diff --git "a/data/dm_maths/full_data_2/1700_11255.jsonl" "b/data/dm_maths/full_data_2/1700_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1700_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express -38488*x**2 + 2*x**3 + 14*x**4 - 21*x**4 + 38501*x**2 in the form p*x**3 + r + w*x + v*x**2 + l*x**4 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492*z - 1671*z + 390 + 8736 = 355 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*t - 24, 0 = o + t - 6*t + 22. Suppose -5*u + 5*l - 35 = 0, -5*u + 15 = -l + 42. Which is the second smallest value? (a) o (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 51 + 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 2*x**2 - 2. What is the remainder when y(2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/240 + p**4\/32 + 3*p**3\/4 - 10*p**2 + 10. Factor o(b).\nAnswer: -(b - 6)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 995374 + -1682274. Round t to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76 + 3*c**5 + 9*c**6 - 8*c**6 + 77 + c**2 wrt c.\nAnswer: 120*c**3 + 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-2)\/(-14)*(-22)\/(-88).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 7 - 16) + (-15 - (-6 + 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/25, -11972, 1, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q + 2. Suppose 0 = -s + 4*c + 5, -2 = -c + 3*c. Let h = s + -4. What is the units digit of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 4. Let t(q) = 13*q + 7. Let u(m) = -3*t(m) - 7*x(m). Differentiate u(k) with respect to k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -46*f + 44. Let d be 2\/6 + 2\/(-6). Solve d = -2*c + 3*c + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5644167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 469924 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 215, 322, 429?\n\"Answer: 107*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 1 - 11*o**2 + 1 - 2*o.\nAnswer: -10*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/(-1))\/((-1958)\/(-50908))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 11 - (29 + -1)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 31*n + 22. What is the remainder when 118 is divided by l(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18472 - 8884. What are the prime factors of b?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -3 - 14 - (20 - (8 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -214*(5 - 1)\/(-8). Suppose -2*y + l = 37. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -11, -1, -0.1, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63139, -126149, -189163, -252181?\n\"Answer: -2*t**2 - 63004*t - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -22. Let h = l + -2.1. Which is the third smallest value? (a) h (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107973 divided by 5.\nAnswer: 107973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7290 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 - x + 4. Let s be l(5). Let u = 43521 + -43523. Which is the nearest to s? (a) 4 (b) 10 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y**2 - y + 2. Let w be p(-1). Calculate the greatest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2344 divided by -8\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 15 = 2*r. Suppose -4*c = -x - 9, 2*x - c = r*c - 6. Solve -x*n - 8 = -4*o, 41 = 4*n + 7*o - 2*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1949308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1054, 3, 206, -29 in decreasing order.\nAnswer: 1054, 206, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 974\/12 - (-2)\/(-12). Let m = -1479 - -1482. What is the highest common divisor of m and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -153. Is 2\/5 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254938 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 - 12*u - 13. Let z be h(3). Let c = -20 - -5. Sort c, -4, z in ascending order.\nAnswer: c, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 395, 414, 433?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 76*o - 6. Let v(l) = l - 1. Calculate -6*v(y) + z(y).\nAnswer: y**3 + 70*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382429 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from nqditkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 10. List the prime factors of y(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -895, -903, -925, -967, -1035?\n\"Answer: -l**3 - l**2 + 2*l - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/6 (b) -3 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37080 (base 9) to base 7.\nAnswer: -132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0 + 8\/13*v**2 + 2\/13*v**3 + 8\/13*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*p**3 + 646*p**2 - 44*p**4 - 1745*p**2 - 1454*p**2 - 25*p**3 wrt p.\nAnswer: -1056*p + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -127*a - 63*a**3 - 40*a**3 + 3 + 102*a**3 + 23*a**2. What is the remainder when d(12) is divided by -2 + 1 - -7*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 10 - 2. Suppose 0 = -0*l + u*l + 15. Let a be -10 - -13 - 0\/1. Sort l, a, -4 in descending order.\nAnswer: a, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3 + 8. Suppose 4*b + 369 = -3*s + 17, -n*b = 2*s + 447. What are the prime factors of b\/14*(1 + -5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 14*x + 15. Let i be v(9). Let z = -57 + i. Let l = -8 + 5. Sort l, 4, z in increasing order.\nAnswer: l, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60432*a**3 + 84*a**2 + 114?\nAnswer: 362592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(288)*-1 - -2*(-2*sqrt(2) + 3).\nAnswer: 6 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Suppose 3*u - 18 = 2*f, 0 = 2*u - 4*f - 12 - 8. Find the second derivative of -2*n - u*n**3 - 4*n**j + 4*n**3 + n**3 wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2550, 2550, 2552, 2556?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 4*c + 7*c**2 + 5*c - c.\nAnswer: 4*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -210021?\nAnswer: 211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 0*j - 4*j + 5*j - 2*j**3 + 1 to the form z + q*j + r*j**3 + v*j**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*-2*45\/(-180).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 35 - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.0598 millennia in years?\nAnswer: 572059.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 188237120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 23 - 20*f - 23 in the form u + i*f and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-19*k**2 + 11*k**2 + k**2) + (-6*k**2 - k**2 + 3*k**2)*(-1 - 2 + 4) to the form v*k**2 + t + m*k and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-4)\/2 + 12. Suppose c*w = 14*w. List the prime factors of w + 43 - (9 + -10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21150486 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4348 + -4347.84546. Let y = h + 4.05396. Let m = y + -4.2. What is m rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-26) - -4)*(-28)\/14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 27. Let l(z) be the first derivative of z**2\/2 - 2*z + 5. Give 2*k(y) - 27*l(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4456*i**6 - 2*i**5 - i**4 - 1670*i**2 - i - 2.\nAnswer: -534720*i**3 - 120*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 - 8 - 9 - 218*o**2 - 48 wrt o?\nAnswer: -436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 20. Let x = -8.9995 - c. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by (-224)\/(8\/(-4))*1.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -494*m - 268. Calculate s(-2).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/16 + 69*u**3\/8 - 120*u**2 + u + 19. Factor k(x).\nAnswer: -3*(x - 64)*(x - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-120)\/(-160))\/((1\/116)\/1) and 21?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 7744.\nAnswer: 7744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 14540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - (-3 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbbv when four letters picked without replacement from {v: 3, b: 4, n: 7}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-116)\/(-14) + 22\/(-77). Let q = 45 - j. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 3. What is the closest to f in -1\/2, -2, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 24*v - 9.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -7. Calculate the remainder when q is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 12 = 4*y, 0 = 4*y - 4*x + 16 + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.990401 milligrams to kilograms.\nAnswer: 0.000007990401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l - 8*l - 96 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78b (base 15) in base 6?\nAnswer: 11522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 + 11*x - 3. Give d(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2 - 2)\/164). Suppose b = -3*m + x, -2*b + 14 = -5*m - 35. What is the remainder when 54 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97.7 - 7692.3838\nAnswer: -7594.6838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.107 (c) -5 (d) 0.2 (e) 1 (f) -172.45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*r + 20 = 4*c - 195*r, 5*c - 9 = -3*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5106, -10319, -15632, -21051, -26582, -32231?\n\"Answer: -j**3 - 44*j**2 - 5074*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1320787272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -995 - -2594. List the prime factors of x.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 532 = -4*h - 113, -2*h - 285 = 5*b. Let i = 153 - h. What is the greatest common factor of 28 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -698, -694, -688, -680?\n\"Answer: u**2 + u - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 12, h: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, -13 in descending order.\nAnswer: 4, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 18*u + 324 = 0. Let f be u\/120*(-1 - 22\/(-12)). What is the closest to -0.1 in -3.2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z - 4*z + 13 + 3*z - 5*z. Let c be o(10). Let t = 0.04 + 0.16. Put t, -3\/5, c in ascending order.\nAnswer: -3\/5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.5 + 59.5. Which is the biggest value? (a) -4\/7 (b) 0.4 (c) o (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 1, o: 3, s: 3, g: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 63. Let w = 36 - f. Solve -w*c - 2*i = -19, 0 = 2*c + c - 5*i + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15632927 and -15632931 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566853.\nAnswer: 3, 7, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 3*f**2 - 2*f - 3. Suppose -6*q = -q + 3*a - 50, 0 = -2*a. Calculate the lowest common multiple of q and t(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:11 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671449*w - 43 + 11 + 17 + 15.\nAnswer: 671449*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 271978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:38 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458*z - 395*z - 68155 = -5026 + 56697 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48368*b**3 - 24176*b**3 - 24186*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69.31 - 1.69. Let p = -1089676801 - -1089676729.9999969. Let z = i - p. What is z rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 60. Let r be (18 - 1) + (-5 - -2 - 0). Suppose z = -r*y + 19*y. Solve y + 1 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) 3 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212200 + 111?\nAnswer: -212023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.3275 nanoseconds to microseconds.\nAnswer: 0.6393275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16100 times -1675\nAnswer: -26967500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 3*y - 10741 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7768 + 13295. Suppose 0 = -c + d + 41173. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204400, 409504, 614606, 819706, 1024804, 1229900?\nAnswer: 1434994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/530 and 94\/1575?\nAnswer: 166950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by -5.\nAnswer: 396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -210001542 (base 6) to base 8\nAnswer: -15704446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135 + 1?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/15 (b) 0 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53129462.8 rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -1\/6, -1.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.755 - 0.155. Let n = i - -0.9100053. What is n rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + 3*v**4 - 2*v**4 + (-5*v + 2*v + 4*v)*(-3*v**3 + 2*v**3 + 4*v**2 - v**2).\nAnswer: 2*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15726865*y + 9304335 wrt y.\nAnswer: -15726865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/5 + 71457*u\/5 + 10624892\/5 = 0.\nAnswer: -71308, -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286089 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (40\/50)\/(34\/255))*(-1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -3, 811 in descending order.\nAnswer: 811, 12, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - k + 25. Let i be u(-6). Which is smaller: i or -23\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17739 - 17669 = -10*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 238 + 24*j + 36*j - 10*j - 233 as q + v*j and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 51*i**2 + 32*i + 7315. What is z(47)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2605 - -1848. Let d = 756.8 + z. Which is the second smallest value? (a) 6 (b) 12 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q**3 - q**3 - q**3)*(110 - 285*q - 56 - 54) to the form y*q**3 + v*q**2 + n*q**4 + i*q + p and give n.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65655302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270828.\nAnswer: 2, 7, 81101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < -1501\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 0*k**3 - 4372*k**2 + 4372*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6477, 6480, 6483, 6486, 6489, 6492?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2. Let n(y) = -y**2 - 150*y. Let v be n(0). Let c(t) be the third derivative of -1\/6*t**4 + 0*t + 0*t**3 + v + 19*t**2. Calculate c(f(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266753 - 25?\nAnswer: 266726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -787952*n - 21274697. What is h(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)\/i**(1\/7) assuming i is positive.\nAnswer: i**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 9*k = -4050 - 6528. What are the prime factors of k?\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17010 + -4303512\/253. Is 1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 528 = -c, -65 = -3*b + 5*c + 243. What is the third derivative of 106*k**3 + 3*k - k**2 - 50*k**4 + 6*k**2 - b*k**3 wrt k?\nAnswer: -1200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 20. Sort 0, 4, l.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 5, s: 1, m: 1, v: 6, i: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-48)*(-18)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1323 - 1319. Solve -y*b - 15 = i, -4*i - 11 - 5 = 5*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -36*b**2. Let d(y) = -y - y + y - 3*y. What is r(d(c))?\nAnswer: -576*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 + 3*j + 6. Let k be r(4). Let a be (1 + -6)*6\/5. Let o = a + k. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3 + 2319*f**2 + 6*f + 1 - 20 + 22233*f**2. Let a be z(-9). Suppose 1611358 + a = 5*u. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -498 + 961. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*n + 126, 43 = 5*r - 2*n + 237. What is the common denominator of 39\/14 and -4 + (108\/r)\/(-9)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 8 = 8*t. Let a(c) = -1 - 9*c**2 + t*c**2 + 3*c**2 + c**2 + c. Let m(y) = 3*y**2 - 2*y + 4. Determine -4*a(z) - m(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/4 + (-3 - -1). Suppose -q = -3*h + 8. Suppose -4*r - 37 = -h*g, 2*g = -r - 2*r + 1. Solve 5 = -u + n + 3, 12 = -g*u + 4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Suppose 46063*p - 46062*p = 0. Let v(b) be the second derivative of 0*b**3 + p*b**2 + 1\/3*b**4 + 0 + b. Determine v(z(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 2, i: 1, c: 5}. What is prob of picking 1 c and 1 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2165 - 2127. Solve u*d = 39*d - 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**2 - 2. Let j(q) = 10*q**2 - q - 2. Let b(d) = 2*j(d) - 3*x(d). Let g be b(-9). What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13195 and 11977.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 338*n**4\/3 - 823*n**3\/6 - n**2 + 2*n - 72. Find the second derivative of p(s) wrt s.\nAnswer: 2704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -8 - 986. Calculate the remainder when p is divided by 50.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-180)\/(-8))*-5. Put 5, 4, 3, u in decreasing order.\nAnswer: 5, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4)*-5)\/((sqrt(14)*-1)\/sqrt(7)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19a99 - b?\nAnswer: 19a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 7*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 419911*x = 419913*x + 24, -38 = a + 14*x for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 142907?\nAnswer: -1429070","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 + 5. Let g(p) = 61*p**2. Give g(v(j)).\nAnswer: 549*j**4 - 1830*j**2 + 1525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-23*y**2 - 9*y**2 - y**2) to x*y**2 + s + g*y and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = d + 4, -5*m + 10 = 2*d. Solve o - 5 = -d*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:41 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 80647*s + 403260.\nAnswer: -(s - 80652)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g, 2*g = 4*i - 24. Suppose 0 = m + i - 14. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/8 and 51\/1888.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 34*b**2 - 160*b - 168.\nAnswer: 2*(b - 21)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296 + 294. Let t be d\/7 + 3\/(-42)*-508. What is the highest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3\/2 (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7173235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -56\nAnswer: -141\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.3955 hours in nanoseconds?\nAnswer: 509023800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05833 from -0.0018.\nAnswer: 0.05653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 = -169*v + 3252 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -30*f + 13*f + 5*f + 10*f. Let r(u) = 15*u + 4. Give r(w(n)).\nAnswer: -30*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*k + 147*k = 15. Solve -3*s + 4*s = k*y + 1, -4*y - 12 = -4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 70 in descending order.\nAnswer: 70, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -z - 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111155 + 235155. Suppose -22*i = -23*i + l. What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399\/5 + -80. Let y = -510 - -510.4. Let g = 10 - 10.3. Which is the third biggest value? (a) y (b) t (c) -5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -5*j, 5*g + 0*g - 3*j = 15. Factor -5*x**2 + 14*x**g - 7*x + 15*x**2 + 11*x - 6*x**3 + 2*x**4.\nAnswer: 2*x*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 15.015 (c) -0.5 (d) -23.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -3424?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2. Let l(z) be the first derivative of 5*z**2 + 24*z - 64. Let n(o) = 4*o + 10. Let k(v) = 5*l(v) - 12*n(v). Give k(g(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36041710.\nAnswer: 2, 5, 881, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r**2 + 2)*(250 - 235 + 319).\nAnswer: -668*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*z**2 - 1175*z**2 + 420*z**2 + 5*z - 5*z.\nAnswer: -571*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (27 - 65) + (8 - 0) + (47 - 55)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 254*n - 7449. Calculate i(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)*q)\/(q**(-1\/6)\/q)*(q*q**(1\/7))\/q*(q\/(q*q\/(q*q**(-1))*q*q))\/q*q assuming q is positive.\nAnswer: q**(-293\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 + g**2 - g - 3. Let f be i(-3). Let r be (5\/(-2))\/(12\/f). What is the greatest common factor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 820352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-208 + 208 + 21*o**2) to p + g*o + q*o**2 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 3*r + 465, 0 = 5*r + 15. Suppose -3*a = -2*t - 3 + h, -a = t - 48. Let g = -13 + t. Calculate the remainder when 112 is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*-5*((sqrt(396) + 2)**2 + sqrt(11)*2 + 3).\nAnswer: -24180 - 1560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/740 and 9\/1036.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2151, 2208, 2301, 2430, 2595, 2796, 3033?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:15 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 20. Suppose 3*n - 25199992 = 2*n - l*w, -2*n + 5*w + 50400010 = 0. Round n to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:25 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 2*o + 3. Let i(l) = 7*l**2 + 8*l - 12. Let z(q) = -2*i(q) - 9*w(q). Determine z(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/175376 + 440733\/402137168. Let y = p - 14735\/2999244. Let h = y - -27929\/6540. What is the common denominator of h and -9\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-4) + 1\/4. Suppose 0 = -j*q + 2*q + 3. Let z = 1 + q. Calculate the highest common divisor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 114*a - 160*a + a**3 + 57*a**2 - 29*a**2.\nAnswer: a**3 + 28*a**2 - 284*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*5\/((-30)\/9). Suppose 0*b - 90 = -t*b. Solve -5*w + b = -5*v, -5*w - v - 4*v = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (1*sqrt(1216) + 3 + sqrt(1216)))*-1)**2*1.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-3\/4)*g))\/g*g**6*g*(g**8*g)\/(g\/g**(1\/10)) assuming g is positive.\nAnswer: g**(297\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -224, -930, -2108, -3758, -5880, -8474?\n\"Answer: -236*l**2 + 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.89 + 0.11. Suppose 0 = -3*z + z - 6. Which is the nearest to d? (a) 4 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*o - 1, -4*l + 4*o = -4 - 12. Let n = 583 + -848. Let q = n + 3443\/13. Which is the third biggest value? (a) 2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 1. Let f(i) = 11*i + 1. Suppose -59*k + 63*k = 28. Determine k*a(d) - 4*f(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*(-1434)\/(-60) - (29 - (-8155)\/(-280)).