be c(-2). Let b be 0 + -2 + 3 - (u - 7). Determine x(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 955349.9ug?\nAnswer: 0.0000009553499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + 1) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -138771\/38 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 + 2. Let y(r) = -2*r**3 + r**2 - 5. Let g be (-1 + -2 + 5)\/((-7)\/((-126)\/18)). Give g*y(n) + 5*c(n).\nAnswer: n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or 14\/235?\nAnswer: 14\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**4 + n**3 + n + 2. Let l(g) = 151*g**4 + 7*g**3 + 5*g + 9. Let h(i) = 2*l(i) - 14*r(i). Find the second derivative of h(a) wrt a.\nAnswer: 3456*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -42, -4, 161, 3, 5 in ascending order.\nAnswer: -42, -4, -1, 3, 5, 7, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/641599 and 79\/1208.\nAnswer: 5132792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2170.9 smaller than -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + l + 5*l)*(l**3 - 3*l**3 + l**3) + 29*l**2 + l + 3*l**4 + 34*l**2 + 16*l**2.\nAnswer: 2*l**4 + 79*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1054*j**3 - 152*j**2 - 695842 wrt j?\nAnswer: -3162*j**2 - 304*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190765839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 8. Let v be ((-7)\/2)\/(1\/2). Let l(i) = 8020928*i**2 + 3*i**3 + 25 - 8020928*i**2. Give v*y(p) + 2*l(p).\nAnswer: -p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**3 - 5*t**2 + 4. Let p(m) = -29*m**3 + 14*m**2 - 11. Suppose -2*a = 4*n - 46, -5*a + 23 - 62 = -4*n. Determine n*k(i) + 4*p(i).\nAnswer: -6*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 + 1. Let n = 7 + -1. Let i(t) = -2*t**3 + 3*t**2 - 3. Let h = 5799 - 5797. Determine h*i(p) + n*q(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(sqrt(605)*-1*-5 - (3 + 1*sqrt(605) + sqrt(605))))**2*3.\nAnswer: -11088*sqrt(5) + 261948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.87*0.56\nAnswer: -2.1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t + 121*t + 56*t)*(-5*t**3 + 4*t**3 + 21*t**3).\nAnswer: 3260*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 1\/480*m**6 + 1\/80*m**5 + 0 - 1\/6*m**3 + 0*m + 0*m**4 + 3*m**2. Factor t(d).\nAnswer: (d - 1)*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 6*k - 3*k)*(-k**3 + 0*k**3 + 2*k**3) - 13231*k**3 + 13229*k**3 + 26*k**4 + 20*k**4 to q*k**3 + y*k**2 + l*k**4 + s*k + d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gyjygygqyggqygq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2342*z + 22 + 2294*z - 4652*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 4, 497, -459, 0.16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -31.96, -0.1, -1\/2 in descending order.\nAnswer: -0.1, -1\/2, -4\/5, -31.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 1\/4, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/9 - 20*q**2\/9 + 2 = 0 for q.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 145, -1, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:20 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 74*h**2 + h - 1. List the prime factors of d(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-12 - (12 - 17 - 17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + o = -d - 1, 11 = 5*d - 2*o. Let f be 2\/d*(-1)\/(-2). What are the prime factors of (6\/(-5))\/(f\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4 - 56258*a**3 + 239*a**2 - 105.\nAnswer: -48*a - 337548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -109*m - 44 + 281*m + 48. Let t be g(1). What is the highest common divisor of 44 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*4\/(-8) + 3. Let q(v) = -2 + 10*v - b*v + v. What is the tens digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5293, -10198, -15117, -20056, -25021, -30018, -35053?\n\"Answer: -l**3 - l**2 - 4895*l - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m**2 + 2*m + 4. Let n(t) = 56*t**2 + 5*t + 11. Determine 4*n(q) - 11*w(q).\nAnswer: 15*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*r - 288, -13*j + 9*j = -r + 149. What is the remainder when 297 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -672\/71119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31\/315 + (-4 - -1)*(-194)\/(-10476)\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 times 2?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3.2, -33 in decreasing order.\nAnswer: 3.2, 2\/7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*4 + (5*sqrt(40) - sqrt(40))*5)\/((sqrt(1152) - 2*sqrt(1152)*6)*-2))**2.\nAnswer: 245\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/6 + l**4\/3 - 9*l**3\/2 + 18*l = 0?\nAnswer: -6, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/19*l**3 - 2\/19*l**4 + 18\/19*l**2 + 8\/19 + 22\/19*l = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-408)\/(-187) - (-2*1 - -4). Let b(g) = -g**3 + 15*g**2 - 51*g + 78. Let m be b(11). Let k = -13 - -2. What is the nearest to m in a, -3, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -136\/273271 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**9)\/(p\/(p**(-1\/2)*p))*(p**(-2\/57)*p)\/(p\/(p*p**9*p)) assuming p is positive.\nAnswer: p**(281\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*6\/(-24))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416502653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + -3 - (11 - (11 - 12))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 5*z - 99 = 5*a + 13*z, 80*z - 243 = 4*a + 112*z + 41 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, 3, -1 in descending order.\nAnswer: 3, -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.773 + 0.027. Let v = o - 10. What is the nearest to -0.1 in -0.5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.2136t to milligrams.\nAnswer: 71213600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 + 4.26. Which is the smallest value? (a) l (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*h - 50 = 118 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14172 - -14173. Let j = -6 - -1. Which is the nearest to m? (a) j (b) -2\/19 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 41 = 4*u, 2*u + 27 + 11 = 4*j. Let l(q) = -q**3 + 7*q**2 + 3*q. Let x be l(j). What is the highest common factor of x and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 - (-2041)\/(-785).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95418 and 2059733?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96637 + (1400\/220 - 28\/77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 6 + 0*m**3 - 4 + 9*m**3 to w + t*m + v*m**3 + r*m**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/7))**(-9\/2) assuming t is positive.\nAnswer: t**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0547, 0.1, -2\/25, -20 in decreasing order.\nAnswer: 0.1, 0.0547, -2\/25, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -176*t**3 + 8*t**2 + 3*t + 5. Let n be q(5). What is n rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320 - -584. Suppose -d = 2*c - 6*c. Suppose -41*g + 42*g = c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1507.1 + 1507.03. Is -62\/23 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/154 - 2\/((416\/24)\/26).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*1\/4)\/1. Let d(t) = 3 - 7*t - 10 + 2*t**3 - 4*t**2 + r*t**3. Let w(q) = q**3 + q**2 - q + 1. Let o(m) = -d(m) + w(m). What is o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y. Let m(s) = -3053 + 1016 + 17*s + 1015 + 1024. Calculate m(j(o)).\nAnswer: 204*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/682)\/((6\/(-4))\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 960.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/2 - 2*g**3 + 16*g. What is the second derivative of x(m) wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112684879 to the power of 1\/2, to the nearest integer?\nAnswer: 10615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-6 - 320\/(-30)). Calculate the highest common factor of g and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x**5 - 160*x**4 - 236*x**3 + 608*x**2 - 188*x - 88 = 0. Calculate x.\nAnswer: -2, -1\/4, 1, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-4)\/(-13)) - 1. Suppose -d - f = -2*d. What is the highest common divisor of d and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 less than or equal to 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77832, -77830, -77828, -77826?\nAnswer: -77824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106183*o**3 - 3*o**2 - 96*o + 19379472 wrt o.\nAnswer: 318549*o**2 - 6*o - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 851614333 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -5b87c?\nAnswer: -5b880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-3)\/(48\/58)*-1. Suppose 9 = -y - 0*g + 3*g, 0 = 4*y + 3*g - 9. Suppose y*k = k. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0 + 0)*(-27*j - 35*j + 65*j - 5) as v*j + x*j**2 + l and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 9*q - 13*q)*(0 - 3 + 4) + 2*q + 3*q - 4*q + 3*q - 2*q + q + (4 - 1 - 5)*(3*q + 3*q - 4*q) - 1 - q + 1.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - (22 + -10) - (1 - 59).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -8233619496597?\nAnswer: 8233619496602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + 4*d**4 + 11*d**4)*(0 + 0 + d).\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6046093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 84557024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146 - 1240 = 22*g - 2474. Sort -1, -2145, 2, g, 1.\nAnswer: -2145, -1, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(1\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26b (base 13) to base 14.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3865.\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13379120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v - 5. Let j be n(7). Suppose -j*q + 53 = -327. Suppose 3*g - 371 = q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 82.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddccdcdcddddcddd. Give prob of sequence ddd.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -15304043?\nAnswer: 15304064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 37*v + 34. Let r(n) = -56*n - 52. Give -5*r(m) - 8*y(m).\nAnswer: -16*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297563499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -506 from 397869.\nAnswer: 398375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*m - 8, 3*m - 10 = m + 4*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, 1649, 5 in decreasing order.\nAnswer: 1649, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 5 = 5*j, 0 = o - 4*j + 13. Sort -2, 1, o.\nAnswer: o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70930 and 1703550.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (1 - 2 - 2 - (8 + 1)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124402987 is divided by 41467661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + f)*(15 - 15 + 6*f) + (2 - 2 + 4*f)*(-2 + 1 + 2)*(2 - 5 + 1)*(0*f + f - 3*f) to the form r + i*f**2 + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -14.59805.\nAnswer: -2.91961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*p = -3*u + 130 + 1, 2*p + 23 = 3*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8*l = 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7875 + -2)\/(5 - 6)?\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4749 - -4756. What is the closest to -1\/3 in -10, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3821371 and 83\/112808.\nAnswer: 30570968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -911, -7370, -24895, -59018, -115271?\n\"Answer: -922*v**3 - v**2 - 2*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + j + 28 + j + 6*j. List the prime factors of g(6).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/8*(7 + (-78)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1855632, 1855633, 1855634, 1855635, 1855636, 1855637?\n\"Answer: b + 1855631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2559 + 2538. Which is the closest to o? (a) -3 (b) 4\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296 by -74.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -21*s**3 - 7*s**2 - s. Let k(d) = -21*d**3 - 8*d**2 - d. Let z(f) = 5*k(f) - 6*n(f). Find the third derivative of z(i) wrt i.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25552183 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snlncoyyl. What is prob of sequence nync?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 18, 2, 23, 43, -1, -3 in ascending order.\nAnswer: -27, -3, -1, 2, 18, 23, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -981158*g**3 - 981176*g**3 + 1962264*g**3.\nAnswer: -70*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 times -3?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, 3 in descending order.\nAnswer: 3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 - a + 1. Let s(w) = 6*w**2 + 2*w - 2. Let o(y) = 2*i(y) + s(y). Let k(u) = 608*u - 1. What is k(o(m))?\nAnswer: -1216*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6861 + 3434 + 3427 - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l. Let s = 3 + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:00 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-3))\/(6\/477). Let m = x - 150. Suppose 3 + m = l. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 137.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-25)*-1*(-10)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 4*l + 24, l = -3*n + 61. Let d be 1 + (2 - (-3 + 2)). Let t be (-4)\/8 + n\/d. Solve 4*r = 4*z - 4, -2*z - 1 = -t*r + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -159 - 17?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 54, 79, 110, 153?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1\/5, -24?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**2 - 27688596*b + 332262576 = 0.\nAnswer: 12, 6922137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3799, -14.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.9495 * 57\nAnswer: -225.1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19013226*r**2 + 11716212*r wrt r?\nAnswer: -38026452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from dmf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 216165812*t**2 + 432331612*t + 216165804 = 0.\nAnswer: -54041451, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**3\/(d\/(d\/(d*d\/(d*d*d\/(d*((((d\/(d**(-1\/2)*d))\/d)\/d)\/d)\/d)*d))))**(2\/75)*(d**(-3\/2)\/(d**(-6\/5)\/d))**(-5\/12) assuming d is positive.\nAnswer: d**(347\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 5. Let d(j) = j - 2. Let a(q) = 5*d(q) - 2*g(q). Let r(s) = -6*s**2. What is r(a(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1519 - 964. Let k = s + 52. Suppose -k = -5*b + 3978. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77234196 divided by 2970546\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let z(u) = u. Let y(n) = -j(n) - 2*z(n). Let s = 1480 + -1479. Determine y(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 131*g - 260*g + 136*g - z, 3*g + 36 = -2*z for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 + 281616*n - 2252800 = 0. Calculate n.\nAnswer: 8, 140800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2917994*x**4 + 3408905*x**2 - 2*x?\nAnswer: -70031856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 1, d: 7, x: 2}. What is prob of sequence ix?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + q + 26 + 2 = 0, -w = -q - 14. Is 61\/4 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607449438.\nAnswer: 2, 3, 33747191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**5\/25 + 81*n**4\/2 - 471. Find w, given that y(w) = 0.\nAnswer: -810, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - 12. What is the smallest common multiple of 11 and (-52)\/(-6)*q\/(-26)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*15*6\/(-27). Suppose l + 0 = f. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -2*g**7\/105 - g**6\/30 + 2*g**5\/15 + 11*g**2 + 15*g. Let i(z) be the first derivative of n(z). What is p in i(p) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1128435 and -1128438 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-496)\/(-93)*-2*(-45)\/12. Suppose -5*l + 57 + 143 = 0. Is l not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 14*u**3\/3 + u**2\/2 - 6*u. What is the units digit of y(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l. Let b(h) = h. Let c(x) = 4*b(x) + r(x). Let a be c(-1). Solve 2*u - 6 - 7 = -a*y, 3*u = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -5, -1, -2, 23, 29 in decreasing order.\nAnswer: 29, 23, -1, -2, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 - -7) - (-6 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**5\/5 + 79*u**4\/4 + 90*u**3 + 271. What is the third derivative of t(a) wrt a?\nAnswer: 24*a + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -106*g - 365. What is the remainder when w(-5) is divided by 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*l - 3*l - 8, -211*b + 2*l + 3 = -214*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 5703528*a + 2033139477924.\nAnswer: 4*(a - 712941)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - w)*(3*w**4 - 6*w**4 + w**4) - 365*w**5 + 60*w**5 + w**2 - 205*w**5 + 172*w**5.\nAnswer: -336*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353 or 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13167 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -614 + 613.9999703. Round i to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 10\/8)\/(7 - 258\/48). Suppose -2*q = -5*y + 15, 2*q + y + y = -8. What is the nearest to -0.1 in q, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**4 - 2*g**3 + g**2 - 2*g. Let w(n) = 3*n**4 - 20*n**3 - 42*n**2 + 3*n + 6. Let j(t) = w(t) - 5*z(t). Suppose j(v) = 0. What is v?\nAnswer: -2, -1\/4, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30538570 to the nearest integer?\nAnswer: 5526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 23*h - 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p**(2\/5))\/p*p))**(-6\/13)\/(p**(-2)*p**1)*((p*p**3\/p*p)**43)**(-9) assuming p is positive.\nAnswer: p**(-100513\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567332, 1134662, 1701992, 2269322?\nAnswer: 2836652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, -5\/9, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -1 - 7. Let l be (-40)\/(-28) - (108\/63)\/(-3). Let q be 20*(7 + -10 - (l - 6)). Put q, v, 4 in descending order.\nAnswer: q, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 4*k**5 + 12*k**5 + 4 - 4 + k**5 + (-k**5 + 5*k**2 - 5*k**2)*(-4 + 3 + 0) - 2*k**4 + 2*k**5 + 2*k**4.\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 43 - 70 + 2 = 7*j - 2*y, 0 = -y for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 1 - 5 + 8 + (27 - 3 + 0)*(0*z**2 + 4*z**2 - 5*z**2).\nAnswer: -22*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4*m - 3*m)*(-314 - 60*m**2 + 314) - 16*m + 16*m + 19*m**3.\nAnswer: -101*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.1 + -55. What is the second biggest value in 2\/7, m, -2\/13, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2388038\nAnswer: 955215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 672\/36*(1 - 11\/7). Let k = 94\/9 + m. What is the nearest to -0.1 in 2, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 8. Let s(n) = 2. Let t(r) = -7*r + 66. Let x be t(10). Let k(w) = x*s(w) - d(w). Let h(o) = 3*o**2. Give k(h(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 2.5. Which is the second smallest value? (a) l (b) -6 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = -0*q, -2*r + 8 = -2*q. Let w be 1\/(-2)*6\/r. Which is the second biggest value? (a) 0 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/80 of a day?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2615*p + 2615*p + 28*p**2 + 3*p + p**2 - 3*p + (-2*p + 5*p - 4*p)*(-2*p - 2 + 2).\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137\/413 - -2\/1239. Let d(t) be the first derivative of -4 - i*t - 1\/12*t**2 + 1\/24*t**4 + 1\/9*t**3. Suppose d(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((6 - (1 - -59)) + (21 + -10 - 13)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1155328 times -202?\nAnswer: -23.3376256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 2*x - 5. Let i be u(5). Suppose 22 = i*q + 2. Solve q*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**2 + 4*p**2 + 3 - 3*p**2)*(-2*p**2 + 3*p**2 - 2*p**2) in the form i*p**3 + a + n*p**2 + q*p + c*p**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from kkqaaawakqkkwkkwwkk?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 40 = -10*h. What is the third derivative of u**2 + 85*u**h - 95*u**5 - 11*u**2 wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 500, 11, -23, 87 in descending order.\nAnswer: 500, 87, 11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 106*t**6\/5 + t**5\/20 - 817*t**2\/2 - 462*t. Differentiate g(k) wrt k.\nAnswer: 2544*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2831.126*4\nAnswer: -11324.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, -5, 4\/43, -450, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -99242\nAnswer: 1\/99242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 717726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*n + 88 = -4*n, -19 = -i + 2*n. What is the greatest common divisor of i and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5011 and 5.\nAnswer: 25055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, 2\/7, -4, -0.237?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**2 - 8*s + 8*s + 3 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.1. Let n = -0.45 + 1.45. Put y, 2, n in decreasing order.\nAnswer: 2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 41*h**2 - 16*h + 116. Give l(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -35. What is the remainder when g is divided by (0 - -13) + (-5 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 581 + -28. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0257 - -60.3743. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**2 - 3*p**2 - 9*p**2. Let m(i) be the second derivative of 5*i**3\/6 + 56*i + 1. Calculate c(m(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 7280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + 9. Calculate the highest common factor of 85 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(175).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 12:52 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 14 + 14)*(-2 + m + 2).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*m + 2*m - 16 = 0, -52 = -4*l - 3*m. Suppose -4*n = l, -2*t = n + 4*n + 6. Suppose t*u = 6*u + 33. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -31.9. Which is the second biggest value? (a) n (b) 0.5 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3 + 4*u**2 + 0*u**3 + u**3 + 0*u**2 - 5*u. Is l(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 2252547*n**3 - 563787735435*n**2 + 47041132653441897*n - 846557733672212382.\nAnswer: -3*(n - 250277)**3*(n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4729632 millilitres to litres.\nAnswer: 0.0004729632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -982*l**3*x**2 - 35*l**3 + 4*x wrt x.\nAnswer: -1964*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4060409*t**5 - t**2 + t - 74894 wrt t.\nAnswer: -243624540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 4437 = 13*b. Let p = 492 - b. What is the third biggest value in p, 0.4, 25\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-168)\/((-92)\/13 + 168\/24) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 2, n: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28748524 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86271800 divided by 4447.\nAnswer: -19400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 1 + 0 + 34*c**2 + 4*c.\nAnswer: 34*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.7 - 11.7. Let c = -51 + i. What is the third biggest value in 0.2, 3\/4, c, 35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*r = 333, -4*r + 222 = 7*m - 5*m. What is the remainder when m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 - 12*r + 23. Let z be d(4). Let t be z - (-5 + 3)\/((-3)\/3). Solve 3*l - 7 - t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let g(z) = -z**3 - 3*z**2 + 9*z. Let x be g(-5). Let s(m) = m + 2. Give x*s(y) - 4*u(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysmyysyksmlmmy. Give prob of picking 1 m, 1 k, 1 l, and 1 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.6. Which is the closest to 1? (a) i (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82798*q**5 - 104744*q?\nAnswer: 1655960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 1 + 5. Let k(v) = 21*v**2 + 2*v + 1. Let w be ((-6)\/9)\/((-2)\/(-3)). Calculate the lowest common multiple of a and k(w).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 103002672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 862071 minus 32.437702?\nAnswer: 862038.562298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*w + 9 = 114*w. Suppose 0 = 4*i + 7 + 5, 3 = 3*r + 5*i. What is the highest common factor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236122 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498 and 299046.\nAnswer: 24820818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6771\/(-296))\/(3\/7*1533\/(-438))?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s - 1. Let a = 3 - 1. Suppose -l = -a*k - 15, 0*k = l - k - 10. Let m be g(l). Solve -10 = -3*q + j, -3*q - 8 = q + m*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -2*f, 5*h = 4*f + 4*h - 27. Solve 183*t**4 - 2*t**5 - 185*t**4 + 2*t**2 + f*t**3 - 4*t**3 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u - 22. Let d be t(6). Solve -5*q - 12 + d = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*o)*(27 + 4 + 37 + 113).\nAnswer: 362*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6794.705 decades?\nAnswer: 67947.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*a**5 + 4*a**4*x**3 + 35*a**2 + 876*a*x**3 + 2*x + 1 wrt a.\nAnswer: -1320*a**3 + 48*a**2*x**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11144 times 0.4?\nAnswer: 4457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 342, -117, -7, 16.\nAnswer: -117, -7, -1, 16, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 1 (c) 26 (d) -0.6 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 3*g - 2. Determine q(-10).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o**2 + 426576 + 426572 - 1279713 + 426565.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3579, -3581, -3583, -3585, -3587, -3589?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 73*u**3 - 38*u**3 - 13.\nAnswer: -111*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0.06662352\nAnswer: -0.93337648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -474, -472, -470, -468, -466?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g - 5*a = 16, 5*g - 2*a - 14 = 0. Find the third derivative of 7*p + 116*p - 11*p**5 + 3*p + 9*p**5 + 2*p**2 - 3*p**4 - p**g wrt p.\nAnswer: -120*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121) - sqrt(121))\/sqrt(11)*-6)**2*3.\nAnswer: 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 + 1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 5 + b + 9 + 4. Let h be y(0). Let j be (0 - -1)\/(-1) + 18. Calculate the highest common divisor of h and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 4*q. Calculate n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3162 and 11250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from snvqynd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1275*d + 77. Let i(n) = 2*n**2. Determine x(i(m)).\nAnswer: 2550*m**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7571 + 33279 = -2726*p - 50620 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 72*d + 8. Give s(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87 and 0.0232072666302.\nAnswer: 87.0232072666302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 265879381 to the power of 1\/2, to the nearest integer?\nAnswer: 16306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000302523 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71413.\nAnswer: 71413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147584132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1651 + -1649. Which is bigger: -234 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:17 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 6, m: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -0.05145295.\nAnswer: 0.077179425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 127*j**2. Let m(h) = 166*h - 2. Determine q(m(l)).\nAnswer: 3499612*l**2 - 84328*l + 508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 20.2. Let g = -0.2 - n. Let x = 3 + g. Is 3 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-4)\/3)\/(-28*(-32)\/32256).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 56446?\nAnswer: 3\/56446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*c - 105, 4*c = 8*m - 10*m + 70. What is the highest common factor of 3787 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*1472\/(-12). Round x to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25526, 51050, 76574, 102098, 127622, 153146?\n\"Answer: 25524*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4972457.88 to the nearest one thousand.\nAnswer: 4972000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2938.2 + 2937.7. Sort 27, 4, g in descending order.\nAnswer: 27, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*l - 9 - 5, -4*h = 5*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -46. Let t = l - -3. List the prime factors of t\/10 + (-255)\/(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1822*m*r - 1406*m - 5387125*r with respect to m.\nAnswer: -1822*r - 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 7655017.5599353 and 0.5.\nAnswer: 7655018.0599353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3 + 5 - 2*x - 2. Let w(o) = -10*o - 5*o - 11*o. What is w(d(k))?\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 14*n**2 - 12*n - 23. Suppose -8*r = -12*r + 12. Suppose -4 = -3*q + 2*s + 28, 0 = 4*q - r*s - 43. Is v(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 5*y = 4*f + 195, -2*f + 2*y = -130. Let h = -61 + f. Suppose 5*z = -4*i + 733, 15 = h*z + 2*i - 575. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6 - 2 - (-395220)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 25. Determine i(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 + 31 = 0. Let g be (-3 + 1)*90\/(-36). Sort g, -3\/4, a in decreasing order.\nAnswer: a, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*n**2 + 426*n**2 + 579*n**2 + 1261*n**2 - 218*n**2 - 149*n**2.\nAnswer: 2311*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(52*m**2 - 145*m**2 + 49*m**2 + 1499*m + 47*m**2).\nAnswer: 6*m**3 + 2998*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 12196980?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001598 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*n + 3*n + 62, 2*p - 43 = 3*n. Suppose 25*x - p*x + 8 = 0. Find the second derivative of 7*d - x*d - 12*d**4 + 4*d wrt d.\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54092.89 millilitres to litres.\nAnswer: 54.09289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let x be 0\/(-1)*g\/(-2). Suppose x = v - 2*v. Solve -i + 10 = 4*b - 1, v = -4*b - 2*i + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -87*r. Let k(u) = -111*u. Calculate k(x(n)).\nAnswer: 9657*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18571.\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 11655.\nAnswer: 34965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tccc when four letters picked without replacement from {t: 1, c: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 6\/9289097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28283 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l. Let w(x) = 1 - 1 + 5*x. Let g(n) = -3*u(n) - 16*w(n). Let c(v) = -21*v - 28*v + 47*v. Calculate g(c(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121 - 102*s + 45 - 343*s + 134 + 113 wrt s.\nAnswer: -445","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8*(4 - 14) + 4. Is t <= -9\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 - 10*r**2 + (3*r - 4*r - 2*r)*(-1 + 4 - 11)*(4 - 4 + 2*r) + 2*r**2 + r**2 - 2*r**2.\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46718 is divided by 834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/5 - 63354*v\/5 + 126696\/5 = 0. Calculate v.\nAnswer: 2, 21116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 18 = 4*y, -13*y + 17*y - 19 = -3*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18362*c + 18363*c + 2 - 2.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2174568\/967 or 2249?\nAnswer: 2249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by -52.\nAnswer: 141\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 75 + 383 + 270 - 211 + 314.\nAnswer: 3*g + 831","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4)\/8*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (11 + 13 - 11)) + 3 + 20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 855.7675572\nAnswer: -856.1675572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(8\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-738 + 0*b + 1630 - 2*b + 1988 + 80)*(0*b**2 - 2*b**2 + 0*b**2) to m*b**3 + r + x*b + o*b**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510429 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7358 + 1212?\nAnswer: 8571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + p - 13 = 0, -3*o + 2 = 3*p - 1. Suppose -12 - 9 = -o*b. Suppose 0 = -3*y + 3*l + 369, -y = -5*l - 120 - b. List the prime factors of y.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 6) to base 10.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + sqrt(112) + 2*(sqrt(112) + 2) - sqrt(112) - (sqrt(112) + (sqrt(112) + sqrt(112)*5 - sqrt(112))*6)) + 3*sqrt(112)*-5*1*-6)**2.\nAnswer: 1984*sqrt(7) + 430544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*d - 26*d - 9549. Let u = -3968 + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1415151350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 12. Suppose -8 = -5*p + 2*h - 2, 3*p - h = c. Factor p - 1\/5*t**2 + 1\/5*t.\nAnswer: -t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 253 = -2*k + 238, 453*a + 2*k = 450*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2)*8952\/(-14920)*((-152)\/(-18) + 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/2850)\/((-9)\/(243\/(-12)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b, 0 = 3*h + b + 2*b - 33. Let u(t) = 3*t - h - t**3 + 9 - 5*t + 10*t**2 - 6*t**2. Calculate u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - (-3 - (-11)\/(-3)) and -48\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3496*n**2 + 1 + 4 - 2965*n**2. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/5 - 566*f\/5 - 556 = 0 for f.\nAnswer: -278, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6500*a - 1572*a**3 - 529*a**4 - 1468*a**3 - 175*a**4 - 2500 - 64*a**5 - 6400*a**2 = 0.\nAnswer: -5\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/6 - 23*o**3\/3 + 366*o**2 + 4652*o\/3 + 4736\/3 = 0. What is o?\nAnswer: -74, -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvrqaramqar. What is prob of sequence vqqk?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056737604.\nAnswer: 2, 3, 13, 6773959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(-8 + 1 + 2)*(-5 + 2 - 6)*(-4 - 1 + 0).\nAnswer: -225*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - -2*sqrt(275))**2 + sqrt(77)\/sqrt(7) + 5.\nAnswer: sqrt(11) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 5. What is g(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than -3088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 plus -2.33159?\nAnswer: 974.66841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122503876 is divided by 3573.\nAnswer: 3571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9496 is divided by 1396?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5899 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343\/8 + -43. Suppose -3*g + 5*q = -14, -2*g - 3*q - 2*q = -1. Suppose -v - g*v = 3*y - 6, -2*y - 13 = -3*v. What is the nearest to 1\/7 in 0.3, v, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2282 + 29 - (-12)\/(-2). Let v = 88108\/39 + a. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180.9 + 193. Let d = n + -12. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) - sqrt(343)) + (-2*sqrt(567))**2.\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 - 14*j**3 + 14*j**3 + (j**3 + 29*j - 29*j)*(4 - 4 - 4*j) to k*j + c + q*j**3 + t*j**2 + g*j**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdduvduvvdvvdvvvvd. Give prob of sequence vu.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-156)\/84)\/(4\/(-28)). Solve p = 6*a + 43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9679\/6 + 3225\/2. Which is the smallest value? (a) y (b) -0.26 (c) 0.36 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 10. Let b(s) = 11*s**2 + 35*s. Let j(k) = 2*k**2 + 6*k. Let t(a) = -6*b(a) + 34*j(a). Calculate t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 2742*x - 108713. What is l(-428)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41062 = 4*d - f + 41063, -5*d + 25 = 4*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139699\/100 + 1397. Let a(d) be the third derivative of x*d**5 + 0*d**3 + d**2 + 0 + 0*d - 1\/60*d**4. Factor a(n).\nAnswer: n*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30579 or -428101\/14?\nAnswer: -428101\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3610, -3592, -3518, -3358, -3082, -2660, -2062, -1258?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/418 and 93\/1388?\nAnswer: 290092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3904 - 1953 - 1952 - 248*y - 423*y.\nAnswer: -671*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/315*(-15)\/(9360\/(-84))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 26296?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 211*q + 290820.\nAnswer: -(q - 444)*(q + 655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in years?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122230 (base 5) in base 11?\nAnswer: 25003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90076, -182730, -275384, -368038?\n\"Answer: -92654*h + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - h**2 + h. Let w(q) = 2*q**2 + 5*q - 7. Calculate the remainder when w(-6) is divided by f(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79720?\nAnswer: 2, 5, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 6*v - 24 - 16, -4*v + 4 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50886 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -21028.\nAnswer: -21015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -219633?\nAnswer: 219628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2863439270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/4 + 75*i**3\/8 + 375*i**2\/8 + 65*i\/4 - 21 = 0.\nAnswer: -4, -1, 1\/2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -131*o**3 + 2*o**2 + o. Let q be f(-1). Suppose q = 3*s - 57. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -776 or -778?\nAnswer: -776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2032, 8135, 18306, 32545, 50852, 73227, 99670?\n\"Answer: 2034*i**2 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 9 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let s(w) = -w**2 - 2*w + 1. Let x be s(h). Calculate the common denominator of (x\/(-14))\/(2\/52) and 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*j - 1042578 - 8867694 = -1712232. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddddl. What is prob of sequence lddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 17 - 69 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t + 16 = 0, -2*k + 5*t = -30. Suppose 73 = 2*p - 55. Let u be p\/2 + 4\/(-2). Solve -3*v - 40 = -k*m, -3*m + 2*v + u = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -be05?\nAnswer: be0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -498895 divided by 7\nAnswer: -498895\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -7, -0.1, 0, -2\/177, 84?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0, 12, 14, -3.\nAnswer: -5, -3, 0, 2, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 0, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 4*p + 0*p)*(-3 + 2 + 0) + 647*p - 280*p + 775*p - 2*p + 2*p + p to the form d*p + y and give d.\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**29\/(k**1)**(-2\/5) assuming k is positive.\nAnswer: k**(-141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 24. Determine u(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154773625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-3)\/1)*(-6)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -83*n - 4. Let o(q) = -198*q**2 - 36. Give r(o(w)).\nAnswer: 16434*w**2 + 2984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32698*y + 4797*y + 8572*y.\nAnswer: 46067*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01832 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1, -0.02, 7, -2799, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 507*c - 195. Let o(a) = -1015*a + 379. Let w(d) = -9*n(d) - 4*o(d). Find the first derivative of w(t) wrt t.\nAnswer: -503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 1. Let v(c) = -2*c + 3*c + 2*c - 34*c**2 + 25 + 6*c**2. Let f(u) = -3*b(u) - v(u). Differentiate f(x) with respect to x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3058, -4, -252\/25?\nAnswer: -3058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 6*r - 10. Let g be y(-6). What is the second derivative of 30*o**5 - g*o**5 - 14*o + 37*o**5 wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -42. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/246 and 119\/763578.\nAnswer: 31306698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 66*q**4 - 80*q**4 + 3*q**5 + (-2*q**2 + q**4 + 2*q**2)*(0 + q + 0).\nAnswer: 2*q**5 - 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(72)\/sqrt(4))\/sqrt(6))*4 + (sqrt(3) + (sqrt(12)*-1)\/sqrt(4) - (0 + sqrt(6)\/sqrt(2))).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88041*p**4 - 132921*p?\nAnswer: 1056492*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (17 - 17) + (-30 - (-10 + 3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -898*x**3 - 3*x**4 - 903*x**3 - x**2 + 1 + 6*x**4 + 65*x + 1802*x**3 - 2 to f*x**4 + n*x**2 + c*x**3 + b + v*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 136 = -131. Put w, 1, 5 in increasing order.\nAnswer: w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 25 + 78 = -38 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 276\/(-27) - (-4)\/18. Let x = p - 5. Is 3 a factor of 18\/5 + (-6)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (sqrt(8) - sqrt(2)))**2 + sqrt(2) + 3.\nAnswer: -3*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Solve x*b = 2*w - 30, -4 + 0 = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2*s*s)**(-18))**(-1\/21)\/(s**(3\/2)*s*s**(-1\/8)*(s**(-2))**(1\/11)) assuming s is positive.\nAnswer: s**(1289\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/4, 2\/13, 85?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(-5124)*10\/(-100)*45?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * -211200.\nAnswer: -13305600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.51 + -0.01. Let z = 1893\/5 + -379. Which is the closest to 2? (a) -1 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 133 (b) -23.17 (c) -2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2386\/21 - 340\/3. Sort 1\/16, q, 3\/2, -0.1, 4 in descending order.\nAnswer: 4, 3\/2, q, 1\/16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*v = -37, 5*o + 0*v + 33 = -2*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 176684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145595593 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -2*q**6\/15 - 151*q**5\/15 + 19*q**4\/3 - 29*q**2 + 3*q. Find l, given that u(l) = 0.\nAnswer: -38, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -1, 1 in descending order.\nAnswer: 11, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (207\/66 + -3)*(-2172)\/9. Let d = j - 13\/22. Calculate the common denominator of -49\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l - 8. Let y be u(6). Let f be 3 - (-36)\/y - (-1 + 2). Which is the third smallest value? (a) -0.5 (b) 0.5 (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/7 - 20241*x**3\/7 - 60750*x**2\/7 - 12*x\/7 + 81000\/7 = 0 for x.\nAnswer: -2, 1, 6750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/160)\/((-6)\/8*(-215)\/(-1290))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 26*x - 18496. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 174\/(-2)*3\/9. Let t = 4 - r. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/15 + v**4\/12 - 3*v - 1. Let k(y) be the first derivative of c(y). Find the third derivative of k(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 16*g**2 + 17*g + 39. What is the remainder when 115 is divided by x(17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 * 1\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0252258 times -26?\nAnswer: 0.6558708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-334)\/465 - 4\/(-6). Let a = x + -3\/62. Let b = 26 - 25. Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -4.08. Let g = -426467\/3 + 142152. Which is the biggest value? (a) g (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*t, 8 - 2 = -z + 4*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1006*q**2 + 6*q + 96. Let l(o) = 1007*o**2 - 8*o - 128. What is -4*j(t) - 3*l(t)?\nAnswer: 1003*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 15*s**2 - 24*s + 27. Let b be w(-13). Suppose -4*g - 2*k = 16, -2*k - 8 = -0*k. Sort 2, g, b, -5 in increasing order.\nAnswer: -5, g, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 + y - 1. Let n(j) = 359 - 14*j**2 + 3*j - 114 - 124 - 125. Calculate 3*n(f) - 8*q(f).\nAnswer: -2*f**2 + f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*z + 84. Suppose -z*s - 3*f = -9, 6*f = 5*s + f + 15. Suppose 2*h - 10 = 0, s*a - 3*a - 2*h + 139 = 0. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 754 + 6849 = -5488. What is the remainder when d is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 2783?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-707)\/(-49) + (-20)\/(-35). Which is the nearest to v? (a) 3\/8 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - -8 - (-80 - -81).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:21 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.5. Let i = 15 + -14. Sort j, -4, i in increasing order.\nAnswer: -4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54791655 to the power of 1\/2, to the nearest integer?\nAnswer: 7402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788.292 microseconds in milliseconds?\nAnswer: 3.788292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3536)\/(-204)*2\/8.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 39*n**2 - 58*n - 7. Is x(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**5)\/x))\/(x*x**(19\/5)) assuming x is positive.\nAnswer: x**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.82891 plus 39?\nAnswer: 29.17109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9036 divided by -6?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3456)*-3)\/((sqrt(12) - 2*sqrt(192)) + sqrt(132)\/(sqrt(22)\/sqrt(2)))*3)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 435420.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-4)\/sqrt(7) - ((sqrt(550)*1 + sqrt(550) + sqrt(550))\/sqrt(11) + sqrt(50)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46828 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 340, 2975, 10124, 24043, 46988, 81215, 128980?\n\"Answer: 376*l**3 + l**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 0)*((-1 + 2 - 3)*(0*b - 2*b - 3*b) - 3*b + 2*b + 0*b).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 41*v**2 - 553*v - 2233. Give w(-4).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - -12) + 2 + 3. Let t(l) = -6*l**2 + 22*l**2 - w*l**2 - 9*l**2. Let v(b) = -10*b**2. Give t(v(i)).\nAnswer: 300*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*o - 138*o + 2628. Does 73 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 8*x**2 - 12*x + 46. Is d(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 630000*r**2 + r + 1. Let g be d(-1). What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/2 or 22?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14049.1277 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + -8 - (-10635 - (9 + 10))?\nAnswer: 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = 3*y + 7, -2*y + 5*o - 26 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-306)\/612)*(-9)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/12 + 5)\/(-5 - (-2 + 0)). Which is the biggest value? (a) r (b) -0.3 (c) 142 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010000111010 (base 2) to base 8.\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -4*n + 44, -k - 4*n + 32 = 0. Let z = 10 - k. Is ((-15)\/2)\/(1\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -65.1. Let b = 6 + -2.4. Let v = b - 4.1. What is the nearest to n in v, -2\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-2364)\/(-138) - 17). Put y, 0, 5, -6, 4 in decreasing order.\nAnswer: y, 5, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 + -48. Is (4 + -3)\/(1\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222999608 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*i - 478*i - 1 - 3*i**2 + 2*i**2.\nAnswer: -i**2 - 391*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -1. Let d(v) = -v**2 - 10*v - 7. Let k be d(t). Solve -2*i - 2*o + 10 = 0, 5*o + k = i + 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12665175 - 2?\nAnswer: -12665177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**3*u**2 - 65457*s**3*u*y + 2*s**3*u + 7*s**2*u*y + 2*s**2*u + 5*s**2*y + s**2 - 2*u**2*y - 9168*u*y - y wrt s.\nAnswer: -60*u**2 - 392742*u*y + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 11323203021?\nAnswer: -11323202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -31929119064.\nAnswer: -31929119064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = 114*d - 349 + 503 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - 52) + 5 - 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 24 - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpppmpqmqjppmp. Give prob of picking 3 p.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - k - 2*k + (-k + k + 3*k + (4*k - 2*k - k)*(4 - 3 - 3))*(-13 + 8 + 2).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -111*z + 7. Is v(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffououfffffff. What is prob of sequence uo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 4*y + 5. Let q be o(4). Suppose 31 + 189 = q*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + u - 3. Let t = 17 - 11. Let w be l(t). Suppose 4*z - 24 = w*f, -4*z - 2*f = -f - 8. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295 (base 10) to base 9.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/645 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -28*w + 11. Let c be a(-3). Let p(y) = y**2 + 106*y - c*y + 7 + 0*y**2. Give p(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r = 39*r - 33*r - 1540 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -889 (b) 0.3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -89, -50, -5, 40, 79, 106?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 58 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -123 (c) -2 (d) 43\/327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*i**2 + 0*i - 4*i + 5*i)*(109 - 251 - 120 + (0 - 4 + 2)*(-1 - 1 + 0)) to the form q*i**2 + w + g*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 3*d - 2. Let c(s) = 1. Let b(x) = -2*c(x) - n(x). Determine b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 764*g + 760.\nAnswer: 4*(g - 190)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3358 - 3358 - 2*i. Let d(x) = -243*x**2. Calculate y(d(b)).\nAnswer: 486*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 11. Put j, 4, -2 in decreasing order.\nAnswer: j, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0, 1\/3, -172\/63415?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -564701907 divided by -80671701?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/63)\/(4\/(-6)) + -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(175) + sqrt(175) + sqrt(175) + 2 + 4 - (sqrt(175) + -1*(-1*sqrt(175) + sqrt(175)))) + -2)**2.\nAnswer: -3580 - 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (6 - 41)*(-2)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 take away 36?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 106*l - 1806. Let y be f(17). What is the fifth smallest value in -2\/11, 4, y, -7\/6, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128b (base 12) in base 6?\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 271555232 - 2*y + 271555232 + 2*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, r: 4, p: 8}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Let j be 4 + 2 + -3 + n. Suppose -2*x - 5*r = 3*x - 95, -j*r - 11 = -x. What is the highest common divisor of x and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 - 7*d + 6. Let z be l(4). Let n = z + -11. Calculate the remainder when 24 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -60*k - 815. Give t(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 2*f**2 - 2889287*f**3 - 6*f - 5 + 2889288*f**3. What is m(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -716348*w + 2149071. What is q(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-28)))\/(b**(16\/3)\/b))\/(b**(-12)*b*b*b**(2\/81)))**(-3\/22) assuming b is positive.\nAnswer: b**(1811\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -289*y**3 - 23*y**2 + 5*y + 5. Let c(r) = 434*r**3 + 35*r**2 - 8*r - 8. Let x(d) = -5*c(d) - 8*v(d). Find the third derivative of x(o) wrt o.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -21. Are c and 0 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*j - 21*j - 158 = 0. Let c(x) = -4 + 5*x - 4 + 2. Let b be c(j). Solve 0*s = -s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11234, 11235, 11238, 11243, 11250, 11259, 11270?\n\"Answer: l**2 - 2*l + 11235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 4*w, 2*n - 4 = 2. Suppose 5*u - 4 = -w*d + 2, 3*d - 3*u = 9. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*r**4 - 13210*r**2 - 482*r + 17591068?\nAnswer: 24*r**3 - 26420*r - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -28. Suppose i*d - y = -5*y - 10366, -d - 2*y = 3452. Let m = d + 31228\/9. Calculate the common denominator of -19\/10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754726473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from ykykkykftfy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -240800 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-2538)\/(-36)))\/((-6)\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213\/4 - (-17)\/(-68) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.202 - 0.282. Sort 2\/19, -2\/3, o, -3.\nAnswer: -3, -2\/3, o, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of ((-14784)\/(-30))\/2 - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27367 - 26983. What is the remainder when n is divided by 373?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:25 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2, -0.5, -0.04, 206, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(3\/4))))\/l*l**5)\/(l**(-2\/7)\/l*l*l**(-2\/7)) assuming l is positive.\nAnswer: l**(135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 123, 428, 1021, 1998?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.2 + 22.2. Put -1, -5, c in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013221 - 3?\nAnswer: -3013230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -12, -14, -14, -12, -8?\n\"Answer: f**2 - 7*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 10*s**3\/3 + 118*s**2\/3 - 82*s\/3 - 40\/3 = 0. What is s?\nAnswer: -4, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/(7\/28). Let u be 2\/2 + (-3)\/j. Let h = -12.7 + 13. Put 2\/9, u, h in ascending order.\nAnswer: 2\/9, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.7 - -6.7. What is the third biggest value in 1\/4, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/8 - 1857*t**3\/4 - 203385*t**2\/2 - 6198075*t.\nAnswer: -3*t*(t + 130)**2*(t + 978)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*r + 1 - 5 = 0, 3*y = 5*r + 2. Calculate the remainder when y\/1 - (4 - 116) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 + -385. Let t = k + 104. Let b = 140 + t. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 14*x**2 + 14*x + 15. Let t be g(-13). Suppose 0 = t*v - 8 - 16. Solve -h + 2*d - v = -d, -3*h + 3*d = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p + 3. Give s(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 12840*y**3 + 13661544*y**2 + 165327840*y + 497374128.\nAnswer: 3*(y - 2146)**2*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 23*r + 504 - 157 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 12) in base 8?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947064771.\nAnswer: 31, 269, 233489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 29.18. Let z = 0.14 + c. Let q = z - -0.04. What is the nearest to 1\/4 in q, -0.5, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768*z + 2057*z = 4266 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d - 10. Let f be 1\/d*(-30 + 0). Let r be (-28)\/(-210) - (-2)\/f. Solve r*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + g**3 - 3*g**2 + 5*g**3 - 4*g**3 + g**3 - 3*g + 3*g + g**3 + (3*g**3 - 5*g**3 + 0*g**3)*(-1 + 1 - 1) - g**3 - g + 0*g**3 + 0*g.\nAnswer: 5*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 501 and 5344.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 101121111121221?\nAnswer: 101121111121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -61000 * -0.2\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 34. Let w be (-1 + -5)*2*17\/(-12). Let d be h(w). Solve d = -k - 13 + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3360.44 rounded to the nearest ten?\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5248 = -668*n + 12*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60730.\nAnswer: 2, 5, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/9 - 122*y**3\/3 + 26160*y**2 + 2676000*y - 849600000 = 0.\nAnswer: -300, 177, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18\/11, 1\/3, 7, 2\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -891 times 0.09?\nAnswer: -80.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 12\/5. Suppose -628*v - 3888 = -2069*v - 1006. Solve 0 = -k*g + 3*a - 13, -3*g - 17 = -0*a - v*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42532 by 868.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -7*t**5\/10 - 754*t**2. Let g(h) = -11*h. Give g(q(x)).\nAnswer: 462*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose 0 = -6*w + 146 - 170. Let j = -0.2 + 0.3. Which is the closest to j? (a) m (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2 + (3 - -2)). Let i = 39 - v. Suppose t = 5*t - i. Solve u = -4*u - w + 9, -4*u + 3*w = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 + (1446\/4 - -3). Suppose 0 = 5*j - 995 + d. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22876 - -23005. Solve 4*c = q - 137 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15*a + 24 - 25.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66774*c**3 + 2*c + 76854 wrt c.\nAnswer: 400644*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2\/39 (c) -0.05 (d) 468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24664051.2+3.12\nAnswer: 24664054.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1)*(2*x**4 - 4*x**4 + 3*x**4) + 12*x**5 - 19*x**5 - 22*x**5.\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0. Let w = j + -0.3. Let x(q) = -q + 6. Let g be x(6). Which is the biggest value? (a) 3 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057991 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - y + y + (0*y**3 - 2*y**3 + 3*y**3)*(-y + 2*y - 5*y) + 11*y**4 - 22*y**4 - 21*y**4 + (2*y**2 + 4*y - 4*y)*(0 + 0 - 3*y**2).\nAnswer: -43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4967\/6 in 1\/5, 2\/5, -1, -1\/5, 0.26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 472\/9 - 158\/3. Which is the nearest to -0.1? (a) 1 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55525820*j - 4 + 55525551*j + 4 - 111051369*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, r: 2, o: 6}. What is prob of sequence oao?