\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (-11 + -16 - 50)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 19*m + 37. Let w = 8 - 2. Suppose w*c - 34 = 4*c. Let f be k(c). Solve 0*d - 2*g + 10 = -f*d, 0 = -d + 4*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l - 51. Let i be m(15). What is i rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69270 and 0.05?\nAnswer: -3463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:17 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Suppose 0 = 4*k - 3*c - 18, 19 = -5*k + 18*c + 70. Let s(l) be the third derivative of 0 + 0*l**k + 0*l - 2*l**2 - 1\/12*l**4. Determine g(s(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 83*v**3 - v**2 + v + 1. Suppose -12*f - 14*f - 26 = 0. Give h(f).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/120 + 19*a**4\/24 - 5*a**3\/6 - a. Let u(w) be the second derivative of h(w). What is the tens digit of u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5667\/10 + -571. Find the common denominator of t and (114\/24)\/((-24)\/80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (-14 + 4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**34\/y))\/y)\/((y*y**(-21))\/y) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4414052, -4414041, -4414026, -4414007, -4413984, -4413957, -4413926?\n\"Answer: 2*r**2 + 5*r - 4414059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-1)*6\/(-8). Let n = x - 6. Let a be 1 + (2\/2 - 3). Sort a, n, -4 in ascending order.\nAnswer: -4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -80*u + 2788. Calculate g(35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17561.\nAnswer: 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 10. Let g be d(-6). Solve 4*p = -5*q + 1, 2*p + 3*q - g*q + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 116*s**2 + 20*s + 985. Give w(-116).\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*d + 71*d - 15 + 4 - 166*d - 90*d.\nAnswer: -252*d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -51\/7 + 3\/7*x**2 - 48\/7*x = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5792512 and 3066624.\nAnswer: 52132608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/83588 and -77\/83588?\nAnswer: 83588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 2\/27, 0.24?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5*x**4\/24 - 116*x**3\/9 - 2737*x**2\/12 - 529*x\/3 - 23. Factor t(p).\nAnswer: -(p + 23)**2*(5*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*u**5 + 2277*u**4 - 233*u**2 + 1180?\nAnswer: -1860*u**2 + 54648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2446079 and 323.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.31. Let l = -4.07 + 3.87. Sort 0.6, l, t, 1\/4 in decreasing order.\nAnswer: 0.6, 1\/4, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 84 + 59. Let j = a - 139. Suppose 2*w = -3*c + 244, 656 = 3*w + 2*w - j*c. Calculate the remainder when w is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.658 - 0.658. Which is the second smallest value? (a) q (b) 3\/5 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 7:35 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16 = -5*q, -5*q - 11 = -4*o - 0*q. Let i be (-2 - 1) + o + 6. Solve 0 = -r - i*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + h - 3*h - 16*h**2 - h**3 + 18. Let v be z(-16). Determine c, given that 0*c**v + 3*c**3 + 4*c**3 - 4*c + 16 - 3*c**3 - 16*c**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6*l = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/15 - 111*i**2. Let q(b) = 6*b**2. What is q(c(x))?\nAnswer: 96*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*y + 82339, 9*x - 5*y - 167654 - 79407 = 0. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000011110100100110 + -1011?\nAnswer: -1111000011110100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -1, -16, -47, -100, -181, -296, -451?\n\"Answer: -h**3 + h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 23. Let p(x) = x - 5. Let q be p(7). Suppose -q = -l*r + 13. Solve -24 + 7 = -4*t - 3*g, r*g = 2*t - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2149902.7 - -2149560.69482. Let w = q - -342. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 598844 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 9*k**2 + 7*k - 9. Determine a(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*i + 12 + 5, -4*i + 4 = -2*c. Let p = 7 + i. Calculate the remainder when 10 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.1445857 to three decimal places.\nAnswer: 47.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3\/8 - 3087*t**2\/4 - 6183*t\/8 + 6177\/4 = 0?\nAnswer: -2, 1, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*q + 285 = 0, 2*q = s - 2*s + 63. Calculate the remainder when 290 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1217 - 308. Let s = z + 317. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6140773415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 129840.\nAnswer: 389520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 756610 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4+29853\nAnswer: 29849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3027 + 0?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/7 + 2*u**2 - 14*u - 98 = 0.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24 and -260.8657765.\nAnswer: -236.8657765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let j(z) = -2*z + 8*z**2 + q*z - 9 - z**3 + 4*z. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/40)\/((-2)\/(-1253)). Let a = -314 - c. What is the second smallest value in 0.03, 3, a?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 11*u**4\/24 - 2*u**3\/3 + 7*u**2. Let o be i(6). Let w = o - 42. Calculate the smallest common multiple of w and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1333, 6183, 14243, 25507, 39969?\nAnswer: 57623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/550 and 71\/165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8c + d2?\nAnswer: b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -277?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.970000668 - 1.97. What is f rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2069 - 1620. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790588?\nAnswer: 2, 11, 108877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x**2 + 7661. Let s(u) = u. Give i(s(t)).\nAnswer: 20*t**2 + 7661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 461288 and 1744?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304*-2.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 + -2)*2\/4. Suppose r*z = z. Suppose 60 = -z*d + 2*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzrkrvy. What is prob of sequence ryk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21745500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.071 + -0.329. What is the closest to -1 in q, -0.03, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135881 is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2 + 3*s**2 - s + s**2 - 5*s**2 + 24*s**2 + (8 - 8 + 3*s)*(-3*s - 2*s + 3*s).\nAnswer: 17*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6399 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*k = 23, 14 - 20 = 2*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 7 = -5*a. Let s(i) = -65*i + i**3 - 67*i - 8*i**2 + 4 - 60*i + 182*i. What is the hundreds digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 5*o. Solve 2*n + 8*h = o*h + 5, n = 2*h - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1380ba0 (base 13) to base 6.\nAnswer: 340134113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.4 (b) -0.1 (c) -2 (d) -3\/4 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1277, -2294, -3045, -3530, -3749, -3702, -3389?\n\"Answer: 133*p**2 - 1416*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + 543\/(-9). Let d = 62 + l. Solve -3*v - 12 = 5*g, -d*v - g - 10 = 3*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1611.7 + 1612. What is the nearest to -1 in -2, -3, d, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654223645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 - 65*d + 493. Calculate j(8).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 9*k - 5. Let d = 0.7 + -1. What is the biggest value in 0.3, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/224234323 and 52\/3?\nAnswer: 672702969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*w + 556, 7*w + 417 = 3*z + 3*w. Suppose a - 100 = 3*v, -5*a + 2*v + z + 296 = 0. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-1051\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/43212 and 59\/12?\nAnswer: 43212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76410829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, s: 3, t: 4, z: 6, d: 3}. What is prob of picking 2 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 22*m + 127. Let t be r(24). Let p = t + -29. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(144) - sqrt(144))\/sqrt(6))\/((sqrt(132) + -3*sqrt(132))\/sqrt(11)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 12452?\nAnswer: 49808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 3 + -5 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)*a*a)\/a*a)**(8\/7)*((a**(1\/8)*a)\/a*a)**(-40) assuming a is positive.\nAnswer: a**(-363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**2*v + 5*u**2 + 3*u*v + 328*v wrt u?\nAnswer: 6*u*v + 10*u + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 327? (a) -14622 (b) -2\/17 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w. Let g(r) = 5*r - r - 5*r. Let k(i) = -6*g(i) - x(i). Let s(v) = 8*v**2. Calculate k(s(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -3 - (-3 + 5). Let y = -6 + 4. Let h be (-3 + y + 2)\/1. Put 1, h, p in decreasing order.\nAnswer: 1, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {y: 2, j: 1, b: 2, n: 1, a: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10617192 and -79\/30.\nAnswer: 53085960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 + -12 - 1\/(2\/2). Solve -z*u = -u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p + 43 - 23*p + 45 + 37 + 8*p - 118.\nAnswer: -3*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Suppose -7*r = -2*r - 30. Suppose 5 + 19 = 4*z. Let u(a) = -r*a + z*a - a**2. What is u(c(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 49.\nAnswer: 53.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/60 - 3*g**4\/8 - g**3\/2 - 51*g**2\/2 + 59*g. Let z(c) be the first derivative of d(c). What is z(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 2*a**3 - a**3 + (-a**2 - a**2 + a**2)*(-69 + 69 - 8*a))*(-3 - 2 + 0).\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 13851 - 10990. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4976 - 4976.1. Let r = 54 - 79. Sort j, 0.2, 1\/3, r in descending order.\nAnswer: 1\/3, 0.2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*p - 2031, -705 - 1841 = 5*c - p. Let g = -294 - c. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/138688?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.06 * -2.7824.\nAnswer: -5.731744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150814?\nAnswer: 2, 75407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 834721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-16) + 1\/4. Let o = v + 3. Let u = -232\/153 - -22\/17. Is o > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08526119092 - 103.91473734908. Let w = t - -104. Round w to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -229, -751, -1637, -2893, -4525, -6539?\n\"Answer: -w**3 - 176*w**2 + 13*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -161\nAnswer: 3\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 0.4181?\nAnswer: -14.4181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -19, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18118809?\nAnswer: 3, 173, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1 - 39*f - 37*f + 75*f. Let a(y) = 14*y - 6. Let g(n) = -a(n) - 5*x(n). Differentiate g(s) with respect to s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -189\/20?\nAnswer: -189\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 37. Suppose -g + c + 19 = -37, 3*c + 107 = x*g. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 13 = -3*o + 3, -2*o = -8. Let q = -1 - n. Suppose -15 = -4*l + 2*z - q*z, 2*l - 4*z = 12. Which is the closest to -0.1? (a) 0.3 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -52*6\/45 + 7. Which is the third smallest value? (a) 5 (b) 3 (c) n (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.085 plus -444715.84?\nAnswer: -444713.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 2. Let w(s) = -s**2 + 9*s - 7. What is -4*w(f) + 14*x(f)?\nAnswer: 4*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*f**3 - 3344 - 149*f**3 + 3344.\nAnswer: -627*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 108*y**3 - 8*y**2 + y + 11. Is g(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 23*d + 30*d**3 - 8 - 79*d**2 + 28*d - 3*d. Let x(j) = 150*j**3 - 396*j**2 + 240*j - 40. Let l(p) = 28*b(p) - 6*x(p). Determine g so that l(g) = 0.\nAnswer: 1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2 - 0. Let z be 2*-1*(i - 0). Suppose 54581 = -4*y + 3*m + 54664, 5*m = -2*y - 43. Sort z, 1, y in descending order.\nAnswer: y, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3612\/13 + -2 + (-3 - -3). Let w = 276 - m. Sort -0.2, 1\/2, 5, w in ascending order.\nAnswer: -0.2, w, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f**2 - 3*f + 6. Suppose 13 = 3*i - j + 4, -25 = -4*i - 3*j. Let b be a(i). What is the units digit of (0 - -2)\/b*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363027396 to the nearest integer?\nAnswer: 19053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 311.7 + -293. Let p = z - 19. What is the closest to -1\/3 in -1\/3, p, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14343661439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/12 + v**3\/6 + v**2\/2 + 13*v. Let m(y) = 2*y**2 + 3*y + 5. Calculate 3*h(n) - m(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 756\/71 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445668200 rounded to the nearest one million?\nAnswer: 446000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 25*l + 27. Suppose 3*b + 0*f + 72 = -2*f, -4*f = -b - 24. Let m be o(b). Suppose 8*r = m*r - 20. Is 2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(11\/3)*n**(-3)\/n*n**(-2\/3)\/(n**(-5)\/n) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(75))*3 + (sqrt(75) + (sqrt(75) + 0 - sqrt(75)) - sqrt(75)) + -5 + 0)**2*3.\nAnswer: -900*sqrt(3) + 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 7*x**2 + 3*x + 2. Let l be o(7). Suppose -k - l = -2*k. Let y = -2 + k. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -0.4, 0.22, -0.5 in ascending order.\nAnswer: -0.5, -0.4, 0.22, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 13. Suppose 0 = n - 0 + g. Let h be 8\/(-2)*3\/(-90). Is h != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -6.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*g + 2*g + 0*g)*(3*g + 0*g - 2*g) + 5*g**2 - 4*g**2 - 2*g**2)*(-143 + 82 + 241) to the form k*g + u*g**2 + t and give u.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -74889.0379 to the nearest 100.\nAnswer: -74900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 - 19*m + 5. What is the remainder when w(-2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238461 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 7, -2, 47\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -24772?\nAnswer: -24775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, d: 6, a: 1, l: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.29983423 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -5.05. Let a = 6 - -6. Let f = a - 11.8. Is i at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/2205*38\/10. Let f = -2\/147 - h. Is f > 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + -5*-2*sqrt(600) + sqrt(600) + sqrt(600))\/sqrt(12) + (-5*(sqrt(20)*-2 + sqrt(20)) - sqrt(20) - sqrt(20))\/(sqrt(1000)*1) + 2.\nAnswer: 2 + 653*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -32*o - 293. Give h(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (78\/5)\/13 - 156\/80. Which is the closest to 1\/112? (a) -1\/3 (b) -3\/2 (c) 1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 9:38 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1084 - 86*f + f**4 + f**4 - 1086)*(-3 - f + 3).\nAnswer: -2*f**5 + 86*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 3*sqrt(114))*1 + sqrt(114))\/sqrt(6).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545435501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1374 and 24.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 259, 265, 271, 277, 283?\n\"Answer: 6*l + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -286f2b?\nAnswer: 286f28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121*0.2\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -21*m**3 + 11*m**2 - 11*m - 14. Let y(d) = -10*d**3 + 5*d**2 - 6*d - 8. Calculate 4*n(f) - 7*y(f).\nAnswer: -14*f**3 + 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 284272*r - 39153360.\nAnswer: -4*(r + 138)*(r + 70930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 2\/9, 4, -14, -336?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -94. Solve -g + u = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 2*q)*(-41 - 49 - 36*q + 93)*(-2*q - q + 2*q).\nAnswer: 36*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -267 - -280. Suppose -r*h = 503 - 7640. List the prime factors of h.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d - 9. Let b be t(0). Let g = b - -15. What is the remainder when 17 is divided by 210\/25 + g\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 23405?\nAnswer: 23401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*sqrt(13)*3 - sqrt(468)*-4))**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005242517 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8177083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -8, -4 in ascending order.\nAnswer: -11, -8, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + (sqrt(114) - (sqrt(114) + -5*sqrt(114)*-2 + sqrt(114)) - sqrt(114)) - sqrt(114))*-2)\/(-6*(sqrt(6) + 1*sqrt(6))*-4))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 247384.56 to the nearest one hundred.\nAnswer: 247400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61903878.\nAnswer: 2, 3, 10317313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Find the third derivative of -21*b**3 + 3*b**2 + 2*b**6 + 21*b**c wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7 - -4?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*a + 506775, 2*a + 280511 = 4*j - 124935. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36423.54255 rounded to the nearest 100?\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3509814 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19 = -g, -4*g - 3*v = -4*v. Let n be (-4)\/10 + (-12)\/(-5). Suppose 12 = x + n*x. Solve -x*h + 11 + g = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4914, -9840, -14766, -19692, -24618, -29544?\n\"Answer: -4926*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231892119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*q + 14, 27*z - 30*z = -6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**26)*v**31 assuming v is positive.\nAnswer: v**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from jvvvhkp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 8:23 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85985 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 5*j**2 + j. Suppose -2*c - 3*c - 25 = 0. Let r(s) be the first derivative of -2 - s**4 + 1\/2*s**2 + 0*s - 2*s**3. What is c*m(d) + 4*r(d)?\nAnswer: -d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r + 16. Suppose 0 = -r*x + 170 + 38. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) - 8300\/500.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -10011?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**2 - 12*u - 125. Let b be j(16). What is the highest common factor of 385 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/6 + -1)\/(10\/210). Let r = g + -127. Calculate the remainder when 22 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d + 0*d - 4*d)*(-d - 7*d + 60 + 6*d) as i*d + z + b*d**2 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -10*b + 5*b + 4*p, 0 = 2*b + 2*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 7:36 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 3891976925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795102.\nAnswer: 2, 1397551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*p - 2*p, -4*r = 5*p. Let g be 5\/(-12) + 4\/6. Let s = 0 + -2. Which is the second biggest value? (a) g (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -1415, -2638, -3861, -5084?\nAnswer: -6307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-2))\/(10 + (-985)\/100). Let t = s + -75. Let v(h) = -3*h - 4. Calculate v(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78909881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 44, 57, 58, 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 4*m**2 - 3*m**2)*(-24 - 20*m + 24)*(3 - 2 - 6).\nAnswer: -200*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 654, 640, 628, 618, 610, 604, 600?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -180962? (a) -1\/4 (b) 0.4 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 9*p + 39. Calculate z(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*11\/(-352))\/((-2)\/(4\/2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121075338 to six dps.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 24 + 12. List the prime factors of (-1)\/1 - (-36 + l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtttjjttjjtjjdttttt. Give prob of sequence jttd.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 13*z - 45. What is the remainder when i(-7) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194478 is divided by 48495?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26154 is divided by 245?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 319796.\nAnswer: -1279184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 + 5.49. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 404, -2, 1, 2.\nAnswer: -6, -2, 1, 2, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15084313 take away 2.6?\nAnswer: 15084310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 366626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 194\/(-24)*(-1 + -2). Let i be 28 + -2 + (-6)\/3. Let y = r - i. What is the third smallest value in y, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6201*h = -6260*h - 236 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6368975 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -16, -74, -184, -364?\n\"Answer: -3*s**3 + s**2 - 6*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43517, 174066, 391647, 696260, 1087905?\n\"Answer: 43516*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-30) - ((-33)\/(-6) - 5). Is 20\/9 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*q**2 - 1 - 65*q**3 - 102*q**2 + 11*q + 191*q**3 - 66*q**3 - 61*q**3 wrt q?