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 8*f - 2. Let h be m(8). Let z be h + 0 + 40\/18. Which is the smallest value? (a) z (b) 2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28139 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -206257676 divided by -4?\nAnswer: 51564419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2 + 0 - g + 6 - 5. Let z(i) = -13 - 5*i + i + 8*i. Let a(v) = 26*k(v) + 6*z(v). Let f(t) = 3*t. Determine f(a(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - -2.8. Let y = -7 - -4. Sort y, -1, t in ascending order.\nAnswer: y, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a31 (base 14) to base 9\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + i + 28 = 0. Let k(x) = -2*x**2 - 9*x - 3. Let u be k(i). Suppose 38497 = -5*s - 3*l, -u = 4*l - 5. Round s to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -24. Suppose 4*r = u + u + t, -4*u + 6 = 2*r. Suppose 33 = r*d + 78. Is d != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:22 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5 = 2*n. Calculate the least common multiple of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 521007, 1041885, 1562765, 2083647, 2604531, 3125417?\n\"Answer: w**2 + 520875*w + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1\/10 (c) 1 (d) 195144 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 20. Let a be m(-12). Differentiate a*r - 4 - r + 1 + 7 with respect to r.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.02, 2\/3073?\nAnswer: 2\/3073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x + 29 + 39 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(((k\/((k*(k*k**(1\/2))\/k)\/k))\/k)\/k))\/k))\/k*(k**21*k*k)\/k assuming k is positive.\nAnswer: k**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22745 and -0.3.\nAnswer: -0.068235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2*d + 16, -3*j - 13*d = 118 - 34 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -10*k + 73. Solve 0 = 5*g + 14 + k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 88 - (-23 + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(33)\/sqrt(3) + -2 - ((-1*sqrt(77))\/sqrt(7) - (sqrt(44) + -3 - sqrt(11))**2).\nAnswer: -4*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - -1a?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3553 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -156*h + 1506 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23921?\nAnswer: 19, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12546 (base 7) in base 4?\nAnswer: 310212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 + 7*j - 1. Let o be v(6). Let n = 4\/297 + -13967\/594. Let q = -20 - n. Which is greater: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 365 - 360. Let p(g) = g**3 + 5*g**2 - 13*g + 50. What is the tens digit of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, -22, -36?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*v**3 + 156*v?\nAnswer: 282*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*q = 700*q - 119 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52027, 416299, 1405029, 3330445, 6504775, 11240247?\nAnswer: 17849089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3476883 + 673*o + 3476883.\nAnswer: 673*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43378?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 2\/357 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14018015 is divided by 2249.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19 + 1905\/(-105))*7. Let n(l) = -8*l**3 + 6*l**2 + 8*l - 10. Let m(u) = -8*u**3 + 5*u**2 + 7*u - 9. Calculate d*n(f) - 7*m(f).\nAnswer: 8*f**3 + f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.63 + -0.07. Let m = s - -0.69999984. What is m rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 41*c = -43*c + 10, 3*x + 62*c - 63*c + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53261 and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/129607488 and 79\/11475663?\nAnswer: 2203327296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1543\/2 + -751. What is the common denominator of (1\/12)\/(9\/858) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8254 + -1.6254. What is the nearest to -0.06 in -1\/3, -60, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:54 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 4.35. Let z = l - -0.15. Let o = -0.1775 + -0.0225. What is the closest to 0 in o, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 533*r - 537*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 5*h + 3. Let l be f(-6). Let d be ((-57)\/(-11) - 2) + l. Let g(y) = y**3 - y**2 - 2*y - 1. Let j be g(-1). Does j = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -38*p + 260. Calculate the least common multiple of 825 and p.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1707 - -7) + -6 + 6\/3 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-1350)\/800))\/((-1)\/6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 100728\/14513?\nAnswer: 100728\/14513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17\/8*q**3 + 5\/2*q**2 + 0 - 9\/2*q - 1\/8*q**4 = 0 for q.\nAnswer: -2, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21315 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.6727.\nAnswer: 0.13454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 14*m**2 + 12*m - 10. Let v(y) = y**2 - 21*y + 25. Let b be v(19). Let h be p(b). Put 29, -3, h in descending order.\nAnswer: 29, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 125*c + 3310. Give r(-87).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 20*h - 15. Let s(v) = v**2 + 10*v - 7. Let n(q) = -3*k(q) + 7*s(q). Let t = 360 - 370. Calculate n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e - -11a?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmo when three letters picked without replacement from {r: 1, m: 4, n: 4, o: 3, a: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 20 + 0*l + 3\/2*l**2. Let k(i) = i**2. What is k(m(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 3) + -12 + (6 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:24 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 102*w - 77. What are the prime factors of z(17)?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 97 and -83065941825.\nAnswer: -83065941728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 3089675\/4?\nAnswer: 3089675\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-417)\/(-18) + 6\/144*-4. What is the highest common factor of 253 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13066097 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 4*f**2 - 2*f + 5*f + 7*f**2 to the form n*f + j + y*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + 17\/3. Let i(s) be the second derivative of 2*s**3\/3 + 11*s**2\/2 - 29*s - 2. Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -w + 4 - 119, w = -q + 117. Suppose -6*y + q = -2*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Find the second derivative of d**2 + d**2 - 2*d**s - 2*d**2 + 2*d wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 16, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42862310 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 6 - 6 = 4*k, 0 = -2*k + 5*t + 24. Suppose 3*i + 3*p = 495, 3*p - 94 - 239 = -k*i. Calculate the highest common factor of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.14 * 0.21091\nAnswer: -0.6622574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4095 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n + 6836 = -3601. Sort n, -1\/3, -3.\nAnswer: n, -3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*d - 10, d + 1 = -o - 0. Let j be 1 - (-1 + 0 - o). Suppose -j*v = -10 - 11. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10867*k**3 - 53*k**2 - 102*k wrt k.\nAnswer: 65202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 9*j**2 - 43*j - 300. What is the least common multiple of 42 + 4*6\/8 and r(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 11*h**8\/336 + 3*h**5\/20 - h**4\/8 - 2*h**2 - 23*h. Find the third derivative of t(m) wrt m.\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*c - 31499 + 62642 = -41521 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 273\/(-14)*4\/81 and (140\/130)\/(-7) + (-1928)\/(-2730).\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34366 + -11933. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -4*k, 3*s - 5*s + 8 = 4*k. Suppose 2*n = -k + 17. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 21 = 5*f. Let o be f\/28 - 13\/4. Which is the nearest to 1? (a) o (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 - 5*o + 4. What is q(5)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/3)\/((-15)\/(-135)). Let n = 343 + -337. Calculate the greatest common factor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52076.78nm?\nAnswer: 0.00005207678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a**2. Let q(m) be the second derivative of -3*m**4\/4 - 5*m - 1. Give q(l(i)).\nAnswer: -1296*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + t**2)*(-2*t**2 + 3*t**2 + 2*t**2)*(-19*t + 1332 - 1332).\nAnswer: -57*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -588 in decreasing order.\nAnswer: 2, -3, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 782, -4 in decreasing order.\nAnswer: 782, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 334, 363, 366, 331, 246?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s - 95*s + 6264 = 214*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 10474462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u**2 + u + 1. Let n(h) = -7*h**3 - 5*h**2 + 5*h + 3. Let w(i) = -i**2 + 5*i - 5. Let g be w(0). Determine g*x(r) + n(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1645*j - 2198*j - 5802*j)*(0*j**4 + 6*j**4 - 2*j**4).\nAnswer: -25420*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 1525777848?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72315 divided by -14463?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141633 is divided by 47210.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = j - 150, 2*l - 5*j - 60 = -0. Suppose -3*t = -3*d - l, 0*d + 15 = t - 2*d. Which is the closest to -0.1? (a) t (b) 4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.2, -5, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*i + 41, -12*t - 15*t = 8*i + 213 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -10 (c) -152946\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 r when four letters picked without replacement from xxrxddmrxxxx.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 9*x**2 - 233*x + 739. Determine y(4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, 1, 11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose 0 = -4*k + 4*t - 36, k - 3*t - 25 = j*k. Let h = k + 19. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqq when three letters picked without replacement from fqqrhthtqhthfq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/49 and -121\/42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2863 - -127?\nAnswer: -2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - -1*sqrt(27))**2*-2.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 - 334. What is the smallest value in 3\/76, h, 3?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**4 + 36*i**3 - 104*i**2 + 16*i + 176. Let a(w) = -w**4 + w**3 - w**2 - 2*w - 1. Let x(n) = 16*a(n) + z(n). Factor x(u).\nAnswer: -4*(u - 10)*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(448) - (sqrt(448) + 0)) + -3 - sqrt(448)) + (6*(2 + sqrt(448)) - sqrt(448)) - (2*sqrt(448)*3 + -5))*-3)**2.\nAnswer: -4032*sqrt(7) + 17892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -12. Let c be ((-43)\/f - 3)*295. Suppose -2*w + w - c = 0. What is w rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1364 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1192*f - 14292. Let y be c(12). Let o = -1 - -1. Calculate the common denominator of ((-34)\/y - (o + -2)) + -2 and 51\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -6419?\nAnswer: 16\/6419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 44, 16 in ascending order.\nAnswer: -1, 16, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l + 24. Let c = 51 + l. What is the remainder when c is divided by 116\/6 + (-7360)\/2208?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*20\/18*9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*c = 7*o + 34, 4*c = -20. Let z be o\/(-6)*51\/9. Let 20*m + z*m**2 + 0*m**3 - 13*m**2 - m**3 - 3*m**3 + 12 = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-324)\/(-60))\/27*-5. Which is bigger: 31\/300 or t?\nAnswer: 31\/300","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + s - 1. Let v be w(1). Suppose 22 = -v*b + 4*b. What is the highest common divisor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5*x + 2*x + 2*x - 2*x. Let v be b(-2). Let n be (-6)\/9 + 4\/6. Solve -5*m - 3 = -u, 0 = -n*m + v*m + 3*u + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/300*-12*(1 - -429). Let f = t - -53. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -480\/13? (a) -1\/12 (b) 2\/21 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -860 - -860.306. Round t to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 480578 + 50825978. Let i = s - 20486350. What is i rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = -2*y. Find the second derivative of -3*q**y - 7*q**5 + 3*q + 6*q**5 wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**2 - 2*k**3 + 37*k**2 - 60*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344\/115 - 50\/69. Let d be (99\/45)\/11 + (-1339702)\/(-333090). Let a = d + 2\/11103. Calculate the common denominator of a and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddsm when four letters picked without replacement from {s: 2, o: 3, m: 5, d: 2}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67567000 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -220203 (base 4) in base 10?\nAnswer: -2595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30055523 is divided by 10216?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -2*i - 2, -i = h - 11. What is the greatest common factor of h and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 106.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s\/(s\/s**(1\/5)))\/(s*s**(-2\/7)\/s*s*s**(4\/5)*s) assuming s is positive.\nAnswer: s**(-659\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 194787 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 114. Find i, given that 11*i**b - 2*i**2 + 35*i - 6*i + 6 = 0.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-48)*4\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335 - 333.46. Which is the smallest value? (a) f (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54673069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 4. Let q be w(4). Let o = q - -23. Let a(b) = b + 0*b - 3*b - o*b. Let x(t) = t. Calculate x(a(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*i - 2840*i + 1420*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*u + 138 = 1255, -4*u = 12. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2606*h**2*y + 2*h**2 + 2*h*y**2 + 321*y**2 + 49*y - 2 with respect to h.\nAnswer: -5212*h*y + 4*h + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44803662 by 6.\nAnswer: 7467277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/45 + 491\/720. Calculate the common denominator of 207\/(-6)*3\/(-63) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 minus -159759057648?\nAnswer: 159759056293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(117\/(-43608438)))\/(52\/26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1366725296*b + 1364879439.\nAnswer: -1366725296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033985982339 to five decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -19. Suppose -3*p - 4*s = -5 + 16, s + 3 = -p. Let y be 1 + p - (-2)\/(-8). What is the third biggest value in j, y, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3571 and -28\/13?\nAnswer: 46423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n**3 + 92 - 54*n**3 - 92.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1269.531 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.6*-0.08693.\nAnswer: -5.267958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*i - 3 - 14, -y = 5*i + 23. Let q(m) = -m**2 + 6*m**y - m**2. Let w(t) be the third derivative of t**5\/60 - 4*t**2. Determine w(q(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-2)\/1))\/(1840\/(-184)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(9\/(-3) - -4). Let n be ((-8)\/l)\/(2\/21). Let p = n - 6. Solve -p = 4*u - 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-6293 - 3)\/((-2)\/1))\/(-1)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2585880 + 58767147. Let h be (-2)\/5 + g\/5. Let q = -16136253 + h. What is q rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*((t**15*t)\/t)\/t*t)*t)\/t)\/(t\/t**(-1\/4)*t) assuming t is positive.\nAnswer: t**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*s + 139. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 10:55 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -177, -304, -411, -492, -541, -552?\n\"Answer: w**3 + 4*w**2 - 146*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/(-26))\/((-2)\/4). Let y(p) = -8*p**2 - 8*p - 8*p + 21*p - l*p. Let v(c) = -2*c. Determine y(v(m)).\nAnswer: -32*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + b**3 - 4*b - 28 + (-b + 2*b + 0*b)*(-b**2 + 5*b**2 - 3*b**2) - 3*b**3 + 0*b**3 + 4*b**3 to z*b + j + m*b**3 + w*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1 (c) -1 (d) -8\/409 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4 + 197208*m**3 - 4855652012*m**2 - 282125567592*m - 4093226997602 = 0.\nAnswer: -29, 49331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) + 34\/(-42). What is the third biggest value in l, -13, -2\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/126*(-11 - (30 - 53))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*8\/(-384)*-8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1.12 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50216, -100498, -150782, -201068, -251356, -301646?\nAnswer: -351938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n**3 + 5*n**2 + 6*n - 1. List the prime factors of d(3).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*t - t**4 + t**5 - 102*t - 6*t**3 + (-t**5 + 0*t**5 + 5*t**5)*(1 + 3 - 3) + (-2*t**4 + 5*t**4 - 2*t**4)*(-2*t - 3*t + t).\nAnswer: t**5 - t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 7. Let y be q(-5). Let o = 407 - y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = 0, -2*c + 353*t - 358*t + 131 = 0. What is the smallest common multiple of c and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 28*v**2 - 381*v + 3740\/3.\nAnswer: -(v - 68)*(v - 11)*(v - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -27. Let s(m) = -m + m - l*m**2 - 9*m**2. Let u(g) = 2*g**2. Calculate u(s(r)).\nAnswer: 722*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20b - 52a?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 44*l + 53. Suppose 28 = 3*u - f - 178, 4*u = -4*f + 280. Calculate the remainder when u is divided by z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10064, 20446, 30828, 41210, 51592, 61974?\n\"Answer: 10382*b - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21458 or 20159?\nAnswer: 21458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124.9923 - -125. Round a to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, a: 8, l: 3, z: 2}. What is prob of picking 2 l and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 37, 37, 21, -17, -83, -183, -323?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 - 13*z - 132. Calculate t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32142, -64308, -96474, -128640, -160806?\nAnswer: -192972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2643, 4 in increasing order.\nAnswer: -2643, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 21 = 18*q + 104 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnne when four letters picked without replacement from ennennnngegn.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -29 - 715. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 11 = -g. Let b be 4 + (-4)\/16*-4*g. Solve -b*d + 5*d + 3*q = -7, 14 = 5*d - 3*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/63)\/((-1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177584603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**2 - 38*c**2 - 59*c**2 - 2*c**2 to w*c + l + o*c**2 and give o.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k + 343. Let i be n(-6). Calculate the greatest common factor of i and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 2, j: 4, x: 1, f: 1, w: 1}. What is prob of sequence jf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 50. Calculate l(16).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7391 + 74690. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 10*n**4 + 10*n**3 + 20*n**2 + 8*n + 6. Let f(v) = -11*v**4 - 9*v**3 - 20*v**2 - 8*v - 7. Let d(c) = -6*f(c) - 7*x(c). Factor d(z).\nAnswer: -4*z*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 25*n - 20 = 0. Let o be n\/(-24) + (-2 - 145\/(-6)). What is the greatest common factor of o and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*z + 372127 = -3456*z - 21173 for z.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*f = 58, f + 22 = 3*i + 6*f. Suppose 4*z + i + 7 = u, 0 = u - 3*z - 17. Suppose 3*h = u + 10. Solve -28 = h*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -3.3. Let r = -3.1 + -13.9. Let z = r + 19. Sort z, w, -1\/6 in descending order.\nAnswer: z, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464466162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.7363 and 377604?\nAnswer: 377601.2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:38 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2915304, 0.5.\nAnswer: -2915304, -7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 461\/291?\nAnswer: 461\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -442 + 455. Solve -4*w = 4*g + c + 3, 14 = -2*g - 5*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (483\/28)\/((-678)\/(-1808)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -243436 and 4440.\nAnswer: -1080855840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1573) - ((sqrt(1573) + 0)*6 + sqrt(1573)))**2*-1 - -2*sqrt(1573)*-6*5).\nAnswer: -56629 - 660*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v - 796 - 1404 = 0 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -22*z**2 + 1\/6*z**4 - 1\/20*z**5 + 0 + 0*z - 1\/60*z**6 + 11\/6*z**3. Is i(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 204 - 10*p**3 - 69 - 64.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8490, 8501, 8532, 8589, 8678, 8805, 8976?\n\"Answer: g**3 + 4*g**2 - 8*g + 8493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**3 - 51*r**2 - 43*r + 111. What is the hundreds digit of t(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 divided by -36017?\nAnswer: -1593\/36017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 = 5*y, -3*c + 5 = -4*y - 0. Solve -1 = -j + d, 2 + 7 = c*j - d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2 = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303 + 303.187. Let d = -3.187 + k. Let y = 4.6 + -5. Which is the closest to d? (a) -2 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2, 11 in decreasing order.\nAnswer: 11, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 2. Let q be m(6). Let f(t) = -4*t - q*t**2 + 2 + t**3 - 3 + 2. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b362 (base 12) to base 16.\nAnswer: -4c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2619094 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.4 less than 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 5*k**3)*((0 + 0 - 2*k - 1 + 1 + 2*k + (5 + 1 - 4)*(3 - 3 + k))*(-4*k - k + 3*k) + (33*k + 41 - 41)*(-2*k + k + 3*k)).\nAnswer: -310*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let w = q - 3. Let y = w + 9. What is the highest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7632048\/2162 + (-4)\/46. Suppose 4*q - 4*j = 3524, 4*q = -0*q + 2*j + l. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2064.5 - -2065. Let d = 0.28 - 0.24. Sort y, d, -3.\nAnswer: -3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -20*i - 2*r + 42, -15*i + 8*i + 24 = -5*i + 4*r for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.53*-5.\nAnswer: -222.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.1432ns to milliseconds.\nAnswer: 0.0004621432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 39*l - 34*l + 4, -5*l + t - 1 = 0. Suppose l = -3*d + 109 - 94. Solve 4*f = -5*a + 8, d*a - 26 = 2*f - 0*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.68008 - 0.18008. What is the closest to 2 in 0.4, n, 0, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Let h be 200\/(-3)*(-15)\/(-10). Let o(r) = -40*r**2 + 50*r + 50. Let d(m) = -m**2 + m + 1. Let s(a) = h*d(a) + 2*o(a). Determine q(s(t)).\nAnswer: 1600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3) + (20 - -5) + -9 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 + 0*c**2 - 2*c**2. Let l = 9 + -7. Let j(g) = g**l + 1 - 3 + 2. Determine j(k(f)).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 0 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/90 and 16\/117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6973\/2 (b) -0.3 (c) 126 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 46688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l - 145. Let u = -9 - l. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 33. Let s be t(7). Let n be ((-6)\/9)\/(s\/(-21)). Solve -n - 13 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + 1) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1cd72?\nAnswer: 1cd73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 147 = 0. Suppose 7*n - 3*n = 100. Calculate the remainder when l is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 0*s**4 - 10*s**2 + 4*s**4 - s**2 - 4*s**3.\nAnswer: 4*s**2*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*l - 2*l + 6, 0 = 3*l - f - 6. Calculate the common denominator of ((-53)\/(-14))\/(l\/6) and (-95)\/4*1\/(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 850 = -8*j + 3*j, 5*j = -3*c + 885. Suppose -2*l - 5*v + j = -4*l, -5*l - v = 489. Let n = -11 - l. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 + 1674800*s - 31823005 = 0. What is s?\nAnswer: -334979, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from fjsfcujjrcsfjfffjj?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, -2\/17, -1, -2, 0.1, -5.\nAnswer: -5, -2, -1, -2\/17, 0.041, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9691300106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -325.24.\nAnswer: 329.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c - 4. Let f(k) = 51*k**2 + 3. Calculate f(v(h)).\nAnswer: 9996*h**2 - 5712*h + 819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**7\/14 - 9*a**6\/10 + 6*a**5\/5 - 5*a - 6. Determine o, given that s(o) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5889 + -5879. Calculate the highest common divisor of a and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-8)*(-68)\/(-3). Let a be (-1)\/(-2) - 26\/b. Let n be -1*(2 + -2 - 0). Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 2, t: 1, l: 1, r: 1, n: 1}. Give prob of picking 1 t, 1 d, and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*a + 15, 66 = 5*l + a - 9. Find the common denominator of ((-112)\/8)\/(24\/l) and 149\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 175*n**2 - 6 - n**3 + 174*n**2 + n)*(-3 + 1 + 1) to m*n**3 + s*n**2 + g + a*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1958395, -1958397, -1958401, -1958407, -1958415, -1958425?\n\"Answer: -a**2 + a - 1958395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212212 (base 3) to base 9.\nAnswer: -785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57435736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 2*y**2 - 7*y + 2. Let x be t(-5). What are the prime factors of x\/(-8) - (-12)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3) + (1 - 12\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21105607, -42211213, -63316819, -84422425, -105528031?\n\"Answer: -21105606*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 q when four letters picked without replacement from {x: 17, q: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 4*i - 25. Let t be c(15). Let k = t + 191. Solve 11 - k = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241 + -10?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68892, 277060, 624008, 1109736?\n\"Answer: 69390*s**2 - 2*s - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 3*i + 6. Let x(t) = -5*t - 7. Let f(p) = -1. Let j(h) = 4*f(h) - x(h). Calculate the remainder when j(5) is divided by u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131378464 divided by 32844616\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14d (base 15) in base 11?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.48 + 3.5. Let l = -0.02 + c. Let t = l + 1.11. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(45045\/(-156))*((-42)\/20)\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q*q)\/q*(q\/q**(1\/5))\/q)\/(q**1*q)**(-5\/3))\/(q**(-1)*q**(-3))**(-16) assuming q is positive.\nAnswer: q**(-913\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 3\/2, -0.03, 4, 0.06, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 1.2. What is the second biggest value in 5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -2a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 52*i - 4 + 5 - 41*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 27*n**2 - 291*n + 315.\nAnswer: 3*(n - 15)*(n - 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -121. Let s = 114 - l. Let g = 17 + -13. Which is the second smallest value? (a) g (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26985661?\nAnswer: 47, 574163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z**4 - 3*z**3 + 3*z**2 + 2. Let k(j) = -12*j**4 - 4*j**3 + 4*j**2 + 3. Let d(n) = 4*h(n) - 3*k(n). Differentiate d(b) wrt b.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/4)\/((-156)\/1116024*73).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/39434 and 64\/3291.\nAnswer: 129777294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*q**2 - 1393*q**2 - 2302*q**2 - 2575*q**2 in the form j + i*q**2 + f*q and give i.\nAnswer: -5972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*j**4 + 135*j**4 + 119*j**4 + 671 - 15*j**4 wrt j?\nAnswer: 1192*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 321*y + 9. Let n(j) = 32*j + 1. What is -2*a(x) + 21*n(x)?\nAnswer: 30*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -294688.999 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.45 * 1.\nAnswer: 14.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -3, 3 in decreasing order.\nAnswer: 224, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734729322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -117. Solve -17 - 3 = g*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*((-3)\/(-9))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17217693 or -17217691?\nAnswer: -17217693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 35 = -2*b. Differentiate -30 + 9*q**2 - b*q**2 - 16*q**2 - 12*q**2 with respect to q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 11*y**2 - 11*y. Let u be l(12). Let k(j) = -j + 26. Let b(i) = 27*i**2. What is the remainder when b(1) is divided by k(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 723504 and 2544?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -711909, -1423817, -2135725, -2847633, -3559541?\n\"Answer: -711908*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*k - 306*m + 307*m, -4*k - m - m = -38 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2231 + 35679\/16. What is the common denominator of g and 119\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31486\/17 + 1852. Let z be (-5 - -3) + (156\/25)\/3. What is the fourth smallest value in n, z, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 41855989?\nAnswer: -41855992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329535.2 rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/h**(-3)*h\/h**(1\/3)*(h**(3\/4)\/h)\/h*((h**(-5)\/h)\/(h*h**2*h))**(-1\/51) assuming h is positive.\nAnswer: h**(941\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) -0.4 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2649 - 2624. Let d = 4 + -3. Let h = d - -5. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84617479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*-16*(-20)\/(-160).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*j**3*x**2 - d**3*j**2*x**2 + 2*d**3*j**2*x + 145*d**2*j**3*x**2 - 98*d*x**2 wrt j?\nAnswer: 6*d**3*x**2 + 870*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -60906 at most -62894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-2))\/((-10)\/83298). Let g = h + -24743. Let y = 241 - g. Is y != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0.5, -1\/5, 4, -2\/7, -3\/6560?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 68*q**2 - 963*q - 175. Determine f(-48).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1680 and 33576060.\nAnswer: 134304240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g. Let w(s) be the third derivative of 5*s**4\/24 + 27*s**2. Calculate n(w(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 383.\nAnswer: -36\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-384)\/60)\/((-4)\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202678248*h**4*y**2 - 1079*h**2*y + 35*h**2 + 35*y**2 wrt h.\nAnswer: 4864277952*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -41.926?\nAnswer: 4.1926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (130\/(-4))\/(31 - 30). Which is bigger: z or -34?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 2*b + 6. Let p(a) = -a**3 + a**2 + 3*a - 6. What is -3*d(i) - 2*p(i)?\nAnswer: 2*i**3 + i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -22*w + 15. Let k = 3338 - 3337. Give z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, 413, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24834 by -12417.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-1 + 4 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.05692097 rounded to 4 dps?\nAnswer: -6.0569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 673030 and 110.\nAnswer: 7403330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/4 (b) -5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvxhhuuhnxxuuvnhu. What is prob of sequence xnvx?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1934, -1940, -1938, -1928, -1910?\n\"Answer: 4*h**2 - 18*h - 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-7) + (-2088189)\/5628 + 369.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9911727 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 452064\/112 - 1\/(7\/2). Suppose -133*s + 137*s = k. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) - 7\/(-9). Let o be 1 + 1 - (-65 + s). What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g - 12*g)*(0*g - 4*g + 2*g + (0*g - g + 0*g)*(-3 + 3 + 2) - g + 2 - 2) - 6*g**2 + 3*g**2 - g**2.\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*g + 2*c, g + 0*c - 3*c - 11 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (-1)\/(-3). Let s = 16 - f. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(10)\/((2*sqrt(5) - sqrt(5)) + sqrt(5)) + sqrt(2)*-1 + 4)**2 + 1.\nAnswer: -4*sqrt(2) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*w - 23. Let v = w + -5. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 42*k**2 - 10*k + 42. Let z be v(3). Suppose 4*w - z = -26*w. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/2 - 237*q**3\/2 + 3780*q**2 - 20482*q = 0.\nAnswer: -266, 0, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-7)\/p)\/p)\/p)\/(p\/p**5))**0\/((p**(3\/2)\/p)\/(p*p\/p**(4\/3))*(p\/(p\/(p*p**(-1))))**(-10)) assuming p is positive.\nAnswer: p**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137697 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3544 - 3506. Let h(v) = -5*v. Let m be h(-1). Let s = 13 - m. Calculate the lowest common multiple of s and g.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -71. Let u = c - -42. Let m(b) = 3*b + 30. Let g be m(u). Solve -2 = x + g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/(1*(-4)\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.31, -0.5 in increasing order.\nAnswer: -0.5, -0.31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/9)\/(g**6*g)*(g\/(g*g**(-4\/3)*g))\/(g\/((g*g*g*g**(-1\/4)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-221\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to 5051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 9\/(-225)*-10*(-25)\/(-40)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(242).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2)*(-416)\/(-39). Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/5 - 981*f**3\/5 + 73203*f**2\/5 + 1013301*f\/5 + 939114\/5 = 0.\nAnswer: -11, -1, 153, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55501658 - -23?\nAnswer: 55501682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72681 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513 - 253. Suppose 4*p = 3*w + 6*p - 152, -5*p + d = 5*w. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 - 5*f**2 + f + 2. Suppose -5*s = 4*w + 40 + 9, 3*w = s - 13. Let c(z) = -5*z**3 + 6*z**2 - 2*z - 2. Calculate w*u(k) - 5*c(k).\nAnswer: k**3 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-360)\/32)*(-10)\/4. What is the third derivative of 20*z**5 - 9*z**5 - 48*z**5 - 11*z**a wrt z?\nAnswer: -2220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -65, -98, -147, -218, -317, -450, -623?\n\"Answer: -v**3 + v**2 - 19*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 + y + 63. Let x be o(0). Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 7. Suppose x*i + 33 = 10*i. Calculate the remainder when 32 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 8. Suppose 6*d - 7 = -d. Suppose 4*v = -z + c, 0 = -4*v - 4*z - 5 + d. Calculate the highest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247*o - 11771 = 3968 + 11695 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 67051.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -5*h**3\/6 + 7*h**2\/2 + h + 2. Let n(x) be the first derivative of i(x). What is the remainder when n(-6) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -31*y**4 + 78*y**2 - 2. Let d(m) = 62*m**4 - 157*m**2 + 5. Let k(o) = 2*d(o) + 5*l(o). What is the third derivative of k(a) wrt a?\nAnswer: -744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -88. Suppose 29 = 3*v + y, 4*v - 16 = -5*y + z. Solve -4*f - v = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {p: 8, q: 5, m: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((sqrt(125) + 0)**2*3 - sqrt(125)) + 0.\nAnswer: -5*sqrt(5) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -36*w - 3. Let r(s) = -501*s. Determine x(r(a)).\nAnswer: 18036*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 119 = 6. Solve 2*j = h*f - 7, 3*j - 7*f + 8 = -2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.22, -21, 3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46397596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let k(s) = s**2 + 6*s + 73. Give k(i(t)).\nAnswer: 9*t**4 - 18*t**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178\/165 - 96\/55. What is the nearest to 3 in z, -47, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 0 = -8*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 278 (b) 5.8 (c) -5\/2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1170717148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6195, -2, 6 in descending order.\nAnswer: 6195, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = -4*n, 5*s + 2*n - 35 = -3*n. Suppose -2*b - 38 = -s*b. Suppose 5*o + b = 2*d - 12, 5*o + 22 = -d. Solve d*q = 3 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9257?\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11496, 23004, 34506, 45996, 57468, 68916, 80334, 91716?\nAnswer: 103056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/10)\/((27\/(-135)*5\/(-2))\/1).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*p**2 + 456*p**2 - 3*p**3 - 227*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2146.\nAnswer: -3\/2146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - p + p)*(2240*p**2 + 2262*p**2 - 603*p**2) to the form u*p**2 + v + b*p**3 + o*p and give b.\nAnswer: -11697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28485 is divided by 205?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185 - 1185 - 5*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 255598339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*q - 35 = 3*n, q = -n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 63*r**7\/2 + 35*r**3\/3 - r**2\/2 - 240*r. Find the second derivative of z(v) wrt v.\nAnswer: 26460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/((-12)\/(-32)). Is 2 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61220219 is divided by 61220207?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -10, 0 = -490*l + 489*l + 12*x + 79. Solve -y + 2 = d, -l*y + 18*y - 3*d + 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y + 11*y + 9*y + (2*y - 17*y + 0*y + (-1 - 1 + 4)*(2*y + 4*y - 5*y) + 3*y - 2*y + 0*y + 3*y - 2*y + 0*y - 3*y + y + y)*(-1 + 3 - 4).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1220021 + -2.7122991. Let l = -2.4377 - 0.1523. Let x = m - l. What is x rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.085 - 39.085. Let v = l - 246. Let d = -286.63 - v. Round d to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2\/2 - 3*j - 1. Let t be b(0). Let s(f) = -f**2 + 11*f - 26. Let i be s(2). Put t, 1, i in ascending order.\nAnswer: i, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -523955680 to the nearest 100000.\nAnswer: -524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) - (sqrt(847) - 2*sqrt(847))) - 3*(sqrt(847) + sqrt(847) + -4))*4 + -5.\nAnswer: -352*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 6*t - 5. Let o be q(3). Let d = o - -35. Let b(g) = g**2 - 5*g**d - 2*g**3 + 3*g**3 + 3*g**3. Calculate b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 390*y**3 - 4*y**2 + 24. Let n be k(-6). What is n rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11520 = 376*s - 373*s. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2201 - 402344?\nAnswer: -410100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-36)\/8*2. Let n = 30 - h. Suppose -n*u + u = 2. Which is the third biggest value? (a) 2 (b) -7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - 386. What is the closest to 1 in 2, k, 3, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*q**4 - 55*q - 6*q - 9*q**2 - 42*q wrt q.\nAnswer: -84*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 3. Let w be y(8). Let q = w - -31. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.022, 0, 5, -0.5 in descending order.\nAnswer: 5, 0, -0.022, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 3*t - 33 = 3*q, -135*q - 18*t = -173*q - 177 - 84 + 63 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 11*x - 156. Suppose -141129 = -14*r - x*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x**2 + x)*((2*x + 2*x - 3*x)*(-2*x + 3*x - 3*x) + (1 - 7 + 3)*(-2*x + 2*x + x**2)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 281657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {y: 7, n: 3, c: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 75\/4 of a millimeter?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4818\/6817?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -640\nAnswer: 7\/640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from iicccicivcviiicivc.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2418527 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*a - 0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7706815 - 2221.6.\nAnswer: -7709036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-20) + 708\/(-180).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 78*v**2 - 60*v + 5209. Give n(-80).\nAnswer: -2791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**4 + 33*d - 32*d - 12*d**4)*(-4 + 4 + 2).\nAnswer: 2*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -744.2 - -56.2. Let f = -711.955 - m. Let t = f - -24. Round t to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + -4.85. What is the smallest value in -2\/7, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 + -6 + (-175)\/14. Let p(w) = w + 55 - 100 + 66. Let j be p(c). Solve j - 10 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10389045 or 10389042?\nAnswer: 10389045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688024 <= 1688018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 9 + (5 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*h**2 - 3*c**3*h**3 + 1541*c**3*h - 4*c**2 - 2*h**3 - 6*h**2 + 11 wrt c.\nAnswer: -24*c*h**2 - 18*h**3 + 9246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*i**3\/11 + 32636*i**2\/11 - 31122*i\/11 - 1556\/11 = 0. What is i?\nAnswer: -778, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649968553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 1. Let i(y) = 12*y**3 + 9. Suppose 4*h - 44 = 6*p - 7*p, -5*p + 2*h + 176 = 0. Give p*x(a) - 4*i(a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397.79 - 396. Let i = -0.21 - x. Let s = -4 - i. Which is the nearest to s? (a) -5 (b) 3\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1988 and -17\/140.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 839.916142 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 8)\/((-10)\/241) + 4\/5. What is j in -k - 1\/9*j**2 + 14\/3*j = 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -2*d - 8, 16 = -4*d - 4*y. Let x = 2 + -10. Is (-12)\/x + (-78)\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let p = 180 + -180. Let o(j) be the first derivative of -1\/3*j**3 + 0*j + p*j**2 + 3. Determine o(g(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 43 + 78 = 0. Let y(x) = 4*x**2 + 9. Let f(m) = 3*m**2 + 8. Give s*f(k) - 4*y(k).\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 983209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 + w**4\/4 + 2*w**3 + 129*w**2. Give r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -32.8. Let u = g - -3. Let y = 4600\/13 - 354. Which is the nearest to 2\/3? (a) -3\/2 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 5*a - 4. What is the tens digit of t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwbmwywwmymwmbbim. What is prob of picking 2 w and 1 b?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**8\/2352 + c**7\/490 - c**6\/840 - c**5\/140 + c**4\/84 + 41*c**2 - 14. Solve x(t) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-2\/7)*((a\/(a**(3\/2)*a))\/a)**(2\/25))**(-2\/29) assuming a is positive.\nAnswer: a**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 divided by 2?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by ((-3 - -4) + -10)*-2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/16 and 19\/802.\nAnswer: 6416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*n*z**2 + 6*l**2*z**2 - 3*l**2*z + 377*l**2 + l + 2*n*z**2 - n + 32*z**2 wrt z?\nAnswer: 6*l**2*n + 12*l**2 + 4*n + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i. Let m(w) = 5*w + 2. Let k(s) = -27*s + 2. Let h(f) = -k(f) - 4*m(f). What is u(h(t))?\nAnswer: -28*t + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -85*s**3 + 11*s**2 - 20*s + 5. Give c(2).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -113.26.\nAnswer: -67.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22610 and 103360.\nAnswer: 723520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49793 - 3*b + 49966 - 99759.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + z - 2. Suppose 0*x = -4*x + 180. Suppose -5*a - 10 = -x. Calculate the smallest common multiple of b(5) and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 - 4 = 0. Let i(u) = -2*u**2 - 4*u - 6. Let d be i(8). Let q = d - -243. Calculate the highest common factor of q and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224619 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. Suppose x*b = 2*y + 170, 15 = -2*y + 5*y. Suppose f = 13 + 7. What is the greatest common factor of f and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14\/(-3))\/((-2)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 59716123.\nAnswer: -5\/59716123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-106)\/(-8). Suppose -q - 3*x + 6*x = -b, -3*q = 4*x - 39. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-14) + 112 + -115\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 0.3, 2\/7, -0.2, -1\/3 in ascending order.\nAnswer: -9, -1\/3, -0.2, 2\/7, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 3 + 0 - 6 + 0. Let f(x) = -1. Let n(l) = -3*f(l) + h(l). Let s(c) = 13*c. Determine n(s(v)).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13268540.\nAnswer: 2, 5, 307, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/10*(-10)\/(-15))\/(3\/(-576)). What is the highest common divisor of i and 1656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7536*u - 157. Let m(x) = -145*x - 3. Calculate 314*m(a) - 6*y(a).\nAnswer: -314*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:12 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:20 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z + 0*z + (2*z - z - 2*z)*(0 - 3 + 5) + 0*z + 0*z + z - 4*z + 4*z - z)*(-2674 + 1499 + 1597) in the form g*z + f and give g.\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) -3\/2 (c) 0 (d) -3\/4 (e) 16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3733178?\nAnswer: 2, 461, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n = -25*n + 469 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 15416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 664271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35216939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = 5*h, 0 = 9*h + 5*r + 73 + 20 - 44 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, x: 2, q: 4, a: 1}. What is prob of picking 1 q and 1 x?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let b(p) = -4*p**3 - 2*p**2 + 1. Let a be b(-1). Suppose 0 = -0*j - a*j - 9. Put 3, f, j in increasing order.\nAnswer: f, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 115 = 9. Let u = -3 - k. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -575\/1887 - -12\/37. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let w be y(-4). Which is the third smallest value? (a) 1\/4 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-33)*s**(-20))\/(((s\/s**24)\/s)\/s*s*s**28) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129548 - 129548 - 15*w + 8*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 125 = 6705*r - 6710*r, 2*q - 9 = 3*r + 3*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -1\/6*o**2 + 1\/30*o**5 + 0 + 1\/30*o**6 + o - 1\/18*o**4 + 1\/126*o**7 - 1\/6*o**3. Factor g(j).\nAnswer: (j - 1)*(j + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-539722 + -78)*(-10 - 0). What is n rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 12*d + 39. Give o(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1576*z**2 - 1578*z**2 + 3155*z**2. Let q(r) = 17*r**2 + 2*r**2 + r**2. Give q(m(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200340)\/195)\/36 - -29.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48706995.\nAnswer: 3, 5, 3247133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(o - 69*o + 14*o) in the form s*o + l and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 2\/9, 0.27, -7, 89\/5 in decreasing order.\nAnswer: 89\/5, 2, 0.27, 2\/9, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/19 - 28*t**3\/19 - 90*t**2\/19 - 104*t\/19 - 40\/19 = 0. What is t?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1249 (b) 1 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610938?\nAnswer: 2, 3, 601823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3328 and 32553248?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 164792\nAnswer: 659168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**9\/1512 + n**6\/120 + n**3\/3 + 1. Let c(o) be the third derivative of v(o). What is the third derivative of c(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-1)\/(-6))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 753150208*p - 35452202238152704.\nAnswer: -4*(p + 94143776)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4697 - -4841. Suppose 3*c = 5*w - 270, 0*w = -w - 3*c + 72. Let a = w + -39. What is the greatest common factor of l and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068864?\nAnswer: 2, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h + 470 + 75 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -8. Let m be (-8)\/x - (-16)\/40. Suppose -2*r - 6 = -m. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 59. Suppose r*l = -0 - 18. Let d(s) = -23*s - 7. What is the tens digit of d(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/63*1\/(-2). Let u = -1541 - -1543. Put b, 4, u in decreasing order.\nAnswer: 4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 24. Let o be (-2 - 27\/(-6))*(-2 + d). Let z(a) = a + 1. Let r(x) = 3*x + 1. What is o*z(b) + 3*r(b)?\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3796969324?\nAnswer: 2, 949242331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) -791 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129b4 - -1a?\nAnswer: -12999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvzzvzz. Give prob of picking 2 v and 2 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 125654142 (base 7) to base 9\nAnswer: 16236813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + o. Let x be t(-1). Let r = -15.5 + 18.5. Which is the fourth smallest value? (a) x (b) -2 (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c + 392. Let h be i(24). Suppose 0 = 3*w - 4*v - 436, w - 4*w = 3*v - 408. Calculate the greatest common factor of h and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2143, -2147, -2153, -2161, -2171, -2183, -2197?\n\"Answer: -g**2 - g - 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 661 - 3306\/5. Put 0.42, l, 1\/7, 0.2 in ascending order.\nAnswer: l, 1\/7, 0.2, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -608, -617, -626, -635, -644, -653?\n\"Answer: -9*l - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/10, 0, -0.065, -0.4, 2\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3051*s. Let n(c) = c + 461. Determine i(n(p)).\nAnswer: 3051*p + 1406511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*d = 8*d + 4, d + 8 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 1 + 3*b + 4 - 4*b. What are the prime factors of y(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 3*o = -75 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 31*l - 33*l + 6068 = 0, -5*p + 4*l = -10128. What are the prime factors of p?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 smaller than 485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 times 242069?\nAnswer: -6777.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3990 - -3995. Let d(q) = -4*q**2 + 19*q + 4. Calculate d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7408760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3164 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 2*y - 4*y + 3*y - y + 1 - 1 - y + (1 + 2*y - 1)*(3 - 2 + 1) + 4*y + 0*y - 3*y)*(3*y**3 - 3*y**3 + 2*y**4).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 42*b = -89*b - 2*x - 19, -4*b + 10*x + 61 = -b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -7\/4, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 9606699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 11535622?\nAnswer: 11535630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 6.01. Let o = -1 + r. Let t(a) = -a**3 - 43*a**2 - 2*a - 90. Let k be t(-43). What is the smallest value in -11, k, o?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1077352 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + -0.09. Let z = -0.21 - s. Is z bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6840 + a - 6840.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let u = 0.1 - 0.3. What is the nearest to 1\/3 in p, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 7431*g**5 + 4473468*g**4 - 48405*g**3 - 31358862*g**2 - 26866092*g - 21672 = 0.\nAnswer: -602, -2, -1, -2\/2477, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8984641 at least as big as 80861765\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38605577 and 37.\nAnswer: 38605614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/11*l**3 + 4624\/11 + 884\/11*l - 64\/11*l**2 = 0. Calculate l.\nAnswer: -4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 + 6 = 4*g, l = 4. Calculate the remainder when (18\/27)\/(2 - 100\/51) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 + 4*m. Let o(t) be the second derivative of t**4\/6 + 4*t. What is l(o(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17779 and 4968?\nAnswer: 3840264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9520\/(-6188))\/((-6)\/91)*4\/21.\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 981*s + 221709. Give n(-226).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 1 - 2 + (-5*t + t + 2*t)*(-3 + 4 + 1))*(3*t**3 + 90*t - 90*t).\nAnswer: -15*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u - 16*u + 39*u = 3840. Let z = 331 + -99. Calculate the remainder when z is divided by u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-5) + -2 - 133\/(-35). Suppose x*z - 5*w = -w + 376, -3*w = 12. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((16\/(-2))\/4). Suppose 0 = -y*m - 2*m + 10. Solve -20 = m*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d*j**3*n**3 - 2*d*j**2*n**2 - 3*j**3*n**3 - 7*j**3*n**2 - 2*j**2*n - 20*j*n**3 - j wrt j?\nAnswer: 42*d*n**3 - 18*n**3 - 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6048 and 2636496.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v - 390598 - 342266 = 3*v. Is -16656 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1830 and -27\/8?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -30)*4\/(-3). Let q = 105 + -151. Let j = h - q. Solve 5*v + j + 3 = 2*c, -v + c - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35698 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(156*q - 37 + 22 + 16).\nAnswer: -312*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/4293 + 38629\/17172. What is the second smallest value in -0.1, y, 0.5, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261 * -36\nAnswer: 9396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - 2) + 0 - 8. Suppose -12 = 8*i - 9*i. Let y(d) = 2*d. Let m be y(2). Solve -m*t + p + i = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -393\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 129.8. Let r = 130.000017 - h. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147074\/767025 - (-8)\/(-50)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.227 - -50.727. Let h = 110.5 + a. Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2245*-1706\nAnswer: 3829970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 5. Let p be i(1). Suppose -5*b + 24 = -b - 5*j, -2*b - 14 = 4*j. Calculate the remainder when (-15)\/20*p\/1*-2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -34*o**2 - 12*o - 6. Let g(u) = -34*u**2 - 10*u - 5. What is 4*f(i) - 5*g(i)?\nAnswer: 34*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 + 4*o + 3. What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let j(y) = 161279 + 1920*y - 161279. Give o(j(n)).\nAnswer: -1920*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 745.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -7*i**5\/20 - i**4\/8 + 7*i**3\/12 + i**2\/4 + 5. Factor k(x).\nAnswer: -x*(x - 1)*(x + 1)*(7*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-7))\/u))\/(u\/u**(3\/5)))\/((u\/(u\/(u\/((u\/(u*u**(-3\/4)))\/u))*u))\/u**(-7\/5)))**46 assuming u is positive.\nAnswer: u**(2737\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.055? (a) -5 (b) 4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -2\/9*w**3 + 2 + 0*w**4 + 0*w**2 + 1\/15*w**5 + 1\/3*w. Let j(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 5. Let i(a) = 11*a - 15. What is 7*d(s) + 2*i(s)?\nAnswer: s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12273, -24543, -36811, -49077, -61341?\n\"Answer: k**2 - 12273*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (288\/(-56) + 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908 is divided by 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 58*s - 2947 = -7197. What is the greatest common factor of s and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-8))\/(-1) - (-68750)\/(-2200) and -47\/3588.