\nAnswer: -6*q - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -158, -160, -162, -164, -166?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -1. Suppose -5*t - h = -2*t. What is the units digit of 88\/33*(-9)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12890753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 4:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*o + 48. Suppose -h - 223 = -3*b, -5*b - 43 = 2*h + 447. List the prime factors of (o + 1)\/((-10)\/h).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j + 5*o, -4*o - 4 = 5*j - 12. Suppose y + 0 = 2. Let h(a) = -a**3 + 6*a**2 - 5. Let q be h(6). Put y, 3, j, q in decreasing order.\nAnswer: j, 3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1383396947\/88 - -15720213. Let d = -1645\/8 - g. Find the common denominator of -64\/9 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -2*n**2 - 1\/28*n**4 + 2\/21*n**3 + 1\/210*n**5 + 0 + 0*n. Factor f(q).\nAnswer: 2*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82151738 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-54))\/(2 - 14\/8). Which is the closest to g? (a) -0.2 (b) 0.16 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11352, -11175, -10890, -10503, -10020?\nAnswer: -9447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 2, -4, -10, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-6)\/108)\/(1\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 3*c**4 + 2*c**4)*(-3*c + 0*c + 2*c + (52555 - 340*c - 52555)*(2 + 4 - 3)).\nAnswer: -2042*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -22*a - 66. Let s be v(-3). Solve 2*u + 6 = 0, s*l - 2*u = 5*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/(-10) - (-4)\/(-8) and (-2)\/(-10) - 526\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.3269?\nAnswer: 0.09807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 0 + ((sqrt(130) - sqrt(130)*3 - sqrt(130))\/sqrt(10) - sqrt(13)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 0.2, -0.29, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/2 - 4*l**3\/3 - l**2\/2 + 87*l + 232. What is the second derivative of h(u) wrt u?\nAnswer: 12*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 16*c - 56. Let h be q(-11). Let a(z) = z**2 + 1. Let j(g) = 3*g**2 - 4*g**2 + 7*g**3 - 5*g**3 - 5. Determine h*j(v) - 2*a(v).\nAnswer: -2*v**3 - v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 16 = 9*b. What is the lowest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose -2*p - 2*p = -3*w - 2, 0 = 4*p + n*w - 16. Find the common denominator of 4 + 1\/7*p and -37\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - v + 3*v = -163, -5*x - 4*v + 815 = 0. Let u = x + -109. What is the least common multiple of u and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 20*f**3 - 9*f + 1. Let v(a) be the second derivative of -13*a**5\/20 + a**3 - a**2\/2 + 3594*a. Calculate -8*v(d) - 5*x(d).\nAnswer: 4*d**3 - 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-6)\/2940)\/(-1)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*m**3 - 145*m**3 - 46*m**3 - 14 + 6 wrt m.\nAnswer: -687*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 + 12*p - 17. Let u be f(-13). Let x be 10\/4*13\/((-26)\/u). Solve -x*r + 13 + 2 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 241?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, i: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 3*q + 18, 5 = 3*w + 2*q - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {g: 5, e: 1, t: 3, i: 2, l: 1, y: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 1. Let m(j) = 3*j**2 + 4*j - 1. Let g be m(-3). Let b = g + -8. What is the lowest common multiple of b and l(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from gusgutmyt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g. Let c(i) = 2*i**3 - 5*i**2 + 6*i - 2. Determine -c(u) - 6*w(u).\nAnswer: -2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 12*a**2 + 7*a - 3. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.69 - 35.\nAnswer: -35.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 5*f. Let l(z) = z**2 - 3*z. Let w(r) = 5*c(r) - 8*l(r). Let x be w(-1). Suppose -x - 1 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5618749786 - 3.\nAnswer: 5618749783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -5*u**4\/4 + u**3 - u**2 + 6*u - 3. Let o(l) = -6*l**3 + 3*l**2 - 2*l + 7. Let g(c) = 4*o(c) - 5*t(c). What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.7408 to the nearest integer.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6036715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300663 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 455 = 51*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 1.92. Let l = 1.0721 - 0.5721. Put l, v, 6 in ascending order.\nAnswer: v, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-642 + 1254 - 389)*(4 - 6*m - 4).\nAnswer: 2676*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 1 - 5 = -z - 1 + 4, -3*z + 13 = -22*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-45)\/(-4)*(-240)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593253 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3164, -6187, -9206, -12221, -15232, -18239?\nAnswer: -21242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -88. Let s = 113 + o. What is the greatest common divisor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2, 0.2, -788, 0.7 in decreasing order.\nAnswer: 0.7, 3\/5, 0.2, -2, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42))\/((-1586)\/78 - -21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from uuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 3*b - 7. Let r be t(5). Suppose 2*j + 10 = 0, -2*k + 0*k = -3*j + r. Let x(z) = -z**2 - 10*z - 11. Let g be x(k). Is -2\/3 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 32 = c + 5*t, -5*t + 25 = 0. Suppose 0 = 2*h + 1 - c. Let l(v) be the first derivative of -v**2\/2 + 2. Give l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13223465 or 13223468?\nAnswer: 13223468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 1, y: 2, n: 4}. What is prob of picking 1 h and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.2472 millilitres in litres?\nAnswer: 0.6542472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 291 divided by 97\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10521.07 + 0.24.\nAnswer: -10520.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {u: 5, c: 2, p: 2, j: 1, n: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from ffgfffffggffgffgfgf.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -5 + -11 + 30 + 2 + 16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 8) in base 10?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -13. Let m be 13*(1 - 0\/(-2)). Suppose -m*b + 95 = -g*b. Which is greater: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -457462254 and 15.85.\nAnswer: -457462238.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -11. Let i = -5.7 - h. What is the closest to 1 in i, -2\/7, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.2 in -0.4, 0.6, -80.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 56. Let y be u(14). Suppose -1\/2*g**2 + y + 0*g**3 + 1\/3*g + 1\/6*g**4 = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35516 - 29?\nAnswer: 35487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 6*y - 3*y)*(4*y - 2*y - 4*y) - 7 + 20902*y + 6*y**2 - 5*y**2 - 20893*y + (-2*y + 4*y + 0*y)*(5*y + 2*y + y) as n*y + q + d*y**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 7*a**2 + 13*a - 43. Let j be s(8). What is the nearest to -1\/2 in -1.2, -0.2, j, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39285 divided by 873.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32899917 bigger than 32899920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5468874 divided by -762?\nAnswer: -7177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0932 and 401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-4) + 9\/36. Let q = -10.9 - -11. Put q, -0.2, i in descending order.\nAnswer: i, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*s = -11 - 9, 2*g - s - 5 = 0. Suppose o = 2, 1 = z - g*z - 3*o. Suppose -2*v + 43 = z. Calculate the remainder when 86 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 272.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 13 = 149. Let g(i) = i**2 - 4*i - 2. Let k be g(-4). Let v = h + k. Solve v*n = 4*j - 2 - 3, 0 = -4*n - 5*j - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 16)*(-3 + 6 + 0 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 50, 48, 44, 38, 30, 20?\n\"Answer: -o**2 + 3*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*j**4 - 7*j + 54*j**4 + 47*j**4 - 2916 - 153*j**4 with respect to j.\nAnswer: -12*j**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 616*a**2 + 5460*a + 26. Calculate o(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 + 270 + -147 + 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*n + 70*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 6*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198.278 + -0.278. Let i = p + -201. Let u = 8\/5 + -9\/5. Which is the fourth smallest value? (a) 4 (b) i (c) -1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/14 + -3)*(-2 - -4)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - x**2 - 9*x - 4. Calculate the least common multiple of t(3) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/sqrt(8))\/sqrt(5) - ((sqrt(84) + sqrt(84) + -5*sqrt(84))\/sqrt(12))**2 - (sqrt(3136)\/sqrt(7) - (sqrt(77)\/sqrt(11) + 4)).\nAnswer: -59 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - s)*(s - s**2 - s) + 9 + s**3 + 137*s**2 - 137*s**2 to m*s + v + u*s**2 + o*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-105)*3*(-15)\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1477 - 723 = -8*p. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/2)\/((-4)\/56*7)*4066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -278\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 6. Solve 4*p - 7 = g - 0*p, 0 = 4*g - m*p - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 - 13112*l\/7 + 21490568\/7 = 0. What is l?\nAnswer: 3278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqzmc. What is prob of sequence zqc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 1113*t + 27098. Determine j(-25).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -e32d (base 16) to base 11\nAnswer: -3a770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + (-7870)\/(-15). Let y = k - 518. What is the common denominator of y and (-2)\/(-18)*15\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a + 5*a - 4*a - 2*a in the form b*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/103 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/2)\/(12\/(-24)) - -8. Solve 2*l = 5*b + 3*l + i, 8 = b - 2*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415501772 to the power of 1\/2, to the nearest integer?\nAnswer: 66449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(7) - sqrt(7)) + -5)**2 + 5 - -2*(sqrt(56)\/(sqrt(64)\/sqrt(8)))**2.\nAnswer: -20*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -878 + 878.1. What is the smallest value in c, -0.05, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-0.7.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 964 - 962. Solve 3*z - 7 = n*k - 1, 3*k - 4*z = -8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -6354?\nAnswer: -103\/6354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 78. What is the remainder when t is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 6310*d**2 - 333234*d - 942858.\nAnswer: 2*(d - 3207)*(d + 3)*(d + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 29*x - 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -6. Suppose 7 - 23 = -4*i. Which is the smallest value? (a) i (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.935333 months in centuries?\nAnswer: 0.0016127775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1160?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -9 - 6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -49*l**3 - 54*l**2. Let g(x) = -49*x**3 - 54*x**2. Suppose 7*w = 46 - 11. Let y(t) = w*g(t) - 4*k(t). Find the third derivative of y(q) wrt q.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -66*m**2 - 2. Let w(j) = 2*j**2 + 1. Let n(p) = -b(p) - w(p). What is the first derivative of n(r) wrt r?\nAnswer: 128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*v + 131 = -217, -3*v = 4*w - 464. Calculate the remainder when w is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = 3*t. Suppose 4*c = t + 9. Suppose c*k - 54 = 50. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2512 and 11133498?\nAnswer: 89067984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -3\/4 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7 + 115*o + 0 + 3. Let m be w(-3). Let n = m + 484. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 501525 + 55?\nAnswer: 501613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12014388 is divided by 6007192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*g + 222*g - 7070 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048484 and -5?\nAnswer: -0.24242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*r - 35 = 0, 3*a - 2*r - 47 = -0*a. Suppose b + 4*b - 20 = 0. Suppose -b*n + a = n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39788 divided by -343\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x, -30 = -v + 4*x. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = q - 13990. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 - -271. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3305515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/9*(-3)\/(-2). Let s be (22\/3)\/((-7)\/21). Let t be (-4)\/s*(-1)\/((-1)\/1). Put 1, t, k in descending order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4148 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 265dc (base 14) to base 12\nAnswer: 46806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 + 3 = 2*o, 0 = -o - 4*a + 2. Suppose 10 = 4*d + 3*n - 5*n, -3*d - 3*n = -21. Put o, d, -2 in ascending order.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/471 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (4 - 12 - -5) + -7 + 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46403 - 5?\nAnswer: 46376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**2 + 2899*o - 8815. What is g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.33 - -32.67. Let x = 6307\/2 + -3154. Sort g, 1\/6, x, 1\/9 in ascending order.\nAnswer: x, 1\/9, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 1. Let m be b(2). Suppose 0 = -2*g - 8, -m*a + 2*g - 16 = -4*a. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/5 - 22*j**3\/5 - 157*j**2\/5 - 396*j\/5 - 324\/5 = 0 for j.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.18 - 0.42. Let b = y + 3.6. Let t = 0.2 - 0.5. What is the third smallest value in b, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 19*t**4\/24 - 55*t**2. Let m be (-2)\/15 - 1054\/(-30). Let o(y) = -61*y + m*y + 28*y. Calculate o(a(r)).\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**0*k\/((k\/((k\/(k**(3\/2)\/k)*k*k*k)\/k))\/k))**(-2\/39))**(-18))**(-39) assuming k is positive.\nAnswer: k**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**5 - 9065*r**4 + 2014960*r**3 - 116060920*r**2 - 488713680*r - 496918800 = 0. What is r?\nAnswer: -2, 126, 1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/91)*d**(-20) assuming d is positive.\nAnswer: d**(-1818\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 8858645.\nAnswer: 9\/8858645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 14, 1.\nAnswer: 1, 14, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 - 6*l + 15. Let n be c(5). Suppose 0 = n*d + 23675 - 66665. Suppose 6*t - 3219 - d = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5514741*r**4 - 2558309*r.\nAnswer: -66176892*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**2)))\/r)**0*r**(8\/7)\/(r*r*r**7\/r*r*r)*(r\/r**(-6))\/(((r*r*r**(-1\/14))\/r)\/r)*(r**2)**(2\/69) assuming r is positive.\nAnswer: r**(-1669\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 - 283*u**2 + 219*u + 10528. Give q(-71).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - m = 101, -10*w - 14 = -9*w + 4*m for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1535466 - -2?\nAnswer: 1535501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4509, -18144, -40851, -72624, -113457, -163344, -222279?\nAnswer: -290256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d + 14. Let y(u) be the first derivative of -u**4\/4 + u - 3. Give -2*k(t) + 2*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.03262 - 112037?\nAnswer: -111929.96738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.06945 - -150.069472. Let n = 20 + g. Round n to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i*j*y**3 + 12*i*j*y**2 - 2*i*j*y - i*y**3 + 22*i - 194*j*y**3 - 2*y**2 wrt y.\nAnswer: -30*i*j - 6*i - 1164*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 9\/2*m**2 + 2*m - 9. What is the first derivative of w(o) wrt o?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {l: 14, q: 2, d: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = -2*t. Suppose -t*n = -3*n - 126. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 - 0.18. Which is smaller: v or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-973)\/(-42) + -4 - 6\/36. Solve 0 = -39*m - c*m + 406 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, -773 in increasing order.\nAnswer: -773, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005152 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/8 - 62*h**3 + 11239*h**2\/4 - 32050*h - 279375\/8 = 0.\nAnswer: -1, 25, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-11 - -22) + -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*v + 31*v - 6 + 420 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 55 - 8*v - 31 + 5*v**2 - 32. Let w be r(-6). Suppose 0*g - 4*z - 109 = -5*g, -2*g - w*z = -66. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371191776 by 2.\nAnswer: -185595888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6988 (b) -4 (c) 5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, 6, -3 in ascending order.\nAnswer: -19, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g = 69*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 + 8 + (3 + 0 - 2)*(-4 + 2 + 1) - 5 - 2 + 4 + 2 + 7 - 4)*(-77*i**3 - 8*i**4 + 77*i**3) in the form k*i**2 + r*i**4 + z*i + l + c*i**3 and give r.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*d**2*m**2*u + 2*d**2*m*u - 3*d**2*m + 2*d**2 - 2*d*m**2*u - 2*m*u wrt m.\nAnswer: 158*d**2*u - 4*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -282976\/103 or -2746?\nAnswer: -2746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 15. Let q(c) be the second derivative of -c**3\/2 - 17*c**2\/2 - 4*c. Let r be q(b). What is the highest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4516313966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:06 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52969219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334 (base 9) in base 7?\nAnswer: 10114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014683366 rounded to six decimal places?\nAnswer: -0.001468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -276f19 (base 16) in base 15?\nAnswer: -360aea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**10)\/(z\/(z\/((z*((z*z\/z**7)\/z)\/z)\/z*z))))**(-14)\/(z**(-3\/10)*(z\/z**(3\/5))\/z)**(-3\/8) assuming z is positive.\nAnswer: z**(-20187\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6292545 by 1258509.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19236 and 1797?\nAnswer: 11522364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 50464.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 177 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4.93, -2, -0.1, -5 in ascending order.\nAnswer: -5, -4.93, -2, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 2 (c) 1\/144 (d) 3 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*a**2 + 27\/5*a - 12 = 0. Calculate a.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123, 503, 1137, 2025, 3167, 4563, 6213?\n\"Answer: 127*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -17*r + 20*r. Sort 2, 0, r in descending order.\nAnswer: r, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - s = 108600. Round s to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:51 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - w + 1)*(2 - 2 - w) - 30*w + 30*w + 9*w**2 - w**2 + 3*w**2 - 4*w**2 as a*w + z + u*w**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6493982 to 3 decimal places.\nAnswer: -6.649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 2*c**2 - c**3 + 0*c**3 + 3*c**2 - 3*c**2 + 2*c**3 - 5*c**3 + c**3 + 2*c**3 - 4*c**3 + 4*c**3 - 2*c**3 + (1 + 5 - 5)*(1 - c**3 - 1).\nAnswer: -c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.27 + -6.27. Sort p, -7, 5\/4 in increasing order.\nAnswer: -7, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 337*q**8\/112 - q**4\/4 - 133*q**3\/6 + 191*q**2. What is the second derivative of k(u) wrt u?\nAnswer: 20220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183646, -734541, -1652684, -2938075, -4590714, -6610601, -8997736?\nAnswer: -11752119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 1 + (2 - (-1 - 3) - (10050 + -10042))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = -5. Is z greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = -2. Let n = i - -5. Let v = 1 - 1. Sort n, v, -3 in descending order.\nAnswer: n, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9 = -f, -2*b - 2*b + 81973*f - 81957*f - 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*m**2 + 184*m**2 - 414*m**2.\nAnswer: 43*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 59 + 35 = 102 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2344, -4451, -6300, -7891, -9224, -10299, -11116?\n\"Answer: 129*a**2 - 2494*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-16) + (-7)\/(-2). Suppose 6 = -f + i*f. What is the smallest common multiple of f and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -30771.9486?\nAnswer: 30771.7486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63048 divided by 7881?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 16 - (40 - 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 12*k**2 - 30*k + 11. Calculate j(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**2 + 0 - 8\/45*y**3 + 40*y + 1\/90*y**4. Factor n(f).\nAnswer: 2*f*(f - 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -740102.\nAnswer: 3\/740102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + -2 + 0)) + -185 + 186.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 10. Let m be d(-8). Let p be 0 + (-6)\/2 + 19. Let f = p - -2. Solve 4*k - m*k + 3*s = 16, 0 = -5*k - 2*s + f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(6\/(-8)). Is l less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*13*1\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -d - 17, d - w = 3*d - 11. Solve d*q - 12 = 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-4))\/3*-5*(-16)\/(-120)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -780 + 780.000000363. Round s to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573371776 by -1.