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.091171m to millimeters.\nAnswer: 8091.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 1 - 1)*(-2*s**2 - 4*s**2 + 0*s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 6*d = -75, 1014*d - 139 = -5*l + 1011*d for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + y. Calculate p(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -3, -17, -57, -135?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35940 or -35937?\nAnswer: -35940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 181607*r - 544836. What is n(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let w(a) = a**2 + 16*a - 50. Let p(h) = 6*s(h) + w(h). What is the units digit of p(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = o + 2, j = -4*o + 13. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -134, -109, -74, -29, 26, 91?\n\"Answer: 5*i**2 - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 6 = -3*l. Suppose -2*d - 20 = -l*d. Let b be (1\/(-1) + -1)*-1. Solve -2 - d = b*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*n**2 + 895057977*h + 271767263*n**2 wrt n.\nAnswer: -2*h*n + 543534526*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23986598 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22069 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpfproyfccypppocrp. Give prob of picking 2 r and 1 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 88*v**2 + 623*v - 4084. What is x(-95)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 271.\nAnswer: -4\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.0318 (c) 1 (d) -2 (e) 3\/4 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times 0.0407?\nAnswer: 1.1803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + -69?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1990 + 1943 - u**2 - 2*u**2.\nAnswer: -3*u**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(7056) - (sqrt(7056) + (sqrt(7056) - (sqrt(7056) + sqrt(7056)*-1))*3))\/((sqrt(1008) + -3*sqrt(1008) - sqrt(1008))*2*-4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 689533, -0.15, 5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1584)*3*-6)\/(-4*-5*1*sqrt(256)).\nAnswer: -27*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1273.028 and 0.04?\nAnswer: -50.92112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-8)\/90*6. Let z(d) be the third derivative of 0 + g*d**4 + 49\/300*d**6 + 0*d + d**2 - 4\/15*d**3 - 77\/150*d**5. Factor z(n).\nAnswer: 2*(n - 1)*(7*n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 - 10*j + 7 + (-5 - 2 + 5)*(0*j + 5*j + 0*j) in the form p*j + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cromvrqcccmvccccorcc. What is prob of picking 1 r and 1 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*b**5 + 3*b**4 + 418*b**2 + 6 wrt b.\nAnswer: -1140*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 + -2 + 0 + -2. Let p = 22 - y. Suppose 0 = -7*w + p*w + 36. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74 - -148881824287.\nAnswer: 148881824213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*r**2 + r**2 + r**2)*(33*r + 1 - 1 + 2) as b*r**2 + s + t*r + d*r**3 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u - u)*(-5*u + 2*u + 2*u + (3 - 3 - 2)*(-1 + 1 + u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 8*f - 1. Let u be n(7). Suppose 3 - 33 = -u*q. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3, -5, -17\/16 in decreasing order.\nAnswer: 6, -17\/16, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 3*q - 57. Let r = 29 + q. Let y(l) = -l**3 - 13*l**2 - 7*l + 9. What is the hundreds digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 5, b: 3}. Give prob of picking 4 o.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4462 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 6*b + 16, -3*h - 1092*b + 1097*b + 46 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 436204894 to the power of 1\/2, to the nearest integer?\nAnswer: 20886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 412 (b) -4 (c) -1444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354041, 708091, 1062149, 1416215?\nAnswer: 1770289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 8*y + 1. Let k be b(-8). Let h = 3 - k. Suppose 16*m - 7*m = 18. Solve h*p - 3*q = -5, -m = -2*q + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2. Let x(n) = 9*n**2 + 6*n. Let i(f) = -10*f**2 - 5*f. Let y(d) = 6*i(d) + 5*x(d). Calculate -12*t(u) + 5*y(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -511 - 4e02?\nAnswer: -5313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 192872*g**2 - 3087044*g + 3279912.\nAnswer: 4*(g - 48234)*(g - 1)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1488 = 3*i + 480. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 3. Let m be d(-4). Let b be (-1*3)\/(-3)*m. Suppose 52 = b*c + c. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (650\/325)\/(1\/(-8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.5 + 19.50468. Round r to 4 dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 13. Let f = 60 + -58. Suppose 2*t + 6 = -4*k, -f*k + 67 = 2*t + 65. Solve -t*x + p*x = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3 - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:09 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y + 14. Let t be v(8). Suppose n - 5*s - 53 = 0, -3*n + 151 + 32 = -3*s. Let p = t + n. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600)*2 - sqrt(26)) + (sqrt(52) + sqrt(520)\/sqrt(10))\/sqrt(2))\/((sqrt(20)*2*-6)\/(sqrt(250)*5)).\nAnswer: -175*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 11:11 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25327*n**3 - 15 - 50655*n**3 + 500*n**2 + 25327*n**3 - 2*n + 6 to r*n + x*n**3 + q + o*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 8. Suppose 2*z - 2*q - 2*q = k, -3*z = 4*q + 38. What is the tens digit of 36\/(-8)*z + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*r + 520*r - 267*r = -6735 + 48441 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 91358480 to the nearest one million.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.546175817 and -1.1.\nAnswer: -2.646175817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2207618, -2207617, -2207616, -2207615, -2207614, -2207613?\nAnswer: -2207612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*p + 2, -4*w - 3*p = w - 80. Suppose 5*q + w - 168 = 0. Suppose -4*g = -q + 7. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 4*z + 1. Let x(w) = -2*w**2 - 9*w + 2. Let u(r) = -7*q(r) + 3*x(r). Let c be u(-3). Solve c*k + d = -0*d + 4, -2*k + 4 = -2*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5237245847.\nAnswer: 1321, 3964607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.13444 tonnes to micrograms.\nAnswer: 3134440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*j + 3, -2*h + 4*j + 11 = -7. Solve -x + h = -2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 1*(sqrt(475) + 3 + 1 + sqrt(475))*3*3 + 1)**2.\nAnswer: -774945 - 29700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 21*h - 49. Let d be u(-20). What is the common denominator of -1 - d\/36 - (2 + 4) and 59\/78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - u = 2, -3*u + 0*u = -z + 6. Suppose -8*d + 4*d + 8 = z. What is the least common multiple of 3 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - y + 0*y)*(8*y**2 + 0 + 0) to x + c*y**2 + a*y**3 + l*y and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 + 244. Suppose g = 3*l - 15, 0 = -o + 3*l - 6 - 6. Sort -4, -6, o, 1\/2.\nAnswer: -6, -4, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -68. Calculate the highest common factor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -45 - (-33)\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 12 = -z, 32*o - 24 = 6*z + 36*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 52, 53, 54, 55, 56?\n\"Answer: z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 850*h**2 - 6*h - 1. Let u(t) = -849*t**2 + 7*t + 1. Calculate 6*f(w) + 5*u(w).\nAnswer: 855*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*2\/(-6)*30. Suppose -5*q = -q - z. What is the tens digit of 6\/4 + 235\/q + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let q be -11*(-2)\/(-4)*10*-1. Let h(u) = 13 - q*u - 13 + 69*u. Determine h(z(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 17*r. Let a be f(-9). Let l(j) = j**3 - 8*j**2 - 11*j + 12. Determine l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621\/71 + -41273\/3834. Find the common denominator of w and -97\/2286.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6096700?\nAnswer: 2, 5, 41, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67612*j*u**2*v + 5187*j*u*v + 109849117*u**2*v - 6*u**2 wrt j?\nAnswer: -67612*u**2*v + 5187*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and (64\/(-96))\/((-2)\/9).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35712897 is divided by 115.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*d + 23377 = -26573. Is 74 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1217 - 6673 + 22047 + 5890 + 13644 + 5*f**2 + 850*f.\nAnswer: 5*(f + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 196185*w + 217152900.\nAnswer: 5*(w - 38097)*(w - 1140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 81\/5 (b) 1 (c) -5499\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 + 113. Let l(y) = 4*y**2 - 6*y + 4. Let c be l(6). What is the greatest common factor of j and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h - 3*x = 204, -2*h = 3*x + 136. Let d be 766\/(-22) + h\/374. Sort d, -1, 1.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 49*f - 2471. Give r(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/11)\/b)\/b)\/(b\/b**22*b*b) assuming b is positive.\nAnswer: b**(190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.18 from 0.067350366625.\nAnswer: 0.247350366625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 - -1203?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*16\/204. Let h(b) = -b + 2. Let o be h(-6). Let x be 0\/(-1) - o\/10. What is the second biggest value in x, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399554588 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*d + 89*d + 19*d + 9*d - 10*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let x(p) = 1 - 3 + 2*p**3 + 2*p - 55*p**g + 52*p**2. Suppose 2*m = 5 - 1. Give x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 462*p**2 - 5*p + p + 5*p + 4 + 132*p**2 in the form d*p + y*p**2 + t and give y.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.70507 litres?\nAnswer: 49705.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*o - 26310, 5*s - 32897 = -0*s + o. What are the prime factors of s?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 7. Let p be q(6). Let j = -16 + p. What is the lowest common multiple of j and ((-8160)\/16)\/(-17)*2\/20?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -20.9 (b) 5 (c) -3 (d) -6 (e) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 75*s**3 - 1878*s**2 + 78*s - 77. Determine q(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -4, 2\/5 in decreasing order.\nAnswer: 2\/5, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.6 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 7*o + 1, -80*y + 3*o = 86*y - 167*y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 122. Let p(r) = 1. Let m(q) = q - 4. Let x(a) = l*p(a) - m(a). Determine x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 722\/2660 - 12\/21. Sort c, 14, -2\/5 in descending order.\nAnswer: 14, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7884 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**2 - 7*g - 5. Let c(u) = u**2 - 8*u. Let z(r) = 7*r**2 - 40*r. Let y(s) = 15*c(s) - 3*z(s). Give w(y(v)).\nAnswer: -24*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -966150, -3864164, -8694180, -15456192, -24150194, -34776180?\nAnswer: -47334144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23720 and -24.68.\nAnswer: 23695.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3094, 3042, 2954, 2830, 2670, 2474, 2242?\n\"Answer: -18*m**2 + 2*m + 3110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/19 + 32*i**2\/19 - 34*i\/19.\nAnswer: 2*i*(i - 1)*(i + 17)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7899 + 7899.20005. Let c = -60 - -59.8. Let z = i + c. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489728, -979448, -1469168, -1958888?\nAnswer: -2448608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:15 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/6 - 1)*-2. Suppose -1745*w = -1746*w - 4*j + 55, -4*w - 5*j = -88. What is the second smallest value in -1\/12, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b = 11. Suppose -m + b = 7. Suppose -9*q + m*q = 15. Sort -6, q, -1 in increasing order.\nAnswer: -6, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(sqrt(2205) + 2*sqrt(2205) + 5 - (sqrt(2205) - -5*(sqrt(2205)*1 + sqrt(2205)))))**2 + 3).\nAnswer: -26880*sqrt(5) + 2258332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*v**4 - 8*v**4 + 68*v**4 - 41 - 1 wrt v?\nAnswer: 472*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -142*u + 1179. What is the remainder when 212 is divided by y(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2874 is divided by 180.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65.78277l?\nAnswer: 65782.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.44, 1462, 118 in increasing order.\nAnswer: 0.44, 118, 1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.32, -0.5, 2528, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7243419899.\nAnswer: 47, 154115317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -101 (b) 5 (c) 7 (d) -0.5984\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16598847751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-4)\/16 + 11. Let h = u + -2. What is the remainder when h is divided by 4*2\/(16\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and 2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88\/3, -1, -28\/11, 24\/17 in ascending order.\nAnswer: -28\/11, -1, 24\/17, 88\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002446579 to 6 dps.\nAnswer: 0.002447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 229\/2*t + 1\/2*t**2 + 339.\nAnswer: (t + 3)*(t + 226)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -13*d - 50590. Let v = d - 4155. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(272) + 0 + sqrt(68))**2 + (2*sqrt(51) - sqrt(51))\/sqrt(3) + (sqrt(119)*2 - sqrt(119))\/sqrt(7)) + 3.\nAnswer: 8*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128a + 7?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -40b (base 14) to base 3\nAnswer: -1002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -3.2\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25 - 2)*(-5)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w**2 - 2. Let q be n(2). Is q at least as big as -30\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784366 and 13191610?\nAnswer: 145107710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1031013 divided by -66.\nAnswer: -343671\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 220128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13557 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * 351.\nAnswer: 21762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1057176326 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13326 is divided by 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3 + 7 - 5)*(-3*l**2 + l**2 + l**2) as h + b*l**2 + i*l + y*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 689*s**4 - 25216*s**3 - 181411*s**2 + 516998*s - 117520 = 0. Calculate s.\nAnswer: -8, 1\/4, 2, 65, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 1. Let d be ((-12)\/72)\/((-1)\/6). Give s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483.17g in milligrams?\nAnswer: 5483170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -20925 - 16725. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -760\/9, 2\/7, 0.1, 1 in ascending order.\nAnswer: -760\/9, -3\/5, 0.1, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 6454556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14458.36 + -14458.7600004. Let i = -4.4 + 4. Let f = i - c. What is f rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23231 (base 5) to base 6\nAnswer: -11455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3948644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -1.9. Put -5, y, -1 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 18. Let o be 14\/(-35)*15\/(-6) + (-5 - -10). Let d(l) = 2*l - 18. Give o*t(h) + 7*d(h).\nAnswer: 2*h - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 23*m**2 - 5*m + 28. List the prime factors of b(22).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((4\/32)\/(43\/1548))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -255 times -12\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -12857?\nAnswer: 12858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 65 = -57 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b. Let t be ((-18)\/(-45))\/(2\/10). Let d(o) = -5*o**2 - 4*o**t + 7*o**2. Determine l(d(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b83a6 (base 14) in base 9?\nAnswer: 2767260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3232255, -3231822, -3231393, -3230968, -3230547?\nAnswer: -3230130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/7 - 4506*d**3 - 124377990*d**2\/7 - 124346450*d\/7 = 0. What is d?\nAnswer: -7885, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 2. Let t(i) = 1. Let d(p) = -f(p) - 2*t(p). Let n(y) = 4*y. Let o(m) = -2*d(m) + n(m). Let q(v) = 2 - v**2 - 2. What is q(o(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21261313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u + 21. Let k(j) = 42*j + 104. Calculate -16*d(t) + 3*k(t).\nAnswer: -2*t - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -c + 4, -10*o = -7*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45433*-414.\nAnswer: -18809262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -4 + 12\/7. Let s = 10 - 11. Let n be 2\/4*4*-1. Put n, t, s in ascending order.\nAnswer: n, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 11*q**2 - 3*q - 11. Let k(h) = -3*h**3 - 12*h**2 + 3*h + 12. Let s be 60\/(-5)*1\/2. Let g(j) = s*c(j) - 5*k(j). Factor g(y).\nAnswer: -3*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5\/2 + 81*d**4\/2 - 331*d**3\/2 + 523*d**2\/2 - 156*d + 22 = 0. Calculate d.\nAnswer: 1\/5, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -747? (a) -8 (b) -10\/17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p + 80. Let u(k) = 130*k - 950. Let m(b) = -95*t(b) - 8*u(b). Let s(j) = j**2 + j + 7. Let w be s(0). Suppose -w*c - 4 = -3*c. Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 12*i**5\/5 - 47*i**4 + 152*i**3 + 24*i**2 - 608*i - 9435. Find v such that s(v) = 0.\nAnswer: -1, 2, 38\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315293749.\nAnswer: 557, 566057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 771299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/36585 and 123\/10?\nAnswer: 73170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44430811*x**5 - 2*x - 41106986?\nAnswer: 888616220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*f - 68*f = 74*f - 56 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/30 + 7*r**3\/3 + r**2. Let x(s) = 1. Suppose -l - 7 + 68 = 2*o, 0 = 5*l - 25. Determine o*x(t) - 2*j(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*k + 0 + (-2 + 0 + 0)*(-4*k + 2*k + 3*k) - 4614 - 88*k + 4614 + 1 - 1 + 2*k + k + 3*k - 3*k + (-k + 0*k + 2*k)*(-5 + 0 + 3).\nAnswer: -93*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*i + 24 = 5*w, 3*i + 30 = 5*w. What is the greatest common factor of w and 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2057 - -448. What are the prime factors of w?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - 50 - ((-1 - 1) + 52)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sluuliuu. What is prob of sequence lsi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 734*n**2\/3 + 240*n + 1464.\nAnswer: 2*(n - 366)*(n - 3)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:45 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3660 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(7 + 8*j**3 - 10 - 3*j**3)*(5 - 2*j - 5)*(2 + 1 - 5)*(2*j - 5*j + j).\nAnswer: 40*j**5 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 19383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 394251735, 394251734, 394251733, 394251732, 394251731, 394251730?\n\"Answer: -l + 394251736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -5262.\nAnswer: 2104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.93. Put 0.4, -0.2, h in decreasing order.\nAnswer: 0.4, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 9*i + 8*i)*(3 - 3 - 4)*(105*i - 115 + 115).\nAnswer: 2100*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*w - 2885, -2*a - 2694 + 384 = -4*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -910 - -1379. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 21. Let c = -9 + q. Calculate the remainder when 47 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Suppose -5*p + 5 = -4*h, -2*p = p + h - 20. Suppose -u = -g - p. Let j(o) = o**2 + 2. Determine j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3\/3 + 11*i**2\/2 - 14*i + 7. Let j be c(6). Let q = 15 + j. Put 0.5, 1, q in descending order.\nAnswer: 1, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*r**4 + 516*r**2?\nAnswer: -1440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x**3 - 11*x**2 + 11. Let d(a) = -6*a**3 + 3*a**2 - 3. What is 22*d(s) + 6*o(s)?\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 8*w + 3*w**2 + 39*w**2 - 10*w**2 in the form c*w**3 + h*w**2 + d + v*w + j*w**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1550360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39708, -79907, -120106?\nAnswer: -160305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtp when four letters picked without replacement from sgpgotm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4026, 3, -10 in decreasing order.\nAnswer: 4026, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -110521?\nAnswer: 138\/110521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10750667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*l**2 - 2*l + 24*l**2 - 6*l**4 - 21*l**2 + 12*l**2 - 44 wrt l.\nAnswer: -72*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10743426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 34 = -0. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19*f - 23. What is b(4)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from gfeglgq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 2. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 11031\/(-8) - -1. Suppose 5*s - s + 5523 = -h, 4138 = -3*s - 5*h. Let o = s - a. Find the common denominator of o and -25\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:43 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -405029528 and -2.9.\nAnswer: -405029530.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3595431900 to the nearest 1000000.\nAnswer: -3595000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 3*n - 1. Let c be x(-4). Suppose 0*b - 3*s = -2*b - 26, b + 2*s + 13 = 0. Let a = c - b. 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 m be 12\/((-15)\/((-120)\/(-16))). Let w(k) = -k**2 - 7*k - 4. Let u(c) = -3*c**2 - 21*c - 13. Let g(s) = -3*u(s) + 8*w(s). Determine g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4707 + -315?\nAnswer: 43d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-10)\/(-8))*704\/(-66). Sort -5, 1, j in decreasing order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271677?\nAnswer: 11, 193, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6037, 6387, 6737?\n\"Answer: 350*p + 5687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 98102008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 1220 = 17*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1287 and 25047?\nAnswer: 325611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbvxxtmx. What is prob of picking 1 m and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21042334 (base 5) to base 9.\nAnswer: 285602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 16*y + 224 = 0. Calculate the smallest common multiple of y and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3*i + 3*i)*(-i + i - 2*i) + 2*i - 2*i - 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 12, 10 = -2*w - u + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((30 - 22) + (-51 - 6 - -1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r**5 + 1407*r**4 + 3870*r**3 - 80436*r**2 - 22536*r + 21600 = 0 for r.\nAnswer: -25, -12, -2\/3, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1\/8, 0.11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 4*w - 14*w**3 + 2*w**3 + 2 + 5.\nAnswer: -12*w**3 + w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -5134ad?\nAnswer: -513490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 73. Let x be 0 + 1 - 0\/1. Solve -g*z + x = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eygym. Give prob of sequence eey.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*m = -25, -53*m - 15 = -4*d - 54*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292 by -13231.\nAnswer: 1292\/13231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*t + 5 - 484*t + 231*t to the form v*t + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(208) + 1 - (-5 + sqrt(208) + 2*sqrt(208))**2 - ((sqrt(117) - -1*1*sqrt(117))\/(sqrt(729) - (sqrt(729) + (2*sqrt(729) - sqrt(729)))))**2.\nAnswer: -154033\/81 + 124*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38241412 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -1\/3, 2\/3, 669?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5336*a**3*k**2 - 258*a**3 - 375*a**2*k**2 + 161*a**2 + a*k**2 + a*k - 6*k wrt a?\nAnswer: -32016*k**2 - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 6 (c) -4 (d) -401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 - -5?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - k = 52. Let c(h) = h - 1. Let d be c(4). Solve k*a = d + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14585 and 0.08.\nAnswer: 14585.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2 - 50 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -75. Which is the second smallest value? (a) -1 (b) -1\/6 (c) 2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = 4*r + 29, 5*r = 2*n - 32. Suppose g = n*g - 50. Calculate the lowest common multiple of 2 + 0 - (-3 - 2) and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7854.63122148 + 7828.2312. Let n = -26.4 - x. Round n to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:08 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7325591 rounded to two dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-5) + (3 - 0). Let t = -4 - h. Find the first derivative of -3*j**2 - t*j**2 - 4 + 2 + 2*j**2 wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:20 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5437, 10923, 16485, 22159, 27981, 33987, 40213?\nAnswer: 46695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 42 (b) -218 (c) -1\/16 (d) -5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0 + 0 + 0 - 850000*o. Let x be v(2). What is x rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111110 + 101?\nAnswer: 11000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*f**5 - 415*f?\nAnswer: 6500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196859753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006651042 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17903653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23791508927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/1638*(-720)\/(-100).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/58 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 6. Let c be y(-12). Sort 2, 9, c.\nAnswer: c, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 + 0\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 101, 0.2, -1, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 - 1 + 1)*(1 - 2 + 3) + 73*s**2 + 16*s**2 - 24*s**2 to j + x*s**2 + f*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.65 - -212.65. Let z = -218.16 + n. Round z to one decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4245 + -4167. Calculate the remainder when u is divided by 62.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346385*b + 346422*b + 555 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 532335, 1064662, 1596995, 2129334, 2661679, 3194030, 3726387?\n\"Answer: 3*v**2 + 532318*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6366*b*d**3 + 25*b - 70 wrt d?\nAnswer: 19098*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -bca?\nAnswer: bda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*o + 314015. Let q = 161015 + o. What is q rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5*t. Let w be o(5). Suppose 6*f = -w*f + 474. List the prime factors of f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -16*g**4 - 41588*g**3 + 72836*g**2 + 20808*g = 0.\nAnswer: -2601, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35803 - -5145?\nAnswer: -30647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -729076908 divided by 26038461?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845140*0.07.\nAnswer: -59159.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 5. Let o be t(-2). Suppose 2*l - 207 = -g + 674, 2190 = 5*l + o*g. What are the prime factors of l?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -493*f + 3947. Calculate k(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 93113.80277 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -12*m - 36. Solve 0 = -4*j + 16, -2*q + 5*j - m = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, h: 1, p: 2, a: 4}. What is prob of sequence apps?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**3 + 5*f - 8*f**4 - 15*f**2 + f**4 + 5*f**4 + 1. Let o(w) = w**2 + w - 1. Let l(g) = a(g) + 3*o(g). Suppose l(c) = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(360)*1)*-3)\/((sqrt(960)*3 - sqrt(60))\/(sqrt(1200)*1)).\nAnswer: -240*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**16)\/k)\/(k\/(k*k**(-15)))*(k**(5\/3))**(-4\/19) assuming k is positive.\nAnswer: k**(-1787\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + t + 24 = 0, -3*t + 20 - 7 = 2*s. Let p(i) = -i**3 + 2*i - 1. Let o be p(-2). Let x = 22 + -20. Solve -x*d = o*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*l - 4*o, o - 3*o + 10 = 4*l. What is the derivative of 4 - l - i**4 - 4 + 4*i**4 wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 21*t + 9*t = -9*t + 170, 2*g - 68 = 21*t for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 171 = 682 + 510. Solve 0 = 2*g - 2*d + 8, 30*g - 2*d + 6 = j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 15762?\nAnswer: 15762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 653*b**2*r**3 - 192540*b**2*r**2 + 461*b*r**3 wrt r.\nAnswer: 3918*b**2 + 2766*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12120 - 12?\nAnswer: -12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 1. Let x(i) = 3*i - 5. Let q(z) = -z + 7. Let f(t) = -t + 10. Let k(p) = 5*f(p) - 8*q(p). Let r(a) = 3*k(a) - 4*x(a). Give -3*h(w) - 2*r(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-178 + 3 + 42 - 293)*(2*a + 0*a - 4*a) to s*a + r and give s.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 114 = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4675 (base 8) in base 2?\nAnswer: -100110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11468347 to the power of 1\/2, to the nearest integer?\nAnswer: 3386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 38. Suppose -3*v - 3*v = -c. Let s(a) = -a**2 + 8*a - 4. Calculate s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvovzzzvvozz. Give prob of sequence zoz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, k: 3}. Give prob of sequence yky.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + c + 0*c)*(c + 0*c + 0*c) + c**2 + 0*c**2 + c**2 + 0*c**2 + 2*c**2 - 3*c**2 as m + o*c + r*c**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 10*g)*(-5 + 3 + 3) - 1 + 5 - 3 + 18*g.\nAnswer: 28*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -55484*u. Let y(j) = -306*j**2. Determine b(y(l)).\nAnswer: 16978104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 - (-7 + 4) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o + 14 + 48*o**3 - 15*o**3 + 58*o**3 wrt o?\nAnswer: 546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 822*d + 131*d + 2382*d + (-d + 2 - 2)*(-5 + 0 + 3).\nAnswer: 3337*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2582 by -7718.\nAnswer: -1291\/3859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 407705.71 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2220808*b. Let o(g) = 2*g**2. What is o(y(x))?\nAnswer: 9863976345728*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138210 and 510?\nAnswer: 138210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 2)\/1 + 11. Let q be (-38)\/v + (-2)\/7. Is 1 - (26\/(-2) - q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q. Suppose q = 2*u - 4 + 6. Let h be ((-16)\/20)\/((-4)\/10). Sort u, 5, h in descending order.\nAnswer: 5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(196)*-2)**2 + -4 - -1*(1 + sqrt(242) - (sqrt(18)*2)**2))*-4.\nAnswer: -44*sqrt(2) + 14668\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 3. Suppose 9*k = 4*k + 50. Let v(g) = -k*g + 4*g + g + 3*g. Calculate v(s(u)).\nAnswer: -8*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - 2*m + 2. Let k be p(2). Find the second derivative of 10*g**4 - 81*g**k - g**2 - 8*g**4 + 35*g + 87*g + 5*g wrt g.\nAnswer: 24*g**2 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(500) + -5 - (0 + 2*sqrt(500))) + (3 + sqrt(500) + (sqrt(500) + (sqrt(500) - -1*sqrt(500)) + -3 - sqrt(500)))*-1)**2.\nAnswer: 560*sqrt(5) + 8049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l - 163. Let r be w(-11). Factor 1\/3*x**r - 1 - 2\/3*x.\nAnswer: (x - 3)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 42*a**2 + 23*a - 261. What are the prime factors of q(14)?\nAnswer: 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = -n. Suppose -4*h = h - n. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7968279 to the nearest integer?\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*t - 0 + 16, a - 3 = 0. Suppose -5*h + 2*l = -4 - 5, 2*h = l + 3. Suppose -3*x = 5*f - 5, 2*f = -5*x + 5*f - h. Solve x = -t*k - k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u + 19*u**3 - 8 - 4*u**2 - 8*u**3 - 9*u**3 - 7*u**3 + 4. Is 38 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 764*r - 768*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + w**2 + 3*w**2 + 5*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d - 2*d)*(-1 + 1 + 1) - 6 - 21 + 31 - 345*d as m*d + i and give m.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*t + 1 - 74, 63 = n - 3*t. Calculate the remainder when n is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 18*k**2 + 420*k - 14484. Determine i(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1069 - -14517521.\nAnswer: 14516452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 101 (b) -2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**3 + 165*i**2 + 11*i + 667. Let s(p) = 3*p**3 - 82*p**2 - 6*p - 333. Let r(q) = -11*s(q) - 6*y(q). Find the first derivative of r(o) wrt o.\nAnswer: 27*o**2 - 176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g**2 + 0)*(-2*g**2 - 5*g + 5*g) + g**4 + g**3 + 9*g - g**2 - 9*g.\nAnswer: -g**4 + g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 8117453.\nAnswer: 332815573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x + 10. Let y be w(10). Solve -4 = -5*v + 4*g + 4, 4*v + 3*g - 25 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*o + 90. Let r = -3 + -3. Let b be ((-6)\/o)\/(1\/r). Sort b, -5, 4 in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 105*h - 2. Let a(g) = 2*g**2 - 4*g. Calculate k(a(p)).\nAnswer: 210*p**2 - 420*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210132023100 (base 4) to base 2.\nAnswer: 100100011110001011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44761, -89522, -134283, -179044, -223805, -268566?\nAnswer: -313327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 184616?\nAnswer: -184611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/2 + 178086*b + 356175\/2 = 0?\nAnswer: -1, 118725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, 9\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15376474 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-15)\/(-5))*(-112)\/368*13\/91.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8928473.\nAnswer: 2543, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w**(-7\/5))\/w*w*w*w*w\/((w\/w**(1\/6)*w)\/w)*w)\/((w**(-2\/5)*w)\/(w**(1\/2)\/w)) assuming w is positive.\nAnswer: w**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/5 - (-6)\/(-15). Let f(t) = t**3 - 5*t**2 - t + 5. Let o be f(5). Suppose r*w - 13 - 3 = o. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111111 (base 2) in base 8?\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 28358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*i - 33. Find the second derivative of 29*y**5 + i*y - 20*y - 22*y + 7*y wrt y.\nAnswer: 580*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63860*i**5 + 665947*i**2 wrt i?\nAnswer: 3831600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*c + 15376 + 171*c - 246*c to the form w + f*c and give w.\nAnswer: 15376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3459\/(-192) - 477\/(-30528)) + 86\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3550066 millimeters?\nAnswer: 355.0066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 16) in base 5?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -29, -52, -81, -116?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.6758ng to milligrams.\nAnswer: 0.0000116758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1379)\/(-21)*(-2 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142.649257 - -0.319743. Let d = y - 143. Let s = 0.2 + -0.1. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 89)*(-1)\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 10*m + 50 = 0, -283*m + 288*m - 25 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10832 or 287?\nAnswer: 10832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13840 or -13984?\nAnswer: -13840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x = -64*x - 5*k - 30, -4*k = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7365798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51060381 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4561 + -0.9.\nAnswer: -4561.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -592*f**2 - 599*f**2 - 3*f**3 + 14*f**4 + 1199*f**2 + 3*f - 3*f + 1 to j*f + s*f**4 + v + c*f**3 + u*f**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 46. Let s = z - 23. Let w = 2 + -4. What is the biggest value in w, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942611362?\nAnswer: 2, 7, 11, 6120853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 1246724.\nAnswer: 11220516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173443\/170 - 5117\/5. Find the common denominator of b and 143\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-36)*16*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 18\/(-12)*6. Suppose -3*v + o*v - 660 = 3*q, 208 = v - 4*q. Suppose -6*j + 2*j + v = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*c + 67*c - 1768 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 45. Let x = 6 + r. Solve g + x = -3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -15\/44 (b) 0.02 (c) -939 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18468.86 take away -112?\nAnswer: 18580.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88089*f**3*i*r**3 - 147*f**3*r**3 - 4168*f**2*i*r + 4*f**2*i - 6*f**2*r**3 - 3*f**2*r**2 + f**2*r - 4*f*i*r**3 - 2*f*i*r wrt f.\nAnswer: 528534*i*r**3 - 882*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 + 1360*d\/11 + 5408\/11.\nAnswer: 2*(d + 4)*(d + 676)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = 1, 5*m + 331 = 3*q. Suppose 6*h - 162 - 6 = 0. Calculate the greatest common factor of q and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1925)\/(-14))\/55*(-2)\/25*-30*-4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(80) + 1 - sqrt(5))**2 - sqrt(10)\/(sqrt(2)*2).\nAnswer: -46 - 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or 0.03595459?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000011010 - -10110?\nAnswer: -111000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = d - 5*i, 22 = 4*d + 4*i - 2*i. Suppose 10*h = d*h + 18. Solve 0 + h = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p**4 - p**3 - 44*p**2 - 6*p. Let o(j) = j**4 - j**2 - j. Let m(z) = -h(z) + 6*o(z). What is the third derivative of m(v) wrt v?\nAnswer: 456*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190527.799 minus -3?\nAnswer: 190530.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a. Differentiate -1 - 3*o + 4 + 1 + a with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + z**2 + 6*z**2 + z**3 + z**2 in the form h*z**2 + o + m*z + t*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 11*y**3 + 35*y**2 + 25*y.\nAnswer: y*(y + 1)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 397\/6 + -66. Let w = -31 - -31. What is the biggest value in j, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79d (base 15) to base 4.\nAnswer: -122323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -1 + 2 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356238*-2.1.\nAnswer: 2848099.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 305484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00658 rounded to four dps?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*8\/(-6)*(-179)\/(-537)*(-63)\/30.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, -507, -1879, -4521, -8853, -15295, -24267?\n\"Answer: -70*x**3 - 5*x**2 - 17*x + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (2 - (-2 + 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-2) - (11 + -11). Solve 3*i**2 - 5*i - s*i + 2*i = 0 for i.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 9*c + 32*c + (-3 + 2 - 2)*(-13*c - 51 + 51).\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 25*h**2 - 17834*h. Let w(r) = -39*r**2 + 26747*r. What is 11*q(g) + 7*w(g)?\nAnswer: 2*g**2 - 8945*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 6. Let b(z) = 13*z + 24. Let m(s) = 2*b(s) + 9*x(s). Let a be m(-9). Suppose 0*c = a*c - 93. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30879323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(153)*-3 - (sqrt(153) - (sqrt(153)*-3 + sqrt(153))*4 - sqrt(153)))\/(sqrt(18)\/sqrt(2)*-5 + (sqrt(108)\/sqrt(6))\/sqrt(2)).\nAnswer: 13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/99*1341\/(-447)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38498 + 38498 - 2*w**2 + 243*w - 6*w**4 wrt w?\nAnswer: -72*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*t - 32721, 4*t - 26183 = 67*z - 70*z. Is 77 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -3*f - 26, -77966*f - 18 = -77962*f + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10.3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422104671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/51 and 79\/1605.\nAnswer: 27285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezggghx. What is prob of sequence hxe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 - 5*v + 2. Let n be z(3). Suppose 5*d = h - 10 - 7, n*d + 11 = 3*h. Let g = 5 + h. Solve 2*a - 5*s - 16 = -g*s, 4*a + 3*s = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.691 + -0.791. Let w = 2.4 + -2. Let n = 0.6 - w. What is the nearest to b in -2, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 31*i**2 - 60*i**2 + (2*i - 2*i + i)*(-3 + 2*i + 3) - 3*i + 3*i - i**2.\nAnswer: -85*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*d - 5*d = 0, 5*x + 3*d - 22 = 0. Suppose x*r + 322 - 1937 = 0. Suppose 2*s - 3*k = 333, 0 = -3*s + s + k + r. List the prime factors of s.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 4. Let q(i) = 1. Suppose 2*a + 3*a - 9 = -4*m, -5*m + 2*a + 3 = 0. Calculate m*v(y) + 4*q(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l + 197. What is b(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7 - 4. What is the third derivative of 5*l**2 - 13*l**4 + 23*l**3 - 50*l**3 - 2*l**5 + 27*l**a wrt l?\nAnswer: -120*l**2 - 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 5*a + 2 - 2.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21500*b**2 - 630*b. List the prime factors of q(2).\nAnswer: 2, 5, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 29 - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h - 54. Let p be n(-4). Let i(r) = 4*r + 17 - 5*r**p - 4*r**3 + 10*r - 7*r**2 + 3*r**3. What is i(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350 - -346. Let q be (-18)\/(-8) + 2\/(-8). Let p(s) = -8 + q - 4*s**2 + 2*s**2 - 7*s. Give p(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4797 - 232. Suppose 0*n = 11*n - s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436 + 467. Let m = c + 343. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207 * -23122.\nAnswer: -4786254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14911231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 47*y**2 + 75*y - 4. Calculate n(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614267868, 614267870, 614267872, 614267874, 614267876?\nAnswer: 614267878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2318*j**2. Let y(l) = 3821*l**2. Calculate t(y(w)).\nAnswer: -33842895038*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55 + (106 - 75) - (2 - 23)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182 from 102.94.\nAnswer: -79.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:24 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -2355, -5303, -9421, -14703, -21143, -28735?\nAnswer: -37473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6681610.\nAnswer: 2, 5, 13, 103, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 203 + 0?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.7 + 36.6. Which is the biggest value? (a) 0.15 (b) -0.3 (c) 2\/9 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-17 - -18) + 12 - 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3*(-2)\/3. Let d be ((-6)\/5)\/(s\/10). Let q(g) = 1 + 4*g + d*g - 6*g. What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/32*(-31)\/(682\/352)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 12. Does 12 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61193540.\nAnswer: 2, 5, 17, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/352)\/((3*1)\/(636\/265)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 163 = -2*t + t, t = 5*u - 157. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -7\/6*z**4 + 8\/3 - 12*z**2 + 20\/3*z**3 + 16\/3*z = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -361692.\nAnswer: 1\/180846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 1:01 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1178780 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1714563, 1714294, 1714025?\n\"Answer: -269*s + 1714832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.22.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Suppose 0 = -2*t - 0*t + z. Are t and -7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:40 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 3. Let b be m(-3). Suppose -5*p = -3*p - 6. Let j(z) = -b - 4 - z + p. Give j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10249 - 6912. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3094 - -2\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 times -264.2?\nAnswer: -17.7014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8841?\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (902 - (-8)\/2) + 3. Let z = f + -281. List the prime factors of z.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(c*c*c**3\/c*c)\/c*c)*c**(1\/2)*c**0\/c*c**3 assuming c is positive.\nAnswer: c**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxscp. Give prob of picking 1 s, 1 x, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {a: 2, q: 4, o: 1, g: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1092 and 2457.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 + -7. Let c = 0.6 + l. What is the third smallest value in 3, c, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -1087996.4983.\nAnswer: -1087996.4583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -226*q + 1570. What is k(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ffbf4 (base 16) to base 5\nAnswer: 232010130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48495.89ml?\nAnswer: 48.49589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 + 11*c**2\/2 + 10*c + 2. Let a = 54334 + -54341. Calculate u(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1247684*x**4 + 1172580?\nAnswer: 4990736*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 16*l**2 + 3. Let u be f(-16). Solve -5*b - q = -4*q - 8, 0 = 3*q + u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 + 15 = 0. Find the third derivative of -2*p**4 - 4*p**m - 4*p**2 - 3*p**4 + 5*p**4 wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m + 12. Suppose 2*d + 2 = 5*k, d = k + 4 - 2. Sort d, -2.1, m in increasing order.\nAnswer: m, -2.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 = 11. Let h(k) = k**2 - 9*k + 2. Calculate the smallest common multiple of h(m) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(-22)\/n))\/(n**4*n))**47 assuming n is positive.\nAnswer: n**799","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/15 - 4*z**4\/15 + 14*z**3\/15 - 8*z**2\/15 = 0. What is z?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -7134764.\nAnswer: -3\/7134764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 30. Suppose 0*o + z*o = 0. Differentiate 33 - k + o*k - 36 with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 0, -2 in descending order.\nAnswer: 0, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 3 - ((-6 - -7) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 41*z - 104. Let h be n(3). Suppose -d = -i - 4*d - h, i = -2*d - 14. What is the biggest value in i, 2, 30\/11?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 11289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 19549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -8.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -6*q - 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 = -3*f, -5*f + 35 = -679*z + 674*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 4 = 0. Suppose 0 = -0*q - y*q + 32. Suppose -2*a + 40 = 10. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1345, -5522, -12485, -22234, -34769, -50090?\n\"Answer: -1393*x**2 + 2*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 13835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/42 - t**6\/15 + t**5\/20 + t**4\/6 - t + 5. Find m, given that d(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30967 + -183071\/6. Let b = j + -436. Calculate the common denominator of 27*(-2 + (-69)\/(-30)) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amk when three letters picked without replacement from {m: 1, u: 5, k: 1, a: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 12 in descending order.\nAnswer: 31, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 + 2. Let s be f(5). Find the second derivative of m + 6*m**s - 6*m**2 - 4*m**5 wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9445? (a) 7 (b) -2\/11 (c) 5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26040305 and 1135?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235320 minus -11842?\nAnswer: -223478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.039 in 3, 13\/5, -5\/4, 21?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*c**5 + 419575*c**4 + 2201116585*c**3 + 6050422310*c**2 + 2749743840*c - 1099981440 = 0. Calculate c.\nAnswer: -10488, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1960320 divided by -4\nAnswer: -490080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8979078 divided by 6?\nAnswer: -1496513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 + 264*f**3 - 1371*f**2 + 2220*f - 1116 = 0. Calculate f.\nAnswer: -93, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355606 is divided by 391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72026.\nAnswer: 2, 36013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*t = 260*t - 1068*t - 13560 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 1910, 2895, 3880, 4865?\nAnswer: 5850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -12 + (-8888)\/(-1265))*10\/36. Which is the third biggest value? (a) -15 (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3\/(-6)*-2. Does 2 divide 7\/3 - c\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 328 (b) -0.4 (c) -1829\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2. Let u(z) = -3060671*z**2. Give m(u(y)).\nAnswer: 28103120910723*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2760 and 33013740?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.5 - 7.9. Let w = -5.60000003 + r. What is w rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*d + 12597, -3*g = 2*d + 2*g - 5025. Let y = 7 + 2. Calculate the least common multiple of y and (d\/224)\/(3\/(-8)*-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 34, 78, 158, 286, 474?\n\"Answer: 2*o**3 + 6*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o + 140 = 5*m, -5*o + 170 = 5*m. Solve 8 = -3*h + i - 9, 0 = 4*h - 5*i + o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*s - 9*s - 569 - 535 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**3 + 2*u**2 + u. Let n be c(-1). Let d be (-5)\/(5\/2) - n. What is the highest common divisor of 16 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.2 + 42.3. Which is the closest to p? (a) -7\/3 (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28606620 at least -28606618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Let f = 3 - -2. Suppose 4*x = 25 - f. Solve -3*r + 8 = -v, -6 = s*r - x*v - 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2272*(2 + -1)*(-2)\/(-14)*7. What is the greatest common divisor of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-33))\/(2\/(-6)*-1). Suppose -y*o = 78 - 218. Solve o - 5 = -6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0693748602 rounded to three dps?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/2 - 11*x. Let h(q) = -6*q**2. Let i(a) = 3*h(a) - 4*j(a). Let r(p) = -2*p. What is r(i(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1628500 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33864 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -128, -143, -228, -419, -752, -1263, -1988, -2963?\n\"Answer: -6*i**3 + i**2 + 24*i - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44967 is divided by 833?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(-1809)\/56*-2. Let y(i) = -i**3 - 16*i**2 - 46*i + 41. Let a be y(-16). Let h = a + r. Find the common denominator of 51\/38 and h.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*p - 777 + 1719 = -2182 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -41 - -62 - 29?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-1962) + (1060\/106 - (-6 + 1015\/63)).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) - (-21)\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(2 + 40\/(-15)). Let r(g) = 2*g**2 + g**s - 2*g**2 + 6*g - 7*g - 10. Is r(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - o)*(-6*o + 2*o + 0*o)*(2 - 1 - 3)*(-3 + 5 - 3).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyy when three letters picked without replacement from qnnneeyenyqyeq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**3 + 2*m**2)*(-15*m**2 - 2*m**2 + m**2) + (0*m**4 - 21*m**2 + m**4 + 19*m**2)*(2*m + 0*m - 6*m).\nAnswer: -20*m**5 + 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2515 + 303?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 697429497, 697429499, 697429501, 697429503, 697429505, 697429507?\nAnswer: 697429509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2. Let d(k) = -16*k**2. What is j(d(w))?\nAnswer: -2816*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 14*v + 128. What is o(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -329179\/47 or -7003?\nAnswer: -329179\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 + -0.13. Let q = 139 - 134. What is the second biggest value in -4\/3, t, 2\/11, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-20)\/(-27))*36. Suppose -w - 427 = 4*t - 2*y, 0 = 5*t - 2*y + 835. Is (t\/(-22))\/(6\/8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x = c + 48*x - 35, c = 4*x - 10 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from vdyoyoyyyyyyyy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3 - 3*z**3 + 10*z + 2*z**3 - 6 - 3 + 7*z**2. Let n be i(8). Solve 0 = -3*y - 5 - n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*j + 10 + 10, 3*o - 3*j = 0. Suppose 0*w - 5*f = -w + 24, o*w - f = 96. Let g = -10 + w. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211122002 (base 3) in base 8?\nAnswer: -40163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - sqrt(847)*2)**2 + 1 + (-3 + sqrt(7) + -1 + sqrt(7) + sqrt(7) + (sqrt(56) + sqrt(1400))\/sqrt(8))**2.\nAnswer: -72*sqrt(7) + 1431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 5*z**2 - 27*z - 206. Let b be q(-6). Solve 0 = 49*w - 23*w + b for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v + 2. Let m(a) = -a**2 + 16*a + 15. Let l be m(17). Let p = 20 - 18. Let s(b) = -2*b + 2*b - p*b + 3*b - 1. Determine l*s(w) - f(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27250 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5871?\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*k. Let n = -2 + 3. What are the prime factors of -14*(n + (k - 0))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5 - 56*p**4 + 228*p**3 - 304*p**2 + 128*p = 0?\nAnswer: 0, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/9)\/(-2) - (-7424)\/288. Let a be (-3)\/((-14)\/6 + 2). Suppose 16 = g - a. Is g less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 34*v**2 - 205*v - 8. Calculate m(-25).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 90256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 - 6*b. Let k be x(-5). Calculate the highest common factor of 20 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-6)*3 - (-3 + 0). Let b = g - -5. Suppose -4*t + 23 - 3 = 0, -5*a - 5*t + 2270 = b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 38745072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 333 + -261. Suppose 0 = 14*f + 58 - i. Let z = -128 - -652\/5. Which is greater: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b. Let c(z) = -8*z. Suppose 0 = -5*o + 4*g + 55, 0 = -g - 5. Suppose 0*k - o = -k. Let x = -646622 + 646628. What is k*s(u) + x*c(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62d + 9?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180192 + 180192 + 15633*w to s + i*w and give i.\nAnswer: 15633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 68 = -4*o + o, -14 = x + o. Let l be ((-13)\/2)\/((-2)\/8). Let y = x + l. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37433 + -37434.47716. Let y = 1.2677 + p. Let q = y + 0.21. Round q to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b8 + -1?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:15 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10*w + 72 = 0. Let k = -12 - w. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 - 3*w + 2. Determine g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from hnxtthxhhtxnxt?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + s - 5. Let r be l(8). Let g(i) = 13*i - 9. Let z(q) = 6*q + 3 - 6 - 4 + 3. Let v(x) = 3*g(x) - 7*z(x). Give v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17758448 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15114 - -26247. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1004\/35 - 142\/5. Which is the second smallest value? (a) -0.02 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 12*m - 3. Let i(f) = f**2 + 6*f + 1. Determine -2*d(s) - 5*i(s).\nAnswer: s**2 - 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 135*r**2 - 35 + 964*r**2 + 65 as p*r**2 + q + t*r and give p.\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 6 - 6)*(5*h - 7*h - 10*h)*(-556*h - 599*h + 33*h - 100 + 100).\nAnswer: 26928*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 2*z = -46, 38 = 3*c + 4*z. Suppose -2*t = -2*p - 3*p - c, 4*p = -5*t + 25. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 9*s + 2*m - 15 = 0, -19 = -s - 3*m. Let x(g) = g**2 + 4*g + 4. Let h be x(-4). Suppose 3*o + 3 = -3*y, -5 = 3*o + h*y + 3. Solve s*d = o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 253\/(-2) + 5*2\/20. Let z be (2 - -2)\/((175\/q)\/(-25)). Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046516601 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1471204 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317294041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:55 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*(-2)\/1. Let i be h\/12 - (-10)\/6. Suppose -28 = -2*c - q + 2*q, -5*c + 52 = i*q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 40015*n - 192815770.\nAnswer: 5*(n - 11389)*(n + 3386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibijbbiybjvbbiibbbby. Give prob of sequence ybvb.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -505 + 109. Let n = z + 631. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327.\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 21. Let v = d + 19. Let s(t) = t**2 + 10*t + 12. Determine s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/((-3)\/2 + 2). Suppose y = 4*v + 2*x, 2*x + 52 = 2*v - 0*x. Calculate the least common multiple of v and (-5 + -1)\/(6\/(-20)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34368*d**2 + d - 34710*d**2 - d to c*d + m*d**2 + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-306)\/(-13) + (-72)\/(-156). Suppose 35 = -5*y + 5*u, 2*u - 14 = -3*y - 2*u. Let a be ((-4)\/3)\/(y\/18). What is the greatest common factor of z and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68174.1247 to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*t + (-t - 2*t + t)*(2 - 5 + 1) + (1 + 3 - 7)*(3*t - 1 + 1) as s + d*t and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 482963941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.495145 hours?\nAnswer: 8982.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 not equal to 467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + -34433?\nAnswer: -34341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**2. Suppose -m - 326 = -3*o, -3*o - 2*o + 5*m = -560. Let l(t) = 49*t + 54*t - o*t. What is l(x(h))?\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 6*k - 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -d69a (base 15) in base 11?\nAnswer: -310a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 0*k**2 + 5\/4*k**4 + 0*k - 13 - k**3. What is the third derivative of m(l) wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 233796403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150498325 + 21*n**2 + 150498325.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2065\/4313 or -1?\nAnswer: -2065\/4313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1130? (a) -4 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n + 3. Let p be c(-3). Suppose 1 = -2*q + p. What is the least common multiple of q and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -2194, -3243, -4722, -6631?\nAnswer: -8970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4392, -8801, -13200, -17583, -21944?\n\"Answer: d**3 - d**2 - 4413*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2 - 2 - 3)*(-31*s + 501 - 501).\nAnswer: -31*s**2 + 93*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 480232 = 2*x, x - 177813 - 62302 = z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*a - 5442. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -33\/4. Let v = 6.8867 + 0.1133. What is the nearest to i in 1\/3, -4, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*h*j*r**2 - 6*h*j*r + 7*h*r - h + 41816*j*r**2 wrt h.\nAnswer: -89*j*r**2 - 6*j*r + 7*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five eighths of a hour?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 216217465 and 216217463 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 21. What is the second derivative of -z**3 - p*z**3 + 16*z + 2*z - 3*z**3 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((290\/29)\/(2\/2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -225761*d**2. Let n(q) = 2*q**2. Determine n(g(u)).\nAnswer: 101936058242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 32, 205, 582, 1223, 2188, 3537?\n\"Answer: 10*i**3 + 12*i**2 - 77*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 16*z - 5*z = 7*z - 29*z - 256, -3*z = 4*a - 178 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -1231\/5. Let g = -2.98 + -0.02. Let q = 3.1 + g. What is the nearest to q in 3, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 205, 348, 511, 700?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((120\/(-5))\/(-4))\/(18\/4). What is the smallest value in 1, 2, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54643?\nAnswer: 53, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2211*k + 111961 = 30154 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:01 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278725 by 5.\nAnswer: 55745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1429 (b) 0.3 (c) 7183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -11 (c) 4\/15 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.1, -31, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/112563 and -25\/20466.\nAnswer: 225126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-22))\/((0 - -1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-four fifths of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = -15. Let o = d + 5. Let c(r) = -2 - 2*r**3 - 3*r + r**2 - o + 4*r**2 + r**3. Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 6 (c) -10.99 (d) -2\/67 (e) 3\/4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127154 (base 8) to base 7.\nAnswer: -244116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-6))\/(-7)*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17303 and 308?\nAnswer: 484484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5, -5*l + 4 = -p + 25. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.205 + -0.595. Which is the closest to m? (a) -2 (b) -2\/7 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = 3*p - 5*p, -3*p = 2*d - 20. Let x = -538 + 546. Suppose 160 = x*b + 32. Calculate the highest common factor of p and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -26*q + 167. Suppose -s - 330 = -3*s. Suppose -s = -4*g - 37. Calculate the remainder when g is divided by r(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1)**2*-1.\nAnswer: -100 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*g - 32 = 0, -5*v + 125 - 37 = 2*g. Suppose v*k = 6*k + 3860. List the prime factors of k.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(((-4)\/(-3))\/(12\/9)). Let t be (10\/4)\/((-5)\/(-10)). Suppose 0 = -t*p + p, -5*u + p = -25. Solve x*r + 17 = u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 3*x - 35, 4*x + 3*b - 55 = 0. Suppose 17 = 5*a - 8. Calculate the remainder when x is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 6 + 3 + 2 - 3 + (-18 + 15 - 15)*(-4 + 4 + 5))*(0*i**3 - i**3 + 3*i**3).\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -124\/37, 0.5, -0.23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.054 - 0.054. What is the nearest to 1 in -1, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*h - 114, 9843*h - 9838*h = -4*u + 173. Let a be 1919\/4 - (-2)\/8. Let v = -236 + a. What is the remainder when v is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 2. Let o be n(3). Let d be (3 - -5)\/(o\/(-17)). Suppose 4*r = -2*j + 46, -6*j + j = 3*r - d. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 5853012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215912927?\nAnswer: 67, 3222581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231252.\nAnswer: 2, 3, 7, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzqz when four letters picked without replacement from {q: 15, z: 5}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -352, -700, -1046, -1390, -1732, -2072, -2410?\n\"Answer: w**2 - 351*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3467.4 to the nearest 10.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(110)*4*-2*6)\/(4*(-1*sqrt(240))\/sqrt(6)))**2.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6 - (-13 - -22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -6) - ((15 - 11) + 15 + -29).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y + 29. Let n be a(-5). Let c = 64 - n. Solve -2 = d + 3*k - 1, 0 = 5*d - 5*k - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 1, h: 2, p: 1}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 241*d**2\/5 + 326*d - 1872\/5.\nAnswer: (d - 1)*(d + 8)*(d + 234)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (-1 - 2\/1). Let x = 6 - g. Suppose 4*h + x - 4 = 0. What is the least common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*x - 43, -2*u - 3*x = -x - 92. Let r = u - 38. Suppose 0 = -2*p + 3*w - 3, 4*p + 4*w - 3*w = 29. What is the least common multiple of p and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/41 in -356, 0.4, -1, 1\/5, 3\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65508374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.98 and -0.0265?\nAnswer: 0.15847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/((-1098)\/(-72))*(2\/(-1))\/148\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/99840*-104*2*1*-1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q + 22. Suppose -2*n + 9 = -n. Let v be x(n). Let y(b) = -b**3 + 5*b**2 - 4*b - 3. Determine y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5749017288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9477785 by -17.\nAnswer: -9477785\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77\/2? (a) 0.3 (b) 10 (c) -248\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4658)\/(-14) - 8\/(-28). Suppose 4*o - l + 81 = 0. Let a(r) = -r**3 + 4*r**2 - 2*r + 4. Let c be a(3). Calculate the highest common divisor of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -2*c - 0*c, -5*c + 9 = -4*i. Suppose -c*w = 5*q - 15, 2*q - 3*w - 2 = -w. What is the units digit of -13*q*9\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (528\/(-40))\/((-4)\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*o**2 - 49*o**2 + 131*o**2)*(3*o - 19*o - 10*o) to w*o + a*o**3 + u + n*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018327 times 4.4?\nAnswer: -0.0806388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -2\/7 (b) -0.042 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 14*k + 11*k + 70 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 36680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -179*j - 1. Let s(n) = -183*n - 1. Calculate 6*h(o) - 5*s(o).\nAnswer: -159*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 + 50 + (-152)\/22)*-2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 1 + 2*p - 4*p**2 - 2*p**4 to z*p**3 + l + w*p**2 + y*p**4 + x*p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 213*p**2 - 4*p - 5. Let z(f) = -640*f**2 + 10*f + 14. Give -8*x(j) - 3*z(j).\nAnswer: 216*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f + 11. Calculate the remainder when 16 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-25) - (-174)\/10. Suppose 0 = -0*s + 9*s - i. Solve -s*d + 4 = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*b + 5*u - 25, -10 = 4*b - 2*u. Which is bigger: b or 1\/106?\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978244 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159099 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1474144 (base 9) in base 8?\nAnswer: -3072731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) 2 (c) 46 (d) -1323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**3*n*x**3 - 5*d**3*n*x**2 + d**3*n + 2*d**3 - 5*d**2*n*x**4 - 2*d*n*x**2 wrt x.\nAnswer: 42*d**3*n - 120*d**2*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 + 6. Let l be a(8). Suppose -3*v - m - 358 = -l*v, 3*m + 114 = v. Let o = 239 - v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -3\/7, -2772169?\nAnswer: -2772169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10516974?\nAnswer: 2, 3, 13, 109, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 23*f + 45. What is u(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, 2, -104\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 + 5*b + 1. Let u be m(-4). Let a = 220 - u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381926.684 rounded to the nearest one thousand?\nAnswer: 382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1480003 divided by 6?\nAnswer: -1480003\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111001111 - -11?\nAnswer: -11111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1 - 11 + 0*s + 0*s - 5*s + s**2. Let y be d(7). Differentiate 2*f**4 - 3 + 3*f**4 + 5 - 8*f**y wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(425) - (sqrt(425) + 2 + sqrt(425)) - sqrt(425)) + -2 + -4*sqrt(425) + -3.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/15)\/((-6)\/15). Let o(b) = -3*b**2 - 3*b + 6. Let y(v) = 3*v**2 + 2*v - 5. Let x(q) = l*y(q) - 2*o(q). What is the derivative of x(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*v + c - 13, -2*v + 2*c + 52 = 0. Suppose -5*h = -i + v, 3*i + h = 2*h + 128. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37802 or -0.793?\nAnswer: 37802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -1, -33 in increasing order.\nAnswer: -33, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11005, 21994, 32973, 43936, 54877, 65790?\nAnswer: 76669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1089)*2 + sqrt(1089))*-4)\/(-4*(sqrt(147) - 2*sqrt(147)*-2)).\nAnswer: -66*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:09 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.1. Let m = -1 + 0.8. Let t = 14.7 - 15.7. What is the biggest value in t, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 at most as big as 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1086 - -1071. Let j = 18 - 18. Put i, j, 1 in decreasing order.\nAnswer: 1, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1, -1, -7, 2, 56 in decreasing order.\nAnswer: 56, 2, 1, -1, -7, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 189*h**3 - 44.\nAnswer: 189*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 15 = 3*k, -5*u = 11*k - 178 + 193 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 73*m + 185723. Determine u(469).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1438404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 0 + 0)*(-4*c + c + 0*c) + (3 - 2 - 3)*(-4*c**4 - c**4 + 0*c**4).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4939412*x**2 + 10718841*x wrt x.\nAnswer: -9878824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - 4 = 0. Let c be (3 + (81\/12 - w))*-4. Let h = -6 - c. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.406 rounded to 1 decimal place?\nAnswer: -88.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*n + 2*a, -3*a + 0 + 12 = 3*n. Find g such that 142 - 107 - 40*g - g**2 + 6*g**n = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 22 = 2*y, 4*y + 2*t - 3*t = 24. Suppose 1376 = y*k + 3*n, 3*k - 658 = 4*n + 185. What are the prime factors of k?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2 + 0 - 3*l)*(8*l**2 + 11*l**2 - 9*l**2) - 12550*l + 803*l**3 + 12550*l.\nAnswer: 813*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1273044\/72 + 1\/12 + 5\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/6)\/(7\/(-21)). Let d be 0 - 2\/1 - z. Suppose -d*a = -4*a + 3*x - 32, -a - 2*x + 27 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*s - 22, 3 = f + 5*s - 1 + 5 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529173497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108\/23*(-6)\/(-9). Let q = z + -366\/161. Let n be 96\/45 + (-4)\/30. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12. Let u(a) = -159*a + 338*a + 25 - 162*a + a**2. Let m be u(-15). Put m, 4, 3, x in decreasing order.\nAnswer: 4, 3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/2*188\/(-611)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -137. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013702984 rounded to four decimal places?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*v - 3 = 2*f - 904*v, -2*f + 3*v + 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*h**4 + 434964*h**3 - 377320*h**2 - 2*h + 2 wrt h.\nAnswer: 1008*h + 2609784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11590829?\nAnswer: 11590829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 - 65*i + 5. Calculate the remainder when w(13) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r + 6204 = 212*r for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (3 - (-3 + 5)). Let z be 47 + -2 + (1 - m). Suppose 0*k = k + z. Find the common denominator of k and -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.05. Let v = 0.39 - b. Let a = -147.1 + 147. What is the nearest to a in 0.2, 2\/9, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c - 4*v - 15174 = 0, 0 = 3*c + 4*v - 22771. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iubbphrp. What is prob of sequence bbhp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -68. Let b be (6\/h)\/((-2)\/(-28)*-2). Which is greater: b or 2\/355?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11278214?\nAnswer: 2, 47, 119981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 103 and -0.59.\nAnswer: -60.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4\/5, -0.5, -1, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/66339, -23, 4.\nAnswer: -23, 1\/66339, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-13)\/5 - (-53 + 51)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4.036\nAnswer: -2.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 1, g: 1, y: 2, t: 3, x: 3}. Give prob of sequence xtxt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d + 79*d - 4000 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000965 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-1 - (2*sqrt(216))\/sqrt(12))\/((sqrt(900) + -2*sqrt(900))\/sqrt(6)).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1779*h**2 - 58*h + 99. What is k(2)?\nAnswer: -7133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38053895 divided by 7610779.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 13*o**2 - 9*o - 24. Let l be c(12). Suppose 16*a - 1232 = l*a. Round a to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 75*t**2 + 147*t + 38. Give z(-73).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 4*k - 20, 0 = 2*q + 3*k + 15. Let g be (q - (-9)\/3) + 11. Calculate the greatest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.05. Put 2, k, -2\/5 in decreasing order.\nAnswer: 2, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.85 and -36697?\nAnswer: 765132.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 511807614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4*v + 4127*g**3*v**3 - 13*g**2*v**3 + 41*g*v**3 - 18*v**2 wrt g?\nAnswer: 96*g*v + 24762*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 9*z - 12. Calculate r(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/18720*48)\/((-2)\/(-8)*(-8)\/(-5))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j\/j**2)\/j)\/j*j*j*j**(-1)\/j)\/((j**0\/j)\/(j**(3\/5)*j)))\/((j**(2\/11)*j**7)\/(j*(j\/(j**2\/j))\/j)**(1\/50)) assuming j is positive.\nAnswer: j**(-307\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413 - 415 - 406 + 5*g + 1232.\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/(v\/v**(1\/5))*(v**(3\/4))**32)\/((v**(4\/9)\/(v\/(v\/v**(7\/2))))\/((v*v**(-3\/7)*v)\/(((v\/(v*v**(-9)*v*v))\/v)\/v*v))) assuming v is positive.\nAnswer: v**(7033\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -876776 + 15?\nAnswer: -876761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 - 5\/12*q**4 + 1\/6*q**3 + 0*q - 6*q**2. Let j(i) = i. Let c be -19 + (1\/(-1))\/(-1). What is c*j(h) - 2*l(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 193241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - ((2*sqrt(102) + sqrt(102))*3 + sqrt(102))))\/sqrt(6) + 4.\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 12, 3*o + 4 - 16 = 5*k. Suppose k = 6*t - 477 - 1737. Is 41 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(91) - (sqrt(91) + (sqrt(91) - 2*sqrt(91)) + sqrt(91)) - sqrt(91))*4)\/(sqrt(504)\/sqrt(2))*6)**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.518 in -2, 2\/5, -7\/8, 2\/19?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -827*a + 3968. List the prime factors of i(-4).\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(242*j - 145*j - 167*j).\nAnswer: 140*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*r, -32 = -3*f + 3*r - 2*r. Suppose -8*t - 10 = -f*t. Solve -3*v = -0*v - m + t, -2 = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1178\/5 - (-2)\/5. Let m = -161 + c. Suppose -27 = 4*k - m. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 23*r - 28*r - 5*l, 3*r - 2*l = -9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.8 + -263.\nAnswer: -285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 309, -777, 4.\nAnswer: -777, -8, 4, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let r be 4\/6 - (-4)\/3. Suppose -r = -2*l - q*l. What is the smallest common multiple of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/140*((-28)\/(-4) - 10 - 5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -14 + 0 + (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 10.4213229.\nAnswer: 10.4213229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 3, -10.9.\nAnswer: -42, -10.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*p - 359*q + 363*q, -6*p - 4*q = 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 7772 = 138*s - 35*s for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 886 + 504 + 3221*t**2 + 3246*t**2 - 6471*t**2 to b*t**2 + m*t + r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32326428 divided by 1?\nAnswer: 32326428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2722, 389, 3500, 6611?\nAnswer: 9722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllvvlllvlll.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/15)*w**(2\/37))\/(w\/w**6*w*w**(2\/3)\/w*w) assuming w is positive.\nAnswer: w**(824\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 0*f**2 + f**2 + (2 + 3 - 3)*(3*f**2 + 0*f**2 - 2*f**2) + 2*f**2 + 0 + 0 + 2 - 3 + 0*f**2 - 5*f**2 in the form w*f + z*f**2 + o and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2883, -2475, -1443, 525, 3741, 8517, 15165?\nAnswer: 23997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 2*p + 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344682930 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: What is the third smallest value in -2, -4\/5, 1070\/3?\nAnswer: 1070\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12193\/1335 + (-4)\/30\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37.69 and -3.\nAnswer: -40.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szsszssszsssszsz. Give prob of sequence sszs.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -33. Let b(d) = -w*d + 15*d + 4*d. Let t(h) = -10*h**2 + 11*h. Let s(n) = -2*n**2 + 2*n. Let i(c) = 11*s(c) - 2*t(c). Calculate b(i(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 331600 + ((-50)\/10 + 4)*(1 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1250341653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9178.76 - -9034. Let w = -141 - f. Let b = w - 0.66. What is b rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(5\/(-2))\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19)**(-2\/13)*j\/(j\/((j*j**(-1\/3)*j)\/j))*j\/(((j**27*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-1063\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(228) - (1*sqrt(228)*1 - sqrt(228))) + sqrt(228) + sqrt(228))\/(sqrt(96)*-2))\/(((sqrt(154) - sqrt(154)*-2)\/sqrt(7))\/(sqrt(99)*-1)))**2.\nAnswer: 171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2890 and 2897?\nAnswer: 8372330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2687215710 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:58 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3570136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -1\/2, 0, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/6 + 15\/2. Let s = -2.9 + 4.9. Let r = 145.7 - 146. Sort r, 0.2, s, j in decreasing order.\nAnswer: s, j, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -3. Let l(o) = o - 6. Let r be l(8). Find the third derivative of 0*g**n + 3*g**4 + 0*g**4 + r*g**2 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -161064?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 + 8. Give a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277599 = w - 24*i + 22*i, i = 3*w - 832817. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.11 (b) 6\/10151 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5816 + 5815.48. Sort m, -1\/2, 3, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100 + 47*p**2 - 99*p**2 + 51*p**2 - p + p**3 to the form i + a*p**3 + d*p + y*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 97078.8 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + 69*l**2 + 128*l + 68. What is f(-21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78680640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36856*b = -36853*b - 41*w + 26, -5*b + 10*w = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w + 5. Let i(p) = -2*p + 3. Let s be i(-3). Let g(y) = y + s*y - 8 + 15. Let c(k) = 5*g(k) - 7*m(k). Let f(b) = 2*b. What is c(f(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*y + 2*y = -8, -s = 4*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) 7 (d) 0.4 (e) 14\/147177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.93 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3672356460 - -1?\nAnswer: 3672356461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 12. Let a = d - 0.916. Round a to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -2932279764253.\nAnswer: -2932279764252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*k**6 - 13*k**3 - 400*k**2 wrt k?\nAnswer: 2040*k**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28970*k**2 - 22386*k wrt k?\nAnswer: 57940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -221 + 221 - y. Let k(d) = -d**2. Determine o(k(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 16}. What is prob of picking 2 y and 2 d?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -99) + 51 + -48.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4293136 to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-45)\/(-54)). Which is the nearest to i? (a) -1\/4 (b) 2 (c) -1\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 - 7*l**3\/6 + l**2. Let m(r) = -r - 3. Let s(c) = 5*m(c) - 2*q(c). Let p(i) = 3*i + 5. Calculate -p(j) - 4*s(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -6768.312184?\nAnswer: -6768.212184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**3 - 7*h**2 - 10*h + 5. Let j(q) = -9*q**3 - 14*q**2 - 20*q + 11. Let g(b) = -6*j(b) + 11*p(b). Calculate g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460785 and 1105.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 47*w + 270 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Let c(v) = -2*v**3 - 2 + 3*v + 8*v**2 + q*v**3 - 3*v**2 + 1. Calculate c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029852307?\nAnswer: 7, 79, 569, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, o: 1, n: 1, h: 5, p: 3}. What is prob of picking 1 a and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -113*l**4\/2 - 275*l - 301. Find the first derivative of w(s) wrt s.\nAnswer: -678*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 9. Let o = k + -4. Let m = -362 - -361. Which is the second biggest value? (a) m (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 + 6*g. Calculate the remainder when r(5) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1646*g**2 + g**3 + 864*g**2 + 833*g**2 + 1 as u*g**2 + f*g + p + c*g**3 and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4935)\/8225)\/(((-9)\/75)\/(-1)) + (-13 - -151)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 + 0 - (-179 - -125)) + -11 + 18?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1\/8998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19 - s**3 + 6 + s**2 + s - 26. Let o(p) = -12*p**3 + 16*p**2 + 9*p - 19. Let r(k) = -22*f(k) + 2*o(k). Factor r(h).\nAnswer: -2*(h - 4)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r, 18*g - 527 = 14*g - 3*r. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*n**5 - 338*n.\nAnswer: 1940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 11. Let f be k(-5). Let z be (1\/7)\/(f\/18). Factor 0 + 0*j + z*j**2.\nAnswer: 2*j**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11628916 is divided by 1823?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876991*m - 496 = -877053*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 24 + 44 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i + 6. Calculate f(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 - -184. Let r = -4 + 2. Is h less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(4))\/sqrt(6) + 0)*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*x = -170*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -161, -156, -151, -146, -141?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-3 + sqrt(405))*-3 - sqrt(405))**2 - (-4 + sqrt(405))*-6).\nAnswer: -1188*sqrt(5) + 13074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 13. Let m(s) = -7*s - 14. Let j(y) = 133*y + 266. Let l(f) = 3*j(f) + 56*m(f). Let q(o) = 3*l(o) - 4*p(o). What is the units digit of q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**3\/3 - 5. Let x(z) = 2*z**2. What is g(x(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (13 - 8 - 6) - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-628)\/(-16) + -19 + -21)*12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2393684105 to the nearest integer?\nAnswer: 48925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 11*r + 12. Let j(p) = -5*p**2 - 43*p + 47. Let o(d) = -2*j(d) + 9*s(d). Let t be o(12). Solve 2*h = 7*h + k - t, k + 5 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - b = w + 9, w = -3*b - 15. Let q = w + 9. Suppose -36 = -q*x + 24. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 296*w**2 + 25*w + 3704. Let x be f(-148). Let a be -1*(-1)\/1 + 5. Solve a - 10 = y + x*t, -16 = 4*y - t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137012 is divided by 335.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from {z: 5, a: 8}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = 5*r - k, r + 0 = 4*k + 170. Let l be r\/(-8) - 9\/(-12). Let m = l - -21. Which is the third smallest value? (a) -1\/3 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*k + 8, 3*k + 8 = 5*y - 4. Let q(l) = l**3 + l**2 + l + 17. Give q(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -55. Solve x*o + 9 = -0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 + 6*v**2 + 10*v + 7. Let z(f) = f**3 - f**2 - f. Let w(o) = x(o) + 6*z(o). What is the remainder when w(-3) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223700581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -55e (base 15) in base 2?\nAnswer: -10010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 1270 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75788343 is divided by 3988860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91582.69 minutes to milliseconds.\nAnswer: 5494961400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 354818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 8*s = 3*z - 7, z = -5*s + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -14*f + 9*f - 2*b, 0 = -2*f - 2*b + 38. Solve -6*s + f = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-104)\/6*((-135)\/(-10))\/(-9). Solve -5*x = 10, 5*x + i = 4*n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036237 - 247324.2101.\nAnswer: -247324.246337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 45*q**2 - 24*q + 17. Let r be m(23). Is (-2092)\/(-2) - r*7\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4138741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 - 2943*o\/2 + 1473.\nAnswer: -3*(o - 1)*(o + 982)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 24 + 6 = 0. Suppose -5*s + 0 - p = 3*j, 3*s + 18 = j. Solve -2*f = -0*f + j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u + 1536 + 292 - 14*u - 20*u - 11*u.\nAnswer: -u + 1828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 7\/((-7)\/(-2)). Suppose -d*l + 211 = 55. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 2 c when four letters picked without replacement from {g: 7, c: 10, a: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 115 = -10*c. Solve -15*w + c = -51 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3*d**3 + d**3)*(0*d + 0*d - 2*d) + 0*d**2 + d**4 - 6*d + 0*d**2.\nAnswer: -3*d**4 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*k*s + 3*j**2*k + 121*j**2*s - 2*j**2 - 6*j*s + 5*j - 30*k*s wrt j?\nAnswer: 4*k*s + 6*k + 242*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10627 - -10626.9. Let g = 0.1 - 0. Which is the closest to z? (a) g (b) 1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 + 4*r**2 + r + 4. Let b(n) = -7*n**3 - 8*n**2 - 3*n - 9. Let x(k) = 4*b(k) + 9*t(k). List the prime factors of x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 - 105. Suppose 0 = -15*q + l*q + 2. What is the closest to q in -2, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990634 and 42.\nAnswer: 20803314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 15381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/74736 and -19\/270?\nAnswer: 373680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 245*w**2 + 55*w**3 - 105*w**3 + 52*w**3 + 247*w**2 - 274*w**4 + 2 to the form n + k*w**4 + p*w**2 + o*w + z*w**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7996.000001943 + 7996. What is w rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.23 - -0.03. Let u = -0.5 - -2.5. Let t = 2.2 - u. What is the closest to t in 1, b, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.4, 26, 5, -5.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 702452587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 4*o**2 - 3*o. Let x be n(2). Let i be (-1)\/2 + x\/(-4). Suppose -r = -3*k - i*r, -3*r = 3*k. Solve k = -h + 3*b - 6, h = -2*h + 3*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**6\/18 - 19*p**5\/2 - 135*p**4\/8 + 5*p**3\/18 + 45*p**2\/4 - 9140. Solve y(r) = 0.\nAnswer: -27, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39769794*s**6 + 28650893*s**2 wrt s.\nAnswer: 4772375280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o - 6*o - 3 + (-o - 2*o + 2*o)*(2 + 2 - 6).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70\/27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.774592g in micrograms?\nAnswer: 3774592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1054, 2320, 3822, 5560, 7534, 9744, 12190?\n\"Answer: 118*j**2 + 912*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*t + 136183 = 0, -4*c + 136163 = 26*t - 27*t. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*d + 9*d - 47, 5*d + 5*r - 115 = 0. Calculate the remainder when ((-3)\/(-9))\/(2\/834) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11)*-4) + sqrt(144)\/sqrt(3) - ((sqrt(1944) - (sqrt(1944) + (sqrt(1944) - -2*sqrt(1944)))) + sqrt(24))\/(sqrt(72)\/sqrt(36)).\nAnswer: 223*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -145, -216, -315, -448?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3 - d**2\/2 + 2*d - 1. Let m(u) = -u**2. Suppose 4*k = -0*k - 20. Give k*m(l) + o(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 415357*z. Let f(v) = -3*v**2 - 7*v. What is f(p(c))?\nAnswer: -517564312347*c**2 - 2907499*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13051.03 - 13191. Round z to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1123 - 1119. Solve 5*u + 11 = -z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 53*c - 131*c. Let r(k) = -1. Let d(i) = -i - 18. Determine c*r(j) - d(j).\nAnswer: j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009309 to seven dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/20 - 2*p**4\/3 - 3*p**3\/2 - 4*p**2 + 30*p. What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:13 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*q = 24, a + 18 = -0*a + 4*q. Let s be (a\/(-4)*-2)\/(-1). Let d(i) = 19*i**3 - i**2 - i. Give d(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2370.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194, 701, 1522, 2657?\n\"Answer: 157*t**2 + 36*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b. Suppose 2*t - o = -10, b*t = 2*t - 3*o + 18. Let i = 4 - t. Is 8 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-158)\/10 + 104\/52. Sort -0.03, -2\/13, l.\nAnswer: l, -2\/13, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*w + 30. Suppose 0 = 3*c + c - 12, w*d + 4*c = 60. Suppose d = 6*i - 2*i. What is the least common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*f + 1403, -f - f + 3*d = -697. What is f rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1606459201, 1606459200, 1606459199?\n\"Answer: -q + 1606459202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/42 - 25*t**6\/12 + 97*t**5\/12 - 10*t**4 + 147*t**2 - 2*t. Factor l(j).\nAnswer: 5*j*(j - 48)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4608 and 125\/72.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1195*q**2 + 371?\nAnswer: -2390*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2 - d - 3\/2*d**2. Let w(z) = -45*z + 407. Let c be w(9). Determine f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297682657.\nAnswer: 173, 1720709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {o: 9, y: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a - 12. Let y(h) = -h - 2. Let x(m) = g(m) - 6*y(m). Let j(u) = 0 + 0 + 6*u. Determine j(x(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 5) to base 11\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + sqrt(300) + -1 + sqrt(300))**2)*-3 + (0 + (sqrt(300) - sqrt(300)*-1)**2*-6)*-6 + -2.\nAnswer: -240*sqrt(3) + 39592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.95 + -0.05. Let n = w - -11. Let a = n - 4. Sort 2, 0.4, a in descending order.\nAnswer: 2, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from leeleleexlelleeele.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -282*n**3*v*x + 6*n**3*x + 10*n**3 - 22*n**2 - 3*n*x + 3*v**2 - 100*v*x wrt v?\nAnswer: -282*n**3*x + 6*v - 100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7461 - 98. Let q = -1741 + y. What is q rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 12. Let l = 22 + m. What is the remainder when 59 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45525 and 19590?\nAnswer: 59455650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -58?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - c**4 + 2*c**2 - c**4 - 4*c**3 - 3*c**2. Let u(z) = -18*z**4 - 36*z**3 - 8*z**2 + 36*z. Let o(b) = -52*i(b) + 6*u(b). Factor o(t).\nAnswer: -4*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2072 and 72021018.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*v + 0*v = -10, 0 = -4*f + 4*v - 8. Let w(q) = -q - 11. Calculate w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.1241 millennia to decades.\nAnswer: 88012.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (404\/(-303))\/(4\/(-18)*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.808 - -186.208. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 214\/15*3\/4 and 149\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/198829 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 51 + 39 = 0. Suppose j = u + 2*u. Let a(z) = -z**2 + 12*z. What are the prime factors of a(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose -4*m + 12 = 0, 0*d + 4*m + 488 = 5*d. Let j be 5 - (-5 + d\/15) - 3. What is the fourth biggest value in 5, 1\/2, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 4*h - h)*((-1 - 6 + 21)*(-5*h + 2*h + 2*h) - 3*h + 3*h + h).\nAnswer: 169*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 9*v**2 + 9*v**2 + 0*v**4 + 0*v**4 - 3*v**4 + (-v + v - v**3)*(0*v - 3*v + 2*v) + v**4 - v**4 + v**4 + 1 - v**4 - 1.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 1455, 4949, 11753, 22971, 39707, 63065?\n\"Answer: 184*x**3 - x**2 + 3*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-51 - 108) - -99\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7 - 195. Let c be (133\/(-14) - 1)*(-1 + -9). Let y = c + f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30225002 (base 6) to base 14.\nAnswer: 1850b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/15 (b) -0.11 (c) 1\/2 (d) -4 (e) -1 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q + 3*q)*(1 + 0 - 3)*(-2 + 2 + 2) + 55*q - 8*q - 21*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1933267\/95372560 + 40\/29077. Calculate the common denominator of b and 87\/2624.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/3, 9102?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/3)\/(198\/(-22)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.46, -3, -5, -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21177.\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112950106 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -532*k**3 - 38*k**2 + 38*k - 38. Let z(o) be the first derivative of 71*o**4\/4 + 5*o**3\/3 - 5*o**2\/2 + 5*o - 1715. What is -5*m(d) - 38*z(d)?\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 490563*w**2 - 2943405*w - 4415121.\nAnswer: (w - 490569)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -158.5, 0.4, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/29456 and -41\/616.\nAnswer: 324016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.424361 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pff. What is prob of sequence fpf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 117, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:27 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose 4*r = -r - 2*t - 31, r = 2*t + c. Suppose 0 = 5*h - 3*l - 19, -3*h + 5*l = 5 - 26. Sort 3, h, r.\nAnswer: r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-8)\/3) + 721\/206. Find o such that 12\/7 + 16\/7*o + 4\/7*o**h = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2050 and 0.22.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w - 1)*(56 - 56 + 27*w**2) + 4*w**3 + w**3 + 4*w**3 + (-w**2 + w - w)*(3*w + 4*w - 5*w) + 2*w**3 - 4*w**3 + w**3.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 + 4. Let g be h(6). Let b(y) = -6*y**3 - 5*y**2 + 4*y + 3. Let u(p) = 5*p**3 + 4*p**2 - 3*p - 2. Calculate g*u(x) + 3*b(x).\nAnswer: 2*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47994190 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1540*o**2 + 20009*o - 39. Determine g(-13).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**3 + 2. Let o(k) be the second derivative of -k**5\/20 - k**2\/2 - 2*k. Let l be (-58 - 2)\/2*445\/(-2670). Determine l*o(a) + v(a).\nAnswer: 4*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 77649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.5 - 27.5. Which is the closest to -19\/4? (a) -0.4 (b) 0.3 (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19074 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + ((sqrt(128) - (sqrt(128) - (sqrt(128) - 2*sqrt(128)*3 - sqrt(128))))**2 - sqrt(128)) - sqrt(128) - 6*(sqrt(128) + 3)**2) + -1.\nAnswer: -296*sqrt(2) + 3785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -39. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2967130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307\/43 or -6?\nAnswer: -307\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 106 = -94. Let z be 2 - (-4 - 77)\/(-3). Let d = y + z. What is the remainder when 58 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-19 - -49)*16\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 4*b + 9. Let n(y) = y**2 + 5*y + 5. Let p be n(-4). Let f be (-8 + (2 - p))\/(-1). Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)*t*t**(-11\/5)*t**8*t\/t**(-9) assuming t is positive.\nAnswer: t**(914\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22296816*h**3 + 2*h**2 - 8480*h - 2330 wrt h.\nAnswer: 133780896*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 8, 25, 60, 119, 208, 333?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o - 9. Let b be j(3). What is the units digit of 1 - b - 60\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 13*m**3 - 10*m**3 + 24*m**3)*(-1 - m + 1).\nAnswer: -m**4 + 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10063922 - 10063922 + 9*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let b be v(-1). Let o = b - -4. Suppose -14 = -5*m + o*m. Solve -m = -2*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 2. Let g be -1 - -3 - (21 - -2)\/1. Let k = g - -28. What is the least common multiple of k and x(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - -1) - 0 - (389 - 400)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107\/4 + 27. Is 1\/3 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0309154 rounded to two dps?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 696, 1141, 1586?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obvg when four letters picked without replacement from {b: 1, o: 1, v: 2, a: 1, j: 2, g: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:58 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1928 + -1927.99865. Round v to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5510284569.\nAnswer: 3, 349, 1754309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 18*u**2 - 27*u + 23. Let k be y(19). Let r = k - -1421\/11. Let z = r + -21\/55. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1436, 2875, 4312, 5747?\n\"Answer: -z**2 + 1442*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3772203.\nAnswer: 3, 19, 66179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/110 - -4\/11. Which is the fourth smallest value? (a) -4 (b) -0.3 (c) j (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 13*f**3 - 10 + 9 + 8.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154672*n + 154706*n + 2176 = 0 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Let g(n) be the first derivative of 0*n + i*n**2 - 1\/14*n**4 - 2\/21*n**3 - 1. Find h, given that g(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17598 and 80\/21.\nAnswer: 17598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:41 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19723.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 770*b = -99*b - 59*b - 17442 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b + 5. Let v(u) = u - 1. Let s(f) = -f + 1. Let a(j) = 6*s(j) + 5*v(j). Let q(r) = -4*a(r) + n(r). Let k(x) = -13*x + 3. What is -2*k(t) + 7*q(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -38. Let u be 16\/7 - (-4)\/(-2). Which is the third smallest value? (a) v (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -3\/4*k**4 - 5\/3*k**3 + 0*k + 2 + 0*k**2. Find the third derivative of v(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8099.562 decades in centuries?\nAnswer: 809.9562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1178\/7 + 168. Which is the nearest to w? (a) 2\/9 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/41, 5, 48.5, -0.3, 0.5?\nAnswer: 48.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let b(m) = 9*m**3 - 9*m**2 - 7*m**3 + 6*m + 17 - m**3. Let n be b(8). What is the closest to 1 in n, -5\/3, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -36, -35, -3, -5, 8 in descending order.\nAnswer: 8, -3, -5, -7, -35, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43584 and 8?\nAnswer: 43584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -9771906, -2, 1 in decreasing order.\nAnswer: 1, -1, -2, -3, -9771906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1550*0.35\nAnswer: -542.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let h be g(2). Suppose 0 = h*y - 0*y + 3*z - 60, 4*y - 108 = -3*z. Let j be y\/11 - (-2)\/(-11). Sort j, -4, -1.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 10*k + 188. What are the prime factors of h(-54)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/46 - (39 + (-3755796)\/96140).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, 5, -308?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -460, -388, -272, -112, 92, 340?\n\"Answer: 22*d**2 + 6*d - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18589500 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 826*l - 1591*l - 18587*l - 368*l - 3683*l as m*l + p and give m.\nAnswer: -23403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2718*s + 2510*s - 7598*s + 2616*s + 1 in the form h + w*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 15 + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a day?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + 0.08. Let c = x + -0.5. Let h = 21954 + -65863\/3. What is the closest to c in h, -3, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k. Suppose k = 4*f - 115 - 9. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*i + 4*x, i + i - 8 = -5*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/2 (b) -14.1 (c) -4 (d) 5 (e) 157 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19653508830 and 0.2.\nAnswer: 19653508830.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-27 - -50) - (0 + 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25578.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 27*j + 30*j = 384, -5*j = -4*q + 352. Let w = 130 + -82. Calculate the remainder when q is divided by w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3045 and -41\/6545.\nAnswer: 569415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.5685*-0.04.\nAnswer: -2.38274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/80640 + h**7\/10080 + h**6\/2880 - h**5\/20 + 3*h**2. Let l(x) be the third derivative of f(x). Factor l(t).\nAnswer: (t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 4. Let v be w(-6). Find the third derivative of -5*l**v + l**2 + 4*l**6 + l**2 wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9363, -36919, -82845, -147141, -229807, -330843, -450249?\n\"Answer: -9185*k**2 - k - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 248 = -1508. Let i = l + 453. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -570845\/29 + 19681. Are -2 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*h**3 + 32*b**3*t - 19*b**2*h**3*t + 2*b**2*h**2*t + 13*b*h**2*t wrt b?\nAnswer: 12*h**3 + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782620.\nAnswer: 2, 5, 109, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*k + 28062 = -4663, 19626 = 3*m - 3*k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3805012 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20525, 21031, 21539, 22049, 22561?\n\"Answer: t**2 + 503*t + 20021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149019 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**4\/12 - a**3 + 3*a**2. List the prime factors of z(17).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y - 92 = 92 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2029 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*s**2*v**4 - 2*s**2*v**2 + s**2*v + 5*s*v**5 - s*v**2 - 95*v**2 wrt v?\nAnswer: -7800*s**2*v + 300*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 12. Let y(r) = -r + 2. What is -o(j) - 3*y(j)?\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -151585*q + 23950442. What is g(158)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 13*d - 28. Solve -5*g + 2*n - 4 = 0, -g + d = g + 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187*g - 88 wrt g.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -19*k - 20. Let v(c) = 32*c + 39. Give 5*a(l) + 3*v(l).\nAnswer: l + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + 19*c**4\/24 - 34*c**3\/3 + 1616*c**2. Determine l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9134 + 593. Is -2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2. Let z(c) = -5*c**3 + 4*c**2 - 3*c. Suppose -6*g - 1104 = -4*g - 2*s, 2*g = 4*s - 1110. Let h = -550 - g. What is h*z(w) + 4*x(w)?\nAnswer: w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/7, 0.51163, 1?\nAnswer: 0.51163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -5*f - i - 3*i, 5*i + 5 = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 2*r**2 - r - 2. Let s = -472 + 533. Calculate the remainder when s is divided by l(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482319160?\nAnswer: 2, 5, 12057979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = 19*o - 1375 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -71. Suppose 2*c - r = 3, -3*r = -4*c + r + 8. Let l(g) = 7*g**3 + g**2 - g + 1. Calculate the smallest common multiple of b and l(c).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -47 = -3*u + 2*l, -m*u + 0*l - l = -70. Let x = u + -3. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21676007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -2.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 751217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/22715 and 38\/6790605.\nAnswer: 522876585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 3}. What is prob of picking 2 v and 2 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1. Which is the closest to z? (a) -1 (b) -2\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2726*z + 46. What is the hundreds digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -17*u**3 - 988*u**2 - 107*u + 525. Give g(-58).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-2 + 2*v**4 + 2) + (-v**3 + 2*v - 2*v)*(2*v + 0*v - v) - 75*v - 25*v**4 + 75*v.\nAnswer: -22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13509)\/(-4)*7168\/768.\nAnswer: 3, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, o: 6}. Give prob of sequence ow.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**3 + 1981 - 1981.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 116. Let l(h) = 3*h + 173. Let n(g) = 5*l(g) - 7*v(g). Calculate the remainder when n(-4) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 737*w**2. Let x(b) = -680060*b. What is x(y(a))?\nAnswer: -501204220*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -0*o + 60 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19867, -19829, -19789, -19747, -19703?\n\"Answer: y**2 + 35*y - 19903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*s, -m + 1 = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -22 - (4\/(-4) - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 1) + 74\/(-37). Solve -w*a - 2*a = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 20 + -10 + (10 - -1 - 135)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 750767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 424\/(-1378)*26\/4. What is the closest to -2 in -4, a, 4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*9\/(144\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221102 (base 3) to base 5.\nAnswer: -10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -19*w + 26. Let b be k(-9). Suppose b = z + 51. Suppose -z*j = -150*j. Solve 5*v - 5 = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.32, -4\/3, -11\/7, -3, -2\/7.\nAnswer: -3, -11\/7, -4\/3, -0.32, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdrdrdrdrrd. What is prob of sequence rdrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {e: 4, h: 8, f: 2, v: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71043, 71069, 71095, 71121, 71147?\nAnswer: 71173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 14. Suppose -d*l - l + 12 = 0. Let i be 22\/3 - (-1)\/(-3). Solve 4 = l*y - i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) - 0\/(-5 - -8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*a - 80, 2*h + 17 = 3*h - 2*a. Suppose 0 = 8*n - 274 + 58. Suppose -h*u = -n*u + 72. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -3, 3, -1, 2, 46.\nAnswer: -3, -1, 2, 3, 36, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - (-2 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342803*u**2 - 38*u - 99?\nAnswer: -685606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 429*n*q**2*u - 11*n*q**2 - 51*n*u - n - 27 wrt u?\nAnswer: 429*n*q**2 - 51*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(3*-1*sqrt(1872)*2 + -2))**2.\nAnswer: 10368*sqrt(13) + 2426256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.82 + 9.24. Let t = c - 6.42. Let k = 1 - 1.5. What is the nearest to 0.2 in t, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9455*o - 9456*o + 2*g - 31 = -6, -2*g = -12*o - 344 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w - 156*w + 15*w + (-3 - 1 + 3)*(2*w + 0*w - w))*(1 - 1 + 2*w**2).\nAnswer: -324*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -1\/4, -102, -824?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 0.147863.\nAnswer: -9.315369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5007 and 3.8.\nAnswer: 19026.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 31*q**2 + 639*q + 77. Is j(44) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-4) + 3\/(-6). Suppose -5*m - 15 = -2*r, 3*r + 0*r = 2*m + 6. Suppose -60 = -r*b - 3*b. What is the highest common factor of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8719726 + 25.1280424. Let l = v - 26. What is l rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**5 + 715492*m**3 + 8185*m**2 + 12*m - 63?\nAnswer: 420*m**2 + 4292952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/3, 79, -996, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 4*q + 7. Let w be y(6). Let t = w - -5. Solve -l = -t - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/(-39))\/(4\/48*4). Solve 0 + g*i**2 + 0*i**3 - 4\/3*i - 2\/3*i**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 248510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -22. Let p = g - -1.4. What is the nearest to -1 in p, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 2*w)*(4 - 2 - 1)*(0 + 2 - 1) + 1 - 1 + 5*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 205*g**3 + 17*g**2 + 177*g - 32. Is h(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 14, 37, 58, 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100781.4957 rounded to the nearest ten?\nAnswer: 100780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 9*f**2 + 2. Let q be i(9). Suppose -q*h - 92 = -6*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26326332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/123 and 12\/(-20) - (4 + 1948\/120)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/c**(1\/7)*c**5\/(c\/(c*c**(-4)\/c))*(c**(-5)\/(c**(2\/13)\/c))**(1\/14) assuming c is positive.\nAnswer: c**(233\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.016216 centuries?\nAnswer: 1219.4592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 8*g + 6. Let c be p(5). Suppose -a + 16 = -5*a, 2*x + 5*a + c = 0. Solve -2*f + 3*s - 4*s = 11, 7 = x*f - 5*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 23. Let g = x + 20.92. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5192416418*l**2\/13 - 203812*l\/13 - 2\/13.\nAnswer: -2*(50953*l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 96 = 0. Let g be -3 + 3 + d - 3. Solve -2*k + 3 + 28 = 5*v, 3*k = -4*v + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82763430 and 3059?\nAnswer: 579344010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-88) + (-87)\/(-312).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - 0) + (-15 - (-12 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160148 + -3843419\/24. Let u(g) = -g**3 - 9*g**2 - g + 7. Let i be u(-5). What is the common denominator of 1 + (-1)\/(i\/(-210)) and d?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r + 2. Let f(j) = 52*j + 4. Give -5*f(w) + 12*u(w).\nAnswer: -8*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -618699.7 to the nearest 1000.\nAnswer: -619000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.057 and -67.416.\nAnswer: -67.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, -4, 689?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = -21. Let f be q\/(-16) - 14\/(-8). Let b = f + -2. Which is bigger: 1\/3 or b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0.9 (c) 2 (d) -0.17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2341260?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 5*i + 10*i - 30*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*f - 33, -2*f - 1 = -f. Let b(x) = 4*x + 38. Let a be b(-9). Let s be 1\/a - 760\/(-16). Calculate the greatest common divisor of s and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 3\/5, 16, -1\/3, -0.5 in descending order.\nAnswer: 16, 3\/5, -1\/3, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 28*d**2 + 427*d + 1940. Calculate f(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1380265703 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38702581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19153749 and 1605.