\nAnswer: -573371776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 87. Solve 3*x = c*y + 3 + 4, -3*y = 2*x + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 11 = -15*j - 18. Sort 0, 173, j, -3, -5.\nAnswer: -5, -3, j, 0, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let w(c) = c**3 + 6*c**2 - 8*c. Let v be w(-7). Suppose 2*g - 26 = -b*f, f + v = -0*g + 4*g. Solve 4*a - 28 = f*o + 9, 4*a = -o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*((sqrt(144) + (sqrt(144) - (sqrt(144) - sqrt(144)*2 - sqrt(144))*-1) + sqrt(144) - sqrt(144))\/sqrt(4))\/((sqrt(144)*2*4)\/sqrt(12)))**2)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - g, 3*v - 4*g + 1 = -2*v. Suppose v*q - 4*a - 84 = -q, -a + 5 = 0. Calculate the greatest common factor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5104 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 15*z**2 - 7*z**2)*(z - z - 3*z + (-3 - 2 + 3)*(-2*z + 6*z - 2*z) + (0*z - z + 0*z)*(-5 + 0 + 3) - z + 0*z + 3*z + 15 - 15 + 7*z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-22)*c)\/c)\/(c*c\/(c\/c**(-15))))\/((c**(-19)*c)\/c)**(-7))**19 assuming c is positive.\nAnswer: c**(-2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 203a85?\nAnswer: 203a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034458612 to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = -2*z. What is the remainder when z is divided by (18\/12 - 1)*(2 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.257.\nAnswer: 0.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 29\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-956*y**2 + 956*y**2 - 203*y**3)*(-y + y + 2*y**2).\nAnswer: -406*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 376392\/4680 + -80 + 2\/(-5) + 0\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 7*p - 12. Let i(b) = -b. Let j be i(p). Let d = 9 + j. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/28 + (-4)\/7. Is 123 + 2 - k*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1307414, -2614652, -3921718, -5228612, -6535334?\nAnswer: -7841884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1, -5, 111, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*l - 827*l + 7014 = -324*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -121*o**4\/12 - 91289*o**3\/2 + 13408221*o**2\/4 + 7367890*o\/3 + 447636 = 0?\nAnswer: -4599, -4\/11, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 70*a + 212. What is s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1*sqrt(76)*5)\/sqrt(4).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -900333*v**2 - 52318782?\nAnswer: -1800666*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 - -2)) + (-6 - -19) + 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 7. Let d(m) = -9*m + 23. Let a(t) = 20*t - 52. Let g(z) = -4*a(z) - 9*d(z). Give 6*g(w) + k(w).\nAnswer: 12*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*i - 135*i + 467*i.\nAnswer: 174*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166540012 to the nearest integer?\nAnswer: 12905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 90*x + 83. Give y(-9).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 438\/(-8) + 2\/(-8). Let k be (-2)\/5 - u\/75. Which is the smallest value? (a) -2\/33 (b) k (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 2*h**2 + 2*h - 2. Suppose 3 + 1 = 2*v. Let p be o(v). Solve -t = -2*i - p*i - 11, -2*t = -3*i - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*a - 40 = 0, -2*u + 5*a = a + 14. Let k(x) be the second derivative of -x**5\/20 + x**4\/4 + x**3\/3 + 2*x. Determine k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -60.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*r - 20, -157*r + 7 = -153*r - 5*x. Suppose -5*z + 4*z + 39 = 0. Calculate the least common multiple of r and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04797 - 0.02?\nAnswer: -0.06797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*y**2 + 2986*y + 2468*y - 5968*y wrt y.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 2364538?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cujjrjucjf. Give prob of picking 1 u, 1 f, and 2 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l - 16. Let g be s(-7). Solve 0 = -2*f - f - g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 4*a**2 - 2. Let g be r(-3). Let h be (1 + -3)\/(-1) - 2. Let j = h + g. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 2, o: 1, q: 1, s: 11, l: 1}. Give prob of sequence ss.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -280, -543, -802, -1057, -1308, -1555, -1798?\n\"Answer: 2*x**2 - 269*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/12)\/((78\/16)\/13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 37 = 25*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.11, -2, -21, -6\/31?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(3\/7)*(d**1\/d)\/(d*d**1) assuming d is positive.\nAnswer: d**(-64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 133*c**2 - 833*c + 134. Calculate n(-139).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 1239278*k**3 + 255967500690*k**2 - 17622765161700138*k - 35246554203317292.\nAnswer: 2*(k - 206547)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 + -41. Suppose 4*w + 5*z - t = 0, 7*w - 5*w + z - 90 = 0. Suppose 3*c = c + w. Solve b + 5*f = -c, -f - 7 = -4*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -428, -394, -326, -212, -40, 202, 526?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, v: 1, s: 4, r: 4, g: 2}. What is prob of sequence gs?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182881 (base 9) in base 13?\nAnswer: -197866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 395919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 714356 - -1281?\nAnswer: 715647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.1991 rounded to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**3 + 2*q**2)*(-4 + 0 + 0 + (3 + 2 - 4)*(0 + 4 - 2)) + 1 + 2*q**3 - 1.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.5, 2, 0.127, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3.1, -6\/5, -5, -0.3 in increasing order.\nAnswer: -5, -3.1, -6\/5, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3207, -12621, -28243, -50073?\nAnswer: -78111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/5 + 122*l**4\/5 - 5469*l**3\/5 + 106628*l**2\/5 - 763876*l\/5.\nAnswer: -l*(l - 38)**2*(l - 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -1 - (-21013 + 21007).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169, 331, 479, 607, 709?\n\"Answer: -h**3 - h**2 + 172*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11200000221?\nAnswer: 11200000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434704*i**2*v**2 + 2*i**2*v - 541*i + 2*v wrt v.\nAnswer: 869408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 - 5 = -3*l, -4*o + 5*l = -14. Suppose -o*a = -2*a - 52. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -86. Let f be (3 + -7)*(0 - x\/(-7)). Let h = 3 - -2. What is the closest to f in 1, 2, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by (1440\/135)\/(10\/195).\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30853 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 10. List the prime factors of (-2*1)\/s*(-15 - -102).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/5 - 8151318*c\/5 - 8151316\/5 = 0.\nAnswer: -4075658, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 46865.\nAnswer: 3\/3605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 2*i + 33. Let t(v) = 14*v**2 + 11*v - 165. Let a(y) = -6*t(y) - 33*x(y). Find the first derivative of a(s) wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326 is divided by 313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 - 7*v**3\/2 + 73*v**2\/4 - 42*v + 36 = 0. What is v?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 + 153.59. Let k = -1.41 - o. What is the nearest to 0.2 in -7, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3*c + 4*c)*(342 - 211 + 245)*(c - c + c).\nAnswer: 376*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 + 33 = -161*u + 62. What is the remainder when 158 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 376.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038ff (base 16) in base 10?\nAnswer: 1063167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 19*o - 59. Let h = 38689 + -38702. Calculate a(h).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(72) + -2 + (sqrt(72) - -2*sqrt(72)) + -3 + 2*sqrt(72))*5 + -3)**2 + -4).\nAnswer: -40320*sqrt(2) + 262320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 + 6*t - 36)*(2 + 4 - 3 + (-3 + 2 - 1)*(2 + 0 - 1) - 4 + 5 - 2 + 1 - 2 + 0)*(-1 - 5 + 3)*(2*t - 2*t - t) as w*t + p + n*t**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q + 8 = 84*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2044 + -2046. What is the closest to o in 7, -0.05, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21)*7*1*(-3)\/111.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17*i**3 + 253*i**2 - i + 49. Determine m(15).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Suppose -x*q - q = 2*r - 267, -4*q = 5*r - 200. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j**3 - 138395 + 138395.\nAnswer: -53*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-78771)\/56265)\/(14\/380)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95607194.\nAnswer: 2, 2909, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12536280 divided by -6?\nAnswer: 2089380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913 + l - 1911 + 3824 + 716*l**3.\nAnswer: 716*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2 + (-2)\/(-2). Suppose -6 - 4 = -z*i. Let f = i - 4. Solve 3*w = -f + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*u = 101*u - 2. Let t be (-124)\/93*u\/2. Let o = 29 - 30.3. Which is the nearest to t? (a) -5 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -5, 9, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -46. Let b = t + 57. Solve 0 = 2*j - b + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 5. Let k(r) = -r - 1. Let o(g) = -2*g + 1. Let t(l) = -3*k(l) + o(l). What are the prime factors of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 134*u**2\/7 + 330*u - 2178\/7.\nAnswer: 2*(u - 33)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (5 + 26 - 22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253127?\nAnswer: 7, 36161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 778737 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103\/4 + 26. Let n = -161.942 + 161.742. Which is the nearest to 6\/5? (a) t (b) -3\/4 (c) -1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(2\/19)*j**12*(j**(-8)\/j*j)\/((j\/(j**(2\/5)*j)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(313\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11280 - 39568 = 4*w. Let g be (-2)\/(-7) - (-19)\/((-1862)\/w). Calculate the highest common divisor of 234 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 29. What is the tens digit of 630\/56*(-16)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let r(g) = g - 4. Let l be r(c). Is l less than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -475*(-120)\/12 - (-8 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*o, -5*l + o = 2*o. Let i(u) be the second derivative of -10*u + 0*u**2 + 0*u**3 + l - 1\/6*u**4. Let g(h) = h. Give g(i(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 9*r - 135 + 296 - 161.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 18. Solve 3*p - 5*l + 2 = q, -p = p + 2*l + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*v**2 + 25 - 40 - 22*v - 51*v + 8*v**2 + 17 to a*v**2 + h + w*v and give w.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 14*k - 13*k. What is the remainder when k is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-700)\/1750*(-1*2)\/14*5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345 + -9. Let h(f) = -10*f**3 - 8*f**2 - 7*f - 10. Let k be h(-5). Let x = k + u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.35 + 0.35. Suppose -3*o + 16 = 4. What is the smallest value in o, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - k = -15, 0 = 2*k - 7*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -357.4.\nAnswer: -13938.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -287 - -326. Find the first derivative of 133*m - 38 - 34 + w*m + 67*m wrt m.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4887, -9751, -14617, -19485, -24355?\n\"Answer: -i**2 - 4861*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 38, -76, -434, -1150, -2338, -4112?\n\"Answer: -19*l**3 + 49*l**2 + 2*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8*i\/i**(2\/19)*i*i\/(i**(3\/4)*i*i)*i*i\/i**(5\/4) assuming i is positive.\nAnswer: i**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24332\/11601 + -2798666471\/92808. Let f = t - -30163. What is the common denominator of -125\/66 and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = 4*f, 5*f + 4*k = 2*k - 8. Suppose f*r + 3*r - 654 = -3*t, r - 210 = -5*t. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 4*i + 6. Let o be k(-4). Let m be 2\/3 + 8\/o. Let y(b) = 2*b**2 - b. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994494339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80579 divided by 43?\nAnswer: 80579\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 12*v**3 + 11*v**2 - 7*v + 1. Let i(t) = -8*t**3 - 7*t**2 + 5*t - 1. Calculate 5*a(x) + 7*i(x).\nAnswer: 4*x**3 + 6*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 - 214. Suppose l - i*u - 138 = -l, -l = 5*u - 93. Calculate the remainder when l is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 7 - 8. Let x(t) = -t**2 - 13*t + 17. Let y be x(-14). Suppose y*o - p*m = o + 5, 0 = -5*o + m + 6. Solve 2*j + o = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 + w + 2. Let y be m(-2). Let h be 1*3\/9*48\/y. Solve 0 = -4*z + h*r + 28, -2*z = -7*z + 4*r + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) - (sqrt(175)*-3 + 1))**2)*3.\nAnswer: -105*sqrt(7) + 8403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 - 14. Suppose -l = -12*u + 10*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15*l**2 - 6*l**2 - 6*l**2.\nAnswer: 3*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*k, 12*v - k - 36 = 9*v. Let q = 188 - 134. Let x = -38 + q. Calculate the remainder when x is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770822.2 millennia in decades?\nAnswer: 77082220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 - 3 = 0. Let z(t) = 26*t**2 - 3*t - 9. Let g be z(b). Suppose 0*n + 4*k = -3*n + g, -4*n + 550 = k. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 + 324. Calculate the remainder when 197 is divided by z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-3)\/(-3))*(-48)\/(-80).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-152 + 231 - 77 - 84*w**2).\nAnswer: -336*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 58 - 86 = 0. Suppose 2*i + 3*v - 11 = 0, -2*i + h*v = -4*i + 14. Do i and 4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -156, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 1212?\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100\/8289 - 4634362\/754299. Let r = -44\/7 - f. Which is the second biggest value? (a) 1\/5 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + c + 69 = 0, h - 3*c - 22 = -2. Calculate the remainder when 49 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:09 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 241.1831257519 and -1.\nAnswer: 240.1831257519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 4*y**2 - y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + 208 + 86 + 10*r - 149.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 10*t - 8*t. Let n be (6\/(-2))\/(1\/(-3)). Suppose -3*u = 0, r - 2*u + 3*u = n. Calculate the remainder when t is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*p + 8. Suppose 4*g - 27 = 5. Suppose -2*w - 2*l + 5 = -w, -g = -2*w - 2*l. Calculate the remainder when p is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r - 2. Let i be f(-3). Let u = 13 - 21. Let x be (-114)\/51 + (-1)\/(4\/u). Is x smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Suppose -4*b - 2*s + 75 = s, -t*b = -2*s - 35. Solve -5*x + b = -4*p, 2*x = -0*x - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/8))**(12\/11))**(17\/5) assuming l is positive.\nAnswer: l**(153\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -5 (b) 11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 5\/(-7) - (-152)\/7. Let g = p - -5. Suppose -g*r + 266 = -25*r. What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1917325, 3834637, 5751933, 7669213, 9586477, 11503725?\nAnswer: 13420957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**5 + 2*y**4 + y**3 - 7*y**2 - 5*y. Let x be (3\/6*-10)\/1. Let d(c) = -c**2 - c. Let m(a) = x*d(a) + s(a). Factor m(n).\nAnswer: -n**2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5974.\nAnswer: 2, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 224\/(-748) - 4\/(-22). Which is the third biggest value? (a) z (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3489303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g - 189 = 46*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89538 is divided by 8138?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/420 - 28*u**6\/75 - u**5\/25 + 112*u**4\/15 + 4*u**3\/15 - 448*u**2\/5 - 2015*u. Find w such that g(w) = 0.\nAnswer: -2, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 304 = -7*y. Let u be y\/(-3) + 15\/9 + -2. Let m = u - -73. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2068 - 287348.7?\nAnswer: -287348.9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14404 + -215981\/15. Calculate the common denominator of j and (-62)\/(-1)*(55\/(-30))\/11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304903739321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -2\/13, -5, 0.03?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2080 - -12539\/6. What is the common denominator of (-182)\/24*-1 + 1 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18763709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -29*b**6\/120 + b**5\/60 + b**4\/8 + b**3\/2 - 3*b**2. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2)\/z*z))\/z*z**(-3))**(1\/48) assuming z is positive.\nAnswer: z**(-1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 16*h**2 - 12*h - 69. What is a(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + (sqrt(77) + -2*sqrt(77))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106165 and 255?\nAnswer: 318495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22067, 11527, 987, -9553?\n\"Answer: -10540*y + 32607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19084 (base 15) to base 6.\nAnswer: 1423324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*l = -4, 3*f - f - l + 1 = 0. Solve -4 = j - f*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*y**2 - 110*y**2 + 4*y - 796*y**3 + 701*y**3 + 177*y**2.\nAnswer: -95*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 - 29625*w**2 - 295695*w + 325325 = 0.\nAnswer: -5915, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -2, 47\/5 in descending order.\nAnswer: 47\/5, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20934 is divided by 2973?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35712*n**3 + 24346*n**3 + 11363*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 10:58 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmrm when four letters picked without replacement from lrrmrmrmllm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 436, 832, 1228, 1624?\n\"Answer: 396*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 2*g = -6*g - 120008. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfc when three letters picked without replacement from {b: 2, n: 2, c: 1, f: 3, y: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/(-6))\/((-3)\/6). Suppose 0*n = w - 3*n + 1, -3*w - 2*n = -c. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - y + 4. Let i be h(0). Let u = -11 + 15. Suppose 0 = 5*a - s - 478, 0*a = -u*a - i*s + 368. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x**4 + 237*x**3 + 864*x**2 - 1407*x + 294 = 0. What is x?\nAnswer: -14, -7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/1092*7*3*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose -i - 4*t + 4 = 0, -2*t + 35 = r*i + 3*t. What is the remainder when 19 - 2*9\/(-6) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2824220 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411982 is divided by 27464?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, 16408 in decreasing order.\nAnswer: 16408, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26930 or 26932?\nAnswer: 26932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 40, 70, 120, 196, 304?\n\"Answer: u**3 + u**2 + 6*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.86 + 0.14. Let d = -1.14 + l. Let r = d + 2.14. Is 2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/12 - 3\/(-6). Let v = 23840 - 23839.8. Let j = -0.93 + -0.07. What is the fourth biggest value in -0.1, j, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1 - 0) + -1. Let v be (-15000)\/(l\/(-10) - 0). Round v to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z. Let m be h(1). Suppose c - 8 - 7 = -4*x, 0 = 2*c - 4*x - m. What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 14*s + 33. Let n = -64 + 77. Let h be i(n). What is the greatest common divisor of h and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) 8 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 257, -2\/5, 9\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j - 1439871 + 1439871.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3369*z + 6816 = -2801*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 2)*(1 - 1 + x) + 5*x**2 - x + 0*x + 0*x**2.\nAnswer: 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.063? (a) 2\/27857 (b) 0.1 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - -68.4. Let q be 7\/84 + 25\/60 + (-1)\/10. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suab when four letters picked without replacement from {s: 1, a: 1, r: 4, u: 4, b: 1, e: 4}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -12*b + 29\/18*b**4 - 1\/9*b**3 + 0*b**2 + 0. Determine v, given that o(v) = 0.\nAnswer: 0, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 788*t - 2463 + 99 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1 - 13 + 7 + 8*q. Let w(c) = -4*c + 4. Let a(z) = -3*m(z) - 5*w(z). List the prime factors of a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 380295.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4 - -13 - 5). What is the smallest value in i, 136, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -9. Let m = n + -9. Which is smaller: m or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 153431222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*j + 348*j - 5705 = 0. List the prime factors of j.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2506, 5007, 7508, 10009?\nAnswer: 12510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137156216 to the nearest integer?\nAnswer: 11711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -3 - 1\/3. Let n be 6 - (22\/1)\/2. Sort 3, d, n, -1 in increasing order.\nAnswer: n, -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 - -37.17.\nAnswer: -38.