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -3 (c) -1349\/108 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 147*l - 144*l. What is the nearest to -0.1 in -2\/11, 0.2, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377641.049175605 - -6.450825195. Let d = z - 377645.8. Let l = d + -1.7. What is l rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 668658960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-5) - 8) + 8 + 0. Solve 8 = -4*t - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 5*m + 8*m + 9*m to d + n*m and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 5. Let p(w) = -2*w + 4. Suppose -4*h = -3*h - i + 2, -3*h = 2*i + 16. What is h*p(v) + 3*r(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172.39791 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 50, -27, 281, 2 in ascending order.\nAnswer: -27, -4, 2, 50, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0 + 20. Suppose 4*w - w = n + 33, 2*w - 22 = 4*n. Let i = u + w. Solve 10*s + i = -5*l + 5*s, 3*s = -4*l - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:34 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003687314285 to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**2 - 5\/4*n**4 + 17 + 0*n**3 + n. Let a(i) = -i - 2. Let w(h) = -h + 1. Let z(x) = a(x) + 2*w(x). Determine y(z(u)).\nAnswer: -135*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(-24)\/(p**0)**(3\/7))**15 assuming p is positive.\nAnswer: p**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + -11.5. Let o = -13 - f. Let r = o - -6. What is the third smallest value in r, -2\/13, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265627 - -42717. What is x rounded to the nearest one thousand?\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407724.\nAnswer: 2, 3, 61, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 5. Let q(m) be the second derivative of 0 - 1\/12*m**4 + 0*m**2 + 0*m**3 - 23*m. What is k(q(z))?\nAnswer: -2*z**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14525 - 14521. Solve a = 2*q - 2, -2*a - 41 = o*q - 61 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 1\/6 (b) -3\/2 (c) -5 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6153923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o + 0*o - 1 + 148*o - 3 + 3 - o + (3 - 1 - 1)*(o + 5 - 5) - o - 2*o + 4*o to r*o + p and give r.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*v**2 + 11*v**2 + 8*v**2 - 3 - 296*v**2 - 65*v**2.\nAnswer: -488*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5886383 microseconds in milliseconds?\nAnswer: 0.0005886383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 72340.35 seconds?\nAnswer: 1205.6725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*i**2*p**3*u**2 - i**2*p**3 + 10*i**2*p*u + 11*i**2 - p**3*u**2 - 2*p*u**2 - 3*p wrt u.\nAnswer: 18*i**2*p**3 - 2*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, b: 1, g: 2, h: 2, j: 1}. What is prob of sequence jgb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 37, 74, 133, 220, 341, 502, 709?\n\"Answer: a**3 + 2*a**2 + 8*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -27. Let x(g) = -12*g**2 + 10*g + 6. Let p(o) = 26*o**2 - 21*o - 14. Let n(m) = 3*p(m) + 7*x(m). Let a(y) = y**2 - y. Determine d*a(t) - 3*n(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2448, 2444, 2440?\nAnswer: 2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5578 + 5584. Solve 0 = -m - 3*d + 10 + t, -14 = -4*m - 2*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:01 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t - 6. Let n be z(-7). Find the common denominator of 1\/22 and (3 - 78\/32)\/(n + 0).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69.59853 litres?\nAnswer: 69598.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g + 234. What is i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13713 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:31 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -418444 or -418452?\nAnswer: -418444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:44 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255627438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7660 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -68. Suppose -4 - 31 = x*n. Let m(g) = 56*g**2 - 15*g - 10. Is m(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2364818\/8)\/((-359)\/(-1436)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u*u\/u**(-29))**(-3\/11))**(-16) assuming u is positive.\nAnswer: u**(1776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*0.2\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -411931*h - 3295318. What is c(-8)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.096 + 0.236. Let n = 0.14 - d. Let g = 3.3 - n. What is the closest to g in 2\/13, -3, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w**2 + 1. Let t(o) = -15*o + 13. Let v(p) = 7*p - 6. Let b(f) = -f + 2. Let l be b(8). Let c(s) = l*t(s) - 13*v(s). Calculate c(g(m)).\nAnswer: 14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86781, -173563, -260335, -347091, -433825, -520531, -607203, -693835?\nAnswer: -780421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 + i - 2. Let c(m) = -28*m**3 + 12*m**2 - 36*m + 44. Let s(x) = c(x) + 24*q(x). Factor s(f).\nAnswer: -4*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*d**6 - d**3 - 167*d**2?\nAnswer: -18000*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoo when three letters picked without replacement from qpopoqqqqp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598741.\nAnswer: 11, 13, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 - 15) - (0 + 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10459 and -0.4.\nAnswer: 10458.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 415930044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 240, -93, -492, -957, -1488?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/152)\/(13\/(-2)). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and 33\/167.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.50768 rounded to 0 dps?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 9*k**2 - 16*k - 17. Give j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9826563, 9826462, 9826361, 9826260?\nAnswer: 9826159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58\/17? (a) -0.2 (b) 51 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 27 = i - 83, 88 = -4*c - i. Let n = 6 - c. Suppose 3*m = -m + n. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-2747)\/(-737))\/(45\/(-165)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:10 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2076*v - 74. Let a be u(-2). Let x = a - -1701. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2197*l**4\/3 - 204659*l**3\/3 - 3929770*l**2 - 186023300*l\/3 - 939683000\/3 = 0.\nAnswer: -190\/13, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 - 3*y + 3. Let g(t) = -3*t**3 - 2*t**2 - 5*t + 5. What is -3*g(j) + 5*k(j)?\nAnswer: 4*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -13 + -6 + 23 + -28?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 13018815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Let v(t) = -t - 4. Let x be v(h). Let a(l) = l**3 - 4*l**2 - 4. Let u(n) = -n**2 - 1. What is x*u(i) + a(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 40, 33 in descending order.\nAnswer: 40, 33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2*d**4 + 5*d**2\/2 - 11*d + 48. Differentiate l(h) wrt h.\nAnswer: 24*h**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 8. Suppose 0 = 3*s + 5*f - 51, -3*s = -0*s - 4*f - 78. Calculate the smallest common multiple of s and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497342994 to the power of 1\/3, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291207711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by 44\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5677\/81100*(-10)\/(-28)*-4.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*y**2 - 11*y**2 - 6*y**2 in the form i*y**2 + b + a*y and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from pcxwa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3748 is divided by 1868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:44 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48479*-8.\nAnswer: 3.87832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/226 or 0?\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8027 - 8023. What is the fifth biggest value in 0.3, n, 1\/2, 3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315259.\nAnswer: 7, 29, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:09 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -713.\nAnswer: -68\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4872 is divided by 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844 + 397. Suppose -4*h - q = m - 277, m = 5*h + 1196. Round h to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -15 - (-474 - -504)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -1335?\nAnswer: 1335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qldddqldqddqll. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18080*u**4 + 5*u**2*v**3 - v**3 + v**2 + 13*v + 5529 wrt u?\nAnswer: 72320*u**3 + 10*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 19*m)*(65 - 6 + 63) as g*m + p and give g.\nAnswer: 2318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 758 + -1290. Let a = 339 - c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + -1 + 4 - (sqrt(891) + 1*sqrt(891)*-1)) + (5*1*sqrt(891) - (4 + 1*sqrt(891))))**2*2.\nAnswer: -180*sqrt(11) + 44552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w = -2805324 + 337796. List the prime factors of w.\nAnswer: 139, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((372\/3408)\/31)\/(5*(-11)\/440).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 27*n**2 - 23*n + 142. Let p be t(-28). Suppose -p*l - 32 = 452. Which is bigger: -243 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -35 - (-39 + 23)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5009?\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Let v(z) = 15*z - 6. Let h(b) = 16*b - 5. Let y(m) = 6*h(m) - 5*v(m). Give u(y(c)).\nAnswer: -882*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 46 = 2*b, -c + 2*b + 32 = 0. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**9\/7560 - t**5\/60 - t**4\/4 - 2*t. Let c(v) be the third derivative of y(v). Find the first derivative of c(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryrrscysykcykyysyr. Give prob of sequence skk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**3 + 119*c**2 + 352*c - 6. Let a be h(-3). Solve 6*k = -30*k + a for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 206\/42)*7\/3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 70*w**2.\nAnswer: -2*w**2*(w - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r. Let f(u) = 52*u - 6. Let j(x) = -2599*x + 299. Let o(i) = 299*f(i) + 6*j(i). Determine 5*o(h) + 16*t(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3 = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1786 at most 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + v. Let n(s) = s**3 + 10*s**2 - 2*s - 5. Let r(l) = -n(l) + 3*t(l). Suppose 33*h + 301 + 161 = 0. What is the hundreds digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329463?\nAnswer: 23, 101281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 100, 521, 1224, 2209, 3476, 5025, 6856?\n\"Answer: 141*c**2 - 2*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11538093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9861 + -128.0739. Let h = -12.76 - m. What is h rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/(6\/(-4) + -3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.4, 3\/11, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z - 8. Let l be a(-6). Suppose -5*s = -p - l, 3*p + p - 16 = 0. Let u be 1\/(-1 - 6)*(s + -3). Sort 4, u, 1\/10 in descending order.\nAnswer: 4, 1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-81) - (-547624)\/594 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 5*t - 5. Let d be f(1). Let b(i) = i**2 - 10*i + 32. What is the remainder when 31 is divided by b(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -25 - 2*x**2 + 11 - 3*x**2. Let d(s) = 277900 - 277900 - s. Determine d(n(u)).\nAnswer: 5*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5 - 1177422*c**4 - 7064462*c**3 - 1177362*c**2 + 28257808*c - 18838560 = 0.\nAnswer: -588705, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v - 3*v)*(-4*v**2 + 2*v**2 - 2*v**2)*(5*v + 17*v + v).\nAnswer: -92*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 12. Suppose -3*u + 5*u - 2 = 0. Let a be -2*((-10)\/4 - u). Solve -a = 4*r + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j**2 - 6*j - 1\/3*j**3 + 5. Let g be z(-3). Solve -m - 3*v = -1, 0 = 5*m + g*v - 4*v + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 2. Let u(m) = 20*m + 2. What is the tens digit of u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(1100)*2*-5 + 0 + 5 + -5 + 1*(sqrt(1100) - 2*sqrt(1100)))**2.\nAnswer: -1100*sqrt(11) + 133123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -7*y**5\/12 - 1055*y**2 + 5. Let p(a) = -31*a**2. Determine q(p(j)).\nAnswer: -33635*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o**4 - 7*o**3 - 1491. Let l(g) = -26*g**4 - 10*g**3 - 2236. Let c(s) = 7*l(s) - 10*w(s). Differentiate c(p) wrt p.\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 148047*u + 2665. Let o be i(5). Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 at least 2894\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-3)*(-5)\/125?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112722 and -1.3.\nAnswer: -146538.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -10*q - 47. Let x be 1 - q\/6*4. Suppose -z + 5*i - 15 = 0, i = 3*z - 4*i + 15. Solve -x*y = -z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*j**2 + 355*j**2 - 1667*j**2 + 328*j**2 + 2 + 350*j**2 + 357*j**2.\nAnswer: 54*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 37 - 10 = -4*r, -2*b - 5*r - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-24)*742)\/((-6)\/72)?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315921 by 129.\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from {w: 1, r: 3, c: 3, q: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (384\/20)\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297571 (base 10) in base 13?\nAnswer: a55a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c*f*t + 990*c*f - 5*c - 9782*f*t**2 + 1614*f - 48*t**2 wrt t.\nAnswer: -8*c*f - 19564*f*t - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/(16\/(768\/(-140))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11200 (base 3) to base 16.\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12780282.\nAnswer: 2, 3, 2130047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.09 (b) -5 (c) -0.1053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499.7*1.3.\nAnswer: 649.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 2, i: 1, f: 1, x: 1, c: 1, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/140 in 4.78, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*2*1*sqrt(68))\/(sqrt(576) + (sqrt(144)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: 1088\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228601 = 53*n + 226534 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 7) + 172 + -157 - 32.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-4 + 5 - 4). Let n be 9*(-1 + 2)\/w. Solve -4*y - n = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81789*z**4 - 166899?\nAnswer: 327156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105280 and 640.\nAnswer: 210560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -0.3282\nAnswer: -8.6718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1\/(-4)*-4. Let w(f) = 18*f - 14. Let n(m) = 21*m - 14. Let j(g) = -5*n(g) + 6*w(g). Let i be j(8). Solve -k*v = -v + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 - 12*j**3 - 2140*j**2 + 18300*j + 45000 = 0. Calculate j.\nAnswer: -25, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 26*t**2 - 505*t + 40. What is n(-15)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-2 + 10)\/(-176)*-1). Let o(p) = p**2 - 2*p + 2. Let u(n) = -2*n**2 + 4*n - 3. What is m*o(c) - 6*u(c)?\nAnswer: c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + 14. What is the tens digit of (-7 + 1)\/((-6)\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26936789 minus 0.1?\nAnswer: -26936789.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - 17) + 38 + -1 + 91.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*w**2 - 210*w**2 + 346*w**2 + 2.\nAnswer: 203*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60225 and 587796.\nAnswer: 14694900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2, 4, 0, -0.2, -2\/3743 in increasing order.\nAnswer: -2, -0.8, -0.2, -2\/3743, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636 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: Is 58 a factor of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-98) + 627\/7. Let o = n + -74. Calculate the remainder when 141 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 4*t**5 + (0*t**3 - 4*t**3 + 2*t**3)*(2*t**2 - t**2 + t**2) + 96*t**5 - 504*t + 504*t + 5*t**5 + 0*t**5 + 2*t**5 + 1 + 4*t**5.\nAnswer: 104*t**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104626010?\nAnswer: 2, 5, 37, 282773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1592425914 rounded to four dps?\nAnswer: -0.1592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 68922027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 + l. Let s be g(1). Let r = s + -25\/3. Which is the third biggest value? (a) 0.1 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 13 = -4. Let m = t + 5. Let c = m - -48. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45576306 is divided by 549?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 13*w + 10. Determine g(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((78\/455)\/((-143)\/(-273)*9))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/594 in -735, -2\/13, 3, -4\/5, 4\/5, 1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/19)\/((0 + -1)\/3). Solve -y*t + 5*u - 31 = -12, 4*u + 1 = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-4627\nAnswer: -4627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 128 = -4*v + 2*s, -2*s - 96 = -3*v. Suppose 5*a - a - v = 0. Suppose -2*k = -22 - 22. Calculate the smallest common multiple of k and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 468452 = 10*c + 31*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c2 + 566e?\nAnswer: 5d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 84 = 17*g. Find the third derivative of 6 + 12*r**6 + 9*r**6 + 2 - g*r**2 wrt r.\nAnswer: 2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 + -249.786. Let l = 0.014 - t. Let f be (-20)\/8 - (-4)\/2. Which is the third biggest value? (a) l (b) 0.04 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = 2*i + 2*b, 4*i = b + 9. Suppose -w - 4*w = 2*j - 31, -2*j + 24 = -i*w. Suppose p - j = -9. Solve -l - p = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -837*a. Let x(v) = 84145*v. What is i(x(z))?\nAnswer: -70429365*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23620 from -3.469868.\nAnswer: 23616.530132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(1\/(-2) - 0\/5). Solve -3*y = -3 - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + c + 895, 5*c + 358 = 3*t - t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 + 3*y + 2. Let d be o(3). Suppose 4*k = 4*q + 24, -2*k = 4*q + 2*k. What is the common denominator of (q\/9)\/(d\/(-354)) and -23\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjikxjijkjjdkjak. What is prob of sequence xdi?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 166. Suppose 51 = -t*f + 135. What is the smallest common multiple of 66 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.07 - 0.07. Let z = 20 + -12. Let m be (3\/18)\/(2\/z). What is the closest to m in f, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 41. Let f(h) = -2*h + 28. Calculate -5*b(m) + 8*f(m).\nAnswer: -m + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (5*-4*sqrt(143) - sqrt(143))) + sqrt(143))\/(sqrt(99)\/(1*sqrt(9)) + sqrt(11))*-5.\nAnswer: -115*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.41 + -39.41. Let p be 1\/4*(-2)\/2. What is the nearest to -1\/2 in -2, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 124*x - 4 + 4.\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -511 - -515. Suppose -5*z - c*d + 115 = 0, 4*d = 3*z - 136 + 35. Suppose q = 4*r + 40, 3*r + 4 = -r. Calculate the highest common divisor of q and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-210)*(5 - (-72)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -2 - -15) + 2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8508 by -6.\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*h = 119*h + 11. Which is the closest to -3? (a) -0.34 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -3*sqrt(117)*2)\/(sqrt(54)\/(1*sqrt(6))) + 2 + (sqrt(832) + -5)**2*6 + -1.\nAnswer: -485*sqrt(13) + 5143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.2 + 7. Let u = -12 + 25. Let t = u + -15. What is the nearest to g in t, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 22 = 7*m + 11*i, 4 = -5*m + 8*i - 10*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x - 21*x**2 + 15*x - 3*x)*(5 + 4 - 1 + (-1 - 1 + 1)*(3 + 2 - 6)) in the form b*x**2 + p + a*x and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4255965\/(-90) + (-6)\/4. What is r rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r\/r**(-4)*r))\/(r\/(r*r\/(r\/r**(3\/5)))*r\/(r*r*r\/(r*r**3)*r))*((r\/(r*r*r*r\/(r*r**1*r)*r))\/r)\/(r\/r**(1\/4))*r**(4\/7)\/r**2 assuming r is positive.\nAnswer: r**(-1761\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303228784*m**2 - 23363075*m + 9?\nAnswer: 606457568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 47.1.\nAnswer: 1130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 123. Does l = -1\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12059 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 12:13 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c71 + 4?\nAnswer: -5c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.357 take away 301?\nAnswer: -290.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*q + q. Let y be (-1)\/q + (-55)\/(-4). Let f be y\/(-2)*12\/42. Let p(j) = 6*j**2 + 2*j + 1. What is p(f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Suppose -s*z = -3*z - 8. Solve 3*r - 1 = -4*g - 23, 2*g = z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (73\/(-2))\/((-3)\/12). Suppose 3*i + 5*f - j = 0, 2*f = -2*i + 4 + 92. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21951 less than or equal to -21953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*1 + 2262\/78 - 8. Suppose 5*j = x - 0*j + 14, 2*j - 8 = 0. Solve -2*y = -x + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaltq. What is prob of sequence lt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.1 + 3.1. Which is the nearest to 0.1? (a) -1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2 - s - 12. Let o be u(-3). Solve -2*d + o = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m = 26*m - 830. Let p(v) = -v - 6. Let g be p(-6). Solve g = -4*y + 6*y - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.937196406 rounded to 3 decimal places?\nAnswer: -5.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 4*x**2 + 15*x + 28. Suppose 4*h = -0*a + 2*a - 2, 0 = -2*a - 4*h - 30. Let d be s(a). Calculate the greatest common divisor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/8 - -1\/24. Suppose -1 = 2*l - 11. Suppose l*y + 10 = -0. Which is the nearest to -1\/3? (a) 0.4 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (987 + 205 - 91)*(-4 + i + 3 + 3) to n*i + h and give n.\nAnswer: 1101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -100, -171, -254, -355, -480?\n\"Answer: -i**3 - 64*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 59*a**2 + 4*a + 4. Let v(w) = -7847*w**2 - 531*w - 531. Determine 531*j(m) + 4*v(m).\nAnswer: -59*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 88. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 130*v**6\/9 + v**3\/2 - 17*v. Let g(q) be the second derivative of i(q). Let z be g(2). Round z to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 30 = 5*n - 3*o, -5*n + 3*o = -40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dc76f (base 16) in base 4?\nAnswer: -23130131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42216)\/(-87950)*(20\/6)\/1)\/(18\/(-5)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -54*n - 264 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110846262.\nAnswer: 2, 3, 18474377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azfzqoffjfofz. What is prob of picking 1 q, 1 z, and 2 f?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230 (base 4) in base 6?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1055?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiiri. What is prob of sequence ix?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 2*i)*(1 + 2 - 1) + 0*i + 3*i + 5*i - 2*i + 2*i - 2*i + i + 3 - 3 + (0 - 1 - 1)*(-3 + 3 - 2*i) - 3*i + i + i - 4 + 4 - 6*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 60*s + 3001. What is n(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*a + 299*a - 3920 = -15*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12611763 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4, -2, -911, 5 in decreasing order.\nAnswer: 7, 5, 1, -2, -4, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 657 - 661 + 1318.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Suppose -2*i + 0*j = j - 9, -d*j = -5*i + 15. Differentiate 2*h + 2 - 3 - i*h with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 5, e: 1, x: 1}. Give prob of picking 1 b, 2 h, and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -99. Is 5 a factor of (0 - 10)*b\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95247.\nAnswer: 3, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039513691 rounded to five dps?\nAnswer: -0.03951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5\/8 - 20349*h**4\/8 + 12617451*h**3\/2 - 6824893950*h**2 + 2728865596968*h = 0. What is h?\nAnswer: 0, 1428, 2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -721.9 and 5.\nAnswer: -3609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -38385827 less than -38385827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/15 - w**5\/10 - w. Factor v(n).\nAnswer: -2*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3778480 and 170808?\nAnswer: 124689840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 18. Let b be 8\/z + 2\/(-9). Suppose b*n - 10*n + 1030 = 0. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.58 - -0.22. Let h = 3.4 + -4.7. Let g = s + h. Put 2, g, -2 in increasing order.\nAnswer: -2, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + -32. Is -156 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*b + 11 = -0*b, -17 = -p + 4*b. Let c(z) = -3*z**3 + 34*z**2 + 25*z + 10. Let v be c(12). Solve 5*m - 3*l = -16, -p*m + 3*l - v = 2*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -47*l + 44*l + 5, -4*l = -2*i. Let v = 0 - -0.1. Let k = -4.94 + -0.06. Which is the nearest to v? (a) k (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1.0801.\nAnswer: 1.0801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3611 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l**2 + l - 4. Let x = 7 + -3. Suppose x*u = -u + 30. Give j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1480885 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/4 + 12*t**3 - 335*t**2\/2 + 300*t + 2059. Factor u(x).\nAnswer: -(x - 20)*(x - 15)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 0 + 4)*(122 - 122 + 14*g) - g + 0*g + 2*g.\nAnswer: -195*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*o - 20, k + 4*o - 45 = -4*k. Suppose 3*r = v - 20 + 3, -2*r = 3*v + 4. Let a = k - v. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8754 - 6282 + 4718)*(-1 - 2*c + 1) in the form t*c + y and give t.\nAnswer: 20636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*k + 1, 2*m = -4*m - k - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2334 (base 6) to base 2\nAnswer: 1000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3401011355 - 5?\nAnswer: -3401011404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4*sqrt(162)*3)\/sqrt(3))\/(5*(sqrt(3) + sqrt(192))*-4))**2.\nAnswer: -8*sqrt(2)\/5 + 402\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*q - 110 = 0, -2*b - 76 = -5*b - q. What is the greatest common factor of b and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 + 1130 - 279 - g - 282 - 289.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q = -1, 3*q + q = 8. Let a(d) be the second derivative of 5*d**3\/6 - 17*d**2\/2 + 6*d + 16. Calculate a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 1 + 24*c - 91*c - 1467*c**4 + 1473*c**4 + c**2 as i*c**4 + s*c**3 + l*c + m*c**2 + x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124 + -2)\/14*1\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 - 203 - 3*u + 3*u - 7*u + 401.\nAnswer: -7*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145534619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 218 + 6. Find the common denominator of 101\/k + 5\/(-40) and -34\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -764 - -907. Let d be ((-1)\/(-2))\/((-1)\/28). Let c = 27 + d. What is the highest common divisor of c and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1868 - -1841. Put f, 9, -1 in decreasing order.\nAnswer: 9, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/3)\/(n**(-2\/11)\/n)*(n\/n**0)**(-17\/5))**(-20) assuming n is positive.\nAnswer: n**(-296\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8621342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.2 (b) -2494\/3 (c) -5 (d) 1.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 3159*s**2 - 1580*s**2 - 1581*s**2)*(-73 + 73 + 11*s).\nAnswer: -22*s**3 + 451*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 9*v + 3, 19*v + 7 = f - 0*f + 14*v for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/456 - 145\/3192. What is the second smallest value in -1\/4, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 495 in -2, 1, -0.2, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268 + -48. What is the greatest common divisor of a and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1737\/144 + 26*(-72)\/156 + (1 - 1)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -271*j - 11 + 130*j + 3 + 139*j. Calculate n(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 34*b**3 - 69*b**2 + 57132*b.\nAnswer: b*(b - 69)**2*(b + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from fuluufuuuuuuuulllfb.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/70*623\/164294*71.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/5*x**2 + 2\/5*x**3 - 1\/5*x**4 - 2\/5*x = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -250. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 11 - (-7 + 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 24*z + 95. Let t be i(-3). Solve -4*n - 4*a = 0, 3*n = 6*n - t*a - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (2 - -15)*-1. Let a(b) = -b + 102. Let v be a(8). Let q = p + v. What is the remainder when q is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223830 divided by -5?\nAnswer: -244766","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 2*t**4 - t**2 + 3*t**4 - 5 - 3*t**4 - 2*t**3 as a + x*t + o*t**4 + c*t**3 + f*t**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -35420?\nAnswer: 35444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10.00529. What is l rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 39 = 39 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-4978.\nAnswer: -1493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(4\/2 + (-30)\/12). Solve -3*b + 4*m + 11 = 0, -2*b + w*b - 3*m = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 17*l - 15. Let b be f(-15). What is the greatest common factor of b and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 88432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4976 and 4839496?\nAnswer: 3010166512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44))*-2 - 3*-4*sqrt(44).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1278400 divided by 799.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = 5*k + 9, -3*o - 6 = -3*k. Let f be (-2)\/(-3)*k*3. Let v = -200 + 1002\/5. Which is the closest to 0.1? (a) 4 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5134 + 5037 - (2 - -23).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -409\/5, 0.3, -2\/23, 3.29, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -162529 <= -162421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446517 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, 2\/3, -1, 4920, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1128, -3, 4, 0.59 in descending order.\nAnswer: 4, 0.59, -3, -1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.99, 0.02, 2 in descending order.\nAnswer: 2, 0.02, -0.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-149)\/3725)\/((-2)\/30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -32. Solve -3*x = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**2. Let z(h) = 4528*h. Give z(x(b)).\nAnswer: 40752*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 + 45*n + 44. Determine i(-7).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 8 = -3*f. Solve -b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37716044 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4119*n + 0*n**2 + 4119*n - 602 - 256*n**4 + 0*n**2 wrt n.\nAnswer: -1024*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + (26 - 574\/8))*(-1)\/(-3)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and 3825.\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*f + 9213, 497*t - 498*t + 3063 = 3*f. What is the greatest common divisor of 750 and t?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -28*r + 1388. Let k be b(65). Is k equal to -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 - 1850088*p - 14800960 = 0 for p.\nAnswer: -8, 462530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554558 divided by -6.\nAnswer: -259093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2 - -7) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + 809.\nAnswer: 808.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -311?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.1 * -354.\nAnswer: 21629.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2379 = -90*r + 1851. Calculate the smallest common multiple of 79 and r.\nAnswer: 3713","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 36600515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3 - (-21)\/63 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = -3. Let y = 0.27 + 0.73. What is the nearest to 0 in -3\/5, y, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {j: 3, o: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/189)\/((-5638)\/14). Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 22. Let w be j(-10). Let s be ((-2)\/4)\/(w\/16). Sort -10, s, 3 in descending order.\nAnswer: 3, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71051, 71050, 71049, 71048, 71047?\n\"Answer: -v + 71052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13207132.\nAnswer: 2, 97, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 463069 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 + 4*b**2 + b - 3. Let l(d) = 3*d**2 - 4*d. Let f be l(2). Let x(i) = -6*i**3 - 4*i**2 - 2*i + 4. What is f*y(s) + 3*x(s)?\nAnswer: 2*s**3 + 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1581\/1785 + 2\/(-7). Factor 1\/10*r**2 + d - 1\/2*r.\nAnswer: (r - 3)*(r - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 + 14. Let j(i) be the first derivative of 3*i**2\/2 - 1. Determine j(h(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + x - 10858 = -10915, 4*t - 2*x + 0*x = 37 + 67 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**(2\/21))\/(d\/(d\/d**(-2\/7)))**(8\/11) assuming d is positive.\nAnswer: d**(-1129\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x**2 - x + 2. Let o(i) = -1. Suppose 4 = -3*b + 1. Let f(a) = b*c(a) - o(a). What is the derivative of f(z) wrt z?\nAnswer: -28*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2078, 1967, 1664, 1073, 98, -1357, -3388?\n\"Answer: -16*k**3 + k + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*l - 1. Suppose -2*k + 0 + l = 0. Put k, 1, 2 in increasing order.\nAnswer: 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1313055424.\nAnswer: 1313055423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, y: 4, j: 4, h: 8, x: 1}. What is prob of sequence yt?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:01 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 + 28*g**4 + 60*g**3 + 20*g**2 - 64*g - 48 = 0. Calculate g.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*l + l**3 + 2*l**3 - 163*l + 89*l as y*l**2 + b + r*l + w*l**3 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25621?\nAnswer: 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009365 rounded to six dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 3. Let l be (-4)\/(-18) - 94\/342. What is the nearest to 1\/4 in l, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*g**3 + 377*g**3 + 245*g**3.\nAnswer: 386*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Let c = 3 + -8. Let g = c + 3. Sort 2\/23, g, v in increasing order.\nAnswer: g, 2\/23, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3225381 and 1866?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0 + 4 - 3 + 3 to the form z + s*h**3 + o*h + k*h**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37329.901 - 37305. Round q to one dp.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5304 - 5305. Sort -1\/26, 2, w, 3\/8, -3 in descending order.\nAnswer: 2, 3\/8, -1\/26, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13)\/f)\/(f*f*(f*f\/f**13)\/f))\/(f*f**6)**(-2\/127) assuming f is positive.\nAnswer: f**(14787\/1651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:00 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(12\/(-4))*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5163, -5164, -5165, -5166, -5167?\n\"Answer: -q - 5162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106007*g**4 + g**3 + 18612*g**2 wrt g.\nAnswer: 2544168*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 235*b + 226*b + 230*b - 682*b. Let y(o) = -o - 3*o + 2*o. Calculate y(x(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 6:24 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z - 8. Suppose -3*d + 4 = 13. Let x = d + z. Solve -x*w = 2*b + 2*b + 10, 2*b - 15 = -5*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = 0, -o = 3*j - 3 - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = 0, -r + 0 = 5*b - 5. What is the second derivative of -25*t - 9 - 5*t**4 + 9 + b*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 13264 = -12896 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.2 + 0.8. Let u = -17 + -129. Let z = -147 - u. Which is the nearest to 2? (a) 3 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**(-3\/5)*l)\/l)))\/(l*l**0))**(-4\/3) assuming l is positive.\nAnswer: l**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 21, 22, 35, 66?\n\"Answer: g**3 - 3*g**2 - 3*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 17*u**3\/6 + 4*u. Let n be d(1). Let k = 19 - n. Sort k, 1, 5 in decreasing order.\nAnswer: 5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/79, 0.5, -3\/13, 0.0785.\nAnswer: -5, -3\/13, 2\/79, 0.0785, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2407, 2398, 2375, 2332, 2263?\n\"Answer: -o**3 - o**2 + o + 2408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2.7, 18, 1\/4, 12 in decreasing order.\nAnswer: 18, 12, 2.7, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3323 is divided by 1070?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**(-3\/5)*x))*x*x*x*x*x\/(x**(-2\/7)\/x)*x*x*(x**(2\/3))**(6\/17)*(x*x**(2\/3)*x\/(x**(4\/7)\/x*x))\/(x*x**1*x**(-1\/6)) assuming x is positive.\nAnswer: x**(32783\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 383, 760, 1137, 1514?\n\"Answer: 377*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 6*w - 28 = -4*i, 20 = 4*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 14*f - 588 + 362 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/((-42700)\/(-15512)) + 22?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*r + r = 10, 5*s = 2*r + 122. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81518 is divided by 2989?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-66))\/((-8)\/(-72)). Let o = -12 + 12. Is o at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215034?\nAnswer: 2, 3, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.023 (b) 2\/5 (c) -2 (d) -967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/75)\/((-1)\/(-10)). Put 7, -3, c in descending order.\nAnswer: 7, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19432 is divided by 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 671, 669, 667, 665, 663, 661?\n\"Answer: -2*v + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7552602 divided by 54729\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1984 and 15904?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 1, g: 1, w: 3, k: 2, a: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzwwmwzm. Give prob of sequence wzm.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1\/7*p**2 + 0*p + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -58. Let m = s + -38. Let x = m - -70.9999884. Round x to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:53 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 3\/5, -193247 in increasing order.\nAnswer: -193247, -0.08, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 14*v**2 + 14*v + 9. Give w(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 138806867?\nAnswer: 138806868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 39 - 13. Suppose 2*l + 5*g = k, l - 6 = -l + 2*g. Solve -5*j + 2 = l*x - 14, -3*j + 3*x + 15 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -95. Let x = 6 + -6. What is the third biggest value in 1, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -21, -34, -47, -60, -73?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1059 - 737. Let w be (16\/10)\/(i\/115). Which is the second smallest value? (a) -4 (b) 4 (c) 0.3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1. Let k = 20.3393 + -26.0393. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*k**3 + 3 - 6 + 3.\nAnswer: 368*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w + 8. Let v = w + 11. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 j, and 1 o when four letters picked without replacement from {o: 1, l: 7, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1 - 3 - (-4 + -3). Let b = -0.12 - 4.88. Let c = -2 - b. What is the closest to c in -2\/7, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1084 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (2 - 1)*3. Suppose 5*u = h + 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*c - 4*c - c)*(4 + 0 - 3)*(1 + 1 + 6) - c + 2*c + 0*c)*(1 + 5*c**4 - 1).\nAnswer: -395*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1743078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 549653243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (50 - (12 - 3) - -5) + (-5 - 5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2932.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42904.\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 42*n**3 - 19*n**3 - 7*n**3 - 4 + 6*n**3 + n - n**2 as x*n + y*n**3 + w*n**2 + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Suppose g*r = r + 14. Is (-2)\/r + (-86)\/(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.03, 302\/9, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -25. Suppose 0 = -i*b + 4*b. Let u(x) = -3*x**3 + 2*x**2 + 2*x - 18. Let t(c) = 4*c**3 - 3*c**2 - 3*c + 19. Let l(y) = -2*t(y) - 3*u(y). Give l(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-2)\/(-2))\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59224 - 59219 - 3680*x + 118443 to l*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125018 is divided by 41628?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 0*v = -4, b = 5*v - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854.659 rounded to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 11*a - 328. Solve 26*b = a*b - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-2)\/(-2)*-10. Let f be (-4)\/v + 19\/(-12). Let m = 8.893 + -4.893. Which is the second biggest value? (a) f (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.6 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3*o**2 + f**3 - 333625*f**2*o**2 - 2*f**2 + 18648*f + 81 wrt o?\nAnswer: 10*f**3*o - 667250*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*h**2 + 2145*h + 610.\nAnswer: 5*(h + 61)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 45 = 5*a, 5*y = 3*a - 2*a + 25. Let i = -124 - -211. Let v = 101 - i. Solve y*b - v + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 10. Let k = 155\/152 - 9\/8. Which is the third smallest value? (a) 5 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -392, -397, -412, -443, -496, -577, -692, -847?\n\"Answer: -n**3 + n**2 - n - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmf when three letters picked without replacement from mfmfflfmmfmkffkk?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8812 + -4938. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 934*k**2 - 4715*k + 18787. Calculate v(939).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604 + a**2 - 6*a**2 + 4*a**2.\nAnswer: -a**2 - 1604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -706\/63 + 80\/7. Let t = 3740 - 11357\/3. Let a = t + 142\/3. Sort c, -2, a in increasing order.\nAnswer: -2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6))**30 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 820\/6 + 55\/(12870\/1014)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 8) in base 15?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1584 - 50693\/32. Let k = 903\/160 - r. What is the common denominator of 25\/8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 12\/23 (c) -24 (d) -20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.064 (b) -92 (c) 23 (d) -2\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -266?\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 6. Let y(s) = 4*s - 13. Let x(p) = -5*q(p) + 2*y(p). Suppose 5*o = 2*o - 9. Let v be x(o). Solve 0*n + 10 = -4*j + n, v = 5*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:04 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3416, 6335, 9254, 12173, 15092?\n\"Answer: 2919*u + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d + 12*h = 38*d - 89*d - 264, -110 = 5*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 117. Let j = f - -309\/5. Which is the nearest to 0.1? (a) -2\/11 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgg when four letters picked without replacement from {g: 6, z: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:14 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/(4\/6). Let d = 1 + i. What is the first derivative of u - d + 1 + 0*u wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315048178.\nAnswer: 2, 13, 17, 31, 241939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.018 (b) -63 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 39*t + 168. Give x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 24\/13, -1, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 539*k**2 - 3391*k**2 + 1779*k - 888*k - 889*k - 2056*k**2 in the form d*k + x + h*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/150 - 4*c**4\/45 - 4*c**3\/45 + 16*c**2\/5 - 58*c + 2. Factor m(o).\nAnswer: -2*(o - 2)*(o + 4)*(o + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1748, 4, 5, -72 in descending order.\nAnswer: 5, 4, 3, -3, -72, -1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 197 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*k = 8*k + 33, -3 = r + 4*k. Solve 6*p - 3*p = -r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22409564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4155156.803 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6512 divided by 12529?\nAnswer: -592\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (640\/(-25))\/(2\/(-500)). Let s = -1385518 + 8274569\/6. Let z = t + s. Find the common denominator of 37\/20 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y + 4*h + 13 = 84*y, h + 5 = y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 13, p: 3}. What is prob of sequence rrrf?\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 579539740 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 28. Let x = p - 10. Solve -x - 1 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + 0*c)*(-2 + 6 + 15).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/16921455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 153?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 84\/6650*30*(-21)\/378\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/6)\/(10\/(-15)). What is the second smallest value in n, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + 1 + (-2 - 0). Let w = 332 + -2343\/7. What is the common denominator of (40\/(-42))\/(p\/(-45)) and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s + 26*s - 11*s + 16*s + 25*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38220 and 933300?\nAnswer: 594512100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 7*y**2 + 2*y - 11. Calculate the smallest common multiple of k(7) and 275.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -2)**2 - (2*sqrt(7)*1)**2 - sqrt(77)\/(sqrt(1100) + (sqrt(1100) - -1*sqrt(1100) - sqrt(1100)) + sqrt(1100)).\nAnswer: -17 - 121*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -13, -2\/7.\nAnswer: -13, -3\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251390.9cm in millimeters?\nAnswer: 2513909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20020 and 2387?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6354*r**3 + 2114*r**2?\nAnswer: 38124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118755 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 222734473 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:28 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 517*z**4\/6 + 7*z**3\/6 + 13*z**2\/2 + 4*z - 1. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714682318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {y: 5, z: 1, f: 3, q: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -5. Suppose -5*t - k = -4*t. Calculate the common denominator of 37\/14 and (t\/(-6))\/((-2)\/151).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 117?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 759\/14 + -109\/2. Let u be (136\/(-204)*(-3)\/8)\/(-1). What is the fourth smallest value in a, 4\/3, u, 1\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5 = -0*f + p, -5*p = 4*f + 9. Suppose 0 = -6*b + b - 5. Is f greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1363 + 543*u - 1363 + 4*u - 2*u + 0*u - 1 + 2*u + 1 + (6*u - u - 3*u)*(0 - 4 + 5) - 2*u - 2*u + 3*u.\nAnswer: 548*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/87)\/(164\/(-36) + 5). Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let b = 1 - l. Suppose -10 = b*w - 4*t, -2*w = t - 4 - 1. Solve 13 = 3*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -5, 1, -4, 2.\nAnswer: -5, -4, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4652 = -5*v + 17292, 5*v + 20 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1539 <= -1539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 467823713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 21 (c) -3\/4 (d) 114 (e) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(208) + -4 + 4 + sqrt(104)\/(sqrt(32)\/sqrt(4)) + sqrt(26)\/sqrt(32) + -3.\nAnswer: 2 + 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108449480053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(0 - 1 - 1)*(4 + 0 - 5)*(-6*v + 4 - 4).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 2. Let u(w) = 7*w + 5. Let d(j) = -8*r(j) + 3*u(j). Let z be d(1). Let y(f) = 3*f - 4. Calculate the remainder when y(z) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y + 51*y - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672816750 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 16 = 4*y. Let t(a) = a**3 - 4*a**2 - a + 2. Let k be t(y). Is 7 a factor of (-24)\/30*45\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0 + -4)*-2.\nAnswer: -22*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpckklkk. Give prob of picking 1 p, 1 k, 1 l, and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is cc22 (base 15) in base 6?\nAnswer: 532052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 11786058.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1623965.\nAnswer: 8119825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2276\nAnswer: -4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 4*l + 0 - 2*l**3 + 0*l**4 + 0*l**6 + 1\/2*l**7 + 0*l**5 + 0*l**2. Find the second derivative of t(g) wrt g.\nAnswer: 420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -5ced2?\nAnswer: 5cec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 8 = -2*p, 0 = 2*l - 2*p + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/290625 and -47\/35.\nAnswer: 2034375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(288) - sqrt(288)) + sqrt(288))**2 - sqrt(6)\/sqrt(3)*-4) + -3 + 5.\nAnswer: 4*sqrt(2) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 187*m\/4 + 579\/2.\nAnswer: -(m - 6)*(m + 193)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, j: 3, r: 5, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose 5*s - 16 = -3*d, m*s + s = -4*d + 8. Suppose x = 27 + 1. Solve r - x = -3*r - s*h, h - 2 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1571040033 and 582.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**2*s + 21*q*s - 2*q + 758*s wrt q.\nAnswer: -16*q*s + 21*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkuukmmbu. Give prob of sequence ubm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -288. Let l(r) = -r**2 + 37*r - 52. Let s be l(35). Calculate the highest common factor of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 3542?\nAnswer: -3538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 20152.\nAnswer: 20152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2028)\/(-780) + (-56)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -24*d - 198 + 1\/3*d**3 + 0*d**2. Give h(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 19. Suppose -2*n + 5*c = -23 + 3, 0 = 3*n - 2*c - v. Let s(j) = j**2 - 3*j**2 + n*j**2. Let b(u) = -u**2. Calculate s(b(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (5\/6*(-1677)\/430)\/(2\/(-736)) and 364?\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - x = -4*z + 48099, 5*z - 48105 = -5*x. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Suppose -p - i*o + 970 = 0, p - 863 - 80 = 4*o. Suppose d + p = 6*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(8*195\/120)*1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (736 - 709) + -18 + 0 + -40.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 - 11*a**2 + 20*a + 37. Is v(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53752 rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from hhhnumhono?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 125*p + 3 + 117*p + 2*p**2 - 2*p**2 - 247*p + p**2. Let b be x(3). Let r = 867 + -5219\/6. Is b at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12527 - 11*l + 12527. Let w(o) = o - 2. Let i(y) = -6*y + 11. Let j(p) = 4*i(p) + 22*w(p). Calculate j(m(x)).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11337966*q**4 - 71095865*q?\nAnswer: -136055592*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156964 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-168)\/28 + (-40)\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*n = -3*g - 8, 0 = -4*g - 5*n + 20. Let z(o) = o**3 - o**2 + o + 1. Determine z(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 79. What is the smallest value in f, -6, -5, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64994, -64498, -64002, -63506?\nAnswer: -63010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3 + (1 + sqrt(147) + -5)*-6)*5*-2)**2.\nAnswer: -226800*sqrt(3) + 602105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i**2 - 2*i - 4. Calculate m(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 - 16*o**4 + 32*o**3.\nAnswer: 2*o**3*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 49. Suppose 2*c + c = -w*o + 183, 4*o - 5*c = 139. Is (-5277)\/(-4) - 9\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/67 in -4, -0.3, -1406, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 12 - (-3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-21)\/6)*4\/(-25)*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7965 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1. Let y = f + 0.4. Let b = 0.5972 + y. What is b rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2770 - -2867. Solve -13*r + 71 = i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a4 - -1?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*d - 229, 0 = 3*j - 5*j - 5*d - 148. Let s = j - -104. Suppose -q + 6*q = 375. Calculate the greatest common divisor of s and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by (-246)\/(-7) - 18\/(-21)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by 22\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 5*h**4\/24 + h**3\/2 + h**2. Calculate the remainder when f(5) is divided by ((-15)\/9)\/(-4 + (-70)\/(-18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -17*l**2 + 5*l + 6. Let r(f) = 35*f**2 - 11*f - 13. What is 6*r(p) + 13*z(p)?\nAnswer: -11*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1493636 and 88282?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 6*v + 9*v. What is the least common multiple of v and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.525836*-86\nAnswer: 131.221896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/7, 25\/3, 1\/2, 386, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2023\/221)\/((-357)\/4641)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58\/4*(-37 + 4 + -13). Let a = h - -670. Solve 3*w = -3, a*w + 25 = -5*b - 2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f**2 - 3*f - 7. Suppose x = -x - 14. Let z(r) = 21*r**2 - 8*r - 5. Let g(j) = 2*j**2 - j. Let k(y) = 6*g(y) - z(y). Calculate x*k(s) - 5*w(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 12. Let v be x(3). Suppose v = -5*m - 7*p + 4*p - 90497, -2*m - 36205 = -5*p. Round m to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 3*c)*(-4*c**4 - 4*c**4 - 3*c**4 + (4*c**2 + 3*c**2 - 4*c**2)*(3*c**2 - 4*c**2 + 3*c**2)).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 443866407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11176375?\nAnswer: 5, 7, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9369*m**2 + 1631*m + 20. Let q(v) = -1874*v**2 + 326*v + 3. Let f(y) = 2*c(y) - 11*q(y). What is the second derivative of f(t) wrt t?\nAnswer: 3752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13475 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l - 4*l. Suppose l*n - 216 = n - b, -b + 858 = 4*n. Let j = n - 82. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34760 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56 (b) -22 (c) 21.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204893 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 191*t**2 - 14*t + 78. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634485863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-26) + 175\/546. Sort 5, g, -13\/4 in descending order.\nAnswer: 5, g, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3647*x**2 - 2014*x**2 + 248*x**2 + 3*x - 3*x to the form k + b*x + p*x**2 and give p.\nAnswer: -5413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1051, 0.02, 738, 3, -0.3 in increasing order.\nAnswer: -0.3, 0.02, 3, 738, 1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3\/7, 1\/10 in decreasing order.\nAnswer: 25, 1\/10, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 12. Let u be y(8). Let k(t) = -4*t + 3*t - 5 - t. Let h(i) be the second derivative of -i**3\/3 - 2*i**2 + 3*i. Give u*h(c) - 3*k(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 5. What is the tens digit of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*l + 839*l = 469*l + 4214 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3377, 11, -6, 2, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5775, -23304, -52589, -93630, -146427, -210980?\nAnswer: -287289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-23\/3)\/i*i\/i**(-1\/15) assuming i is positive.\nAnswer: i**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*f + 80*f = 765. Is -764 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2 - 2)*(0 + 0 + o) + (-3 - 2*o**2 + 3)*(3*o - 3*o + 5*o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.187954 times 3?\nAnswer: 9.563862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*g + 13057 = 13242 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122 times 322321?\nAnswer: 39323.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - u + 6. Solve -u = -3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2 + 53*o - 338. Let u be ((-6)\/4 - -1)*-2. Let a(t) = -u + 1 - t. Give x(a(q)).\nAnswer: 2*q + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**(-8))**(-4\/31) assuming s is positive.\nAnswer: s**(28\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40740363 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 16*h - h + h + h + (-3 - 1 + 5)*(0*h + 2*h + 0*h) + 2*h + h - 2*h)*(h**2 - 2*h**2 + 0*h**2).\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Is 66 - (c + -4 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -18. Suppose 4*n - 31 + 19 = b. Suppose -2*z - n*z - 5 = 0. Sort -3, z, 0 in descending order.\nAnswer: 0, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -28. Let q be -1 + n + 7 + -5. Let h(m) = m**2 + m + 5. Let p be h(-5). Calculate the highest common factor of p and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 41, 22?\n\"Answer: -19*b + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/30 - (-308)\/(-4620).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*73\/(2920\/60)*(-4)\/6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -794 - -800. Suppose -c*j + 114 + 66 = 0. What is the lowest common multiple of 90 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let h(x) = x**2 + 2*x - 4. Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2025*p - 75 + 29 + 46 - 2*p**2 - 18*p**4 + 20*p**2 wrt p?\nAnswer: -216*p**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose -c + 20 = 3*c. Put d, c, -5 in decreasing order.\nAnswer: c, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.7, -1, 1, -3, 8?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1025 - 223*w - 952*w - 2024*w - 1025 in the form i + n*w and give n.\nAnswer: -3199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*u**3 - 1169*u + 23851.\nAnswer: -15*u**2 - 1169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 35 (c) 0.195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/570 and -51\/21538495.\nAnswer: 129230970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 6 = -y. Suppose -s + o - 2 = 18, -5*o - y = 2*s. Is s greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17828101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29228?\nAnswer: 2, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 10*u + 20. Let l be s(8). Solve 3*w + l = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 plus 3907.258?\nAnswer: 3251.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -265258*r**2 + 1149*r + 2*r**4 - 3*r + 265259*r**2 as l*r**4 + n*r**3 + b*r**2 + j*r + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5765 - -5678 - (-3 + 0).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcucuucuucuuccuuuu. What is prob of picking 2 c and 1 u?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 0*y**2 + 3*y + y + 5*y**2. Suppose 0 = -5*n - 11 - 14. What is the units digit of w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0*z**2 + z + 0 - 1\/4*z**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - 4*y**2 + 6*y**2)*(0*y**2 + 3*y**2 - y**2) - 3*y**4 + 0*y**4 + 7*y**4 in the form d*y**2 + n*y + k*y**4 + h*y**3 + w and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 310055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.6 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 60*d + 9750. Does 75 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 86*l - 4. Let i be y(6). Suppose k + 3*k - i = 0. Let n = -34 + 50. Calculate the greatest common divisor of k and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12051 (base 6) to base 3\nAnswer: 2102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259486621 is divided by 64.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 8\/21*b**3 - 11\/14*b**4 + 18\/35*b**5 - 35 + 3\/14*b**2 - 2\/7*b - 5\/42*b**6. Factor q(y).\nAnswer: -(y - 1)**4*(5*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4673839, 4673838, 4673837, 4673836, 4673835, 4673834?\n\"Answer: -h + 4673840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85474432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r. Let h(p) = -9408*p**2. Calculate h(c(x)).\nAnswer: -762048*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 4, s: 1, x: 1, o: 6, f: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*g**2*v**4 - 4*g**2*v - 113*g**2 - 1691*g*v**4 + 359*g - 2 wrt v?\nAnswer: -2160*g**2*v**2 - 20292*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5. Let c be q(0). Suppose -c*f + f = 0. Suppose 16*l - 21*l = f. Solve 3*n - 3*b - 3 = -l*n, n = 2*b + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12518 or 12309?\nAnswer: 12518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 - -5.38. Let v = -43 + 41. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a factor of 622804702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 2211120010022?\nAnswer: -2211120011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88373.03 weeks to seconds.\nAnswer: 53448008544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2553019*-7.\nAnswer: -17871133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -515*u - 22622. Determine w(-44).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 466760 or 466761?\nAnswer: 466761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366, 3, 12, -2, -1, 4, -3 in decreasing order.\nAnswer: 12, 4, 3, -1, -2, -3, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g + g + 10*g**4 - 3*g wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 28 = -5*z, 5*q + 3*z + 0 - 2 = 0. What is the hundreds digit of ((-283)\/q)\/((-3)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 6720.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viviiiiiiiiv. Give prob of sequence ii.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-12) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3727704 divided by -381?\nAnswer: 9784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*a**3*j*x - 2*a**3*x**2 + 12*a**2*x**3 - 9*a*j*x**2 + 8*j*x wrt x.\nAnswer: -4*a**3 + 72*a**2*x - 18*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**3 - k**2 - 2*k - 2. Let z be (-63)\/(-15) - (-8)\/10. Let q(w) = 9*w**3 + 3*w**2 + 4*w + 5. Calculate z*l(o) + 2*q(o).\nAnswer: -2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95.52 - 92. Let n = -12.72 + 13. Let q = n + t. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/3 - 51*c**2\/2 - 35*c - 1. Let h be u(28). Let k(j) = j**2 - 4*j + 3. What is k(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 0 + d - 6. Suppose 0 = 6*p - 4*p + 8. Give w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744561 at least as big as 3744561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 11*o**2 + 13*o + 13. Let h be (117\/(-52))\/((-6)\/(-16)). Let g(w) = w**3 - 5*w**2 + 6*w + 6. What is h*b(y) + 13*g(y)?\nAnswer: -5*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 10. Suppose -90 + 36 = -4*y - d*a, -a = 3. Let k(g) = 2*g**2 + 2. Let p be k(-1). Solve -u = p*x - 3 + 18, y = -5*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (499*b + 88 - 161 + 73)*(7 + 13 - 21).\nAnswer: -499*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 0.5, -1, -19, -5, 175 in increasing order.\nAnswer: -19, -5, -1, 0.5, 3, 12, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/50 - 8\/(-10))*-31 - (333 + -339)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + -57. Let c = -59 - q. Is c > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102760499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 33 = 3*q, 5*q - 5 = 0. What is the units digit of (h\/9)\/1*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:51 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-7)\/(-3))\/((-2)\/15). Sort -3, 3, -4, v in decreasing order.\nAnswer: v, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/9)\/(-1)*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 44.1. Which is the nearest to -1? (a) 0.2 (b) -1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + d + 100 = 0, -d + 120 = 4*q - 5*d. What is the remainder when 138 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 26, -0.02, 29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2010065 - 0.408218.\nAnswer: -0.6092245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + v + 167 = 6*v, 0 = 2*k - 2*v - 106. Suppose -5*r = -r - k. Is 178\/6 - (-4)\/r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48395807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/4 + 675*g**3\/4 - 38961*g**2\/4 + 110889*g\/4 = 0. What is g?\nAnswer: 0, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1193, -2343, -3477, -4595, -5697?\n\"Answer: 8*q**2 - 1174*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 235028.09031 to the nearest integer.\nAnswer: 235028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -90 (b) 1 (c) -340 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*3\/18*-10. Suppose 2*u + 127 + 3 = z*o, 0 = -4*u - 3*o - 286. Let c = 101 + u. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -15*t**4 + 22059*t**3 + 230985*t**2 + 75621*t - 133290 = 0.\nAnswer: -10, -1, 3\/5, 1481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/13, -2\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-2) + (-130 - (-197 - -77)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003028 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-19) + (-8125)\/(-247))\/(-3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10330240 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-72)\/(1*-4))\/2. Suppose -20 = -y*r + 8*r. Suppose 0 = 3*m - r - 16. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3852752 + 3?\nAnswer: 3852755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-180) + (-35)\/15. Sort -6.2, z, 36.\nAnswer: -6.2, z, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {m: 7, w: 4, z: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v**2 + 2*v + 7. Let n be d(0). Let o be ((2 - n) + 2)\/((-6)\/4). Find the third derivative of -2*t**2 - 24*t**6 - 2*t**6 - 3*t**o wrt t.\nAnswer: -3120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*j**2 - j**2 + j**2 + 5*j**3 + 3 wrt j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 6*f - 5*f - f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.373 and -11.\nAnswer: -4.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1719397, -6877529, -15474393, -27509971, -42984245, -61897197, -84248809, -110039063?\nAnswer: -139267941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1724 * -5.\nAnswer: 10.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 1, s: 9, c: 1, b: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 + 69*x**4 + 570*x**3 + 2040*x**2 + 3072*x + 1536 = 0.\nAnswer: -8, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 4*t - 1400 = -7351. Which is smaller: t or 542?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w = 3*o + 31*w + 14, 0 = -5*o + 3*w - 36 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 229 + 89. Let c = 10 + 1. Solve 1 = -w*d + c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + q**2 - q - 1. Let a be d(-1). Let l be (-10)\/3 - a\/6. Let k(x) be the first derivative of x**3\/3 + 2*x**2 - 43. What is k(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 485 and -519?\nAnswer: -251715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 384889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**6\/5 - k**5\/5 + k**4\/2 + 2*k**3\/3 + 2*k - 1. Let c(o) be the first derivative of h(o). Factor c(z).\nAnswer: -2*z*(z - 1)*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4423 + 3682. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)*u)**34\/(u**(-34))**(-20) assuming u is positive.\nAnswer: u**(-1258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2457? (a) 3\/5 (b) -5 (c) 0.5 (d) -4\/17 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.016 and -20.789573.\nAnswer: 0.332633168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6) + 2 - (-160)\/48. Solve -l + 0*l + 8 = -v*f, l + 3*f = -13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) - (sqrt(27) + -4)**2.\nAnswer: -43 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -a + a. Let g = 10 + -6. Solve g*h + 20 = -a*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -112, -116, -130, -160, -212, -292, -406, -560?\n\"Answer: -b**3 + b**2 - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - z**4 + 2*z**4 + (21*z - 60*z - 20*z)*(-z**3 - 4*z**2 + 4*z**2).\nAnswer: 63*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11*v = -20. Let f(p) = p**2 - p + 11*p**2 + 3*p**v + 16 - 16*p**2. Give f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83459 divided by 25\nAnswer: 83459\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-134307\nAnswer: -13430.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.81662 decades?\nAnswer: 937.9944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let q be w(1). Let a = 5 - q. Let z be 3*(-1)\/4*-88. What is the highest common factor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2709044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 4. Find the second derivative of d**3 - 2*d**3 + c*d + 0*d wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10710749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 103*p - 17. Let v be z(-4). Let y be (4\/(-6))\/((-26)\/v). Let k(h) = -4*h + 0*h - 5*h - 1. Let o(i) = -17*i - 2. Determine y*k(b) + 6*o(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2477361781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/360 + c**4\/24 + c**3\/4 - 9*c**2. Factor b(j).\nAnswer: (j + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.82 + 15.1. Let v = l + -1.35. Which is greater: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o - 261. Let x(j) = -j + 37. Let f(l) = -2*d(l) - 15*x(l). What is the first derivative of f(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/239)\/((-12)\/2). Solve -x + 5*r - 19 = n, 14 = -0*x - 2*x + 4*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32060 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**6\/15 - q**5\/10 + 2*q**4\/3 + 4*q**3\/3 - 10*q. What is z in u(z) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -584.3 + 3085.3. Let s = b - 2502.551. Let k = s - -1.64. What is k rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -46*d + 41*d. Let w be ((-5)\/10)\/(d\/16). Which is greater: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113824550 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 + m**2 + 10. Let k(f) = 5*f**3 + f**2 + 19. Give 4*k(h) - 7*t(h).\nAnswer: -h**3 - 3*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let y be g(-3). Let l(f) = -2 - 3*f + y + 2*f. Let w(i) = -10*i - 2. Calculate 8*l(u) - w(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqj when three letters picked without replacement from {k: 1, j: 1, q: 5, h: 1, u: 3}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -42, -82, -142, -228, -346, -502, -702?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 10*m + 8. Let s be g(-10). Let x be (-4)\/s*-2*58. Let o = 138 + x. What is the greatest common factor of 28 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 240 = -920. Suppose 4 = 9*q - i. Solve h = -h + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13743995.\nAnswer: 5, 23, 119513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 160\/52)*-2. Let d = -4 - -1. Put 5, q, d in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 89, 99, 95, 77, 45, -1?\n\"Answer: -7*r**2 + 45*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3029?\nAnswer: 18174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - (3 - 37 - -38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let r(i) = -2*i**2 - 90*i + 4527. What is r(31)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1068 in ascending order.\nAnswer: -2, 3, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**3*q**3 + 415*h**3*q**2 + 37*h**3 - 9*h**2*q**3 - 25*h*q**3 + h wrt q.\nAnswer: 24*h**3 - 54*h**2 - 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.1210391 to 2 dps.\nAnswer: 13.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5553472 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 7, 3, 41, 5 in descending order.\nAnswer: 41, 7, 5, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1592156 and -1592307 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -4, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/23 and (-2427)\/(-360)*1 - (-10)\/75.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 69.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 9. Let q(c) be the second derivative of -c**3\/6 - 4*c**2 + c. Determine 6*h(o) + 7*q(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8613\/7093 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -454 + 456. Solve 9*y + c*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2732, 2819, 2940, 3095?\n\"Answer: 17*k**2 + 36*k + 2679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/20 - w**4\/6 + 7*w**3\/3 - 5*w**2 + 2. What is the first derivative of r(q) wrt q?\nAnswer: 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 2. Let h be x(8). Let p(z) = -168*z**2 - 9*z - 6. Let b be p(h). Let t = b + 334419\/20. What is the common denominator of t and -93\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**4\/2 - o**3 - 3*o**2\/2 - o - 3. Let c be w(-2). Let f = -29 + c. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5896 - 5.6. Let y = v - 14.2896. Which is the third smallest value? (a) -3\/7 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -260140211?\nAnswer: 260140222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21162, 20429, 19696, 18963?\n\"Answer: -733*d + 21895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/(-196))\/13)\/((-41)\/(-16))*(-14)\/4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 + 70464*d**2 - 212142996*d - 925011504664 = 0.\nAnswer: -2326, 9971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**3 + 7*n. Let b be (3 - (-18)\/(-4))*20\/(-15). Let r(s) = -5*s**3 - 3*s. Determine b*t(i) + 5*r(i).\nAnswer: -5*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*n*t**3*x + 6558419*n*t**3 - 5*n*t*x - 4*n*t - 31*n*x - 3362*n wrt t.\nAnswer: -78*n*t*x + 39350514*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + 6*j + 14. Let w(g) be the third derivative of -g**4\/12 + 83*g**3\/6 - 4*g**2. What is m(w(y))?\nAnswer: -4*y**2 + 332*y - 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 58*x + 15. Let s be c(8). Let t be s - (-1 + 1 - (-2)\/1). Suppose -4*i + t = -4*g + 189, -10 = -2*g. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 + 7*z + 8. Let y be ((12\/(-8))\/3)\/((-1)\/(-12)). What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 13\/5. Let g = -140 + 139.9. Let n = 3 - 5. Which is the nearest to q? (a) -1\/4 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = -9*y + 64. Let o = -68\/5 - -14. Find z, given that -4\/5 + 2\/5*z**y + o*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813014138.\nAnswer: 2, 3, 13, 23243771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -l - 3*l + 10, 2*l = -3*f + 8. Suppose 0 = 5*y + 2*n - 1475, -3*y = -f*n + 5*n - 894. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -u = -1, z*u - 5*u = 4*v - 39. Suppose 0 = -3*l - 0*l + v. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-1)\/3)\/(9\/135). Let t(i) = -i - 13. Let f(y) = 3*y + 27. Let o(k) = -2*f(k) - 5*t(k). Let u be o(z). Solve -4*s - 10 = -d, u*d - d - 12 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -204267*j + 204269. Determine b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115624 is divided by 89?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/9 + 2848*t**3\/9 - 69190*t**2 + 3532716*t = 0.\nAnswer: -1622, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*l = -11272273 - 10248401. What is l rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2999946264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3104 and -35\/64?\nAnswer: 6208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/25)*a**9)\/((a*a**(-3)*a*a)\/a**7) assuming a is positive.\nAnswer: a**(402\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - 2*m**5 + 4*m**5 + 2*m**5 + 0*m**4 + 0*m**4 + (m - m - 2*m**4)*(m - m - 2*m) + 3*m**5 + 3*m**5 - 5*m**5 + 11*m**5 + 69*m**5 - 13*m**5.\nAnswer: 75*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 - 111. Suppose 11 = -5*c - 154. Let a be c\/55 + (-306)\/(-10). Calculate the greatest common factor of x and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 + 6*y - 25. Let z be g(-9). Suppose -z*w = 2*k - 4*w - 1218, 2*w = k - 606. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + i + 3*i = -11, 2*u - 5*i = 31. Let g = u + 0. Suppose 5*l = -3*y + 103, 9 = g*l - y - 64. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 6. Suppose 8*g - 5 = 259. Suppose u + g = -3*u + 5*l, 3*u = 4*l - 25. Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 3, o: 4, p: 1, h: 6, f: 1}. What is prob of picking 1 h, 1 o, and 1 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x + 2 - 10*x - 30*x**3 - 9*x + x**4 to the form v*x**4 + n*x**2 + c*x + l*x**3 + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 233069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 15 - 17. Let p = -2148.5 - -2148. Put m, -6, p, 0.5 in decreasing order.\nAnswer: 0.5, p, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 28 + 3 + 10 - 1011*y + 8 to the form g*y + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 3*x**3 - 15*x**2 + 5*x - 45. Calculate the remainder when 111 is divided by c(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11479, 94\/7, -3\/5 in increasing order.\nAnswer: -11479, -3\/5, 94\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1052574?\nAnswer: -421029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 14772 - 8*v + v + 12*v.\nAnswer: -2*v - 14772","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*h + 39 = 5*w, -h + 27 = 3*w. Suppose -6*d + w*d = 4. Solve 3*l + 5*o - 6 = -d, 2*o - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32248, -64498, -96748?\n\"Answer: -32250*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 895*d - 1393 + 682 + 709 to u + b*d**2 + n*d and give n.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 4*h**3 - 2*h**3 - 2*h**3 + 0*h**3 + h**3 - 3*h**3 + 5*h - 5*h + (0 - h + 0)*(-4*h**2 + h**2 + 5*h**2) + 0*h - 2*h**3 + 0*h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 697019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 312911*j + 6*j**3 + 3*j**3 - 10*j**3.\nAnswer: -j**3 - j**2 + 312911*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 + 0 - 0). Suppose 3*q - 17 + 2 = 0. Solve 2*k + 4*t = 14, q*k - 7 = c*t - 6*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -1) + (182\/13)\/14. Which is the third biggest value? (a) -5 (b) -8 (c) 2\/15 (d) -0.2 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 83 - 215 = 0. Suppose 3*o - 7*o = a. Let f(p) = p**2 + 11*p + 3. Let x be f(o). Solve -x*q = q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*r - 645*r = 16 - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 2. Let u = -108 + 117. What is y(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (590\/354)\/((-40)\/192)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23580 and 36?\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -3 (c) 2\/17 (d) 415 (e) 6 (f) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -11. Let o = 11 - 11. Let a = -2 + 4. Solve q = n + y*q + 2, a*n - q - 11 = o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-3) + 13 + -6. Let q be (n\/(-4))\/((-1541)\/536). Which is the third biggest value? (a) -1\/9 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - 2) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, 8, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-42726504\nAnswer: 42726504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-21)\/6 - -2). Solve -q*d = 5*k + 23, 0 = -3*d - 2*d - 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 7. Suppose 0 = -3*o + 3*k + 6, -o + 12 = -2*k + 3*k. Let w = 0 - o. Let n be u(w). Let y(z) = z - 3. Determine y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.1 - -1.9. Let y = k + -12. Which is the nearest to y? (a) 5 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20.68. Let x = 3.68 + w. Let o = 3.92 - x. What is the third biggest value in -0.2, o, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -37924*g - 13. What is u(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 662489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let x = -0.03 + -0.37. Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13 + 0*x + 5 + 2*x as n + d*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 1158870*l + 3476655.\nAnswer: -5*(l - 3)*(l + 231777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*n + 23*n + 10 + 7 - 19 - 39*n in the form c*n + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20*d**2 - 4*d - 3. What is s(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 19*l + 20. Let d be h(-16). Let v = d - -42. Suppose -3*i = -2*i - v. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-4)*(-20)\/175)\/((-20)\/(-828)). Which is greater: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 - 9*q - 6. Let d = 749 + -721. Calculate the remainder when d is divided by r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -42. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771022?\nAnswer: 2, 7, 55073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 0.15355, -48?\nAnswer: 0.15355","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (3*sqrt(52) + sqrt(52))\/sqrt(4)).\nAnswer: -3*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 1431 + 1019 = 0. Let k = b + -96. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180) - sqrt(180)*-2) + sqrt(180))\/(sqrt(50)\/(sqrt(10)\/sqrt(2))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14891290 - -14?\nAnswer: -14891276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 9*x**2 - 8*x - 13. Calculate b(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 2. Let j be k(-1). Suppose -10*a + j*a = -16. Suppose 0*d + d + 5 = -a*n, -14 = -4*d + n. Solve 2*h + d = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3)\/(-3)) + (-13)\/39?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m. Let b be p(5). Let z = b + 15. Differentiate 1 + v**3 + 8 + v**3 - z wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*l + 536 wrt l.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 7 = 3*b. Suppose 74*l - 3*l - 954 = -31. Let w(v) = -v + 5. Let i(n) = 2*n - 11. Calculate b*i(a) + l*w(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5*h = -7*b - 34 + 11, 4*h + 15 = 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1353\/693 - (-10)\/(-6). Which is the closest to h? (a) -0.3 (b) 1\/2 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -3*d + 172, -105*w - 3*d = -109*w + 28 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 3*b + 1. Let s be x(4). Let d = s - -6. Suppose 0 = 2*v - d*v + 3*f, -5*v - 4*f + 76 = 0. What is the least common multiple of v and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from {j: 2, q: 3, i: 3, o: 5}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + q + 2*x - 20, -3*x + 9 = q. Let l = 64 - 60. Sort 0, q, l in ascending order.\nAnswer: q, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y = 6. Suppose -5*f + 8 = y*s, -2*s = -2*f + s - 12. Let j = 3 - 6. Is f at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:11 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 652914.2?\nAnswer: 652914.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 60420*i. Let x(j) = -16*j + 4. Calculate x(c(k)).\nAnswer: -966720*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -49, -50, -53, -58, -65?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5432517.\nAnswer: 3, 603613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/20 - 7*a**4\/3 - 61*a**3\/6 + 27*a**2\/2 + 30*a - 9. Give k(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 5. Suppose 0 = p*t - 3*t - 16. Suppose 0 = 5*g + t*d - 3*d - 205, -2*g + 82 = -2*d. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46188057 or -46188058?\nAnswer: -46188057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:17 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4540397590?\nAnswer: 2, 5, 103, 4408153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198698\/11661 + -392\/23. Let d = 112\/169 - g. Factor 2\/3*u**5 + d*u + 0 + 0*u**2 + 0*u**4 - 4\/3*u**3.\nAnswer: 2*u*(u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1362510 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) 8 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 - 206004*o + 206006 = 0. Calculate o.\nAnswer: -103003, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 73 = 10*a. Let v(s) = a*s - 12*s + 26 - 2*s + 6*s. Calculate the remainder when 51 is divided by v(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3996 and 6216?\nAnswer: 55944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 132*a - 261. Give r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 986751*w - 30*w**2 + 986751*w in the form s*w + m*w**2 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 2. Let f(c) = 2*c - 4. Let y(p) = -5*a(p) - 2*f(p). Let l(m) = 3*m - 7. Let o(b) = 2*l(b) - 9*y(b). What is the derivative of o(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351816880.\nAnswer: 2, 5, 457, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**2 - 5*l - 932. Let y(a) = 11*a**2 + 6*a + 954. What is -5*f(b) - 4*y(b)?\nAnswer: 6*b**2 + b + 844","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 6. Let o be x(-7). Let b = 1.929 + 0.071. What is the closest to b in 0.5, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -100100111110?\nAnswer: -100101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 3\/4, 0.04, -14, 0.02, 8, 11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q + 40. Let a be o(-25). List the prime factors of a\/(-3*(4 - (-11)\/(-3))).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(35\/(-156)))\/(-32 - (-80)\/(-1000)*-405).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*a + 319*a - 46139 = -9809 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/4 - -11\/8. Let k(c) be the second derivative of 1\/80*c**5 - 1\/8*c**2 + 0 + q*c**3 + 2*c - 1\/16*c**4. Determine a, given that k(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 1:59 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tittdddattd. Give prob of sequence id.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - (-19)\/(-7). Let v = -11 - -7. Is v at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (0 + -2)) + (-2714 - -2754)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 25. Suppose -4*n = -u*r + 26, -2*n + 6 - 4 = 5*r. Suppose -3*t + 5*p = t + 1, 3*t + r*p - 5 = 0. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5921017*a**2\/5 + 23684062*a\/5 - 24\/5 = 0. What is a?\nAnswer: -4, 6\/5921017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154 = -3*v - 2169 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -1\/7 (c) 2075 (d) -2\/5 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6410005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121102100210 (base 3) to base 2.\nAnswer: -1001110111010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 10. Suppose -21 = 4*a - 7*a. What is the remainder when z(a) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**4*l\/l**(-1\/8)*(l\/(l*(l\/(l**(-4\/3)*l))\/l))\/l*l\/l**(-6)*((l*l*(l**(-6)*l)\/l*l*l)\/(l**5\/l))\/((l\/(l*l**(-3\/5)))\/l**(4\/9)) assuming l is positive.\nAnswer: l**(2029\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.0457, 0.5, 0.35, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 + (-5)\/(-3). Let b be (8\/24)\/(n\/6). Suppose 5 = b*h + 1. Which is smaller: h or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/2 + 57*g**2\/2 - 40*g + 44. Differentiate c(q) with respect to q.\nAnswer: 6*q**2 + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*h - 24 = 0, -30 = -5*y - h + 3*h for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354949.9 rounded to the nearest 1000?\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5954 and 506?\nAnswer: 1506362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520*m**3 + 123543*m**2 - 190553579*m - 1?\nAnswer: 3120*m + 247086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a17362 (base 12) to base 15.\nAnswer: 73bd62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 4:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63\/2? (a) 2 (b) -5 (c) 6 (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 742 + -2179\/3. Let u be (5\/24)\/(1\/(-734)). Let n = -392\/3 - u. Calculate the common denominator of a and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 q when three letters picked without replacement from {x: 2, q: 2, o: 3, u: 4, r: 2}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 15. Let t be h(0). Solve 13*x + 4 = t*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8740650 (base 9) to base 10.\nAnswer: -4691646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 13. Find the second derivative of -15*x + x**g - 13*x**3 - 9*x**3 + 2*x wrt x.\nAnswer: -126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3\/3 + 5*r**2\/2 + 5*r - 17. Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let c = -13 - -17. Let z be i(c). Let 14\/11*l + 4\/11*l**3 - 4\/11*l**4 + 16\/11*l**2 - 2\/11*l**z + 4\/11 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 7. Let w(g) = g**2 - 12*g + 16. Let m be w(10). Let k be o(m). Suppose k*j = 578 - 194. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 1. Let n(w) = -3*w**3 + 20*w**2 - 3*w + 1. Determine n(p) + y(p).\nAnswer: -3*p**3 + 20*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-95)\/38)\/(1\/(-2)). Suppose d + 5 = 5*i - 17, 5*i - 30 = w*d. Is 3 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 20)*1\/(-3). Let o = 5 - 4. Let r = 16450\/29 + -49321\/87. Which is the closest to r? (a) 2\/9 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**3 + 2*q**2 - 1. Let w be r(1). Let z be 10 - 4\/(-6 - (w - -3)). Suppose -8 = -5*f + z. Solve -j + 22 = 4*n, 3*j = -f*n + 12 + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236 + -236.0119. What is u rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 64. Let a = m + -42. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3*w + 0)*(-1 + 1 + 2) + (1 - 1 - w)*(2 + 2 - 2))*(w - w - w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - 8\/(-2). Let y be (-100)\/(-450) + 10*5\/(-9) + 6. Which is the closest to y? (a) -0.1 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 6*f - 68 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*f = -5*f - 9, 2*b + 5*f + 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11 + 7*g - 19 - 957*g**2 + 958*g**2. Let m be c(-10). Find u, given that m - 2\/11*u**4 + 0*u + 0*u**2 - 2\/11*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (37 - 33)) + 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -320*x + 1. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + (-1 - ((-7 - 25) + 19) - -50)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - 4*q, 0 = 7*q - 3*q. Suppose -2*n = -0*n + l*f - 24, -5*n - f = -42. Solve 5*s - n = -3*c, -3*s + 8*s = -c + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*g - 700. Suppose 58 = 24*h - 195 + 85. Let v = g + h. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 2:25 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let v = 0.076 + 0.324. Which is the nearest to l? (a) v (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + -21 + 7 + 12 + 1 + -2\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cde + -78?\nAnswer: c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 16\/4 - (-7)\/1. Suppose -42 = -s - k*g, -s + 3*g - 105 = -3*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*m - 446 = -66*m - 11250. Is 956\/13 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*11*22\/(-968)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215.581m in nanometers?\nAnswer: 3215581000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 16*i**2 - 178*i - 2847. Calculate y(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 - 11*s - 6. Let t be z(-8). Suppose 4*h - t = -6. Let x(c) = -c + c + 3*c - c**h - 4*c - 1. Calculate x(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513857?\nAnswer: 317, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15222879 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:22 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2277\/108 - (-250)\/(-3000).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 17. Let t be d(-9). Solve -2*a = -4*g + t, -3*a - 5*g + 10 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-180) - (-2)\/(-8). Let i = 7 - 4. Sort -2, i, b in ascending order.\nAnswer: -2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**3 + 37194*n**2 - 74397*n\/4 + 2325.\nAnswer: 3*(n + 3100)*(4*n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1014*v - 104. Let q(u) = 29*u + 3. Give 104*q(j) + 3*z(j).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3876*x = 5035*x + 19703 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 146*m + 214888. Give v(396).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26995580732 from 0.17.\nAnswer: -26995580731.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -249 + -46399?\nAnswer: -46648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*q - 42*q + 159*q**3 + 49*q**3)*(2 - q**2 - 2).\nAnswer: -208*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-45)*v**(-35)\/v**(-3))**(-50) assuming v is positive.\nAnswer: v**(-2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*(2*(-4)\/(-4))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -145363707 rounded to the nearest one hundred thousand?\nAnswer: -145400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 13*w**2\/6 - 42251*w\/6 - 48855 = 0?\nAnswer: -90\/13, 3257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -5*t**4\/4 - t**3\/2 + 5*t**2\/2 + 1440*t - 3. Calculate u(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 49*g**4\/4 + 7*g**3\/3 - 20*g**2 - 16*g + 50. Let i(s) = 0. Calculate s.\nAnswer: -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(366\/610*75\/(-18)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.872 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2076*j + 664400. Calculate n(-320).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5 + 2132*j**4 + 34660*j**3 - 38920*j**2 - 34658*j + 36788 = 0.\nAnswer: -17, -1, 1, 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, -9, 2.\nAnswer: -9, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -40.5. Suppose 4*r - 6 = 2. What is the second biggest value in d, -5, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 7*b - 20. Let f = b - -58. Is 27 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 1. Let j be k(-1). Suppose 4 = -2*d + 4*b, 3*d + 33 = j*b + 11. Let y be (36\/d)\/((-3)\/90). Calculate the highest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 2*x**3 + 3*x**2 - 8*x + 1913. Give k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.1 - -23.1. Let h = 88.95 + -87. Let o = -0.05 - h. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 7. Let a(u) = -u**2 + 6*u + 2. Suppose 7 = -h - 12. Let y = -12 - h. Let k be a(y). Let c(x) = x + 1. Give k*c(b) - r(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1754, 1759, 1774, 1805, 1858, 1939, 2054?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -158, -238, -318, -398, -478?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060170968 rounded to 7 dps?\nAnswer: 0.0006017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 740 = 5*l. Do 108 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8685, -1\/6, -543?\nAnswer: -543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.74 and -3?\nAnswer: 14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/455037 and 38\/165?\nAnswer: 2275185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 12. Calculate the highest common factor of 90 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414*c**3*f*i**2 - 2*c**3*f*i + c**3*f + 221*c**3*i + 4*c**2*i**2 + 2*c**2*i + c*f + 1540*c*i**2 + 5*c + 75 wrt i?\nAnswer: -828*c**3*f + 8*c**2 + 3080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215676?\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170046 and 36017190?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -248361, 122, -1 in descending order.\nAnswer: 122, -1, -248361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 4*s + 22, -3*k = -s + 48 - 53 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423378, -1693613, -3810722, -6774699, -10585538, -15243233?\nAnswer: -20747778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 116, 98, 62, 2, -88?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/24 - 7*x**2 + 3. Let n(k) = 76*k. Give n(w(b)).\nAnswer: 76*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2898742*r - 96 = -2898718*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + (sqrt(204) - 4*(-2*sqrt(204) - sqrt(204)))))\/(sqrt(1296)\/sqrt(3)).\nAnswer: -13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40929682, 40929680, 40929678?\nAnswer: 40929676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -140. Solve 7*o + 11*o + 77 - 5*o**2 - r = 0 for o.\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q - q + 2*q**2 + 4*q**2 - 5*q**2 - 1 + 2*q**2 + 1 + q**2 + q**2 + 0*q**2 + (4*q + q - 3*q)*(-1 + q + 1) - 4*q**2 + 4*q**2 + q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -44683?\nAnswer: -44675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407 divided by -7?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 115*d**2 - 398*d + 11. Let q be j(7). Calculate the greatest common factor of q and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 5*b**2 + b**3 + 0*b**2 - 2 + 0*b**3 - 2*b in the form q*b**2 + o*b**3 + j*b + w and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -151, -6 in decreasing order.\nAnswer: 1, -4, -6, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -49, -54, -45, -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(300)\/sqrt(45))\/sqrt(12).\nAnswer: -4 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37\/3 in 4, 2\/3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337 - 69 = 57*n + 4*c, 2 = -n + c - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22451 and 9?\nAnswer: 202059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7261*z - 47434 = 105047 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2033?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2 + 50 = 0. Suppose 9*x - 3*g = r*x + 149, 3*g = -6. Let z be (-4)\/10 - (-201)\/15. Calculate the highest common divisor of z and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6193.82553 - -783.\nAnswer: -5410.82553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, o: 1, a: 1, n: 4, r: 3}. Give prob of sequence arun.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/12 + 439*r**4\/4 - 68495*r**3\/2 + 703150*r**2\/3 = 0.\nAnswer: 0, 7, 490, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**2\/5 + 15621*p\/5 - 168564\/5.\nAnswer: -3*(p - 11)*(9*p - 5108)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 + 18*t**2 - 8*t**2 + 2*t**2. Let l(k) = 6*k. Calculate l(y(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g*(g*g\/g**1*g)\/g*g)\/g*g*g))**19)**(1\/5)*(g*g**(-2)*g**(-3))\/(((g**(-3)\/g)\/g)\/g**(-4)) assuming g is positive.\nAnswer: g**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.092 - -16.782. What is t rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16471 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Suppose -6*a + 20893 - 2593 = x. Suppose -4*i + a = -1602. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (11 - 27 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17351622 to the power of 1\/2, to the nearest integer?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t\/t**(1\/2)*t*t)\/t)\/t)**(9\/5)*(t**(-1)\/t)**(1\/24)*t**(-3\/5)\/t*t*t*t\/t**(2\/17)*t**(-2)\/t**(4\/5) assuming t is positive.\nAnswer: t**(4793\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 119 = 211. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232 - -249 - 547\/32)\/(3\/2).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4565 and 3135.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/5 + 11\/15. Let w = -5126.6 + 5127. Let b be 2\/10 + (-39)\/45. Put f, b, w, -1 in ascending order.\nAnswer: -1, b, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 97?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 6}. Give prob of sequence xo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z = 236*z - 9*z - 7368 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -9213.94 + 9214. Let p(q) = -q**3 - 4*q**2 - 4*q + 4. Let w be p(-5). Which is the third biggest value? (a) d (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j*m*p**2 + 33*j*m*p - 257*j*m + 3072*m*p - 32*m - 4 wrt p?\nAnswer: 4*j*m*p + 33*j*m + 3072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110428264 rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**2 + 39*y**2 + 19*y**2 + 38*y**2 + (-5*y**2 + 2*y**2 + 0*y**2)*(1 - 4 + 5) to x*y + c + j*y**2 and give j.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 95. Let u be (3\/15)\/(28\/10780). What is the greatest common factor of u and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/91 - (-16)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzq when three letters picked without replacement from zbzbqzbqqw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 4*w - 2*w**2 + (-1753*w + 1753*w - 165*w**2)*(9 + 24 - 8) to the form p + d*w**2 + r*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6736 is divided by 2239.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 16 - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -338*s + 121*s - 753*s in the form j*s + b and give j.\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:46 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-24 - -15) + (9 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1542 and 771?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81588183?\nAnswer: 3, 163, 166847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**4 - 347*t**3 - 159 wrt t?\nAnswer: 8*t**3 - 1041*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 6*f**2 - f + 4. Give h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1678217198 to the nearest integer?\nAnswer: 40966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -153614305?\nAnswer: 153614311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372362043?\nAnswer: 3, 37, 3354613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 = -m. Suppose m*i = 10 + 35. Solve -5*k + 15 = 0, -i = 2*j + j - 5*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/12 + i. Let g(c) be the second derivative of 2*c**4\/3 - 296*c. What is g(h(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 1957*g + 1958*g - 49396, -3*g + 49398 = 3*v. Round v to the nearest 100.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-27)\/54)\/((-2)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*l - 24, 0 = -3*g - 4*l + 12 - 30. Let w be ((-45)\/g)\/(2\/4). Suppose -3*m = -w, 0 = 2*b - 3*m - 20 + 1. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795, 761, 717, 657, 575, 465?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 652761 and 1261053.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 0.1 (c) 1\/21 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 1, g: 2, f: 5, p: 2, h: 7}. What is prob of picking 2 f and 1 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7505771 and 294?\nAnswer: 45034626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, 0.17, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.0226825.\nAnswer: 0.000680475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {c: 5, v: 4, u: 1, z: 5, q: 2, b: 3}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 32573026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**3\/6 + f**2 - 4*f. What is d(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4 + 1532*z**3 - 10920*z**2 = 0.\nAnswer: -390, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 330 + 5716*a + 6118*a + 145.\nAnswer: 11834*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -53*v + 883. Is a(0) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/37)\/(p\/((p\/(p**(-26)\/p))\/p*p)))\/(p**(-2\/35)*p**(-2\/105)))**(-2\/37) assuming p is positive.\nAnswer: p**(-211012\/143745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472190530?\nAnswer: 2, 5, 7, 6745579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 - (-1 + 1)). Differentiate 3 - b**2 - 1 + 0 + j*b**2 wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 + 122 - 278)*(-y**4 - 3*y + 3*y).\nAnswer: 269*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4127982033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 * 0.24\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*l - a - 1 = 260*l, -5*a = 2*l - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80\/(-20) - -31*1 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 10*y - 13. Determine j(15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 12. Determine a(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 1806015?\nAnswer: 12642105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12233436 (base 7) to base 11.\nAnswer: -692148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 13*z**2 + 2827*z**3 - 2826*z**3 - 158 + 157. Calculate s(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 3*d**2 - 2*d + 4. Suppose 0 = -k + 5*k - 4, -5*i + 5*k = -10. Let n(u) = -2 + 3 - 11*u + 10*u - u**i + u**2. What is -6*n(f) + 2*z(f)?\nAnswer: 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 4. Let p(v) = v**2 - v + 5. Let q(d) = -4*k(d) + 3*p(d). Let x be q(-1). Does 11 divide 270\/24 + x\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*u - 38. Suppose -u*v - 434 = -m - 7*v, -2*m + v = -824. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332121131 (base 4) to base 8.\nAnswer: 1763135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12203 (base 4) to base 5\nAnswer: -3134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 - 104*p**2 - 1274*p + 1380 = 0. Calculate p.\nAnswer: -30, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 350352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16.47 + 83844509\nAnswer: 83844492.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 310\/(-15) - 1\/3. Let n be (-4)\/(-10)*(-14 - 1). What is the tens digit of -28*(3 - s\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 848*o**2 - 9*o - 20. Suppose -4*p + t = 6*t + 27, 4*p = t - 9. Is z(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*(-126)\/(-4). Suppose r*s = 16*s + 325. Let d = s + -14. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/200 - l**4\/60 + l**3\/60 + l**2\/10 - 18*l. Determine m, given that q(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/((-10)\/((-2380)\/(-51)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**5 - 2*y**5 + 3*y**5)*((1 + 0 - 3)*(-2 + 0 + 4) + 1 + 2 - 2) + y**5 - y**5 + 2*y**5.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9934 is divided by 1044.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020800 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1046 - -1040.066. Let u = v + -0.066. Which is the biggest value? (a) -2\/17 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*q - 93*q**2 + 27*q - 14*q**2 + 10*q**2 - 83*q**2 wrt q.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 - -249. Calculate the highest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -8. Let h(u) = -6*u - 11. Let y be h(x). Suppose -y = 4*s - 897. What are the prime factors of s?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 5168*i**3 + 9892576*i**2 - 8308903680*i + 2584892217600.\nAnswer: (i - 1540)**2*(i - 1044)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 y, and 1 x when four letters picked without replacement from {j: 2, u: 1, y: 9, x: 1}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(0 + 16\/10). What is the common denominator of 2\/(-6) - 566\/b and ((-87)\/(-9))\/((-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r - 5*l, -2*r = 3*l - 2 - 19. What is the third derivative of -3 - p**2 + r + 5*p**2 + 4*p**4 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d (base 14) to base 12.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319 - 166 - 931*m - 153 to a*m + f and give a.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12788 and 181615176.\nAnswer: 181615176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -1\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 17*o + 27. Is o\/((-81)\/2) + (-6059)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t. Let z(l) be the third derivative of l**6\/360 + 13*l**4\/24 + 12*l**2. Let f(y) be the second derivative of z(y). Give s(f(b)).\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 3*y**2 + y**2 + (-3*y + y - y)*((y - 2*y - y)*(-1 + 2 + 0) - 17*y + 0*y - 4*y).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - h**2 + h**2 + (-4*h + h + 4*h)*(3*h + 0*h - 2*h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*t - 171614 - 104128 - 756681 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 43 = 4*p, 0*p = 4*s + 2*p - 244. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*h. Let b be (h - -1)*0 - -12. Suppose -5*u = -10, -5*j + 658 = -40*u + 39*u. What is the highest common divisor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8195 and 21\/903685.\nAnswer: 9940535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003402376186 to 7 decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13355097 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.003, 0.16, -11, 0.4.\nAnswer: -11, 0.003, 0.16, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2.169.\nAnswer: -0.6507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 113\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1890 + -1380. What are the prime factors of o?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 435599974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 12 = -96 - 292 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(0*h**2 + 0*h**2 - 2*h**3) - h**3 + 2*h**2 - 2*h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 9. Let m = r + 33. What is the closest to m in 1, -0.5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1148500952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 20 - 28 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/567 and 165\/20 - (0 + 14 + -5 + -2).\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -471\/11 + 43. Let z = -3 - -4. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 7)*(-25 + u**2 + 7*u**5 + 25).\nAnswer: 56*u**5 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 take away 3914.016?\nAnswer: -3913.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1350 and -0.5?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93.721 - -99.38. Let u = 5.44 - p. What is u rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - 14.87. Let g = j - -14.999958. Round g to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 135*g - 16*g.\nAnswer: -136*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2402053.7 rounded to the nearest 1000?\nAnswer: -2402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1 + (2 + 2 - 2)*(3 - 7 + 1))*((-r + 0*r + 2*r)*(-5 + 2 + 2) + 4*r + 4 - 7 - r) in the form a*r + u and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7270.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -4*b + 4*h, -4 = -2*b + 3*h. Let a be 6*(6\/9)\/b. Suppose -a*f = -f. Solve 3*i - 9 = -f*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 10, s: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -27*v - 12. Let y(p) = -11*p - 5. Suppose 0 = 8*l - 7*l + 5. Determine l*x(s) + 12*y(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -1214245?\nAnswer: 1214235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -16*s - 776. What are the prime factors of s*1 - (-10)\/15*6?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-105241)\/9500 - (-4 - 7) and -169\/1200.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277251 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 891102, 891111, 891120, 891129, 891138, 891147?\n\"Answer: 9*i + 891093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/350396145 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -667 by -4.\nAnswer: 667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 16. Calculate the remainder when 66 is divided by (-2)\/(-3) + (-35)\/(-15) - d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123041571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**37)**49 assuming b is positive.\nAnswer: b**(3626\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -371 + 378 + y + 2*y + 12*y**2 - 2*y**2. Let d(m) = 5*m**2 + 2*m + 3. Let v(q) = -7*d(q) + 3*f(q). Factor v(x).\nAnswer: -5*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0) + 24 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 + 16*o + 16. Calculate g(-8).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - (-25 - -12)) + -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -2\/13, -0.1455, 3.\nAnswer: -0.2, -2\/13, -0.1455, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51270 - -10?\nAnswer: -51260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7976 greater than or equal to -8096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1206 and 79\/36.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 30. Let k(h) = h**3 - 6*h**2 + 2*h + 3. Let g be k(u). Solve l - g = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -129*s**3 + 89*s**2 - 24*s + 31. Let i(b) = 26*b**3 - 19*b**2 + 5*b - 6. What is -14*i(z) - 3*t(z)?\nAnswer: 23*z**3 - z**2 + 2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, -1\/6, -0.11, 0, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 11*f**2 - 9*f - 5. Let g be r(10). Let t be (-1)\/(((-15)\/12)\/g). Differentiate p**2 + t + 0*p**2 - 1 with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1165000 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/25 - (-3)\/(-5). Let z be (-2)\/12*(-13877 + j). Let k = z - 2291. What is the common denominator of 25\/7 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.5 (b) 1\/10 (c) 0.8 (d) 0.4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45301*b**2*m**3 - 8*b**2*m - b*m**4 + 360*m**2 wrt m.\nAnswer: -271806*b**2 - 24*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2\/2 - 9450*w - 2521305\/2 = 0. Calculate w.\nAnswer: -129, 3909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - (5 + (-5 - 17) + 7).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 329 + 475 = 0. Suppose b - 2*h = 252, 4*b - 8*h - 986 = -11*h. Let q = d - b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -73, -10482 in descending order.\nAnswer: -73, -157, -10482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10519*a + 11506 - 23009 + 11503 as l + f*a and give f.\nAnswer: -10519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 1, y: 1, r: 4, b: 3, j: 4}. Give prob of sequence rrub.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-27) - 508\/(-6).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191494001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 54508514.4 to the nearest one hundred thousand.\nAnswer: 54500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74240 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:27 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3*18156\/136)\/((-270)\/108)*5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 3708?\nAnswer: 318888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 + 832 = 3*i. Calculate the highest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 - 5*y - 3. Let k(a) = -2*a**3 + 5*a**2 + 11*a + 6. Let u(h) = 13*g(h) + 6*k(h). Let n(l) = l**2 - 1. Give 3*n(q) - u(q).\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 69181 - 69181.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 6272.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100488080 by 163130.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 6*m**2 - 4. Let n be a(-3). Let o be (((-6)\/n)\/(-1))\/((-1)\/2). Suppose 0 = -5*v + 2*s + 8, -o = v - 3*v + s. Solve h = -v*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = g. Let w be 16*g*(-38750)\/(-4). What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -49*q**5\/20 + q**4\/12 - q**3\/6 - 3*q**2 - 49*q. Find the second derivative of o(w) wrt w.\nAnswer: -294*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, -3.\nAnswer: -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16808103.2 rounded to the nearest 10000?