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*h = -31, -l + 6 = -49*h + 46*h. Let z = -1.4 - -2.4. Which is the nearest to -0.1? (a) l (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 16. Let a be (735\/10)\/((-2)\/(-4)). Let v = a - 56. What is the highest common divisor of v and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/9 - 2960*m**3 - 98185964*m**2\/9 - 7011325360*m - 11221394106962\/9 = 0. What is m?\nAnswer: -6283, -377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1273 + -1\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.48109 litres in millilitres?\nAnswer: 71481.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-59*i + 59*i + 11*i**4) - 2*i**4 + 2*i**2 - 2*i**2 + 4*i**2 - i**4 - 4*i**2.\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629857490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:13 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -12. What is the derivative of v*t - 11*t + 13 + 0*t - 9*t wrt t?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 8 + 15 + -4 + -2 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 186*p**2 + 154*p - 275. Let j(h) = 92*h**2 + 77*h - 165. Calculate -5*j(f) + 3*u(f).\nAnswer: 98*f**2 + 77*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -0.2, 0, 2\/547?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 11 + 21. Let h be ((-28)\/(-931))\/(d\/(-28)). What is the closest to -1 in -1\/4, -1\/5, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 + 300. What is the remainder when 431 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-6)*(-558)\/372\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15*(315\/14)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 = 213*r + 4686 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1100100001001?\nAnswer: -1100100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28352)\/(-416) + (1 - (-1)\/1)\/(-13). Let g(n) = -11*n. Let p(t) = 120*t. Give a*g(i) + 6*p(i).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 413 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2286 - -2778. Solve -n*m = -487*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-15))\/(2\/(-60)). Let o = a + 8. Let j = 6 - o. Calculate the remainder when 43 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 plus 0.06?\nAnswer: -198.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 12. Let r = 2 - -2. Let z(y) = -y**2 + 7*y - 12. Let o be z(r). Give i(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 627?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -9. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 15*j**2\/2 - 20*j + 10. Let t be o(5). Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12800283672 + -2?\nAnswer: 12800283670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/210 - 31*n**4\/12 - 218*n**3\/21 - 921*n**2. Factor o(r).\nAnswer: 2*(r - 218)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-27)\/36). Let l be z\/(3*(-8)\/27468). Let t = l - 632. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 - 1412 = -18*h + 641 for h.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.6 (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (2 + (sqrt(13) - sqrt(52))**2 + 3 - (sqrt(832) - ((2 + sqrt(832))**2 + sqrt(832) - sqrt(832))*3)))*-6.\nAnswer: -75690 - 2640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2354660 and 464156.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10*l - 84000. Suppose i - 1462 = y + 642, y = 5*i - l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, -3\/4, -1\/64, 1.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 20) + 3 + (-6 - -5) + -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 9, 136, 349, 654, 1057, 1564, 2181?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234b9a4 (base 12) to base 2.\nAnswer: 11010000001011111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -68. Let a = 38.4 - h. Let t = a + -0.409. What is t rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2513 and 6\/21 + 15 + (-495648)\/(-126)?\nAnswer: 27643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 153465 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rddr when four letters picked without replacement from rrdrrrdrrrrrrrrrrrdr.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72564 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhrnh. What is prob of picking 2 n and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 48032?\nAnswer: 4801a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/60 + 14*x**3\/15 + 15*x**2\/2 + 577*x. Let l(o) = 0. Calculate o.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001636 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53917 from 2575.11.\nAnswer: 56492.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14459089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*d**(4\/3)\/d)))\/(d**1\/d)*(((d*d**(2\/7))\/d*d*d)\/d)**(-1\/32))\/((d**(-2\/5))**(-30))**2 assuming d is positive.\nAnswer: d**(-15931\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 + 43. Suppose w - 23 = 5*p, -5*p - 26 = w - 3*w. List the prime factors of -1*v\/(-12)*w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 6, 8 = -p - 5*y - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 11. What is the units digit of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((8 - -2) + -38 + 9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/30)\/((-2)\/(-4)))\/((-412)\/6695)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021819 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 21. Let j = q + -14. Let o = j - -10. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -1 + sqrt(7).\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.809*0.5.\nAnswer: 0.4045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 16 = 0. Suppose -183 - 989 = -w*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -347 - -48. Let u = o + 441. Is 40 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 + 2. Suppose 2*h - 10 = 0, 0 = -2*s - 5*h - 0*h + 29. Suppose 8*b + 6 + s = 0. Let j be b - (2 + -4) - 4. Determine k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -69*h - 4904. Let g be s(-71). Let x(p) = -2 + p**2 + 2*p - p + 4*p. What is x(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 3. Suppose 3*i - 6*i + s + g = 0, 5*s = i - 8. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + h**2 - 2*h + 1. Let n be i(1). Calculate the remainder when 35 is divided by 21 - (n - (1 + -2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (95 - 98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*3\/(-9)*-9. Let o be -6238*(-1)\/6 + (-2)\/u. What is o rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 24. Suppose -5*o + g*j - 5*j - 10 = 0, 5*o - 5 = j. Suppose 2*u - 5*u + 6 = o. Sort 10, u, 4 in increasing order.\nAnswer: u, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21902 + -15953. Calculate the remainder when m is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, k: 5, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izimmizmmzmimizmmiiz. Give prob of picking 1 m and 1 i.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 31*i + 1. Let o be z(2). Suppose -y + 190 = o. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1)*-2)\/(-3). Let s be (-792)\/(-126) + c\/(-7). Solve l - 20 = s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29959 - 21075. Suppose -18*u + f = -14*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 19*z. Let p(g) = 128709*g. Determine q(p(j)).\nAnswer: 2445471*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = a - 21. Let k be 2\/(-3) + (-2)\/(-3). Solve 2*y - a*y + g = 6, k = 4*y + 3*g + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:34 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.65+-0.31488805\nAnswer: 5.33511195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6534.7 to the nearest one hundred.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + 2*l**2 + 2*l + 1. Let h = -15 + 23. Let s(x) = -h*x + 2*x + 1 - 2 + x**2. Let a be s(6). Calculate d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100122122 - -2?\nAnswer: -100122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5489 is divided by 1732.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26708 and 32736?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i + 21 = 89 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 2*u = -28. Suppose -5*v = -3*v + u. Let a be (-2)\/v*(8 - (-3 + 6)). Solve 0 = a*f + 5 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53625 or 2117?\nAnswer: 2117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1932 and 2016525.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 720261.2ms?\nAnswer: 720.2612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**3 + 7*j**2 - 7*j - 23. Let t(c) = -5*c**3 + 3*c**2 - 3*c - 11. Let p(u) = 4*n(u) - 9*t(u). What is the remainder when 13 is divided by p(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 427\/12 - 133\/4. Is 1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 1, -5 in descending order.\nAnswer: 1, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4112 + -1454235?\nAnswer: -1502351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 22*f - 5. Let r(k) = -23*k + 5. Let n(p) = 6*a(p) + 5*r(p). Let b be n(7). Let q = b - 74. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 u when four letters picked without replacement from {d: 2, a: 2, u: 2, n: 3, g: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 29*s**2 - 28*s + 22. Calculate the lowest common multiple of a(28) and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*a + 60, -100*z + 102*z - 37 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -235 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 10 + 16)*(3*w + w - 3*w) to the form a*w + y and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/57*150\/125. Which is the third biggest value? (a) -346 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136.4 + 152. Let j = -16.1 + v. Let x = -8\/3 - -10\/3. Which is the second smallest value? (a) j (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134414 + 311?\nAnswer: 140230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 551207861 to the power of 1\/2, to the nearest integer?\nAnswer: 23478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m + 95 = 22*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsssbsbbb. What is prob of sequence ssbb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122502 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3*w - 3 + 0*w**3 + 41\/2*w**2 + 59\/12*w**4. What is the first derivative of b(d) wrt d?\nAnswer: 118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:33 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566665809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 36245, -1, -3, 4, -229 in decreasing order.\nAnswer: 36245, 4, 3, -1, -3, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (1 - -17) + -1 + -10 + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67745, -67747, -67751, -67757, -67765, -67775?\nAnswer: -67787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(66)\/(sqrt(6)*-2)*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 6, w: 4, m: 6}. Give prob of picking 2 m and 1 i.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218*a*y - 362*y wrt a?\nAnswer: -218*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-10560)*120 - (-179)\/2\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561486793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 21.18. Is h <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 7*a**2 - 8*a - 6. Let v be p(7). Let h = 243\/4 + v. What is the third biggest value in h, 2\/17, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305042198?\nAnswer: 2, 7, 13, 31, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26102 (base 8) to base 14\nAnswer: 41b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110979418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:14 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57, 75, 105, 153, 225, 327?\n\"Answer: u**3 + 11*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 13*z**2 - 25*z - 97. Let w be a(-13). Solve -w*d + 242*d = 70 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28854 and 246.\nAnswer: -28608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8 + -8 + 6)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.187977 millilitres to litres.\nAnswer: 0.005187977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0.2632138\nAnswer: -4.7367862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 27*j + 15\/2*j**2 + 6 - 63\/4*j**4 + 87\/4*j**3 = 0. Calculate j.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 4) + 2*6. Let k(y) = z*y + 26 - 3 - 58*y. Is k(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 3, l: 2, s: 1, c: 8}. What is prob of sequence xsi?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 275?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1873\/2 - 965. Find the common denominator of 37\/990 and v.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 + -56. Let z = i + -76. What is the greatest common factor of 117 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168\/67 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 2*r - 105. Let h be c(0). Are h and -106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 41*i**2 + i - i + 38*i**2 in the form h + f*i + w*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t - 27. Suppose -11*g + 165 + 561 = 0. Suppose 7*b - b = -g. Calculate the least common multiple of 12 and c(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 872 and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - 18)*0*(-3)\/6. Suppose -8 = -l - 3, 5*u - 3*l - 145 = d. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6677 - 5986. What is the remainder when n is divided by 183?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((6\/(-3))\/6)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 104215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -4394406.\nAnswer: -4394405.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 16. Let h(l) = s*l + 3*l - 3*l + 9 - 3*l. What is h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5aa5b0 + 38?\nAnswer: 5aa628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000414121 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5*s**4 - 37*s**2\/2 - 30. What is the second derivative of f(c) wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. Let u be 2\/6*9\/12. Let j be -2*(-20)\/315 + 2\/(-9). What is the closest to j in i, u, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 2*j**2 + 57*j**2)*(-20*j + 79*j + 263*j + 30*j + 97*j).\nAnswer: 30532*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 + 117.9. Which is the nearest to i? (a) 43 (b) 5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -294. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 3) + (1 - -1). Suppose z = 3 + r. Let h(c) = c**2 - 5*c - 1. Let g be h(6). Solve 0*u - z = -g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4\/4 + 16115517*y**3 - 173139893220489*y**2\/2 - 173139941567043*y - 346279915365123\/4 = 0.\nAnswer: -1, 10743679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1328724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45874 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 5212, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, 7, -0.3, 2\/17, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44464 divided by -6.\nAnswer: 22232\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from solsqoln.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khyi when four letters picked without replacement from fyfhffkyfi.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 14158591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10300662 - 32213826 = 13*t. Let w be t\/280 + 1\/10. Round w to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 + 4 - s**4 - 5)*(-s - 1 + 1) + 4*s**5 - 6*s**5 + 4*s**5 + (5*s**3 - s**3 - 3*s**3)*(-2*s**2 - s**2 + 4*s**2) - 8*s**5 + 24*s - 24*s.\nAnswer: -7*s**5 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.19016 rounded to one decimal place?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 861*a - 141804.\nAnswer: 3*(a - 117)*(a + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1 + (-4)\/(-3)). Let d be 91 - (-7)\/((-21)\/x). Let k = 75 - 64. Calculate the greatest common divisor of d and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*m + 15, -3*m + 10511 = -3*h + 10514 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = p - 8*l - 33439, l = p - 33423. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1, -8801\/3, -3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28434.\nAnswer: 2, 3, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*i**3 - 22*i**2 - 7*i - 393480 wrt i.\nAnswer: 72*i**2 - 44*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 27 = 5*t. Let g = -16 + 19. Suppose b + 14 = 3*i, -4*b - 4*i + 5 = -g. Put b, t, 1 in decreasing order.\nAnswer: t, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20812 + 7*c - 20812.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*k + 2 - 14*k - 4*k)*(1 + 4 - 8)*(2*k - 2*k + k)*(13*k**2 - 2*k**2 + 2*k**2) as u + f*k**2 + p*k**4 + y*k + b*k**3 and give p.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-648)\/360 + (-2559)\/120 + (-4)\/(-32).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - -237?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123204666*n**3 + 7486*n**2 + 2769 wrt n.\nAnswer: -739227996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*832\/(-2275)*-5*(-80)\/16\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109687424 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2582 - -101046621674.\nAnswer: 101046624256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/23 - 3) + (-46)\/(-10).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**3 - 11*k**2 - 5*k + 22. Determine t(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 52451*v**2 + 118*v - 944. Let l(k) = -2232*k**2 - 5*k + 40. Give 118*l(z) + 5*q(z).\nAnswer: -1121*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*w - 14 = -2*w, 0 = -4*q + 3*w + 28. Suppose 315 = -q*u + 2*u. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:55 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134749 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p + 12. Determine d(11).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose -n - 4 + 16 = o, -b = -2*n. Let k = 2 + o. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 101\/4, -3 in increasing order.\nAnswer: -3, 0, 101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {j: 1, i: 1, n: 3, z: 4, r: 1, u: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 618662 divided by -101\nAnswer: -618662\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*a + 183 = -18*a. Let v(l) = 19*l + 17. Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 + 330?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 68 - 59 + 4*y**2 - 2*y + 125 - 16*y**3 - 5*y**2. What is u(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 6784, 2, -0.14, -77 in ascending order.\nAnswer: -77, -3\/7, -0.14, 2, 6784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -1\/112*j**8 - 1\/12*j**5 + 0 + 0*j - 7*j**2 + 0*j**3 + 0*j**4 + 0*j**7 + 0*j**6. Find the third derivative of t(h) wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.34 and -19283?\nAnswer: 19279.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 1\/5, 16, 51\/26 in ascending order.\nAnswer: -1\/12, 1\/5, 51\/26, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 + 8 = 0. Factor -4\/11 + 6\/11*f - 2\/11*f**l.\nAnswer: -2*(f - 2)*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39805*c + 1. Give p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 6:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20129 and -37.\nAnswer: 744773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 2*c - 1. Let x be p(-3). What is the common denominator of ((-37840)\/(-180))\/(-11) - -17 and ((-2)\/(-22))\/(1\/x)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/12 - 19*r**3\/6 - 8*r**2 - 11*r. Let q(n) = 4*n**2 + 56*n + 48. Let p(g) = -3*q(g) - 8*x(g). Factor p(z).\nAnswer: -4*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18195521 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2403803 is divided by 160247.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -63*f + 64*f - h, -25*f - 161 = 9*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 22*t + 17*t)*(26 + 7 - 16) - 6*t + 5*t - 2*t + (-t + 4*t - t)*(0 + 0 + 2).\nAnswer: 698*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 18 = 0. Suppose 0 = 29*s - 30*s + 3*l, 5*s + 2*l = 0. Put 2, s, g in decreasing order.\nAnswer: g, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v**2 - 406*v - 31. Let k be j(-27). Let p(y) = -y**3 - 3*y**2 - 2*y - 5. Determine p(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/6)\/((-10)\/585). Let n = u + -79. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 72. Solve 0*b + 3 = -a*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-5))\/(1\/(-30)). Let t = z - -188. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 346165610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-3) + 10)\/2. Suppose -15 = -i - f*i. Suppose 0*b + 5*u - 112 = -2*b, -b - i*u + 57 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:08 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -7\/990 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 = -5*p + 322 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 15529*y - 15506*y - 173, 0 = -p + y - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:54 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:17 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnoononnnn. Give prob of sequence oon.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -28204\/5 and -5642 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021211131 (base 4) in base 16?\nAnswer: 28995d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -6. Let o be (d - -1)\/6*27. Solve -o = -z - 2*t - 0*t, 5*z - 3*t = 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 7:44 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5475 * 88365.\nAnswer: -483798375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(2 - 21\/6). Suppose -72 = -i - 3*i - u*q, 8 = 4*q. Let z be ((-4)\/i*-4)\/(-3). What is the closest to z in -1\/3, -0.3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/548 and 111\/320.\nAnswer: 43840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1924?\nAnswer: 13468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -563244 divided by 11044?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m - 48. Let k be x(-7). What is the second biggest value in 5, -0.3, k, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wnwbnggn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/30 and -47\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 323627.8us?\nAnswer: 323.6278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2*o + 2, 2*n + 0*o - o - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -86*l + 90*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 1 (c) 4 (d) -52 (e) -0.3178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(24))\/sqrt(6) - (-2*sqrt(100) + sqrt(100) - sqrt(100)))\/(6*(sqrt(242) + (-1*sqrt(242) + sqrt(242) + sqrt(242) - sqrt(242)))).\nAnswer: 3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38268 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a factor of 210596582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g + 64. Suppose -g = -3*a - 4. Find the second derivative of -2*u**4 - u**a + 0*u - 4*u + 3*u wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - -7.89. Let u = 7.8 - r. Let k = 0.11 + -1.11. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - d + 12. Let y be f(0). What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 12. Let t be (2 + -6)*h\/18. Do t and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 1*5\/((-10)\/(-34)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*d**2 - 108\/5 + 58\/5*d.\nAnswer: -2*(d - 27)*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-6)*(-4)\/(-8))\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:13 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**3 - 104*f**3 - 11*f + 30*f - 19*f.\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 3787*x - 3753*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - w**2 + w**2 + (-3*w + 5*w + w)*(-3*w - 6 + 6) to the form m + j*w + h*w**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 57.0045. Let f = g + 0.005142. Round f to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*((-84)\/(-16))\/((-36)\/40)*3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 149058?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c*c\/c**(-2\/43)*c*c*c\/(c*c**12\/c)*c*c**(-3\/4))**(-2\/97) assuming c is positive.\nAnswer: c**(3045\/8342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-13)))**(-2\/51) assuming r is positive.\nAnswer: r**(26\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49989.35 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134248265?\nAnswer: 5, 26849653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 51840 = 5*p. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17961000260.69195026 + 17961002436. Let w = 2148.308049 - c. Let g = 27 + w. Round g to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 + 114 + 116 + 8*c + 117.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12535*h**5\/4 - 205569*h**4\/2 - 994951*h**3\/4 + 430149*h**2 - 75553*h + 60 = 0.\nAnswer: -30, -4, 2\/2507, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 + 4*a - 3. Let s be m(-5). Suppose -4*r = 5*c + 3, 4*r + 36*c - 21 = 39*c. Solve 0 = -j + 4, -g + r*j = -s*g + 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.871 - 0.259. Let i = q - -0.13. Put 1, i, -2\/13 in ascending order.\nAnswer: i, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 0, -15, 20 in decreasing order.\nAnswer: 20, 4, 0, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019259425 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31235282.\nAnswer: 2, 13, 659, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 + 0.39. Let m = -0.424 + b. What is m rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 59*j + 65*j - 5 + 7.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 3\/80*m**5 - 5\/48*m**4 - 2 + 1\/30*m**6 - 1\/8*m**3 + 3*m + 1\/8*m**2. Let a(s) be the first derivative of t(s). Factor a(w).\nAnswer: (w - 1)*(w + 1)**2*(4*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 795150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 22624, 5, -0.2, -7, -5, 3, 4 in descending order.\nAnswer: 22624, 5, 4, 3, -0.2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 609 + -232. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**3 - 2*f**3 + 6*f**3)*(-995*f - 474*f + 98*f - 1622*f) to d*f**3 + i + v*f**4 + k*f**2 + b*f and give v.\nAnswer: -5986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 5:01 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402.61 - 35.79. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/9328 and -23\/15264.\nAnswer: 167904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151215 by 2.\nAnswer: -151215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/(-234))\/(2\/(-30)). Which is smaller: 77 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) 2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 111?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/3 + 31*m**4\/3 + 266*m**3\/3 = 0?\nAnswer: -7, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 130 = 50. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 22*t**2 - 31*t + 6. Let i be h(-13). Let p = -764 - i. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 25*j + 13. Let u(b) = -2 + 8 + 12*b - b**2 + 0. Let h(d) = -13*u(d) + 6*x(d). What is the second derivative of h(y) wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*c + 144, c + 4*a - 55 = -11. What is the common denominator of 75\/(-231) + (-4)\/(-22) and ((-210)\/c)\/((-7)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2442 - -2.2442. Sort 2\/47, -2, t in descending order.\nAnswer: t, 2\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4434 divided by -4\nAnswer: 2217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.2. Let z = -1631.0653 - -1631. Let y = z + -0.2347. Which is the biggest value? (a) 4 (b) y (c) 0.1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2684 and 63\/10736?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 27. Let d be a(-5). Let j = -0.5 - -0.2. Let v = j + 0.5. What is the closest to -1\/3 in 1\/2, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.54493238 to three decimal places.\nAnswer: -1.545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/8 - 14967*z**3 - 1791789347*z**2\/4 + 4480595955*z - 89619403225\/8 = 0?\nAnswer: -59873, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-259580)\/(-100) - (-1 - -6) - 48\/60. What is the highest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110220201001 (base 3) to base 7\nAnswer: 6451342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 150515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-31)*(t\/(t*t**(-28)*t))\/t assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + ((sqrt(98) + -2)*-3)**2 + (sqrt(98) - (-3 + -6*sqrt(98))) + 1 + 3.\nAnswer: -196*sqrt(2) + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.2 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 1. Let c(w) be the second derivative of w**4\/4 - w**3\/6 - 5*w**2\/2 - 2*w. Determine c(p) - 4*h(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.74 (b) 1186\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 1 - 3 - 3*c)*(2*c**2 + c**2 - 6*c**2).\nAnswer: 3*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2256 and 738?\nAnswer: 277488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698706 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-2\/5)*(j*j**(-3\/14))**1 assuming j is positive.\nAnswer: j**(111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 975390 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 3*s**2 + 36*s - 24*s)*(-3*s + 5*s - s).\nAnswer: s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 + -2?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(0 - (1 + -2)). Let g = w - -3. Let 23*l**g + 9*l**3 + 30*l + 49*l**2 + 4 + 45*l**3 = 0. What is l?\nAnswer: -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 17.5, 0.3, -19, 4?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5155 divided by 714.\nAnswer: 5155\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10727 + 34194. List the prime factors of n.\nAnswer: 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - 2.6. Which is the closest to 1? (a) h (b) 0 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:25 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6265, 12529, 18793, 25057, 31321, 37585?\n\"Answer: 6264*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t - 3*t + 4 - 2*t - 5. Give n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151721661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:00 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1406, 1405, 1404, 1403, 1402, 1401?\nAnswer: 1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 18694?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + 2 - 3 - 3 + (1 - 1 + 1)*(-4 + 1 + 1) - 2 - 2 + 5 - 4 - 16 - 4 - 2 + 3 + 0)*(-2*r**2 + r - r)*(-8*r - 1 + 1)*(3*r - 5*r + r).\nAnswer: 480*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110141, -110281, -110433, -110603, -110797, -111021?\nAnswer: -111281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25655117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 1, z: 4, n: 4, a: 6}. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteeeeeteee. What is prob of sequence te?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 67 + 3 = 0. Suppose 0 = 2*y - 0*y - 600. Let s = y - 190. Calculate the greatest common divisor of q and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -189, 16, 57, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:56 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 506805, -4, -2\/9, -5?\nAnswer: 506805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2938*p**2*u**2 + 303*p**2*u + p*u wrt u?\nAnswer: -5876*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4398447 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 - -0.6. Let s = 0.1 + -1.1. Let i = s + 1.1. Sort r, i, 0.3 in decreasing order.\nAnswer: 0.3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2. Let b(u) = -28983494*u**2. What is b(q(k))?\nAnswer: -115933976*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/4 - k**3\/3 - k**2\/2 - k. Is 9 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(20) - (sqrt(20) + sqrt(40)\/sqrt(2)))*-4)\/(sqrt(40) + (sqrt(40) - (sqrt(160)\/sqrt(4) - sqrt(40))) - 2*sqrt(360)))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50883877\/21 or 2423041?\nAnswer: 2423041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 3\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*y**2 + 157*y**2 + 3*y**2 + 549*y**2 + 99*y**2 to the form i*y + b + l*y**2 and give l.\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2973.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.618, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 4. Let i be (-22)\/6 - 5\/15. Let l be d(i). Solve -32 = -4*n - t + l*t, 4*n = t + 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.55 - -21. Let y = b + 0.05. Put -1\/6, y, -0.3 in ascending order.\nAnswer: y, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**2 - 6*y + 55 wrt y.\nAnswer: -22*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97498930 and 13614.\nAnswer: 4538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24413846 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -91915583 times -3?\nAnswer: 275746749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 4. Suppose 2*f - 6 = f. Let p be g(f). Solve 4*u + 3*z = -11, z + 4 = p*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g - 12. What is the smallest common multiple of 18 and b(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*t + 10, 11*h - 6*h = t + 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(36\/8)\/(-9). Let i(g) = -22*g**2 + 48*g**h - 24*g**2. Let w(v) be the second derivative of -5*v**4\/12 - 2*v + 9. Determine i(w(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11862, -23743, -35624, -47505, -59386, -71267?\n\"Answer: -11881*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 2*v**4 + 2*v**4 + (1 - 1 + 2)*(4*v**4 + 2*v**4 - 3*v**4) - v**4 + 0*v**4 + 2*v**4 in the form q*v**4 + a*v**3 + y*v + f + d*v**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -0.66\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1542206\/10295 + -3\/2059. Which is bigger: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22006 - 52339. Let s = 48814 + a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w - 3*d - 6 = 0, 4*d + 8 = 2*w. Let i = w - -12. List 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 derivative of 11569*i*o**2 + 64*i*o + 22685893*i - 7*o**2 wrt o?\nAnswer: 23138*i*o + 64*i - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 9. Let r(h) = 2*h**3 - h**2 - h + 2. Let t be r(g). Let b(x) = -x**2 - x + 1. Calculate b(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/6859 + 27415\/20577. Sort 918, j, 0.1 in decreasing order.\nAnswer: 918, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(35)\/((sqrt(225)\/sqrt(5))\/sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/14 - 108\/(-42). Suppose 0 = -a + 5*t + 12, 0*a + 2*t + p = -a. Solve 5*c = -4*l + 21, a*c + c = -2*l + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5799000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 m when three letters picked without replacement from ffwyyffnmfmwo.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {i: 4, m: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*r + 54 = 3*n + 221*r, -4*r - 189 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 3*l + 4, 3*l + 148 = -4*g + 123 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqgqqqggqqgg. Give prob of picking 2 q and 2 g.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j - 28*j**2 + 25*j.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628 - -179897?\nAnswer: 178269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -367800 divided by 15325?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*a**3 - 4*a**2*m + 551*a - 16259578*m wrt a.\nAnswer: 324*a**2 - 8*a*m + 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f + 38. Let i(p) = -6*p - 15. Let o(c) = 2*d(c) + 5*i(c). Let v = -1 - 1. Give o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + (sqrt(108) + -1*sqrt(108) + -2 - sqrt(108) - sqrt(108)) + sqrt(108) + sqrt(108) + 1*sqrt(108) + 2 + 0)*-1)**2 + 4.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 0*j**4 - 5*j**4)*(2*j + 1 - 1) + (-43*j + 10*j**4 + 43*j)*(-4*j + 0*j + 5*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**5 - j**5 + 11*j**5)*(1 - 3 - 2)*(-4 + 2 + 0).\nAnswer: 64*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fkkfkkf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eecp when four letters picked without replacement from nnnpknnkenckbcnbenk?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose -112 = 3*j - 7*j + 5*d, -35 = -j + y*d. Calculate the remainder when j is divided by 11 - (1\/1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125074689 and 2558?\nAnswer: 250149378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-20)*-16*13\/52?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*s**3 - 2*s**2 - 39*s**3 + 4950 - 4952 in the form f*s**3 + y*s**2 + z*s + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - 1*sqrt(1573)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-56) - (-3 - (-1)\/6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/131045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15938 = 5*w - 19087, 3*w - 12 = 0. What are the prime factors of s?\nAnswer: 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/32505 and -29\/12.\nAnswer: 130020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*h**5 - h**2 - 612*h?\nAnswer: 12420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 9. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 4. Let m be n(7). Find the third derivative of 2*v**4 + 4*v - m*v - v + 4*v**2 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 15*u**2 + 15*u**2)*(5*u**2 - 3*u**2 - u**2) + 0*u + 0*u - 2*u**5.\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/37, -0.4, 891, -117\/7 in decreasing order.\nAnswer: 891, -8\/37, -0.4, -117\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 45 + 26 = -d, -4*o - 3*d - 143 = 0. Suppose 15*c - 18 - 87 = 0. Is (c - 10)*(-1 + o) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Suppose 9*h = -i + 3. Is ((-2)\/1)\/(h - (-2)\/(-30)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 708 divided by 12?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017624 is divided by 405.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6)*(9 - 9). Let x = 4 + k. Suppose 138 = x*r - 86. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2262*n*r**3 - n*r - r**3 + 452*r**2 wrt r.\nAnswer: -13572*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-2*sqrt(144)) + sqrt(8)*-4 + (1 + sqrt(2))*1 + sqrt(2).\nAnswer: -73*sqrt(2)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.18 + -0.22. Let v = 2.86 - y. Sort v, 1\/6, 1 in ascending order.\nAnswer: 1\/6, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*y - 6825 + 2096 = -8955 - 9704 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (79 - (0 + -3)) + -5 + (-15 - -22).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 43 = -9. Suppose 16*p = h*p - 3. Factor 6*b**2 - 15*b**3 - 10*b**3 + 23*b**p.\nAnswer: -2*b**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 - 61ba?\nAnswer: -6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 166013150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0 + 0*d**3 + 0*d**4 - 21\/10*d**5 + 11\/2*d**2 - 14*d. What is the derivative of f(k) wrt k?\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51 + 37 - 6*k**4 + 19*k**4 - 3*k**3 + 138*k - 88 wrt k.\nAnswer: 156*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 784558, 784407, 784156, 783805?\n\"Answer: -50*z**2 - z + 784609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(2*p + p - 4*p) + 5*p + p - 3*p + 2*p - p + p)*(-255 + 726 + 314).\nAnswer: 2355*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/6 - 13\/3. Let y = -0.067 + 0.567. Which is the fourth biggest value? (a) -0.1 (b) x (c) y (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -83.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -5*n - 0*n. Let z = n + -41. Calculate the remainder when z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -2 (b) 9\/8 (c) 6 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171) + 2*sqrt(171) + 3 + sqrt(171))))*4)**2 + -5*(sqrt(114)\/sqrt(6)*-4 - (sqrt(304) + sqrt(19))*-1)**2.\nAnswer: 3456*sqrt(19) + 98977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7260.535 weeks?\nAnswer: 50823.745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063735 rounded to 4 dps?\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = -4*u, 5*u - 2*v = -4*v - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.878 * -7.\nAnswer: -48.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 11*f**2 + 19*f - 10. Let b be j(9). Let u be (-1 + b + 4)*2\/(-8). Put 0.2, u, -4 in ascending order.\nAnswer: -4, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awfawgvwwfvfcf. Give prob of sequence aw.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 34881 = -14574. List the prime factors of z.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29092410)\/6394200 + (-2 - (-3 + -2)). Let m = -2\/10657 + d. What is the common denominator of m and 25\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 13320.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 34. Suppose 6*f = v + 123. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -413 - 1072, x = 3*v - 1500. Suppose 4*f - 50 - 362 = 0. Let z = v - f. What is the highest common divisor of 36 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21251245*j**2 + 106611198?\nAnswer: 42502490*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5322 by -1041.\nAnswer: 1774\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57187 and 7579.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**2 + 2654 - 792*h + 38*h**2 - 499 - 35*h**2 with respect to h.\nAnswer: -2*h - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:27 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031892 to the power of 1\/2, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 2. What is f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7106\/(-33)*(-48)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = -4*l + 5, 5*l + 5*i - 10 = 0. Suppose -l*q = -0*q - 10. Suppose u + 4*r = -2, -2*r - 36 = -q*u + r. Solve -3*j = -j + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320826 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -166852 divided by 707?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 25)*(-2)\/(-6)*3. Is 2 + (-66)\/c - (-18739)\/63 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 + 0*o**2 + 0*o**2 + 3*o.\nAnswer: 8*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277779747?\nAnswer: 3, 7, 31, 426697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4771\/5 + (-2)\/(-4 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1842, 9178, 24780, 51420, 91870?\nAnswer: 148902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o**2 - 23*o + 176. Let u be p(48). Round u to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8280915 divided by 2760305\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.7182 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*x - 63, 5*x - 242 = -5*n + 93. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 8*q**5\/5 + 15*q**2 - 67*q - 84. Differentiate n(p) wrt p.\nAnswer: 32*p**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 5, 8, 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = -6*m. Suppose 3*p - o + m = -0, 4*o + 16 = 0. Is (-127)\/(p - -2 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27572414 or -27572413?\nAnswer: -27572413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.910518 rounded to the nearest integer?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9679 + 4881 - 9*h**3 + 4798.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(108) + -2*((sqrt(108)*2 - sqrt(108)) + sqrt(108)) + -5 + 1)**2.\nAnswer: 576*sqrt(3) + 3952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134\/7 + 853\/42. Let v = 2573\/30 - 84. Let n = v - x. Which is the smallest value? (a) 3 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*z**3 - 3*z**4 - 2 - 279*z + 2 - 242*z**3 wrt z?\nAnswer: -36*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63661231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.52697 and -0.1.\nAnswer: 0.252697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:21 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -1\/30*d**5 + 0 + 0*d**4 + 2*d**2 - 2*d + 13\/3*d**3 - 1\/120*d**6. What is the first derivative of v(g) wrt g?\nAnswer: -3*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:22 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let y be (4\/6)\/(2\/(-18)). Let g be i(y). Let f = g + 2. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800993*u**3 - 267000*u**3 - 266995*u**3 - 267000*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 7 + 1125*l**2 + 22 - 2*l - 1124*l**2 as m*l**2 + v*l**3 + p*l + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + -0.76. Let n = 1.8 + w. Let b = -0.7 + n. Are -1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1)*-3*-6 - (6*(sqrt(171) + 0) + (sqrt(171) - (sqrt(171) - (sqrt(171) + (sqrt(171)*-2 - sqrt(171)))))*5)**2.\nAnswer: -2754 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -3. Suppose 3*g = a*g - 10. Suppose -4*v = -g*v - 44. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -27*w - 2213. Let f be g(-82). Solve 0 = 2*i + 7 - f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/35, 3, 4, 2\/9 in descending order.\nAnswer: 4, 3, 2\/9, 1\/35, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 601 and 603 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (5 - -166) + -5. Suppose -26 - 14 = 2*b. Let z be ((-15)\/(-20))\/((-1)\/b). Calculate the highest common divisor of z and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371629 divided by 1\nAnswer: -371629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**4\/24 - 41*c**3\/6 + 20*c**2 - c. Let f = -13 + 3. Let i be b(f). Which is smaller: i or -59\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 763*w**2 - 7 + 9 + 1442*w**2 + 2123*w**2 in the form y*w**2 + g*w + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -14 - (-60 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l + 1, 5*l + 210 = 5*q. Suppose -q = -4*f - 27. Suppose 2*j + 3*k = f + 4, -2*k = 3*j - 18. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 2\/181, -0.0217?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-12)*(-2 - -8). Let c be 9\/18*4*n. Let j be (24\/c)\/((-9)\/(-8)). Put -8, j, -1 in increasing order.\nAnswer: -8, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**20\/w*w*(w**(3\/16)*w)\/w*w**(3\/11)\/w*w**25\/w assuming w is positive.\nAnswer: w**(7649\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3969, 0.3, 0 in descending order.\nAnswer: 3969, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {g: 1, i: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -20*q**3 - 6*q**2 + 6*q + 15. Let x(f) = -f**3 - f**2 + f. Let s(g) = w(g) - 6*x(g). Find the first derivative of s(y) wrt y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/105 - 1788\/252.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/81748 and 16\/61311.\nAnswer: 245244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069622123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-9 - -3) - 4) + (9 - 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iafatitx. Give prob of sequence fa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34311103 (base 5) to base 6\nAnswer: -10325232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:56 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 48346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 2. Let l be (1\/1)\/(2\/(-14)). Let w = 63 - 27. What is the least common multiple of q(l) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21144, 42283, 63420, 84555, 105688, 126819, 147948?\n\"Answer: -g**2 + 21142*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 5:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 14*q + 36955. What are the prime factors of q?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1111 - 8376?\nAnswer: -9487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 1, h: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95621?\nAnswer: 95621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 2 - (-11 - (-6 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9364*y - 800368 = -3694*y + 570722 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 2. Let i = 0.7 - v. Let h = -3 - -2.5. What is the second biggest value in h, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmg when three letters picked without replacement from {m: 2, d: 5, g: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209549 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 9*c**2 + 12*c + 12. Let p = 280 + -286. Is f(p) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 8 = -m. Suppose -m = -4*a + 118. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4663212?\nAnswer: 2, 3, 79, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 v when four letters picked without replacement from mbbavmbqb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 48 = 20*j. Solve -j*y = -2 - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3 + 1. Let w = -65 - -61. Let s be -5*((0 - -1) + 0). Put t, w, s in decreasing order.\nAnswer: t, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p - 2*p**2 + 4*p)*(-2*p + 6*p + p).\nAnswer: -10*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379595 is divided by 6078?\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2261440581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 44. Let s be y(43). Let l be 24\/9*(77370\/(-8))\/s. What is l rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 266094.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eecuueecurc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*v + 1)*(-4*v + 3*v - v)*(3*v - 5*v + 3*v) - 14*v**3 + 0*v**3 - 4*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -35*s**3\/3 - 1877*s**2\/2 - s + 474. What is the first derivative of y(x) wrt x?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -39. Calculate the common denominator of y + 0 + (-52)\/8 and 4\/(-18) - 1484\/(-360).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 2*d + 31 - 37 + 7 + 23.\nAnswer: d + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181825 by -1581.\nAnswer: 181825\/1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -9 - (2 - -1). Suppose -y = 3*b - f, -4*b - y = -2*y - 20. Sort 3, b, -1 in descending order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.666929 kilograms?\nAnswer: 3666929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/9)\/(3047\/48198).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3780*p**6 - 2*p**2 - 881*p wrt p?\nAnswer: -453600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000698 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 11 (b) 1\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3449*u + 832*u + 875*u + 871*u + 879*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/40 + p**4\/12 - 323*p**3\/6 - 222*p**2. Differentiate m(o) wrt o.\nAnswer: 9*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/137?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 + 538898*m - 538897 = 0. What is m?\nAnswer: 1, 538897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7288056539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*(6\/24)\/(9\/(-72))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1338 - -1344. Which is the nearest to h? (a) -0.5 (b) -4 (c) -0.4 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 55*g + 2. List the prime factors of d(1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*y + 12*y + 6*y + 2 - 39*y - 52*y to the form s + u*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 0 = -0. Solve k = 3*f + 3 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 0.05.\nAnswer: -0.5, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - 13. Let f = 27 + l. Let v be 10\/(-1) + (-9 - (-8 - 4)). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -15. Suppose -4*b - 8 = 0, -3 = -2*x + 4*b + 5. What is the remainder when 14 is divided by -6*(l\/3 + x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -466 + 468. Sort 32, r, -3.\nAnswer: -3, r, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-2)\/(-2))\/2)\/((-12)\/(-120)). Suppose 0 = -i*f + 4 + 6. Solve -v - 7 = -f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(2)*3*-3.\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.64 - 6.64. Let k(x) = -x. Let q be k(1). Put q, d, -5 in descending order.\nAnswer: d, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 102.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.84 + 0.16. Let u = 1083.03 - 1091. Let n = w + u. Round n to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3)\/c)\/(c**(2\/15)*c)*(c**(2\/7))**(-12))\/(((c**(2\/3)*c*c*c)\/c)**(-34))**(-39) assuming c is positive.\nAnswer: c**(-371794\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44234*p**4 - 8126*p - 1 wrt p?\nAnswer: -530808*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) -0.1 (b) -3 (c) -0.01 (d) -247\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*o - 4 - 7 + 9)*(-1 - 1 + 4) to the form b*o + y and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7546173477.\nAnswer: 3, 23, 7517, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13707 is divided by 6614?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 201, 319, 437?\n\"Answer: 118*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9762028399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14965, -14991, -15017, -15043?\nAnswer: -15069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3811, 7548, 11285, 15022, 18759, 22496?\n\"Answer: 3737*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -2. Let t = 1176 - 1175.6. Which is the third smallest value? (a) 1\/6 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31525, 126229, 284117, 505189, 789445, 1136885?\n\"Answer: 31592*l**2 - 72*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -26*v - 5*w + 3219, 0 = -v + w + 1065. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - -76. Let y = p - 258. Round y to 0 dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 2 + sqrt(252) + 5 - (6*(2 + sqrt(252) - sqrt(252)))**2.\nAnswer: -137 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 333 = -3*q. Let u = q - 59. Suppose -17 = 5*l - u. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 330349483.39\nAnswer: -330349475.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.7642ug in grams?\nAnswer: 0.0001587642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 - 163 = -11*i. Suppose 6*b = i + 8. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffffffffaffffffff.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, p: 5, t: 4, d: 1, u: 1}. What is prob of sequence dpux?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tottootttoooootooott. Give prob of picking 1 o and 1 t.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3\/2, 2\/335?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 10, 29, 66, 127, 218, 345?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/33)\/v**(-2\/3))\/(v**(9\/4)*v**(-4\/3)))**19 assuming v is positive.\nAnswer: v**(-779\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -93, -213, -381, -597, -861, -1173?\n\"Answer: -24*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 - k**3 - 4*k + 168*k**2 + 4*k - 157*k**2. Calculate a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let b(m) = -9*m**2. Determine b(u(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 3) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-1)*j*j)\/j))**(19\/6)\/(j**(-1)*j)**22 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 5*g = 114. Sort g, 1, 6 in descending order.\nAnswer: 6, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/60)\/((-637)\/(-728))*(-250)\/(-90).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1187709.999976 + -1187717. Let a = 6 - 13. Let b = j - a. Round b to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-351)\/9*(-8)\/3.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491530169.\nAnswer: 13, 197, 191929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-6 + 15) - (54 - 18)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96457853 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-943)\/(-246)*54\/276*-1*8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513278.8 weeks to nanoseconds.\nAnswer: 310431018240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-5 - (1 + 1 + -17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 229, 348, 467?\n\"Answer: 119*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0195495 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 60*m + 4. Let n(z) = -3 + 7 + 60*z + 1. Let y(u) = -4*i(u) + 3*n(u). Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 0.3, -21, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.376999 decades to years.\nAnswer: 83.76999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4251.75 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*k**2*p**3 + 18*k**2*p**2 + 2*k**2 + 127*k*p**4 + 3*k*p - 9*p**2 wrt p.\nAnswer: -918*k**2 + 3048*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(38)\/sqrt(2))*1 - sqrt(57)\/sqrt(3)*2) + 4.\nAnswer: -2*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7711 divided by 87664\nAnswer: 7711\/87664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113871, 455482, 1024835, 1821930, 2846767, 4099346?\n\"Answer: 113871*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p. Let i(z) = -85*z**2. Let f(k) = 23463*k**2. Let q(y) = 4*f(y) + 1106*i(y). What is o(q(h))?\nAnswer: 632*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 16*a**4 - 140*a**3 - 568*a**2 - 652*a - 240 = 0?\nAnswer: -5\/4, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 34, -0.4, -0.1, 2\/3, -1\/4.\nAnswer: -0.4, -1\/4, -0.1, 2\/3, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57870.\nAnswer: 2, 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let r be i(5). Let f = r - -6. Let v(u) = 2*u + u - u. What is v(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 - 2*f + 2. What are the prime factors of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1761009964 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106821*a - 11207 wrt a?\nAnswer: 106821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -104671997599041.\nAnswer: -104671997599034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -1119 + 7566. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1331224321?\nAnswer: -1331224320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 0 + 16351*k**3 + 0 + 2*k - 16354*k**3 - 5*k**4 + 0*k to g*k**3 + n + q*k**4 + l*k + o*k**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, -1 in decreasing order.\nAnswer: 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. What is the common denominator of (-4)\/((-28)\/19) + l and 35\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039995 divided by -5?\nAnswer: 207999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2) + 1\/(-2) + 0. Let d be (50 + p)\/3*1\/2. Suppose -273 = d*s - 11*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 9\/8*g**4 - 1\/40*g**6 - 1\/20*g**5 - 112*g**2 + 0 + 0*g + 9\/2*g**3. Determine b, given that l(b) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -437*o + 14*o**2 + 437*o - o + o - o**2 + (o - o - o**2)*(0 + 2 - 1).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -284671202.4 and -25.74?\nAnswer: 284671176.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119622 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 + 7*h - 7. Let a be n(5). Suppose -a*k - 8 = -7*k. Suppose 31 = j - 5*v, k*j + 2*v - 34 = -2*v. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221280589 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/30*(8 - -2). Solve -2 = -2*m - 3*b, -2*m + t + 9 = -2*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1854456.\nAnswer: 2, 3, 77269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10390*w - 3. Let i(j) = -3377*j**2. Determine t(i(c)).\nAnswer: 35087030*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 40 = 7. Suppose 0 = 4*k + 494 + 194. Let o = k + 293. What is the highest common factor of o and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 6*g + 1 + 2*g**2 - 3*g)*(2 + 0 + 2 + (2 - 4 + 0)*(2 - 2 - 2)).\nAnswer: 16*g**2 + 32*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6\/210 + v**5\/20 + 25*v**4\/84 - 151*v**3\/42 + 60*v**2\/7 + 287*v - 4. Solve t(x) = 0 for x.\nAnswer: -5, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 19*s**2 - 24*s - 28. Suppose d = 3*h - 46, -3*h = 4*d + 9 - 65. What are the prime factors of r(h)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*z**3 + 10*z**2 - 2 + 1 + 0 - 16*z**3 in the form r*z**2 + o + n*z**3 + c*z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*d + d - 65, 3*d = -2*i + 39. Suppose 0 = 7*b - 11*b + i. Solve 6*s - b = 9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyh. Give prob of picking 1 y and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/56 - (-810)\/(-14). Let n = p + 61. Let m be (-3)\/(-2)*4\/3. Solve -m*j - 7 = -n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-20)\/75)*(-9)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*-22*(-5)\/(-50). Let i(r) = -r - 5. Let z be i(-4). Is z at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l + 937. Let y be w(37). Calculate the highest common divisor of 488 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4311785 by 1055.\nAnswer: -4087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*a = -387, -3*w + 2*w + 5*a + 109 = 0. Let s = w - 120. What is the least common multiple of 4\/10 + (-28)\/(-5) and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u**2. Let f(c) = -43*c**2 - 294*c. Calculate f(j(o)).\nAnswer: -75852*o**4 - 12348*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23854661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 1508.\nAnswer: 37700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8263*q**3 + 130*q**2 + 3299320*q?\nAnswer: 49578*q + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 82 - 82 + g**2. Let u(d) = 28*d. What is v(u(s))?\nAnswer: 784*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -214258, 1, 1\/2, 8?\nAnswer: -214258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27*u**2 - 4*u - 12. Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 13) to base 9.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 16*s**5 - 168*s**4 + 65*s**3 + 158*s**2 - 81*s + 10 = 0.\nAnswer: -1, 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -845*v**3 - 310765*v**2 + 1010625*v - 818055 = 0?\nAnswer: -371, 21\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -89 + 97 + (-4 + 8 - -4)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 37 = -4*a, a - 4*a + 5*g + 16 = 0. Let s be (8\/5)\/(a\/(-15)). Suppose s*v - 9000 = 5*v. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:30 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(43\/(1204\/(-210))))\/(59\/3)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (28\/8 - 3)\/(3\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 112*y**2 + 228*y - 654. What is c(54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 36 = 2*v, -17 = -v - 0*v - q. Solve v*z - 21*z + 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -20, -30, -38, -44, -48, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3801*p + 3457. Determine q(1).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20001100 (base 3) to base 13\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 874 = -41*x - 474. What is the greatest common factor of 212 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + g)*(-3*g**2 + 3*g**2 - 2*g**3) - 3*g - g**4 - 25 + 25 + g**2.\nAnswer: -5*g**4 + g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243559376.\nAnswer: 2, 521, 269141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 29*h**2. Let w(q) be the second derivative of -q**3\/2 + 25*q. Give k(w(t)).\nAnswer: 261*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 776 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -25771*w**2 - 48*w - 481. Let d be j(-9). Round d to the nearest ten thousand.\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537504 is divided by 728?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52826 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -4*m. Let y = -0.5 - -3.5. Let w = -3 + y. Sort w, -4, m in ascending order.\nAnswer: -4, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 - 3002*l**3 - 2999988*l**2 - 993963960*l + 4024048032 = 0.\nAnswer: -1002, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -212598.\nAnswer: -212603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 17*n**2 - 808*n - 810*n + 9*n**2 + 1614*n.\nAnswer: 32*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6755 less than 19547701224?\nAnswer: 19547701224.6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -979 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-47034)\/(-871).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*i + 995, -8*i + 3*i = -h + 177. Which is smaller: h or 2033\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 5, 16, -2, 1 in increasing order.\nAnswer: -48, -2, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 22, -31, -554 in descending order.\nAnswer: 22, -1, -2, -31, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, 183, 5\/2, 33.1, 4, -110, 0.1?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13003 + 3?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + 1 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 296)\/4 + (-6)\/2. Suppose -4*h = 2 - 74. What is the greatest common factor of f and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*v**2 - 1)*(7 - 7 + 21185*v - 23979*v).\nAnswer: 8382*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - (-320)\/(5 - -15))*(-7)\/25?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*z + 15, 0*z = 3*z + 3*n + 9. Let f(m) = -m**2 + m + 13. Is f(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/44 and 161\/996798?\nAnswer: 1993596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*n - 6 = 0. Put -2, n, 5 in increasing order.\nAnswer: -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i - i - 114. Suppose 4*r - 2 + 0 = -2*s, 2*s = -i. Solve r*j = 4*o + 24, 2*j - 20 = 6*o - 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17\/((g*g**(-3))\/g)*(g**7)**(-1\/90) assuming g is positive.\nAnswer: g**(1793\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let m = s - 2.8. Let x = -221 + 226. What is the nearest to -1\/6 in -0.5, x, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -163\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 422891.2km?\nAnswer: 422891200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5139 - 2663. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4710.719 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 3. Let d be (0 + -1)*1 - -25. Suppose h + 11 = d. What is the remainder when h is divided by f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w**2 - w - 13. Let m(n) = 19*n**2 - 2*n - 12. Let b(x) = 5*i(x) - 6*m(x). Let t(g) = 25*g**2 - 4*g - 4. Determine -4*b(l) - 7*t(l).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 8:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-6) + -3 + 5 + 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*((-1218)\/72)\/(-29))\/((-2)\/12).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.2. Is y at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = 7*p + 289. Let k be 8\/p*(-27 - -12). Find g, given that -3\/2*g**3 - 1 + 1\/2*g**2 + k*g + 1\/2*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/19)*y**(-1\/6)*(y**(-1))**(-4\/29) assuming y is positive.\nAnswer: y**(253\/3306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/72 + c**5 - 30*c**4 - 5*c**3\/2 + 3*c**2 - 2*c. Let u(o) be the first derivative of x(o). Determine t so that u(t) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2761 + 325. Let z be (144\/h)\/(2\/(-7)). Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-196)\/8)\/(-7)*24. Let r = n + -841\/10. Which is the nearest to -1? (a) 2\/7 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8605, 34632, 77997, 138694, 216717, 312060, 424717?\n\"Answer: -m**3 + 8675*m**2 + 9*m - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/6 + 2*x**3\/3 - x**2 + 2*x\/3 - 68. Solve q(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3*y**2\/2 - y + 3. Suppose -5*n - 3 = 5*b - 18, 0 = -3*n + 2*b - 11. What is the units digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1*2) + 1. Let x = 5 + s. Suppose -2*q - x*q = -n - 13, 3*q + 6 = -4*n. Solve -o - 2*o + q*k = -18, -o - 4*k = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -2\/9, 16\/17, 0.5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 19*w**3 - 4141*w**2 + 1454922*w wrt w?\nAnswer: 12*w**2 - 114*w - 8282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*c = 7, -3*k = -2*c + 15 - 16. Let x(d) = 2*d. Give x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713533.\nAnswer: 271, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5931972*s**2 + 2292286*s**2 - 8228614*s**2.\nAnswer: -11868300*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.7, 0.5, -2\/3, 0, -1, -3\/5, -280?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9670*i + 38701. Determine d(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276.666 millennia in decades?\nAnswer: 827666.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9569 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 19 = 2*j, -5*j - 11 = 5*g - 46. Let q(y) = 5*y - 33. Let i be q(6). Is 16 a factor of (-22 - j)*4\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 151?