\nAnswer: -16810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25281576 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z**2)\/((z\/z**(-4\/3))\/z)**(1\/10) assuming z is positive.\nAnswer: z**(166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 19*q - 19*q. Let w(y) = y. Give w(k(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -44545727 divided by 3?\nAnswer: -44545727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8545451554 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1758, 5, -4387, 3, 2 in increasing order.\nAnswer: -4387, -4, -1, 2, 3, 5, 1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63230, -126446, -189660, -252872, -316082?\n\"Answer: r**2 - 63219*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 4, b: 2, k: 1, y: 4, u: 8}. What is prob of sequence qkbb?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 5 + -1 - (-7)\/1. What is the greatest common factor of 33 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*p - 134 = 0, 3*l = 2*l - 5*p + 36. Suppose 12166 + 6996 = l*y. Is y a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - (-3 - -5) - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5514*z - 832609. Calculate a(151).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965*m - 968*m = -6. Solve -d = m*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208727 to the power of 1\/2, to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/sqrt(7) - (sqrt(2)*1 + -2).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 737420983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9508197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 3 - 626*g**4 + 624*g**4 - 2*g + 0 - 3*g**3 as q*g + p*g**2 + w*g**3 + t + l*g**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4300*j - 27877. Determine z(-7).\nAnswer: 2223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/(3\/(-6)). Let v = 7 - f. Let y(u) = -7*u. Let o(l) = -6*l. Give v*o(p) - 5*y(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*p**4 - 60*p**3 + 173*p**2 + p - 45 wrt p.\nAnswer: -1896*p - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -9*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.8266227 - 418150\nAnswer: -418157.8266227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 773*g**4 + 2683?\nAnswer: 3092*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*c - 18 = 0. Suppose c*j = 2*j - 0*j. Find the third derivative of 15*p**2 + j*p**4 - p**4 + p**4 + 19*p**6 wrt p.\nAnswer: 2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -0.3 (c) -1.205 (d) -0.5 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906072.\nAnswer: 2, 7, 101, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-22) - (-1)\/3. Sort 0.5, a, 2\/9 in descending order.\nAnswer: 0.5, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 285*w. Let o(s) = -s**2 + 4. Let g(p) = -p**2 + 7. Let n(a) = 4*g(a) - 7*o(a). Calculate d(n(c)).\nAnswer: 855*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7111\/3 + -2370. Let r = 0.277 + 0.013. Let y = r + -0.3. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28217 + -16895. Suppose -v = -33*c + 25869. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/46 (b) 5 (c) -4 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -3\/7, -3.89 in increasing order.\nAnswer: -3.89, -3\/7, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:39 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 63*x = 13299 - 14187 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78351 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 1, n: 2, y: 2, d: 3, g: 1}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1875*h + 7. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -7*r**3\/3 - 99*r**2 - 183*r - 1. What is t(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1402.\nAnswer: 2\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*u**2 - 186*u**2 - 6*u**3 + 7*u**3 - 6*u**3.\nAnswer: -5*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -19, -1 in decreasing order.\nAnswer: 1, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 90*g = -1344 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 5*a - 17, -a - 2*x + 154 - 141 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/345500850 and -49\/55280136?\nAnswer: 1382003400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -10*j + 15*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0009897 - 1627.4055\nAnswer: -1627.4045103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 501131*b**2. Let s(y) = 36*y. Determine s(q(f)).\nAnswer: 18040716*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18*y**2 + 161*y - 16. Determine v(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-2)\/2)*(-175)\/(-5). Let i = z + 39. Suppose c - 3*u - 143 = 0, -4*c + 5*u - i*u = -627. What are the prime factors of c?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 1. Let m(a) = 2*a. Let v(j) = 5*i(j) - 6*m(j). Let f be v(3). Solve -f*u = 6*l - 4*l + 14, -4*l = -4*u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -969095*r**2 - 129497*r wrt r.\nAnswer: -1938190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7335, -15096, -22855, -30612, -38367?\n\"Answer: g**2 - 7764*g + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 9*a**2 - 20*a + 12.\nAnswer: -(a - 6)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/19)\/(q*q*q\/(q*q**34*q)))\/(q**(-26\/9)*q**(-1)*q))**5 assuming q is positive.\nAnswer: q**(30820\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*a + 3444 - 3444 + (-a - 2*a + a)*(2 + 0 - 1) + a + 0*a + 2*a + 0*a - 2*a + a + (-1 + 4 - 1)*(a - 1 + 1) to l + r*a and give r.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1569 and 0.62.\nAnswer: -1568.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/15 + p**4\/8 + 2*p**3\/3 + p**2. Let b = 9 + -6. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 12) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 36 = -l. Let r = l + -17. What is the second biggest value in r, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27286997 is divided by 1949071.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q + 55. Let z = q - -10. Let k be (z + -2)\/(6\/8). Which is smaller: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119739*b**2*f**3 + b**2*f**2 + 744*b*f + 6*f**3 + 49*f**2 wrt b.\nAnswer: -239478*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1876.7 + -1877. Sort y, 4, 2\/23 in increasing order.\nAnswer: y, 2\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3}. What is prob of sequence hgg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k + s = 6*s + 1499, -3*k - 3*s = -8*k - 292 + 197 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 39*y + 24. What is h(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -9\/10, 233, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1001519372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*448294.\nAnswer: -26897.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1103\/942 - 2\/471. Let z(o) be the second derivative of 3\/5*o**5 + o**2 + o - c*o**3 + 0 - 7\/12*o**4. Determine w so that z(w) = 0.\nAnswer: -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1222318, -1222323, -1222328, -1222333, -1222338?\n\"Answer: -5*m - 1222313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + 3*c + 3. Let x(p) = -2*p**2 + 2*p + 4. Let o(w) = -2*w**2 - 11*w + 133. Let f be o(6). Calculate f*x(h) + 4*k(h).\nAnswer: 2*h**2 + 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 194080, 194079, 194094, 194131, 194196, 194295, 194434?\n\"Answer: v**3 + 2*v**2 - 14*v + 194091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 r when four letters picked without replacement from rerrrrrrrrbbrbrbrrbr.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let w be 8\/3 + (-7)\/(-21). Suppose 0 = -w*y - 8 + 2. Which is the closest to -1\/3? (a) g (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 1\/3*q + 1\/24*q**4 - 1\/12*q**2 - 1\/9*q**3 + 16. Find f such that i(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27283 (base 15) to base 13.\nAnswer: -4513b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 794 - 787.48. Let v = -4.52 + w. What is the nearest to v in 2\/11, 2.4, 0.5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335541299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836035.\nAnswer: 5, 271, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2050*w - 5 - 1045*w + 2016*w.\nAnswer: 3021*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymymyyyyyyyymyyyym. Give prob of sequence mm.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -86*y - 76 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138992139*j**6 + 151977*j**2 + 3*j wrt j.\nAnswer: -16679056680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 33 = 268. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose 0 = u*k + 4*d - 2, -5*d = k - 10 - 0. Let p be 35 - k\/((-5)\/3). Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.05 - -0.2?\nAnswer: 10.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 8. Suppose -3*l + 0 = 15. Suppose -k + 8*v - 3*v + 6 = 0, 2 = -v. Let o be k\/(-2) + l + 3. What is x(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 36, 24, 10, -6, -24?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178478634 to the power of 1\/2, to the nearest integer?\nAnswer: 13360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481259 is divided by 1507.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/4 + 968*n**3\/3 + 801*n**2\/2 + 1307. What is the second derivative of m(a) wrt a?\nAnswer: 6*a + 1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15*8\/216)\/((-4)\/138) and 57\/26 - (-2)\/4?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*t, -17 + 5 = -4*t. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*4\/8 + -1. Let o(y) = 3*y**2 + 2*y - 2. Let b(n) = -7 + n + n**2 + 9*n**2 + 6*n. Give r*b(p) - 7*o(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 - 356531*d**4*n**2 + 9791*d*n**2 - 420*n**2 wrt d?\nAnswer: -40*d**3 - 4278372*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22636180 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16979 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165973291 to the power of 1\/2, to the nearest integer?\nAnswer: 56267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, -15669, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 537 and 442694387?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.039 + 0.15.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let l = -0.3 - 0.2. Let q = -21 - -18. What is the nearest to 0.2 in i, l, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 9*l = -47, -16*x - l = 17*x - 32*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*q - 15, n - 8 = 2*q + 2. Let j = -41 - -43. Let d(b) = b + b - 2*b + 14 + b - b**j. What is d(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3228 + -3223. Let n(j) = -3*j + j + 2 + 2*j**2 + 0*j. Calculate the remainder when n(3) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*c + b + 2728, 2188 = 4*c - 4*b. What is the smallest common multiple of 9 and c?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 0, 2865 = a - 97*w + 98*w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -0.4, 2 in increasing order.\nAnswer: -0.4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-4) - (-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 425 from -1350.\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, and 2 o when four letters picked without replacement from hooyyoygypyhm.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - u - 3. Let m(a) = 35*a**2 - 18*a**2 - 4 + a - 15*a**2 - a. Calculate -4*h(k) + 3*m(k).\nAnswer: -2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230335684.\nAnswer: 2, 57583921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21122434121 - -4?\nAnswer: -21122434113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1587 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + 4 + (-1*(sqrt(832) - (-1 + sqrt(832))) - sqrt(832)))**2 + -1.\nAnswer: 16*sqrt(13) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -280*c - 10017 + 136577. Solve -5 = c*b - 447*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 198. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (3 + 14\/4) - -3. Let m = 4 + -2. Sort m, -12, r in ascending order.\nAnswer: -12, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e9 (base 15) to base 6\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65067810 divided by 2\nAnswer: -32533905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12150 and 47300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/20)\/((9\/28)\/(-9)). Calculate the lowest common multiple of 1\/((-3)\/(-504)*o) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182126855 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7980. Let q(i) = 50*i + 23. Give q(c(n)).\nAnswer: -50*n**2 + 399023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1382742\/11 + -125599. Let b = -105 + n. Let g = -205 - -208. What is the nearest to 0 in b, g, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -103653220 divided by 860\nAnswer: -120527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*w + 15*w**2 - 32*w**2 - 8*w + 29*w**2 - 135 wrt w?\nAnswer: 24*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14604534 is divided by 1622725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 16*f**3 - 14*f**2 - 42*f + 127. What is u(3)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 4*y - w, 0 = 2*y - 0*y - 2*w - 396. What is the greatest common divisor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698.009us in nanoseconds?\nAnswer: 2698009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003628 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1061679016 divided by 4\nAnswer: -265419754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 44*v + 35. What is q(-8)?\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 870\/(-2465)*(-2805)\/45?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, 1 t, and 1 a when four letters picked without replacement from tiatkktotitttt.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8199.214 millilitres in litres?\nAnswer: 8.199214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 2*c**2 + 5*c**3 + 4*c - 4*c**4 - 2 - 4*c**3 as p*c**2 + f*c + d*c**3 + n + i*c**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 95 = -61 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 + 296*i**3 - 454*i**3.\nAnswer: -158*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 4*k**3 + 2*k**3 + (3*k - 2*k**2 - 3*k)*(6 - 6 - 5*k) - k**3 - 4*k**3 - k**3 to z + w*k + u*k**2 + v*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/141334 and 67\/55.\nAnswer: 7773370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -35*o - 28*o + 234. Solve 15 = o*g + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*r + 3, 0 = 3*z + 4*r + 3 - 27. Factor -69\/2*b**2 - 25\/2*b**z - 35*b**3 - 2 - 14*b.\nAnswer: -(b + 1)**2*(5*b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, -3, 5 in increasing order.\nAnswer: -5, -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t. Let q(s) be the third derivative of -197*s**4\/4 - 2*s**2 - 239*s. Give q(i(n)).\nAnswer: 8274*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmcccmmccmmmmcchm. Give prob of picking 1 h and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((1 - 11) + (-549)\/(-61)). Let k(p) = -p. Let z = 1 + -2. Let j(d) = -d + 1. What is u*k(f) + z*j(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.436359832 to 5 dps.\nAnswer: -0.43636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/3 - p**2 - 2*p + 1. Let c be y(2). Suppose -c*i + 7*i - 14 = -q, 0 = -4*i - 5*q + 7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(2 - 2*z**2 - 2) + 2*z**2 - 2*z**2 - 9*z**2)*(-1 - 1 + 5).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/10, -2\/23, -5, 2\/7, 990?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70438183.6 rounded to the nearest 1000?\nAnswer: 70438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z + 37*z + 30*z = 528. Sort 3, 12, -1, z in descending order.\nAnswer: 12, z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from gassssuasssausgssu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -82 + -2382?\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -31*w**4\/24 - 55*w**3\/2 - 90*w**2. What is the first derivative of c(s) wrt s?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -11.64, -0.08, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.109943843182 + -14.\nAnswer: -17.109943843182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213393 by -8.\nAnswer: -213393\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:07 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909974351?\nAnswer: 67, 43432453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11 = -1. Suppose -5*h + 12 = l*r, -r + 5 - 2 = -h. Suppose -r*u + 4*c + 40 = 0, -u + 5*c = -6*u + 20. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*q + 5*q - q - 13*q - 2265*q**4 - 5495 + 2321*q**4 with respect to q.\nAnswer: 224*q**3 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 1\/3, 18310, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 less than 59?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 47) + 23 - -45.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.085 nanometers to millimeters.\nAnswer: 0.000880085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 16*o**2 + 36*o.\nAnswer: -o*(o - 2)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 154*u - 259. Let h(l) = -l**2 - 31*l - 52. Let r(j) = -2*b(j) + 11*h(j). Suppose r(x) = 0. What is x?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19423 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 75572406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9198 at least 9198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25802.\nAnswer: 2, 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**3 - 39*s**4 + 6 - 3*s**3 + 8*s**3 + 3*s**4 - 40*s**4 to the form d*s**2 + p + j*s**4 + g*s**3 + f*s and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (162\/(-45))\/(-9) - (-8)\/(-45). Put l, -1\/5, 0.1 in ascending order.\nAnswer: -1\/5, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-8))\/((-3)\/3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 16. Suppose -h + 3*y - f = -36, 0 = -3*h - 4*y + 113. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -884944.3 + -1216.644.\nAnswer: -886160.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 12 + 23*g**2 + 3*g - 16*g**2 - 5*g + 2. Let u be v(-7). Solve 4*j - u - 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in -4, -2688, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u**3 - 7\/12*u**4 + 0*u + 6*u**2 + 0. Let h(d) = -2*d. Give h(v(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 262852836241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 843?\nAnswer: 12645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(8\/(-3))\/(570\/(-171)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276507 is divided by 60?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 3, l: 1}. What is prob of picking 1 l and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3368\/5 - 1359\/2. What is the common denominator of q and -29\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:28 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x + 79*x - 30*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/32)\/((-1)\/(-216)). Suppose -k - 8*k + a = 0. Suppose -50 = k*q - 14*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 7*i + 2*i - i + 4*i - 5*i + (2*i + 2 - 2)*(-3 + 0 + 2) - 2*i + 0 + 0 - 3*i + 2*i - 2*i + (4 - 1 - 5)*(26*i + 0*i + 3*i) to x*i + r and give x.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -97. Let y(v) = -v**3 - v**2 + 33. Give y(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -7 + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18*1*8\/24. Let c be (-16)\/r - (-1)\/(-3). Are -3 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -115*m + 142. What is the thousands digit of z(-71)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c + 112 - 225 + 119 + 2*c**3 + 0*c**3 as z*c**3 + k + y*c + a*c**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004745939 to seven decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43146328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) 0.1 (d) -0.5 (e) -2 (f) -3263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-102) + 194881\/(-6). Round q to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = o - 10*u + 12, 0 = -80*o + 81*o + 2*u + 15 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24151 (base 7) to base 8\nAnswer: 14163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 502238*l\/5 - 63060752161\/5.\nAnswer: -(l + 251119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 274\/32091 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2, 639, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 16*p**2 + 14*p - 47. Let b be f(8). Let k = b + -182. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 3864666.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, -22 in descending order.\nAnswer: 4, 3, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 8538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230051291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 31*d + 26. Are d and 1\/1972 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5419 is divided by 82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 26*j - 21*j. Let i(u) = 25*u - 38. Let z(n) = -13*n + 19. Let y(k) = j*i(k) + 10*z(k). Differentiate y(r) wrt r.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 93?\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17584 + -71?\nAnswer: 17513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170578 (base 15) in base 16?\nAnswer: -11036c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1\/3 (c) 0 (d) -517\/2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/135*(-18)\/12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2546 - -6555. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638*c + 10450 = -104*c + 56470 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from bidide?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (25 - 0 - 49)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 551?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -58.2 and -0.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3)\/(1\/32). Suppose -z = -3*s + 40. What is the remainder when 46 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m - 54*m + 1191*m**3 - m**2 + 941*m**3.\nAnswer: 2132*m**3 - m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y - 78. Let q be z(14). Let v(w) = -w + 1. Let p be v(-3). Solve -q*m - 12 = -2*m, 3*m = p*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11538)\/24)\/((-3)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.833 - -0.033. Let d = y - 0.2. Let r = d - -1. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/4 + 386355*b**2\/2 - 49750546419*b\/4 - 199051642188 = 0. What is b?\nAnswer: -16, 128793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6379.082 litres to millilitres.\nAnswer: 6379082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*p**4 + 97*p**3 + 1960 wrt p.\nAnswer: -20*p**3 + 291*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13251927977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30.4, 0, -4 in increasing order.\nAnswer: -30.4, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882736525?\nAnswer: 5, 11, 3209951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 5*i - 55 = 0, -5*u + 4*i + 910 = 923 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-20))\/((-1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -694 + 1667. List the prime factors of h.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.116 times -0.8\nAnswer: -0.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22450 is divided by 1563.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 1. Let x be (-160)\/(-25) - 3\/(-5) - -1. Suppose -x*s = -199 + 79. Let l(t) = 6*t**2 + 5*t - 5. What is s*b(c) + 3*l(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 5:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70730461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (sqrt(847) + 0))*2 - (sqrt(847) + 0 + sqrt(847) + sqrt(847))*4 - (sqrt(847) + sqrt(847) + 0 + -5 - (3 + sqrt(847)*-1)))**2.\nAnswer: -2640*sqrt(7) + 190639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s**2 + 31*s**2 - 4*s**2)*(-56 + 13 - 144).\nAnswer: -2431*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-35)*(-1 - (-3)\/(-2)). Put -0.2, 1, -2, d in decreasing order.\nAnswer: 1, d, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 11*o - 20. Let q be x(14). Suppose -q = -2*m - 0. What is the highest common divisor of 88 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 0. Let m = f + 5. What is the greatest common factor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 1530\/54 - 166\/6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 - -10321022211?\nAnswer: 10321020323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.26776256 rounded to 2 dps?\nAnswer: 20.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 12*l**2 - 18*l - 12. Give u(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 15*y + 117, -24*t - 556623*y + 556625*y = -110 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -6 - 30\/10. Suppose -3*k = k + 5*h - 98, d*k + 2*h = 92. Let v = k - 19. Solve -5*a - 5*g + 20 = -0*a, -v*g = 5*a - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 50 + (-18 - 1) + 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.257 in -0.13, 2, 0.006, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tmtmttmttttmttmt.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 11*i - 30. Let t be o(7). Let k(j) = -3*j**3 - 5*j**2 + j + 4. Let g be k(t). Suppose 6*z + g*z = 1572. What are the prime factors of z?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0934527007 rounded to five dps?\nAnswer: 0.09345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3*s**3 - 4*s**3 + 3 - 3*s**3 - 2*s + 6*s**3. Does 19 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040552402 (base 6) to base 2.\nAnswer: 101010111000111101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*m + 16 - 34 - 14*m + 20 - m**2 in the form a*m**2 + y*m + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a + 2. Let v(w) = -w**2 + 2. Let j be v(0). Let q(x) = 0*x + 0*x + 3*x - j*x. Let k = 3 + -2. What is k*p(c) - 10*q(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (12 - -8)) + (0 + 38 - 55)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-6)\/18)\/(3\/18). Put l, -8, -5, 8 in decreasing order.\nAnswer: 8, l, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.5 - 10.5. What is the second biggest value in 1, -2, -0.7, l?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91\/4 + 23. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30668 and 32912?\nAnswer: 1349392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = 3*u + 7, 2*m + 9 = 3*u. Let a(w) = -w**2 - 2*w + 3. Give a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1824, -1657, -1492, -1329, -1168, -1009, -852?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 + 263. Solve -2*i + g = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4106.\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 1. Let u = n - -30. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 57 = -65. Let s = u - -95. Calculate the remainder when s\/9 + 4\/18 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from fnapn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439 + -435. Let p be -3*w\/(-6)*(-105)\/(-30). Let o(v) = -v**2 + 6*v + 10. Give o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 22832*s**4 - 68548*s**3 + 91376*s**2 = 0.\nAnswer: -4, 0, 1, 5711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135*(-72)\/(-348300))\/((-68)\/142) + (-6)\/(-129)?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 630 + -101?\nAnswer: 52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*t - 20 - 3 = 0, 5*t + 25 = 5*r. Let m be (5\/6)\/(r\/18). Suppose 0 = -2*d + 4*x - 2*x + 122, 0 = m*d + 2*x - 298. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 3*p - 3*p + 4*p**3 in the form d*p + n*p**2 + y + q*p**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/2909755 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -192, -659, -1574, -3087, -5348, -8507, -12714?\nAnswer: -18119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-8) + 50895\/72. Let c = o - 76. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33506 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*g - 7*y, 0 = -5*y. Let l = -1 + 4. Let t = 1 + l. What is the nearest to 1 in t, 5\/4, g?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/(-12) + 1\/3. Let o(h) = -5*h**3 + 4*h**2 - 7*h + 35. Let b be o(4). Let m = b - -305. What is the highest common divisor of m and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20))\/(1950\/(-60) + 32)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 + 3408816*y - 204518160 = 0. What is y?\nAnswer: 60, 1136212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -468*d**3 - 5*d**2. Let q(t) = 703*t**3 + 7*t**2. Calculate 5*q(j) + 7*s(j).\nAnswer: 239*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 2*u - 1. Let a(s) = -343*s**2 + 686*s - 343. Determine 4*a(y) - 1372*h(y).\nAnswer: 1372*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 + 5*p - 2. Let z(s) = 17*s - 50. Let w be z(-25). Let q = w + 481. Calculate n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 643, -1\/4, 1\/115?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -95. Let a(y) = y + 7. Let i be a(x). Let z be i - -14 - (-2 - 4\/(-4)). What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.08 + -0.08. Let c(t) = t + 7. Let s be c(5). Let a be (-9)\/s - 1\/4. What is the nearest to a in -0.4, i, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036729.\nAnswer: 1036729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/49*(-7)\/(-6). Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*l = -l - 11, 3*q = l + 23. Solve -5*f = -q - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 20*c + 15 = -w, -5*w = 0. Let l(b) = -b**2 - 3*b - 7. Calculate l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*y = 7*y - 2*y + 132 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(8 - 4) + 102\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d**3 + 12*d**2 - 43*d + 37. Let k(i) = 23*i**3 - 22*i**2 + 80*i - 75. Determine -6*k(v) - 11*s(v).\nAnswer: -6*v**3 - 7*v + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + d + 5 + (-3 + 1 + 1)*(0*d + 3*d - 5*d) - 2*d + 3*d + 0*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -36, -14, -6.\nAnswer: -36, -14, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29365 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151497421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 4*h**4 - 3*h**3 - h**2 + 0*h**4 - h + 6*h**3 to i*h**2 + x + f*h**3 + o*h + d*h**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353106.\nAnswer: 2, 3, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 3*i. Let h(x) = 12*x**2 + 34*x. Suppose -5*b = -0*b + 30. Give b*h(k) - 68*v(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 521544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 96, -3\/2, -1\/26 in ascending order.\nAnswer: -3\/2, -1\/26, 0, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*1 - sqrt(270))\/sqrt(9))\/(-2*sqrt(810)) - ((sqrt(36)\/sqrt(3)*3)\/(sqrt(64)*-1))**2.\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, 21, 10, -4, -3 in increasing order.\nAnswer: -4, -3, 0, 10, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 6:53 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13209 - 13209.1055. Which is greater: -1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53 times -15412?\nAnswer: -8168.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from rcbsjic?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 1837 = -l. What are the prime factors of l?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14354*v - 13 = 5*s - 14355*v, 5*v = 40 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 68*p - 13. Let j(k) = 69*k - 14. Let w(c) = -6*b(c) + 5*j(c). What is the hundreds digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 973 - 970. Sort 24, 0.1, l.\nAnswer: 0.1, l, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 - 401. Solve -2 = z - v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v\/v**(-4\/3)))\/(v\/v**5*v**(-1\/7)) assuming v is positive.\nAnswer: v**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11565*n**2 - 8124*n wrt n?\nAnswer: -23130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4302570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 + 3*g. Let x(i) = 95*i + 286. Let m be x(-3). What is s(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8100592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4976811684.\nAnswer: 2, 3, 13, 29, 366697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9734803649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-13 + -56) - 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15))\/((-1014)\/37180).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*b - 22, 2 = b - 3. What is the tens digit of 128\/5 + z\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 24. Let x = g + 14. Suppose x*f + f = 0. Which is bigger: f or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 96 = 13*l. Suppose -5*g - 14 = l. Let q(f) = -f - 7. Give q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1441*h**4 - 9858*h - 40. Let n(m) = -4323*m**4 + 29572*m + 128. Let x(q) = 16*g(q) + 5*n(q). What is the second derivative of x(z) wrt z?\nAnswer: 17292*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 4, o: 1, e: 1, n: 2}. Give prob of sequence eccb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4 = 2*a - 15, 2*a - 4*l - 12 = 0. Solve 4*t + 18 = -2*i, a*t + 15 = -5*i - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from ggkgkkkgkk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ccaaoaasccaocsccc?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3245 and 3599?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702\/243 + 1\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeyvyyyev. What is prob of picking 1 y, 1 v, and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2923417, 2923418, 2923419, 2923420, 2923421?\nAnswer: 2923422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -5. Differentiate 3*a - 3*a - c - 3*a + 6*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 589*c**3 - 6*c**2 - c - 7. Calculate z(-1).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(6\/(-27)). Suppose 2*m + 2*m - 14 = b, 0 = -v*m + 4*b + 4. Solve -q = -m*o - 9, q - 6 = -o - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103556858?\nAnswer: 2, 37, 1399417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3441*j = -3426*j + 45 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -302*b - 39. Let d(k) = 3*k. Calculate d(j(x)).\nAnswer: -906*x - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2422854\/4200)\/287 + 27\/(-12)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -8391, -4, 5, 0, 103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152840 rounded to the nearest one thousand?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13465926797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 + 30.3?\nAnswer: 29.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + d = -8*d. Let t = -648\/5 + 129. What is the second biggest value in -1.7, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from pkkkkpk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y. Let m be 22*(3 + 22\/(-4)). Let p = m + 50. Calculate c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 16. Suppose -133 = -166*m + 101 + 98. Let i(p) = -3*p - 47. What is m*i(h) - 7*o(h)?\nAnswer: h + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2550*l**3*v - l**3 + 150*l**2*v wrt l?\nAnswer: 15300*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/36 + (-2)\/8. Let x = 67.8 - 68.8. Which is the nearest to -1? (a) -4 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*c**2 - 173*c**2 - 185*c**2 + 542*c**2 - 28*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1231 + -1225. Solve -10*c - 4 = k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -2\/13 (c) -25.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + -1)\/((-34)\/(-374)))\/((-4)\/(-12) - 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4444 + -4420. Solve -3*q = -2*t + 4, 5*q + o*t - 27*t = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (2 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284125967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 562373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10238, -10385, -10534, -10685, -10838, -10993, -11150?\nAnswer: -11309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 9*t - 360 = 0. What is t rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 2*k**2 - 7*k**2)*(219*k**3 + 140*k**3 + 10*k**3).\nAnswer: -3690*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14900, -14890, -14876, -14858, -14836, -14810?\nAnswer: -14780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 9*q - 2*q**2 - 2*q**2. Let y be v(-9). Suppose -3*j = -y*j - 12. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 3*c - 12, 428*g - 431*g - 5*c + 32 = -4*c for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1. Suppose -4*q + 5*g = 1 - 2, 2*q + g - 11 = 0. Suppose 0 = -2*t + 5*o + 3, q*t = t - 3*o - 6. Let i(w) = w - 6. What is t*i(s) - 4*f(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-3)))**(-30) assuming h is positive.\nAnswer: h**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 18 = -2*f, -2*a - 136 + 124 = -3*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 - 8*m**2 + 12*m**4 + 12*m**2 + m to the form l*m**3 + h + s*m**4 + p*m**2 + o*m and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*r + 1330, 3*r + 5*m - 2*m - 993 = 0. What are the prime factors of r?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17)\/p*p**(-30))\/(p**(-18)\/(p\/p**(-5\/9))) assuming p is positive.\nAnswer: p**(-256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a + 9*a**3 - 18*a - 17*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9980 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73734 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1663\nAnswer: -6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 2. Let q(u) be the second derivative of -u**4\/12 - u**3\/2 - 3*u**2\/2 + 3*u. Let j(f) = -f + 5. Let s be j(3). Give s*q(c) - 3*l(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1548, 1441, 1336, 1233, 1132?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 281 = -3*d - v, 0 = -2*d - 5*v + 194. Let y(g) = 5*g - 87 + d. Let p(a) = 2*a - 2*a + 3*a - 5*a. What is p(y(u))?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 191.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence one when three letters picked without replacement from {n: 12, e: 1, o: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*p + 35 = 8, 0 = 3*j + 5*p - 42. Calculate the least common multiple of 48 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*g + 10. What is the least common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 3. Let l be q(-2). Let o(m) = m**3 - 9*m**2 + 16 + m**2 + 5*m - 7*m. Let r be o(8). Sort r, -2, l, -4 in decreasing order.\nAnswer: r, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.03 + -0.03. Let h = -1 - -1.2. Sort h, u, 0.5.\nAnswer: h, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 + 225 = 26*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.8 - 34.2. Let p = 46 + y. Sort -0.1, -0.4, -2\/7, p.\nAnswer: -0.4, -2\/7, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59778 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(1\/3)*t)\/t))*t)\/t*((t*t**(-1\/20))\/t)\/t*t*((t\/((((t\/((((t\/t**(-2\/19))\/t)\/t)\/t))\/t)\/t)\/t))\/t)\/(t*t**(7\/5)*t))**(-33) assuming t is positive.\nAnswer: t**(37763\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196154 and 966?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/11 - 216*y\/11 - 1458\/11.\nAnswer: -2*(2*y + 27)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6139962 by -6.\nAnswer: -1023327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -2)\/(-8 + 863152\/107896) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-10)*1\/(-6). Suppose 2*j - 23 = -3*f, 2*f + 3*j = 6*j - 2. What is the second smallest value in f, -0.9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23691 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 50 in decreasing order.\nAnswer: 50, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - d + d)*(13*d**3 - 2 + 2).\nAnswer: -65*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let x(r) = 6*r**2 - 3*r - 3. Let h(y) = 7*y**2 - 4*y - 4. Let j(o) = -3*h(o) + 4*x(o). What is j(n(t))?\nAnswer: 48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*a + 2)*(4*a - 3*a + a) + 15*a**2 - 28*a**2 + 8*a + 12*a**2 in the form n*a + k*a**2 + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 2*d**2 + 4*d**2 - 8*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 - w**2 + 2*w - 2. Let s(l) = -82*l**3 + 254*l**2 - 514*l + 244. Let j(q) = 2*s(q) - 28*z(q). Factor j(c).\nAnswer: 4*(c - 1)**2*(c + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -553 and -5.\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + (30936\/(-416))\/(42\/(-4)). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 26361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-17784)*-26*-3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 368 = 32*i. Suppose -i*l = -201 - 926. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.48 - 20. Let p = 0.48 - q. Which is the smallest value? (a) -0.5 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3091 times -0.086493?\nAnswer: 267.349863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23*p**2 - 6*p + 4. Let v(a) = -45*a**2 + 13*a - 9. Let u(k) = -4*v(k) - 9*z(k). Find the second derivative of u(q) wrt q.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*x**4 - 429*x**4 - 189*x**2 + 4*x**3 - 3 + 259*x**4 to the form y*x**3 + n*x + i*x**2 + h + c*x**4 and give i.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1950.\nAnswer: 3900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-15) - -4)\/(-17*76\/(-17442)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3 + 1)*(4*n**5 - n**5 - 4*n**5).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 2\/15, -5, -0.15, 6, 0.92?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/36 + (-24)\/108. Put f, -2, -259 in ascending order.\nAnswer: -259, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from kyr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -6\/157, -9 in ascending order.\nAnswer: -9, -6\/157, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence undu when four letters picked without replacement from {d: 1, u: 3, n: 5}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12054084 to the nearest integer?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/1485783?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43074 - 60 = 402*t for t.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419689, -839384, -1259079, -1678774?\nAnswer: -2098469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5377000 rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 407*f + 164*f - 283*f + 372*f + 249*f in the form z + r*f and give r.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/40 - z**4\/8 - z**3\/4 + 9*z**2 + 7*z. Let y(i) be the first derivative of v(i). Find h such that y(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 23\/8 (b) 0.2 (c) 1 (d) -2\/19 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14003 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkadadxcackhx. Give prob of sequence dad.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 + -496.999998344. Round p to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovguovv. What is prob of picking 3 v and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-4 - ((-4 - 28769994) + -5)). What is l rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49189.775 to the nearest ten.\nAnswer: -49190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -163c - -1a20?\nAnswer: 3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007438 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by 51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10459447 by 10.\nAnswer: -10459447\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.2, 8, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**5\/60 - o**4\/6 - o**3\/6 + 14*o**2. Let c be t(3). What is the second smallest value in -0.5, c, 2\/17, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efrfzfffzfr. Give prob of sequence erfz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 36.3 (b) -34 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 2*f**2 - f**2 - 2*f**2 + f - 4 - 2*f**3. List the prime factors of h(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -2. Suppose -4*x + 8 + 0 = -l, -l - 5 = -3*x. Let n be 1\/(x - (-2 - -2)). Which is the closest to 1\/2? (a) n (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15037*k + 5*m + 10 + 72 = -15038*k, 0 = -5*k - 92*m - 1482 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1529 + -989. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-140)\/(-21) + 2\/6. Suppose 2*w = -4*z - 136, -5*z = 6*w - j*w - 96. Let m = w + 90. Solve 4*v = -m + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(76) - 1*sqrt(76)*1) - (4*(0 + sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76)) - (-2*sqrt(76) + sqrt(76))*4)) + 0)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2973735 + -3?\nAnswer: -2973738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 20*r + 36. Calculate m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -4, -5, -7.\nAnswer: -9, -7, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyzymzzyyzmmzzemzzxn. Give prob of picking 1 m, 1 n, 1 e, and 1 y.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-76)\/184 + 2\/(-23)). What is the closest to q in 1\/2, 5, -4, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 635*z**5 - 1237*z**2.\nAnswer: 240*z**3 + 38100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let p be h(-4). Suppose -u - 2 - 31 = -5*r, u = 3*r - 19. Let i(n) = -9*n - 18. Let x(g) = 4*g + 9. Let l(c) = r*x(c) + 3*i(c). Calculate l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046656 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 150.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 160\/112 + 4\/7. Let b(p) = -2*p**3 + 5*p**2 - 8*p + 6. What is b(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ellm when four letters picked without replacement from {n: 1, l: 2, e: 2, b: 5, m: 6}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*v = -34, -l + 36 = -5*l + 2*v. Let w(z) = -z - 6. Let j be w(l). Suppose 5 + 21 = j*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5513560476.3 and -3.6?\nAnswer: 5513560479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 304574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 5. Let m be i(-5). Let v be (-3 + 2)*-2*(-108)\/(-972). Is m equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/15, 4, -0.03, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/33986693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 23*n - 251, -4*i - 223*n + 228*n = -63 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42891933 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13650 by 30.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 6*d - 20. Let z be k(-9). Suppose 0 = 12*u - z*u + 5. Which is the third biggest value? (a) 2\/11 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -26*r - 216 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:35 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1591)\/(-333) + (-2)\/(-9). Put o, -4, -120, -1 in increasing order.\nAnswer: -120, -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*38\/(-264) - ((-304)\/(-836) + 0)?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149\/159507 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38181 by 13.\nAnswer: -2937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17*q**2 - 3. Let v(r) = -102*r**2 - 17. Let p(s) = -6*v(s) + 34*x(s). Let k(y) = -2*y**2. Give p(k(l)).\nAnswer: 136*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 167561099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161156115*b*m + 2*b*p**3 + 53*m*p**3 - 148*m*p**2 - 2*m*p + 9*m - 8*p**2 with respect to b.\nAnswer: -161156115*m + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16297727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 16 = 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 5:47 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c. What is the lowest common multiple of 22 and d(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 3*l - 2, -5*s - 4*l + 41 = 0. Suppose 0 = s*y - 0*y - 15. Suppose 7*n - y*n = 16. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - (-528)\/30. Let d be (-208704)\/54 - 2\/w. Let n = d - -6188. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 16*u**2 - 14*u + 9. Determine v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 1. Let c(i) = -2*i + 4. Suppose -a = -2*a + 4. Let l(f) = a - f - 1 - 2. Determine g*c(h) - 3*l(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 26*u + 229. Let x be o(33). Calculate the greatest common divisor of 2944 and x.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/120 + x**5\/12 - x**4\/24 - x**3\/6 - x**2. Let o be m(4). List the prime factors of 1\/(2 + -3) + o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*n + 3927 - 4*n - 3917)*(4 - 5 - 3)*(4 - 2 - 1) to the form q*n + v and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 562 = -q, 0 = -5*q - 3*v + 1056 + 1780. What is the remainder when q is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -781542*l**2 + 816900*l?\nAnswer: -1563084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -12) + -9 - (6 + (-28 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(7*a**2 - 3*a**3 - 7*a**2)*(-1 + 1 - 2).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6867 - -13379. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 9*a**2 - 4*a - 120. Calculate b(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/28)\/(9 - (-114)\/(-12))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**2)\/(t*t**(2\/9)))\/(t**(2\/17)\/t*(t*t*t\/(t\/(t\/t**2)*t)*t)\/t))\/((t\/t**(-8))\/t**(1\/8)*t**(-1\/9)\/t*(t**(-3\/8)\/t)\/t) assuming t is positive.\nAnswer: t**(-2059\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/4 - -3\/2. What is the third biggest value in 1, -1\/3, g, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.6 - 10. Let a = -2.4 - d. What is the nearest to 0 in -1, a, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1baab3 - -3?\nAnswer: -1baab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 66. Let s = 55 - o. Let d(c) be the second derivative of -c**3\/6 + c**2 + 17*c. What is d(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, d: 14}. What is prob of picking 3 d and 1 v?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 1, j: 5}. What is prob of picking 1 u, 1 j, and 1 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b + 1. Let q(n) = -25*n**3 + 2*n - 2. Give q(p) + 2*z(p).\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 5*d**3 - d**3 + (-2 + 0 + 3)*(3*d**3 - 5*d**3 + 3*d**3).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*n = -t + 215, -2*t - 4*n = -414. What is the remainder when t is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50173.01 litres in millilitres?\nAnswer: 50173010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 2*g - 53 = 0, 0 = 5*n - 5*g - 250. Suppose 3*o + 4*d - n = 0, -2*o + 4*d - 8 + 42 = 0. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -18981*g**2 + g**3 + 6 + 18980*g**2 + 2 - 9 + 0*g**3. Let u(z) = -z**3 + 5*z**2 + z + 10. What is -5*r(j) - u(j)?\nAnswer: -4*j**3 - j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2456\/19341)\/((-12)\/(-7))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38721075 divided by -1?\nAnswer: 38721075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*n**3 - n**4 + 0 + 5*n**2 + n - 2 + 42*n**3 in the form s*n + c*n**2 + d*n**4 + p*n**3 + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l + 2*l + 4*n, -4 = -l - n. Suppose -2*k - 2*k + 103 = -l*z, 2*k - 53 = 3*z. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 86774*b + 2082704.\nAnswer: -2*(b - 24)*(b + 390507)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/15*(-4 - -1). Let b be 3 + 6 + (-3)\/y. Solve -n + 3*n = -2*j + b, 0 = j - 2*n + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1216))**2 + sqrt(19) + 0 + 3 - (sqrt(114)\/(sqrt(384) + 1*sqrt(384) - sqrt(6)))**2.\nAnswer: -15*sqrt(19) + 274481\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 25*d = 0. Suppose 5*n = 5*v + 670, d*n + n + v = 126. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -310, 2, 147, 1 in decreasing order.\nAnswer: 147, 2, 1, -2, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 433.6778532 and -0.06.\nAnswer: 433.6178532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjpjjpjpj. Give prob of picking 3 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10955397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -i. Let y = i + -1. What is the tens digit of (-5 - 6)\/(y - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106.8483 and 0.06.\nAnswer: -6.410898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 161*i**2\/2 - 10*i + 6. Is p(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-7)\/770)\/((-1)\/6).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*p**3 - 2\/11*p**2 + 4\/11*p + 0.\nAnswer: -2*p*(p - 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (20 - (21 + -10)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -17. Suppose -13*p + 16*p - 4*r = 373, 5*r = -3*p + 391. Let l = 201 - p. What is the remainder when l is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 150.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.2 + 28. Sort w, 1\/8, -0.14 in increasing order.\nAnswer: w, -0.14, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11201?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/201 smaller than -4\/3995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipp when three letters picked without replacement from {p: 7, i: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -579164.\nAnswer: 1\/144791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 134\/(-32) + (-20)\/(-5). Let h = w + -421\/16. Find the common denominator of h and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r. Suppose 8*y - 32 = -16. Let h(d) = -2*d + 39710*d**y + 2*d - 39703*d**2. Determine h(b(x)).\nAnswer: 343*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/45 and -63\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 25*u**2 - 110*u - 1137. Determine s(30).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(14\/(-5)))\/((-6)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -167, -383, -709, -1145, -1691, -2347, -3113?\n\"Answer: -55*s**2 - 51*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 10*o - 2. Suppose 5*j - 15 = -5, -n = 2*j - 6. Let v(y) = -4*y**2 + 2*y - 1. Let u be v(n). Is t(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98311142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -3, 5.\nAnswer: -3, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-28 + 8) + 10\/23*16?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 8*k - 9. Let p be d(6). Suppose 24 = 3*n + p*u, 3*n = 4*u - 9*u + 32. What is the remainder when (-130)\/(-18) - (6 - 208\/36) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 2603754*k + 564961241043 = 0. Calculate k.\nAnswer: 433959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -37, -82, -163, -292?\n\"Answer: -2*i**3 - 7*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/60 - s**4\/12 - 2*s**3\/3 - 5*s**2. Is 4 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(13) + -4 - sqrt(13))**2*5 - -4*(sqrt(468) - sqrt(13))*-1.\nAnswer: -20*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(1 - (1 - -1)). Let v = 13138 - 13141. Sort a, v, 1.3, 1\/5.\nAnswer: a, v, 1\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idictttitt. What is prob of picking 2 t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 17*q**2 - 3. Determine j(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + 6*p**3 - 7*p**3 + (3*p + p - 6*p)*(0*p**2 - p**2 + 3*p**2) + (-4 + 3 - 1)*(2*p**3 - 3*p + 3*p) as h + d*p + s*p**2 + x*p**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5427 and -0.1.\nAnswer: 542.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094928916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1450?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/9, 3160?\nAnswer: 3160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592653.5 meters in nanometers?\nAnswer: 592653500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s - 7. Let w be l(1). Let r be 18\/w + 3076\/2040. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17481412*d**2*m*v + 4*d*m*v - d*m + d - 182336*m*v - v wrt d?\nAnswer: -34962824*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 1:12 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1376 + 0.8376. Let x be (4\/845)\/(12\/(-30)). Put y, 1\/2, x in decreasing order.\nAnswer: 1\/2, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13246, 53411, 120352, 214069?\nAnswer: 334562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255343 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*y + 4*z, -y + 22*z + 3 = 18*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3*c**4\/4 - 4*c + 16. Let k(b) = -3*b**2. What is k(z(w))?\nAnswer: -243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -504 (base 8) to base 4\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141488 + -73129. What are the prime factors of u?\nAnswer: 197, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2211180315\nAnswer: -2211180311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 3 - 29*x**4 + 13*x**4 + 10*x**4 + 10*x**4 - 2*x**3 to s*x**3 + u*x**2 + o*x + r*x**4 + p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21511921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*u = 47*u + 501 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2*t**3\/3 + 13*t**2 + 38*t - 39. What is the units digit of m(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39820407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*x - c, 5*c - 3*c = 5*x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(187))\/sqrt(11) + 2 + -3.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {i: 1, v: 3, y: 4, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from iiieiiieiii?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-26)*a*a**(1\/5)*a*a*a**(-10)*a**1*a assuming a is positive.\nAnswer: a**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0 - x - 1\/2*x**2 + 1\/6*x**3. Let h(v) = -6*v + 4. Let i(n) = h(n) + 5*j(n). What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -19, 0, 0.02, 2367 in increasing order.\nAnswer: -19, 0, 0.02, 1, 5, 2367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 101\/2, -197, -4, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -5012, -16934, -40158, -78452?\nAnswer: -135584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 382088683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 23*r - 16. Let m be t(4). Let n = m + 95. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 90, 136, 182?\n\"Answer: 46*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3228*j + 3210*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60956 by -1211.\nAnswer: 8708\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-2299)\/(-38) + -29\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (16 - -2 - -13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732690 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m - 6*m + 15*m)*(-3*m - 4*m**2 - 3*m**2 + 4*m**2 + (1 - 1 + m)*(m - m + 2*m)).\nAnswer: -21*m**3 - 63*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 - 9*j + 96 + j)*(15*j + 57 - 57) to the form o + p*j + u*j**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-25)\/(-10))\/(1\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:10 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:38 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Solve -3*f - r - 10 = 0, -t*r + 0 = -5*f - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 4. Suppose 4*z - 63 = 3*w, -4*w - 73 + 89 = 3*z. Calculate r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1465, 2934, 4305, 5524, 6537?\n\"Answer: -9*r**3 + 5*r**2 + 1517*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48\/5, -194, 4\/5, 13?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3645 + -5643?\nAnswer: -12621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 - 11 = -t, 2*q = 8. Suppose o - t*o = -5*r + 36, -3*o + 8 = 5*r. Suppose -7*g + r*g = -81. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14*m**(7\/5))\/(m**(-1\/6)\/(m*m\/(m\/m**(-14)))) assuming m is positive.\nAnswer: m**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3370 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604217417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974865983.\nAnswer: 2974865983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 + 6. Let h be s(7). Let j be (h\/(-4))\/((-50)\/20). Let 1\/5 + 4\/5*f + j*f**2 = 0. Calculate f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43283557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312 + -180. Let y = 65 + -97. Let s = 65 + y. Calculate the highest common divisor of s and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 6*z**2 + 4*z + 8. Let g be c(5). Suppose 4*l - 5*h = 18, 0 = 3*h + g + 3. Solve -l*a = -7*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(3\/7)*g**(-2\/15)\/g**(-2\/9))**(10\/3) assuming g is positive.\nAnswer: g**(-1564\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afqf when four letters picked without replacement from ffasqqsfqqfsq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14866 - 8061. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*g - 5*u, -g - 3*u - u = 11. Is 6\/11 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001 + 30?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 704892700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*f + 26 - 26.\nAnswer: 691*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 64, 4 in descending order.\nAnswer: 64, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(144)*1)\/sqrt(4))\/(sqrt(60)\/(3*sqrt(45))))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2*w**3 - 2*n**2*w**2 - 6*n**2*w + 7*n*w**3 + 1683*n*w**2 - 227*w**3 wrt w.\nAnswer: 12*n**2 + 42*n - 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 112011110201?\nAnswer: 112011110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7881\/7 or 1127?\nAnswer: 1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(17))**2*4.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691372?\nAnswer: 2, 11, 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*26\/(-39). Sort -5, y, 9 in ascending order.\nAnswer: -5, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + 4 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 3*l**2 - 68 + 2*l**2 + 0*l**2 + l + 74. Suppose 0*u + 10 = 2*u. Let d be x(u). Is d >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4*f**2 + f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 364\/16 - 18\/24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/130 and 14\/5759.\nAnswer: 57590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10)*-1 - sqrt(10)))\/(sqrt(6) - (4*sqrt(96) + sqrt(96))).\nAnswer: sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*w - 73 = 57, -110 = -3*c - 5*w. What is the remainder when 58 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7753*r**3 + 71*r - 2 + 29*r**3 - 62*r.\nAnswer: -7724*r**3 + 9*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 90 + (-44)\/4. Calculate the greatest common factor of 208 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*m**4 - 296.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -30, 1\/2, -3, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4199706011887935471*v**4\/2 - 50396464333563669009*v**3 + 187418187679086*v**2 - 232328300*v + 96 = 0. What is v?\nAnswer: -24, 2\/1613391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -19*d + 163 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259*a + 259*a - 17*a**2)*(5*a - 4*a - 2*a) + (-a**3 + 2*a**3 - 2*a**3)*(4 + 3 - 5).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 28405273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 360*x**2 + 3045*x + 3410.\nAnswer: 5*(x - 62)*(x - 11)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1054\/3 - (88\/(-33))\/(-2). Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4623\/(-57) + 2\/19. Let p = 0 - a. Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -461\/6. Let v be 6\/(-18) + 26\/114. Sort -1\/2, v, q in descending order.\nAnswer: q, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -39. Suppose -v*w = -7*w - 8*w. Sort w, 1, -2 in increasing order.\nAnswer: -2, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1409, -1261, -1111, -959, -805?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125350 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 (base 3) in base 6?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 2*q - 8. Suppose 7*a + 2 = -5. Let u(j) = -j**2 + 1. Determine a*i(z) - 3*u(z).\nAnswer: z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3 - h**3 + h + 14 + 27*h**2 + 0*h**3 + 5 - 51*h. Calculate the smallest common multiple of 6 and i(25).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**4\/24 - 3*z**3\/2 - z**2. Let t be g(8). Let c be t + (-5)\/(15\/(-6)). Solve 2*r = -4*j + 6, -3*j + 3 - c = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/2 + -3 + -1. Find b, given that 2*b + 0*b**3 - 6*b**2 + t*b**3 + 2 - 2 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -545204, -544565, -543502, -542015?\n\"Answer: 212*d**2 + 3*d - 545419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070432 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 2\/17 (c) 23 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 847 + -3407\/4. Let m be 2\/((4 + -3)\/(-5)). Let i = -131\/4 - m. What is the common denominator of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((209\/14136)\/11). Which is bigger: o or -745?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/3 (b) -2\/7 (c) -1 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 275 and 225?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-5 + 2)\/(-6). Suppose r*s + 0*s + f + 5 = 0, f + 5 = s. Suppose q = -s*q + 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(b + 3*b - 2*b) + ((-12 + 3 - 1)*(1 + 5 + 0) + 1 - 4 + 2)*(-b - 2*b + b) as k + v*b and give v.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 32*i**2 + 2*i + 92. Let y = 25 + -15. What is the remainder when k(-32) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*r + 5, -h - 4*r + 2 = -5. Let w be -2 + 12 + 8\/(-2). Let m be (-322)\/(-345) - 2\/w. Put m, h, 8\/7 in descending order.\nAnswer: 8\/7, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*c*j*r**3*w - 5*c*j*w - 4*c*r**3 + c - j*r**2*w - 113*j*r - 30*r**3*w wrt r.\nAnswer: 342*c*j*w - 24*c - 180*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 + 607\/2. Let v = c + 141\/22. Let d(r) = -r - 2. Let f be d(-3). Which is bigger: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 15*p - 20*p + 21, -3*p + 7 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2992 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**22)**(8\/3) assuming q is positive.\nAnswer: q**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -11\/4 (b) 0 (c) 21\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + 0.8. Let x = -0.253 + -0.047. Let j = x - a. Is j at least as big as -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g - 2. Let v be t(0). List the prime factors of (472\/(-24))\/(v\/12).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62402.\nAnswer: 2, 41, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 36 - (-6)\/(-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101\/825 + -3\/275. What is the biggest value in -2\/19, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 168109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87.4 - 14.1. Let z = x + 101. Let w = 2 + 3. Which is the third smallest value? (a) w (b) 4 (c) z (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212983490*u**3 - 340608831*u?\nAnswer: -1277900940*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) 0.01 (d) -17 (e) 8\/81 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 825116961*p**3 + 449127214.\nAnswer: 2475350883*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1544 - -2057. Calculate the greatest common divisor of 912 and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25120 by 12560.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273050818260*d**2 + d + 0*d + 136525409133*d**2 - d + 136525409128*d**2 + 0 + 0.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24524097, -49048173, -73572249, -98096325, -122620401?\nAnswer: -147144477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -1. Let n(k) be the second derivative of -k**5\/20 - 5*k**4\/6 - 4*k**3\/3 + 5*k**2\/2 + 723*k. Give n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oriroihorffgi. Give prob of sequence rro.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let n = -7 - -10. What are the prime factors of (c + -2)\/n - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 17 = 3. What is the lowest common multiple of h and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j + 8223 = -67*j. What are the prime factors of j?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1 + 6 + 3 + k - 9. Let i(h) = -5*h + 4. Determine i(y) + 6*w(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a7b (base 14) to base 7\nAnswer: 6014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 161 + 375 = 36 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1750 and 396480?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 2*w + 6*w)*(122 - 1397 - 2255) to c*w + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320759709 to the power of 1\/3, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 365*j**3 - 169*j**3 - 727*j**3 + 2.\nAnswer: -1261*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2 + -2*sqrt(1377) + (3*sqrt(153))**2 + -2)*-2.\nAnswer: -2750 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1256454, 1256458, 1256460, 1256460, 1256458?\n\"Answer: -r**2 + 7*r + 1256448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -10, 4 = f - g - 81. Let a = -33 + f. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*x + 3 + 2, 3*x - 1 = j. Find the second derivative of -8*y + 7*y + 14*y**j - 9*y wrt y.\nAnswer: 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -8. Let f(c) = 5*c + 7. Let k be f(b). Suppose -k = -2*r - 2*r - 4*n, 0 = -5*r + 3*n + 114. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16066 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 722*t*y**3 + 5*y**3 - 4*y with respect to t.\nAnswer: 722*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/7 of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2055\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g - 5*f - 33 = -26*g + 37, 0 = 34*g - 33*g + f - 0 - 2 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86132.53 hours?\nAnswer: 310077108000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {h: 3, g: 1, u: 3, f: 3, r: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-493*y - 95 + 861*y - 377*y)*(-3 + 1 + 4).\nAnswer: -18*y - 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 118*r**2 + 31*r**2 + 9184*r**3 - 9183*r**3 - 2*r + 0 as z*r**3 + w*r**2 + d + l*r and give w.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmfnmfnnmm. Give prob of sequence mmm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -27006.29031 + 26979.39. Let z = m + -0.09719. Let t = -27 - z. Round t to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 147 - 2*m + 68 + 47 + 4*m.\nAnswer: 2*m + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -2*n. Suppose 0 = 1442*u + 1268 - 2936 - 1216. Solve 2 = -3*q - 0*q + l, -u*q + n*l = 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -z + 3*v + 2, -5*z + 3*v = -22. Let h(n) = n - 5. Let y be h(z). Suppose -m - s + 7 = y, -2*m + s + 10 = 2*s. Solve -1 = 2*w - m*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*u**5 + u - 26.\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/433 in 2, -30, -104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*g + 5 = 0, -3*h + g - 4 = -1. Let q be (h - 19998)\/((-2)\/60). What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 5*g**3\/2 + 2*g**2 + 6*g. Let p(u) = 9*u. Let b be p(1). Is f(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -62, -78, -94, -110?\n\"Answer: -16*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*p. Let f = 29 + -25.1. Let h = 3.1 + f. Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 6*j. Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 19368*c + 1135750.\nAnswer: 2*(c - 9625)*(c - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -3\/4 (b) 2 (c) -182644 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -67. Calculate the remainder when p is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2023 and 8508160.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*r - 26, 5*r - 1138*c + 1143*c + 35 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(5\/(-2))\/(15\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 75. Suppose -3*y = -2*c + 137, -8 - 2 = x*y. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*g + 50. Let y be (-21)\/g*(-4)\/3. What is the second smallest value in -0.1, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.521604 microseconds?\nAnswer: 0.008521604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3371681, 3371868, 3372055, 3372242, 3372429?\nAnswer: 3372616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - u = -10, 4*b + 44 = 8*b + 3*u. Calculate the common denominator of -7\/11 and b*4\/(-6) - 2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-2)\/(-21)*-1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*-1*sqrt(10))\/(1*sqrt(180) - sqrt(5) - sqrt(5)) + (sqrt(10) + sqrt(1440) + 2*sqrt(1440))\/((sqrt(100)\/sqrt(2))\/sqrt(10)).\nAnswer: -4 + 75*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9241440 by 15.\nAnswer: 616096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3568.98077 + -3569. What is c rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1596*x + 8022. Let q be r(5). What is the smallest value in q, 0.5, 3, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:56 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 6*n - 530 = 0. Let z = -59 + n. Suppose -4*r - 5*b + z = 0, -8 = -2*b - 18. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 2*r**2 + 1. Let x be 68\/12 - (-2)\/(-3). Suppose x*s = -0*s - 5. Calculate l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:27 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13d3 (base 16) in base 2?\nAnswer: -1001111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c + 15 = 0. Let y be (c - -5) + -2 + 36. Let q = y + -3. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*s - 114*s - 20*g + 383, -3*s = -g + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 divided by -664?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -118, -24 in ascending order.\nAnswer: -118, -24, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 57100*a - 9250212. What is u(162)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.614 - -1160.19\nAnswer: 1159.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 989517+1848\nAnswer: 991365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*t**2 + 163*t**2 - 14*t + 46*t**2.\nAnswer: 1112*t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a88 (base 11) to base 6.\nAnswer: 353340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3080 and 1848?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -726994*x + 358679?\nAnswer: -726994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3991528 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 87 = 5*w + 344 - 141, 0 = -4*o - w - 33 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*36\/27. Let z(a) = a**2 + a. Let x be z(-1). Put x, 1, m in increasing order.\nAnswer: x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:26 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 84. Solve -x = -2*i - 11, 0 = 2*x - 4*x + 5*i + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - f - f)*(0 - 7 - 4) + 184*f + 41 + 185*f - 373*f to n + u*f and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -5 - ((9 - 0) + -22 + 9 + 4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -52, -17, -8, -31?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*l - 2, 6*k - 7*k + 4*l = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1847*u - 1525.\nAnswer: 1847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p, 4*f - 6*f = -5*p - 155. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t - 15*t = 58 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364936787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 3*j**3 + 8*j**3 + j**3 - 19*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {q: 5, x: 5, h: 2, m: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a + 14*a - 28*a. Let g(p) be the second derivative of 0*p**2 + 1\/3*p**3 + 0 + p. Determine g(c(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100.072 - -100.07150711. Round t to five dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 466, 890?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = 0, -2*g + 1 = 5*t - 30. Let i be (1*3)\/(9\/12). Suppose z - 7 = -i*d + 10, 9 = -3*z. Solve d*o - 2 = g*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1780 (b) -2\/21 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 7*q - 558. Calculate the highest common divisor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(2\/39)*b**8*b\/b**(-1)*(b\/b**(-1\/12)*b*b**(-11))**9 assuming b is positive.\nAnswer: b**(-10951\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 22. Let t = m - -17. Solve 2*g = -8 - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:09 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88358 and 152?\nAnswer: 6715208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -1.3, -6, 0.4, 1\/3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 2\/19 (b) -2\/11 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 3. Let f = 153 - 227. Let k = f + 70. Let g(y) = 5*y + 4. Let l(n) = 5*n + 4. Let c(w) = k*g(w) + 5*l(w). Give -2*c(o) - 3*j(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/15)\/((-10)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7011*x - 6. Let f(v) = -v**2. Give d(f(o)).\nAnswer: 7011*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -5*y**4\/4 - 4*y + 2. Differentiate c(k) with respect to k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330\/1848 + (18\/(-15))\/((-28)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20 = -2*v, -y + 6*y - 2*v = 12. Let m = 13 - 10. Solve 0 = -p - m*g + g + 6, 2*p + 2*g - y = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2864 + 2869. Which is the third biggest value? (a) z (b) -25 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-20))\/(((-1000)\/50)\/(-100)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182716 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35695 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1965 * -0.196\nAnswer: -0.038514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose 2*s + 3*s + 25 = j. Is 2\/5 + (-633)\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 + 218*y**2\/3 - 13081*y\/3 + 42436 = 0.\nAnswer: 12, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15167? (a) 0.01 (b) -0.06 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38da5 + -19d?\nAnswer: 38c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46612410 (base 7) to base 8\nAnswer: 17520006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*t - 18. Let a = 23338\/11 - 210526\/99. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0 + 6. Suppose 0 = -5*k + i + 26 + 52, -p*k - 4*i = -40. Calculate the remainder when 29 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4963*m - 4968*m - 655 = -5*h, -5*m - 5608 = -44*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(96)\/sqrt(8).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 (base 10) in base 14?\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*k**2 + 224*k**5 + 150*k**2 + 284*k**2 wrt k?\nAnswer: 13440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 16*x - 9. What is the units digit of y(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.56 - 34.56. Which is the biggest value? (a) -2\/7 (b) 4 (c) q (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/12 - 1)*(-148)\/370\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.5 (b) -0.4 (c) -5 (d) -229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 + 6*l**2 + 5*l - 6. Let j(o) = 14*o**3 - 17*o**2 - 15*o + 17. Let w(v) = 17*a(v) + 6*j(v). Find the second derivative of w(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 117 = -711. Let r = -50 - s. Differentiate 2*l**2 + 46 + 2*l**r - 2*l**2 - 31 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -1357, -2054, -2771, -3514, -4289, -5102, -5959?\nAnswer: -6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 8 = -2*b, 64279 = -4*b + 2*k + 64247 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:12 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 53*v**2 + 90*v - 129. Is c(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30\/7 of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7465514 + 7465514 - 5189*g)*(5 - 5 - g**3).\nAnswer: 5189*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 264214 = 3434765\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 59 - 10 = 0. Calculate the highest common divisor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(833)*2*4 + sqrt(833) - -2*sqrt(833)*-6) + 2 + -2)**2.\nAnswer: -42*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -32*i + 11*i**2 - 119 + 32*i + 121. Let f(w) = -6*w + 3. Determine d(f(c)).\nAnswer: 396*c**2 - 396*c + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4351679, -4351609, -4351539, -4351469?\nAnswer: -4351399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 263430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94004332 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*k - 145*k = 146*k + 1116 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 685*c**4\/6 + 239*c**2 + 3*c - 188. Find the first derivative of m(z) wrt z.\nAnswer: 2740*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -9, -64\/5, 0.21, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -299, -312, -341, -392, -471, -584, -737, -936?\n\"Answer: -g**3 - 2*g**2 - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/11)\/b*b**(-5)*b)\/(b**(2\/15)*b**6)*(b\/(b**(-3)*b)*b)\/b*b*b**(2\/9)*b*(b**1)**(2\/25) assuming b is positive.\nAnswer: b**(-11507\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 + (-2)\/((-1168)\/122). Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 12*h**2 - 17*h**2. Let p(n) = 14*n. Calculate p(w(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 2}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64044 and 432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110181.\nAnswer: 3, 19, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(4)\/(sqrt(96)\/sqrt(3)))**2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -2)*-4*3 + -5 + -2)**2 + -3.\nAnswer: -4488*sqrt(19) + 331342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1523 = 2*n - 1406, -o - n + 2927 = 0. Is (-7)\/28 + o\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**2 + 14*b + 1. Let d be a(6). Let r = 11 - d. Is 7 a factor of -4 - r - -1*(73 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 20, 8*r = -6*b + 4*r - 15 + 35 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvdumvuwuu. Give prob of picking 1 v and 1 w.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 119 = n, -n + 1743*l - 10 = 1739*l - 17 + 48 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 - 3*d**2 - 3*d + 1. Let x = -688 + 690. Let j(h) = 4*h**3 + 2*h**2 + 2*h - 1. Calculate x*n(l) + 3*j(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1126*j - 3872 + 1912 + 1957 in the form b + d*j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65446.1 + -65450.958985. Let c = 4.86 + r. What is c rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5, -x + 488 = -3*c + x. Let v = -160 - c. Solve -q = 5*u + v*q + 8, -5*u + 4*q = 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 6, -6 in decreasing order.\nAnswer: 6, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-332)\/108 + -1 - -4. Put -1\/4, -0.1, b, 3 in descending order.\nAnswer: 3, b, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 + 203.4. Let t = -0.038 + 4.238. Let k = r - t. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:25 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -644, -963, -1282, -1601, -1920?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20700\/(-690))\/(2\/(4\/(-6)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29829?\nAnswer: 3, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 - 2 + 3*a - 5*a + 5*a**2 + 4 - 7*a**2 as s*a + y + n*a**2 + x*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 o, and 1 e when four letters picked without replacement from qtaeccqo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:26 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300114 is divided by 14289?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 10 = 5*x - 5*l, x - 10 = -3*l. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/12 + 1\/3. Which is the third biggest value? (a) -4 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 + 6*l**2 + 3*l - 11. Let r(h) be the first derivative of -3*h**4\/4 + 2*h**3\/3 + h**2\/2 - 4*h + 43. Determine 4*n(k) - 11*r(k).\nAnswer: k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976171 is divided by 2489?\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1430\/(-56) + (-4)\/(-14) and (33\/(-18) + -1)*(-18)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211582 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14966 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5193 - 5195. Suppose -5*x - 3*r = 50, -4*x = -3*r - r + 40. Let n = -6 - x. Sort n, -3, v, 5 in descending order.\nAnswer: 5, n, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, 3812, -1\/3, 14 in ascending order.\nAnswer: -1\/3, -0.1, 0.3, 14, 3812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -23.9. Let x = -1 - d. Let m be -3*(-68)\/(-306)*(164\/44 - 4). What is the nearest to -0.2 in 1\/2, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 201 = b, -b + 9*b = -5*k + 1713. Calculate the highest common divisor of b and 7704.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.01, -3, 1249 in descending order.\nAnswer: 1249, 0.4, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1052*j**4 - 10*j**2 + 1059*j**4 - 5*j**2 wrt j.\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2805 and 4301.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 + 259 - 86 - 16279*k - 82 to the form y*k + m and give y.\nAnswer: -16279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**4 - 291*t**3 + 55*t**2 + 119*t wrt t.\nAnswer: -168*t - 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*i - 24, -k + 6 = 3*i - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**(-15\/7)\/(h**2)**(-23\/6))\/(h**(-1)\/(h\/(h\/(h\/(h\/(h**(-1\/15)\/h)*h))*h)))**(2\/151) assuming h is positive.\nAnswer: h**(132446\/15855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4427*d**3 + 8643*d**2 + 11. Let t(p) = 2189*p**3 - 4322*p**2 - 6. Let n(k) = 6*s(k) + 11*t(k). What is the third derivative of n(q) wrt q?\nAnswer: -14898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3 - s**2 + 2*s**2)*(s**3 + 2*s**3 + 0*s**3) + 0*s**5 + s**5 - 3*s**5.\nAnswer: -5*s**5 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 - 101*l + 34 = 0. Calculate l.\nAnswer: -34, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 37.2, 1, -15\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/(-880)*(-28)\/210.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 40 - 41 + 41)*(19*i**2 + 17*i**2 - 15*i**2).\nAnswer: 1827*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*r - 1. Factor 10*l + 4*l**2 - 16*l + 6*l - r.\nAnswer: 4*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 13 + 7. Suppose -2 = y, 2*r + p*y = -r - 74. What are the prime factors of ((-42)\/(-4))\/((-11)\/r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 434 = 476 - 940, -16*i + 88 = -4*l - 164 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26611 and 202475.\nAnswer: 4656925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 5*d. Let r(w) = -14*w**2 - 20*w - 1. Let n(k) = -9*q(k) - 2*r(k). What is n(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(2\/75). Suppose i = u - 1. Suppose 5*z - i = 2*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okrr when four letters picked without replacement from oglkrkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135144 divided by 418.\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -23) + -63 + 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13 - 7 - 7*y + 33 - 13. Let p(z) = 92*z. Determine p(r(v)).\nAnswer: -644*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38358713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7*y - 4*y + 256 = 0, 0 = -5*a + 2*y + 1241. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437879.\nAnswer: 3, 79, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 6, a: 9, e: 4}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140812123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/15 - 514*p**2\/15 - 19252*p\/15 - 36464\/15 = 0.\nAnswer: -212, -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(14\/(-10) + 6\/(-10)). Suppose -4*h = -x*h + 68. What is the units digit of -1*(2 - -5)*h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*2\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18495*j**2. Let m(s) = 72*s - 1. Give m(o(p)).\nAnswer: 1331640*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 - 3*n. Let z be q(-3). Suppose -4*s + s + 9 = 0. Suppose -s*r - r = z. Solve -5 = v - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(147) + -1 + -2)**2.\nAnswer: -42*sqrt(3) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 + 2*m + 8. Let s be x(6). Let w = -647\/4360 - 319\/109. Find the common denominator of w and 384\/s + -1 + 2\/4.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10007455*o**2*z - 40*o*z + 4536*o - 1 wrt o?\nAnswer: 20014910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 8, m: 1, y: 1, b: 1}. What is prob of sequence dd?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 0.4, 62, 8\/3 in decreasing order.\nAnswer: 62, 8\/3, 1, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 17 = -3*i - b, -3*i + 13419 = -4*b + 13420 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -24*c + 13. Let i(q) = -23*q + 14. Let f(n) = -6*i(n) + 7*j(n). Is f(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/162)\/(15\/(-405))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77922119 and 6347?\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 4956.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230.0318 - -229.7318. Let p = -0.2 - -1.2. Let h = 5 - p. What is the smallest value in -1, h, 1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3\/5)*r*r**6)**(1\/23)\/((r**(-1\/3))**(-32)*((r\/((r\/(r\/(r\/r**(1\/2))*r))\/r))\/r)**(-14)) assuming r is positive.\nAnswer: r**(3691\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c = 0. Let r(p) = -10 - 2*p + c + p. Let n be r(-9). Which is smaller: -1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -5, 8 in descending order.\nAnswer: 8, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2613.9 - -830.1. Let g = k - 3443.94854. Let d = g - 0.052. Round d to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4650 and 52545?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0 + 0*q**4 + 1\/30*q**5 + 0*q**3 + 0*q - 2*q**2. Factor x(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + 6*o + 2. Let z be d(-3). Suppose -p + 1 = z*n, -3*n = 2*p - p. Let r be -4*p\/(-30) - 0. Sort -1\/3, 0.2, r in increasing order.\nAnswer: -1\/3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10437?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 339845\/96 + -3540. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881216579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-60) + ((-2)\/(-5))\/(-2). Solve -39*y = -35*y + 5*u - 7, -3*u + t = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75661881 plus -518?\nAnswer: -75662399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2) - 24632\/26) + -2. Let a = x + 949. Is 0 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxxxttxxxxxtx. What is prob of sequence ttx?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152966912?\nAnswer: 2, 3, 43, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6916718 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*y - 32540 = 4226 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4\/t*t\/(((t*t*((t**10*t)\/t)\/t)\/t)\/t*t))**(24\/5)*t\/((t*t**6)\/t*t)*t*(t\/(t**(1\/5)\/t))\/t*(t*t*t**(1\/4)*t*t)\/(t\/(t**6\/t)) assuming t is positive.\nAnswer: t**(-399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -160 in 1\/5, 1, 4, -0.11, -1\/28?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -209, 0.5, 1, -24, -2\/3 in ascending order.\nAnswer: -209, -77, -24, -2\/3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z**(9\/7)*z))\/z)**(-21)*z**8*z**4\/z*z)**(-41) assuming z is positive.\nAnswer: z**(-2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 254 = -22. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*1\/(-2) - (-132 - -35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 - -435. Find the second derivative of -17*j + 10*j + t*j**2 - 15*j - 13*j wrt j.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 v when four letters picked without replacement from {e: 3, v: 4, s: 11}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*u + 89*u - 29*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 42*s - 17. Let a be x(1). Factor -30*n**3 + 178*n + 5*n**5 - 715*n**2 - 18*n + a*n**4 + 555*n**2.\nAnswer: 5*n*(n - 2)*(n - 1)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umw when three letters picked without replacement from {w: 3, u: 2, m: 1, k: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*s + 88*s - 200*s - 14 + 14.\nAnswer: -339*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 103. Let m be 2765\/i*(-24)\/(-14). Is m greater than or equal to 475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -0*m - 4*m + 2*k, 5*k + 257 = 4*m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243e1a (base 16) to base 6\nAnswer: -122524134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - t + 26 = 0, -4*l = -3*l + t + 19. Let k = l - -20. Solve 4*s - k = 3*f, -s - 26 + 10 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13874 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 3. Let o be s(2). Let j be o*(0 + 1 + 9). Is (j - -203) + 2\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 2*o + 7. Let u be t(5). Let i(k) = 6*k**2 + 2. Let v be i(2). Is (v\/4 - 3)*u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11 + 2*b**2 + 0*b + 2*b - 6 to t + w*b + f*b**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/3, -2\/9, 5\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 7*u - 7238. Suppose -j - 2*k = -120, 5*j = k + 116 + u. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -376 + 856. Let v(a) = -4 + 4 - 469*a + 21*a**3 - 11*a**2 + c*a. Let n(z) = 0*z**2 - 11*z**3 - 6*z + 4*z**2 + 2*z**2. Calculate 11*n(f) + 6*v(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -g + 7, 4*g + m - 16 = 67. Suppose -g = -k + 42. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -1, -12, 7, -1204 in increasing order.\nAnswer: -1204, -12, -1, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 606*n - 11. Let a(c) = 303*c - 5. Let o = -37 + 32. Let y(m) = o*a(m) + 3*t(m). Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 8392947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let t(p) = -131482*p**2 + 1521. Let a(d) = -173*d**2 + 2. Let n(z) = -1521*a(z) + 2*t(z). Calculate n(x(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.014 + 0.241. Let h = m + -24.127. Let k = h + 24. What is the biggest value in k, -1\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.8 - 13. Let l = -1 + 6. Let q = -4.8 + l. What is the nearest to -5 in 4, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*p + 12, -12 = -5*x + 7*x - 3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*-1*33\/10593*(-195)\/26?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12885 - 12895. What is the closest to -0.1 in 1.9, z, -12?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*k - 36, k = -o - 0*k + 8. List the prime factors of ((-662)\/o)\/((-12)\/36).\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/335580 and 104\/4935?\nAnswer: 335580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0.1, 2645?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 3c?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1064*q - 154. Let j(m) = 28*m - 4. Determine -231*j(d) + 6*l(d).\nAnswer: -84*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 11) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awvwwwv. Give prob of sequence avvw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1033 - b?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (76 - 76 + 412*z)*(-8 - 4 - 11 + 0 + 2 - 3 + (5 - 3 - 3)*(2 + 2 - 3) + 0 - 2 + 4) as p + r*z and give r.\nAnswer: -9476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 707608 and 5848?\nAnswer: 707608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 3. Let n be t(0). Let l(h) = -n*h + 12*h + 6*h. Let i(w) = 2*w. Calculate i(l(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + o + 1. Let v be y(-1). Suppose -10 = -3*r + 2. Suppose r*m + 2 = -4*f - 10, -2*f = -m - 3. Solve -n = v - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 41*a - 29*a + 69*a + 169 to the form q*a + o*a**2 + y*a**4 + n + m*a**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -5. List the prime factors of (1 + n)\/(2\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -170, -338, -506, -674, -842, -1010?\n\"Answer: -168*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*j + 91*j**2 - 33*j - 90*j**2 in the form a*j + g + i*j**2 and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*l + 200 + 944 = -l. Solve 0 = l*s - 28*s - 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88857580626*y + 88857580626*y + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -27 - -1 - 69\/23. Let w = 23 - 13. Solve -3*v - y + w = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 0.013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2 + 100*d + 76?\nAnswer: -4*d + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 31, 83, 159, 259, 383, 531?\n\"Answer: 12*x**2 - 8*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1319 + 1649. Calculate the least common multiple of 66 and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*u**3 - 80727*u**2 - 2533476*u.\nAnswer: 3*u*(u - 4516)*(6*u + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47000 is divided by 7825?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -461 - -800. Suppose -2*o = c - 425 + 9, -208 = -o - 4*c. Let x = s - o. List the prime factors of x.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 25 + u + 56 + 2*u**2 - u**2 - 8. Let h be x(0). Let p = -221\/3 + h. Which is the third biggest value? (a) -0.3 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 3 = -l. Let n = 198 + l. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -89*y + 15. Suppose z + 1 = -6. Let k be t(z). Suppose 2*l - 1144 = 2*d, 3*l - 4*d = k + 1073. What is l rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0495, 3\/4, 25, 1, -2\/17, 5.\nAnswer: -2\/17, 0.0495, 3\/4, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_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: Express 88*q**2 - 2*q**4 + 6*q**4 - 324*q - 87*q**2 - 3*q**4 - 6 + 4 in the form r + a*q**2 + y*q**4 + p*q**3 + s*q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 15 = 17*z. Let b(p) = -p - 5. Suppose -u = -2*s + 6, -3*s + 11 = 2. Let o be b(u). Is z less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1937496714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135528349 to six dps.\nAnswer: -0.013553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 308612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*80\/(-140)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58473.883 - 58541. Let k = n - -0.117. Let u = k + 67.000073. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130181.\nAnswer: 3, 13, 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**2\/5 + 933741*r - 32681082\/5 = 0.\nAnswer: -1556242, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317733 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -934178 divided by -371\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/3 + 256*f**3\/3 - 1469*f**2 - 73000*f\/3 - 204848\/3 = 0.\nAnswer: -7, -4, 31, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 23 = -5*a + 5*i, -10 = -a - 4*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308100981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/(15\/(-25))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3093*m - 3307*m = -4280 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 700269413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10366.426+19.5\nAnswer: 10385.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*n + 13. What is the greatest common divisor of n and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from ysbbsbsjkssjjssysss?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1393 = -259*q - 12048 - 223 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04983 + -0.15214. Let p = -0.0719 - f. What is p rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c + 13. Let p(h) = -h - 3. Let r be p(-6). Let u = r + -3. Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 1071, 3176, 7133, 13560, 23075?\nAnswer: 36296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 2*j**2 - j**3 + 2*j**2 - 2*j**4 as z*j**4 + m*j**2 + q*j + k + x*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 4 = 0. Suppose 9 - f = 4*z. Suppose v = -5*b - 0*b - 15, 2*v + 12 = -4*b. Solve k = -z*u - v*u - 9, 17 = -3*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5073.\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 28 = -4*g. Let f = -22 + g. Is (0\/3)\/(-2) - f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - -428. Let h(k) = 7*k**2 - 29*k - 17. What is the tens digit of h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/3)*c\/(c*c**(5\/6)))\/(c\/(c\/(c\/(c*c\/c**(-1)))))**(-6\/35) assuming c is positive.\nAnswer: c**(11\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/t)\/(t\/t**4))\/(t**(2\/13)\/(t**0*t)))**49 assuming t is positive.\nAnswer: t**(1176\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16a05b5 + -5?\nAnswer: -16a05ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103010 - -3?\nAnswer: -103001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 39, 129, 263, 441, 663, 929?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14780505?\nAnswer: 3, 5, 79, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 12*q**2 - q**2 + (q - 1 + 1)*(10 + 2*q - 10).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 3515, 11698, 27585, 53744, 92743?\nAnswer: 147150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 8 + 2010*o + 23 as w*o + g and give w.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54*u**3 - 40*u**3 + 2*u - 25*u**3)*(-2 + 8 + 49) to the form h*u + q*u**2 + k*u**3 + y and give k.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-2016)*((6\/(-84))\/(16\/(-1400)) - 7)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316 + 318. Which is the nearest to 2\/7? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 37*i**2 - 1196*i - 12463. Calculate x(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 13. Is k(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 21. Let y(h) = h + 1. Let i(k) = -j(k) - 4*y(k). Let n be i(-13). Suppose n*q - 8*q + 32 = 0. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1599, 7144, 16381, 29328, 46003, 66424, 90609?\nAnswer: 118576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, m: 1, x: 2, v: 1, h: 1}. What is prob of sequence vc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147 + (0 - (-5)\/5).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/95 - -119\/1140. Let f be (-8)\/(-28) + (-5)\/(-105). Which is the biggest value? (a) 12 (b) f (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 h, and 1 o when four letters picked without replacement from oquhooquhhuq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16800 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206460*k**4 + 28694*k wrt k?\nAnswer: -2477520*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b7 - b8?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1696?\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 + 69*v - 20. Let q(h) = 32*h - 20. Calculate q(b(t)).\nAnswer: 256*t**2 + 2208*t - 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:50 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8086 + -5370. What are the prime factors of m?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - (sqrt(242) + 1 + sqrt(242) + 2)))*-6 + sqrt(242) + sqrt(242) + sqrt(242)*-2 + sqrt(242) + -2 + -1)**2.\nAnswer: 5082*sqrt(2) + 29723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 + 9*k**3 + 421 + 6*k - 421.\nAnswer: 21*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 30*o**2 - 201*o + 11. Let s be t(10). Which is the nearest to s? (a) -4 (b) 0 (c) 5 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - z - 8. Suppose -2*g = -0 - z. Suppose -i + 44 = h + 1, g*h - i = 77. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 take away -271089212701?\nAnswer: 271089213843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -101 - 3b?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117023.\nAnswer: 117023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(208).\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -392, -1080, -2072, -3368?\n\"Answer: -152*y**2 - 232*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018262 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 27*r**2 + 27*r + 13. Determine t(26).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10098, -17095, -24092, -31089, -38086?\n\"Answer: -6997*y - 3101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-1\/42)*m**(5\/3)*m**6)**25 assuming m is positive.\nAnswer: m**(2675\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78356, 77772, 76242, 73292, 68448, 61236?\n\"Answer: -79*b**3 + b**2 - 34*b + 78468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*j**4 + 3756*f*j**3 - 30*f + 19*j**4 - 44*j**3 + 1644*j**2 - 33*j wrt j?\nAnswer: 24*f*j + 22536*f + 456*j - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 263\/(127292\/(-1210))*((-48)\/130 - 0).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240657*c = 240575*c + 4346 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 2 + -1 + -24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10750*b + 21519. Determine d(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9252441 is divided by 44270?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -439\/2 (b) -1.08 (c) 1\/4 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359070?\nAnswer: 2, 5, 19, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, e: 4, n: 4, x: 1, a: 1, j: 1}. Give prob of sequence xa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282924790?\nAnswer: 2, 5, 571, 49549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**(-1\/32)\/(a**(1\/2)*a*(a\/a**(3\/5))\/a)*a\/a**(-5\/3)*a*a**(3\/8)*(a**(2\/5))**30 assuming a is positive.\nAnswer: a**(3631\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344583587796 + 8.\nAnswer: 344583587804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 205447 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 22. What is the remainder when (((-4)\/(-6))\/((-4)\/(-14)))\/(3546\/244674) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j, 8 = n - 5*j. Suppose 55*y - 59*y = -n. Let g be (4 + -1)\/(6*y\/12400). Round g to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 9*t + 6. Calculate i(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314 a factor of 51667794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 20*t + 15. Suppose 2*z - 44 = -2*z. Let y be r(z). What is the units digit of -1 - y\/3 - (-10)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7 (b) 0.0778 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912a (base 16) in base 15?\nAnswer: 20668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -0*x. Calculate the least common multiple of 10 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = 3*t + 3*z, t + 167 = 4*z - 32. Let m = 232 + t. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 3. Let j(l) = -l**2 - 4*l + 1. Let v be j(c). Solve v = -3*g - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1107.99995948 - -1108. What is q rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*r - 170*r + 42 = 0. Let v be (-5 - (3 + 0))*3. Is v greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60987284623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5349 * 1\nAnswer: 0.5349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 1917*k + 6 + 4 + 7 - 1917*k + 3840*k.\nAnswer: 6*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r + 700 = 117*r - 104*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10844, -43503, -97948, -174185, -272220?\n\"Answer: -t**3 - 10887*t**2 + 9*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, 186, -110, -388, -642?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 46, 75?\n\"Answer: 29*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -116955 = -116958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73578 by 24526.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 8*a**2 + 3*a**2)*(-2*a**3 - 5*a**3 + 3*a**3).\nAnswer: -48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - b**5 - 2*b**5 - 948*b + 948*b - 20*b**5 + 2*b**5 + 4*b**5 - 4*b**5 + 0*b**3 + 0*b**3 + b**5 + (b**4 - b**4 - b**4)*(b + 4*b - 3*b).\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/48*4*56\/462.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/12*f**5 - 1\/24*f**4 + 0 + 0*f + 2*f**2 + 0*f**3. Calculate p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.052 - 51.948. Let w = v + 50.7. Let j = w - -0.8. Which is the closest to -2\/7? (a) -0.4 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1842 + -1211. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/8 + 15*r**2\/4 + 39*r\/8 - 33\/4.\nAnswer: -3*(r - 11)*(r - 1)*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-2\/7)*a**(-1\/7))\/(a*a*a\/((((((a**(-2\/7)*a)\/a*a)\/a*a)\/a)\/a)\/a))**(2\/19) assuming a is positive.\nAnswer: a**(135\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l**2 + 4*l**2. Let a(h) be the third derivative of h**4\/6 + 967*h**2. Calculate a(t(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*g = -4725 + 404 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 285 = 3*t - 6*t, 293 = -4*q + 5*t. Is 16\/q + ((-51265)\/9)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 6. Let h be v(-5). Suppose -h*x + 5*q + 332 = 0, -q + 6*q = -3*x + 249. Let s = x + 7. Calculate the greatest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (5 - (-2 - (6 + -6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29087)\/(-10) - ((-1491)\/70 + 21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -391*l - 1830 + 657 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18148 and 108.\nAnswer: 489996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64912877 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 404 = -8*t. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -306, -368, -404, -420, -422?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 5*a - 3*a - a + 1 - 1 + (-a + 5*a - 5*a)*(2 + 2 - 3) - 4 + 4*a + 4.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + k - 6, -5*d - 5 + 35 = -5*k. Suppose 2*j = -3*g - 10, 4*j + g + 10 = -0*g. Sort -3, d, j, -4 in decreasing order.\nAnswer: d, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89389\/6975 + 316\/25. Find the common denominator of r and 79\/18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 5 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -363895 and -5.\nAnswer: 1819475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let j be m(0). Find the common denominator of 276\/54 - 1\/j and -16\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 2*y + y + 5*y. Let q(d) = -3*d. Give w(q(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 9. Let k be n(-4). Suppose -3*b = -0*b - k. Suppose b*v - 2032 = 3*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299128760?\nAnswer: 2, 5, 5521, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*z = 2*z - 40, -3*w = -3*z - 30. Let o(b) = 4*b**3 + 6*b**2 + 6*b + 3. Is o(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9636308 to the power of 1\/2, to the nearest integer?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30*((-16)\/5 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274 and 30551.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/70 + 41*l**6\/120 + 2015*l**3\/6 - l**2 + 645*l. Find the first derivative of c(g) wrt g.\nAnswer: 12*g**3 + 123*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*s - 14, 2*z - 3*s - 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1200) - (-6*sqrt(1200) + sqrt(1200))) + sqrt(12))\/(sqrt(4) - (sqrt(144) - -1*sqrt(144)) - sqrt(4)))**2*-5.\nAnswer: -20765\/48 - 305*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 85 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 10*x + 4. Let j be p(-10). Let m = 58 - j. Suppose a + 30 = 2*d, -2*d - 7*a + 2*a = -m. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-1 + 0)\/1. Suppose d - 18 = -2*g - 3*g, -3*d - 3*g = -6. Let s be d + (-1 + j)*-1. Solve 6 = s*f - 0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.9309962 milliseconds in weeks?\nAnswer: 0.0000002809705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*v + 21532 - 15272 = -43731 - 67008 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 3*l - l - 0, l - 3*l = 116*r - 358 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2344310 - 130?\nAnswer: 2344160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237076*(-192)\/(-504) + -8*(-1)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -72. Let g = 47 - n. Suppose -4*r + r = -21. Calculate the remainder when g is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.067 - -26.933. Let f = 26.37 - u. Let i = f - -9.43. Round i to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -33. Which is the nearest to p? (a) 4 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.35 - 14. Let c = n - 0.3. Let l = c - 0.15. What is the nearest to l in 4, -5\/3, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 + c. Suppose 4*d - 7 = -5*i, 3*i = -2*d + 2 + 1. What is q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-3)\/(-3)*2\/(-84)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 - 6*n - 22. Determine t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-102)\/(-306) + 20868\/9 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 7*s - 2*y - 289, 3*s = y + 287. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 - 3 = 0. Suppose -35 = -i*s - 11. Suppose 8*x - s*x - x**4 - x**3 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 81 = 55. Let s(v) be the second derivative of v**5\/20 + 2*v**4\/3 + 5*v**3\/3 + 11*v**2\/2 - 10*v. What is the remainder when s(-6) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -12, -48, 1, -1\/6?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9546.621cm to kilometers.\nAnswer: 0.09546621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16891 = -6*u + 16915. Solve d - 4 = -u*v, 0 = d - 6*v + v + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1967 - 73 + 400)*((9*t**2 - 21*t**2 + 10*t**2)*(-t**2 + 2*t**2 + 0*t**2) - t**4 + 3*t**4 - t**4 + (-1 + 2*t + 1)*(3*t**3 + 2*t**3 - 6*t**3)).\nAnswer: -6882*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36239\/(-2338))\/(31\/(-176)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.685 - -46. Let x = -3954.24 + 3954. Let v = x + q. What is v rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*b**2 + 109 wrt b?\nAnswer: -120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 55.8. Which is greater: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -39, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r - 4. Let t = 7 - 1. Let u be o(t). Suppose -4*d + 154 = -3*w, -2*d - d = -2*w - u. What is the highest common factor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - k**2 + (-4*k + 3*k + 3*k)*(-2*k - 4*k + 5*k) - 3*k**2 + k**2 + k**2 + 2 - 608*k**2 + 194*k**2 + 314*k**2 + 16*k.\nAnswer: -104*k**2 + 16*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796068 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1153, -2, 11, 176 in ascending order.\nAnswer: -1153, -2, 11, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96\/252*6 - (-2 + 4). Factor 0*p + 0 - f*p**2 - 2\/7*p**3.\nAnswer: -2*p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 - -216. What is the smallest common multiple of k and 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840497847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 84*k**3 + 72*k**3 + 7*k + 17*k**3 - 7*k - 6 to l*k**2 + x + b*k**3 + t*k and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*b = 2*t - 571*b - 6, 0 = -t + 5*b + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 40*c - 33. What is the hundreds digit of d(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 22*o**4 - 74*o**3 - 90*o**2 - 36*o = 0. Calculate o.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97273195*n**4 - n**2 + 58*n + 516998 wrt n.\nAnswer: -2334556680*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:04 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.07 (c) -21 (d) -0.068 (e) 2 (f) -8\/289\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 902 + -2927\/4. Which is greater: k or 170?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2420, -4752, -7068, -9368, -11652?\nAnswer: -13920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4883329 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -630, -151, 1152, 3693, 7886?\n\"Answer: 69*o**3 - 2*o**2 + 2*o - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from zygayayygaygagya.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-60))\/((-2)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -q + 4, 500 = -7*q - 5*t + 528 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 487730, 975461, 1463192?\n\"Answer: 487731*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-3760)\/(-15) + 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = 0, 0 = -h - 4*h - 3*a + 30. Suppose -5*p + 54 - 8 = h*r, 5*r + 15 = 0. What is the second derivative of -6*g - p*g**3 - 6*g**3 - g**3 wrt g?\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 222 = -5*c - 2*p, 4*c = 2*p + 420. Suppose -898 = -27*a + 42*a + 122. Let t = c + a. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 - 2610 = -j. Suppose 69*n - 78*n + j = 0. What is the greatest common factor of 28 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 - l**2 + 3. Let n be c(-2). Suppose -109 = -3*o + n. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*s**3 + 285*s**3 + 0 + 244*s**3 + 3 + 12 + 12.\nAnswer: -14*s**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -419 + 66*z + 419 to s + d*z and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/2 (b) -2 (c) -0.1 (d) 1 (e) -2\/1105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500605234 to the power of 1\/2, to the nearest integer?\nAnswer: 38738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let z = -3 + 11. Suppose 0 = -t - 3*t + z. Let p(j) = 1 - 302*j**2 + 320*j**t - 1. Give l(p(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1394, -2431, -3468, -4505?\n\"Answer: -1037*c - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20358.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l - 197\/2*l**4 + l**2 + 2\/3*l**3 - 5. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*t + 42*t. Solve t = 5*v - 1 - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -929.72 to the nearest 10.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(6 - 0 - 5). Suppose -4*f = -0*f. Factor f*c - 4*c + 3 + 0*c - 2*c + 3*c**a.\nAnswer: 3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18237 - 18237.7703. What is j rounded to 2 dps?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 180. Let u(h) = 2*h - 184. Determine 3*f(j) - 2*u(j).\nAnswer: 5*j - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268955 divided by 15.\nAnswer: 53791\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296 + -295.999999364. Round r to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7265110 and 8905.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -115*d - 914. Give u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.92604 times -0.1?\nAnswer: -4.892604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 25*w - 22*w - 24, 5*f = 5*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209853 - -1259119\/6. Let w = -7123\/19 + 375. Sort 3, -2, w, o.\nAnswer: -2, w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**3*v - 9433*s**3 + 2*s**2*v*z - 298*s**2*z - 52984*s*v wrt v?\nAnswer: 3*s**3 + 2*s**2*z - 52984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}