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17519*n - 108*n**2 + 1461*n**2 + 17519*n.\nAnswer: 1353*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r + 777. Calculate the lowest common multiple of 378 and y(-17).\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8) + -1 + -4)**2 + -3.\nAnswer: 20*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679205969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let s(p) = -596*p**2. What is s(g(o))?\nAnswer: -596*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 8:37 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/40*1\/3. Let b = 411 + -417. What is the third smallest value in b, 0.4, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let f be (3\/(v*-3))\/(-1). Let p(i) = -1. Let h(x) = -x**3 - x**2 - 8*x + 10. Let z be h(0). Let s(k) = -2*k + 10. Determine f*s(r) + z*p(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (15 + -42 + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(24)\/(sqrt(12) + sqrt(24)\/(sqrt(4)\/sqrt(2))).\nAnswer: -1 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*5*-4)\/(sqrt(640) + -3*sqrt(640)*-2 + sqrt(640) - sqrt(640)).\nAnswer: -5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1556207.9 to the nearest 1000.\nAnswer: 1556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 344*l - 338*l - 4 + 3*l**3 - 4*l**3 - 5*l**2. Let d(z) = 148*z + 7 + 2*z**3 + 9*z**2 + 0*z**2 + 148*z - 307*z. Determine -4*d(u) - 7*w(u).\nAnswer: -u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*i + i**2 + 15*i + (-6*i + 5*i - 6*i)*(2 + 4*i - 2) + (3*i - i - i)*(-i + i + 2*i) - i**2 + 0*i**2 - 4*i**2 + 4*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/197 or 0?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 62*l**2 - 18*l - 60. Let j be f(21). Solve 4*b = -12, -j*m - 2*b + 10 = 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40233073, 40233072, 40233071, 40233070?\n\"Answer: -z + 40233074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i + 144 = 2*w, -59 = -w - 4*i. Solve -64*s + 15 = -w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9214.2 meters to centimeters.\nAnswer: 921420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 9 + (20 + -21 - (-2 + 6) - -2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let h be 2\/(-4) + 15\/(-6). Let t be 2*h\/(-4 + 1). Let i(r) = r**2 + 6*r**2 - 4*r**t. What is i(n(x))?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + r + 88, 3*r + 28 = -5*t - 120. Let o = t - -31. What is the second smallest value in -0.3, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let d(g) be the first derivative of -4*g**3\/3 + 20. Give d(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23459880 to the nearest integer?\nAnswer: 4844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -35*a**2 - 4584*a + 190. Calculate y(-131).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 176215911 and -12.43671?\nAnswer: 176215923.43671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(12600\/(-6075))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.23241 rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 22 = -2*d, 4*d + 293 - 325 = -5*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 0. Let m = j + 2. Let f be 5 - (-1 - 1 - -5). Which is the biggest value? (a) -5\/2 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**3 + 1\/12*j**4 + 0*j**2 + 7*j + 0. Let z(b) = 7*b**2. Calculate w(z(d)).\nAnswer: 49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - 5*sqrt(130))*-2 + sqrt(130) + sqrt(130))*2)\/((2*sqrt(60)*-3 - sqrt(60))\/sqrt(6)).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1933 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 11*z + 13*z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 22, 6, 10, 40, 102, 202?\n\"Answer: h**3 + h**2 - 40*h + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 12 = -22 + 65 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3140*m + 3 - 3148*m + 6287*m - 3.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -53416*u**2. Let c(d) = -453*d**2. What is c(y(k))?\nAnswer: -1292530882368*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -2396576.\nAnswer: 3\/299572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -935080 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 1, -3, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, -95, 47, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 6. Let y be b(9). Suppose y = -5*x - 38. Let w = 13 + x. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 234*x + 1797. Let q be f(-8). Let r(p) = -p**3 - 11*p**2 - p - 15. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus -0.04165?\nAnswer: -0.74165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 9. Suppose -5 = -2*w - v + 5, 5*v = 4*w - b. Suppose -207 + 20 = -w*k + 4*t, 0 = -5*k - 4*t + 203. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503181 divided by 441.\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 3*a - 30, 560*a + v = 564*a - 59 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q - 144*q + 88*q + 3660 = 0 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 5:25 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrtrrtrrrttrt. What is prob of sequence ttr?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78928\/19 + 4154. Put 2, -10, 1\/32, d in ascending order.\nAnswer: -10, d, 1\/32, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/17 + 4\/(-6). Let u = 95\/357 - i. Let f(x) = -x**2 - x + 17. Let w be f(4). Which is the nearest to -3? (a) -2\/13 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 9*j - 1. What is o(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 5*w**2 - 2*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724240693, -1448481385, -2172722077, -2896962769?\nAnswer: -3621203461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 871740.7ml?\nAnswer: 871.7407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*u + 6*u - 19, -3*d - 36 = 5*u. Let h be (d + 3 - -3)*2. Calculate the least common multiple of 18\/(h\/5 - 35\/(-25)) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473660 less than or equal to -473659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295982093 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: Simplify ((h**38*h\/(h**(-2\/39)\/h*h))\/((h*(h\/(h*h**(-26\/5)))\/h)\/(h\/(h*h\/(h*h\/h**15)*h*h))))**(-1\/32) assuming h is positive.\nAnswer: h**(-3481\/6240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 36811108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 + -2 + 3 + 0. Calculate the highest common divisor of w and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + 0*p**3 + 122*p**4 - 131*p**4 + p + 5 + 2*p**2 - 1 to r*p**2 + u*p**4 + a + k*p**3 + g*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2772)\/24)\/(858\/(-572)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054846 divided by 2?\nAnswer: 2027423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/((-6)\/7))\/((-7)\/21). Let k be 1\/4 - 571\/(-4). Suppose -y*q - k = -472. What is the remainder when q is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 559*t**7\/210 + t**5\/60 + 5*t**4\/6 - 136*t**2 + 2. What is the third derivative of r(o) wrt o?\nAnswer: 13416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 12:02 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 73755 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 909\/(-5922) - 21*(-91)\/13377.\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.351 (b) 0.3 (c) 804.4 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/((-34)\/68))\/((-78)\/18)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.203, 15, -1, 0.08 in decreasing order.\nAnswer: 15, 0.203, 0.08, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 435\/85 + -5 - 4061\/(-17). Let p = -238 + z. Let h(d) = -7*d**3 + 2*d**2 - 1. Calculate h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 - 134. Suppose -5*b - s + r = 0, 2*b + 3*b = 5*s + 235. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {e: 1, p: 1, c: 2, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738425.\nAnswer: 5, 29537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 3*l - l**2 + 3*l**2 - l**2.\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -71187 + 13647. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597 = 122*r - 14*r - 49*r - 656*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n\/(n\/n**8)*n**(-1\/10)\/n**(1\/2))**(39\/7) assuming n is positive.\nAnswer: n**(3588\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1)*1\/(-2). Suppose -20 = -28*h + 92. Suppose h*g - f = 11. Solve 0 = 2*l + g - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 9121.\nAnswer: 18242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 16*g - 19. Determine y(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6957813*r - 48704702. What is x(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 2 + 19*u + 11*u.\nAnswer: 29*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:49 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose v - 2*v = -j. Let i(g) = 0*g + g + v - 2*g. Calculate i(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -219643\nAnswer: 8\/219643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2 + 8. What is a in 2\/7*a**j - 2\/7*a + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 708\/140715*106*39\/8?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -2.7. Let f = g - 0.1. Which is the nearest to 2\/7? (a) 2\/5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32\/63 - 26\/63. Which is the biggest value? (a) 0 (b) s (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14361 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*t + 5*o - o, -4*t + o - 13 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52777, 211063, 474875, 844219, 1319101, 1899527, 2585503?\nAnswer: 3377035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p, -4*l + 3*p + 32 = 0. What is the least common multiple of 2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*m - 0*a + 2, -m + 5 = -a. Let c be m\/5 + (-2)\/5. Solve -5*b + 2*b = c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r - 19. Let t be (-10)\/3*(-9)\/r. What is the second derivative of f - f**t - f + 2*f - 2*f**5 wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75861920 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + -2 - (-205 + -163 + 377)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -273 - -565. What is the remainder when u is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -34. Suppose 13*u - 16 = c*u. Solve 6 = u*n - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 10*q = 120. Let z(w) = 904*w - 113. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45 (b) 16 (c) 10 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/4 - y**3 - 5*y**2\/2 - 2*y - 1523. Let b = -1 + -2. Calculate z(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 27\/4. Which is the biggest value? (a) x (b) 2\/13 (c) -0.1 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 1, -13, -43, -95, -175, -289, -443?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 13) to base 8\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -35 - (-2 - (2 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 - l**4\/24 - l**3\/6 + l**2. Let d(a) = 3*a**2 + 18*a + 2. Suppose -9*b - 2*b = 66. Let w be d(b). Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2603 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 202950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**3 - 9 + 8 - 35*u**3 + 7*u**3.\nAnswer: -61*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14310 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15c567 (base 13) in base 11?\nAnswer: 33a835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932167 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11245 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose 30 = -k*z + 5*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -367 (c) -1\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1057 - s**3 + 4*s**2 - 2*s - 1057 as m + t*s + n*s**3 + p*s**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b + 30*b - 26*b - 60*b to m*b + g and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011010 (base 2) to base 16.\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 6*r. Let l be (-1)\/(-2) + 14\/4. Let m be b(l). Is 3 a factor of (-13)\/(-4) - 2\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 33. Let z be k(20). What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-1)*((-20)\/(-4))\/(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2 + 388*j**5 + 204*j**4 + 301*j**3 - 202*j**2 - 35*j - 662*j**3 + 8*j**5 = 0.\nAnswer: -1, -2\/11, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 395, 1206, 2435, 4082, 6147, 8630, 11531?\n\"Answer: 209*a**2 + 184*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p - 11. Let d(f) be the first derivative of 75*f**2\/2 + 48*f + 137. Let h(z) = 2*d(z) + 9*n(z). Let m(v) = -3*v**2. Give h(m(b)).\nAnswer: 63*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 21*y**3 - 324*y + 543*y**2 - 84 - 1151*y**2 + 509*y**2 = 0.\nAnswer: -2, -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/105 and 52\/1125.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3968201398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v - 4 + 4*v + 4*v**3 + 3 - 3*v**3 - 2*v - 5*v**4 to the form r*v**3 + l*v + y + t*v**2 + h*v**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + 3 + 2*((sqrt(112) + sqrt(112)*1)*-5 + sqrt(112) - (sqrt(112)*1 + -2)))**2.\nAnswer: -1920*sqrt(7) + 44941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1807 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-25)\/(-20))\/(3\/168)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:11 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24821.35ms?\nAnswer: 24.82135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 10*l**2 + 24*l - 41. Calculate w(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21*2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What comes next: -19303, -19327, -19365, -19423, -19507?\nAnswer: -19623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 5*p**2 + 15*p - 24. Let a be i(3). Solve -4*x + a*n + 3 + 0 = 0, 0 = -4*n + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 1. Let c(z) = -z - 7. Let j be c(-8). Let g be f(j). Suppose w - 14 = -2*p, -3*p - g = 2*w - 27. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20480013?\nAnswer: 3, 758519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4\/13 + 42*m**3\/13 + 70*m**2\/13 - 114*m\/13 = 0.\nAnswer: -19, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7122745183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/330 and 83\/6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 72 - 117 = 3*z, -2*u + 18 = -z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0216 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9*x + 361 = 5*x, -5*x = 2*r - 735. Let c = -363 + r. Solve 19 = -c*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 500 = 15*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 9 + 15. Let d = 2 - 4. Put d, f, 3 in increasing order.\nAnswer: f, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 0, 6*i + 2 = 5*f + 2*i. Suppose -f*t + 868 = 2*t. Let u = t - 152. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15438316 is divided by 1007.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 956358 and 19928212?\nAnswer: 2331600804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 91938*u + 1011197 = 0. What is u?\nAnswer: -91927, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (95 - 91)*2\/4. Solve -4*l + 2*l - 4*j = -22, 0 = -5*l - c*j + 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*q + 6. Let s(v) = v**3 + 6*v**2 - v + 2. Let n be s(q). Suppose 3*u = 4*u - n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*u - 5, -u + 4 = 4*l. Let c be 1\/(-2)*(-5 - -5). Let a be ((c + l)*6)\/1. Solve a*z = z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3230 + 3242. Solve 3*g = 5*c - 0 - 19, 0 = -3*c + 2*g + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.078 - 0.078. What is the third smallest value in -2, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8020.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2264*4*21\/(-56). Let p = -20483\/6 - n. Calculate the common denominator of 97\/250 and p.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82427002 and 94202288.\nAnswer: 659416016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112236*x = -56067*x - 56123*x + 258 + 18 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/32*8 - (-4)\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 3*j + 252 - 6*j as x + o*j and give x.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 12*r = 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**3 - 4 + 4 - 14*q**3 - 3*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68781, -68937, -69045, -69081, -69021, -68841, -68517, -68025?\n\"Answer: 4*g**3 - 184*g - 68601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30b (base 16) to base 14\nAnswer: 3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 45 = -3*g - 4*x, -27 = -3*g - 2*x. Suppose -4*w - 25 = -g*w. Let t be 1280002 + -4 + w + (-5 - -2). Round t to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v. Suppose v*q = q - 39. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2 + 2*f. Let k be w(1). Let m(j) = -2*j**2 + 6*j - 4. Let i(a) = a**2 - a + 1. Calculate k*i(g) - m(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 9*x**2 - 14*x + 2. Let v be f(7). Solve 3*g - 8*g + u = -29, -v*u + 7 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*k - 546*k + 259*k + 499 + 2221 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 28 = 2*d. Let a = -35 + 35. Suppose -4*f + d - 8 = a. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b84 + -27a?\nAnswer: -8242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6532*f*k**3*o - 2*f*k**3 - 2*f*k**2 + 2*f*k*o + 907*k**3 wrt o.\nAnswer: -6532*f*k**3 + 2*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/21)\/((-2)\/(-3))*5. Solve -v + 8 = -3*v, -3*p = -o*v - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583\/2664 + -1\/296. What is the nearest to 2\/7 in i, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322487 - -4192347\/13. Solve 2\/13*v**3 - 12\/13 - j*v**2 + 2*v = 0 for v.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -17*h. Let l(o) = -2193*o**2 - 2*o. Give l(f(m)).\nAnswer: -633777*m**2 + 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:51 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 802 and 0.0051933695.\nAnswer: 802.0051933695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951070, -3804273, -8559620, -15217117, -23776770, -34238585, -46602568, -60868725?\nAnswer: -77037062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (2 - 5) + 2. Let n be (15\/z)\/(12\/(-16)). Suppose 2*p + 8 = -4*g, 4*g + 14 + n = 2*p. Solve p*r = 4*d - d + 23, 0 = -5*d - 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 2824*d**3 + 84 - 19571*d**3.\nAnswer: -16747*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -440770*s. Let t(b) = -16*b**2. Give t(o(d)).\nAnswer: -3108451086400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(1 + sqrt(80))*-6)**2 + (-4 + 4 + sqrt(20)\/sqrt(4) - ((sqrt(400) + sqrt(25))*4 + sqrt(25))\/sqrt(5)).\nAnswer: 2716*sqrt(5) + 26281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {h: 1, v: 1, y: 2, i: 2, n: 8, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 0) + 2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 less than or equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2769318 = 5*q - 3327157, 0 = 4*q + 5*s - 4877167. Suppose -q + 380093 = -5*m. Let h = m - -250159. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5601351646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*k - 3, -3*k = -5*j - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10175121 and 792?\nAnswer: 81400968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393586?\nAnswer: 2, 83, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 15494115\nAnswer: 15494099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + f - 5*f - 24 = 0, 3*k = 2*f + 7. Let w be 1 - (-2 - -3)\/k. Suppose -z + 241 = z + 5*b, z + w*b - 121 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 64327*j**2 - 69749*j**2 + 134076*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 <= 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 29 (c) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - d - 126 + 30 = 0, -3*j = -3*d - 63. Let t = j + -1. What is the remainder when (1 - 2)\/(2\/(-142)) is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100100 - -1011111011111110?\nAnswer: 1100001001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -227*j - 70. Let l(d) = 76*d + 23. Suppose -20*g - 25 - 15 = 0. Let f(o) = g*h(o) - 7*l(o). Is 46 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/5, -101, 5, 0.5, -0.4, 97\/3?\nAnswer: 97\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 - (-64 - (-1 + -24))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 129 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6816233898 to the nearest integer?\nAnswer: 82560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4802, 4916, 5106, 5372, 5714?\nAnswer: 6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 3*t + 3*t)*(-11 - 107 - 45)*(12*t**2 + 16*t**2 - 10*t**2) to the form o*t + z*t**2 + i*t**3 + v and give i.\nAnswer: -5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 730*z**2 - 109452*z - 1799280.\nAnswer: 2*(z - 126)*(z + 15)*(z + 476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*b + 67, 2*u + 40 = 4*b - 10. Suppose 3*z + 608 = 3563. Calculate the remainder when z\/25 + (-4)\/10 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2 + -4 + 7. Suppose 18 = 2*l + l + 3*t, q = -5*l - 3*t + 32. Let a be (4 - l)*(-1)\/7. What is the closest to -0.1 in -0.2, 5, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10928325, 43713304, 98354935, 174853218, 273208153, 393419740, 535487979?\nAnswer: 699412870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose 5*q + 9 = 2*q, -1 = -y - o*q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1859 and 1001.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 5. Let r be i(3). Let t(g) = 15 + 5*g + g - 3*g + g**3 - r*g. Let x be t(0). Calculate the greatest common factor of x and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 588285151 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -122\/7, -4\/9, -0.2, -0.1 in descending order.\nAnswer: 0.5, -0.1, -0.2, -4\/9, -122\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543189, 2172652, 4888421, 8690496, 13578877, 19553564, 26614557?\nAnswer: 34761856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - 4*sqrt(468)*-1)**2*-5.\nAnswer: -58500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224599 is divided by 854?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.4 (b) -497 (c) -2\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*7)\/((4389\/110)\/57).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 350*f**2 - 1 - 4.\nAnswer: -350*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-38)\/(-95)*-5. Solve -a = 25*i - 27*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**7\/840 + i**6\/180 + i**5\/60 - i**4\/24 + i**3\/3 + 2*i**2. Let w(m) be the first derivative of h(m). Is 3 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 8091*d = -8086*d, 0*q + 0*q + 6 = 3*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126811.\nAnswer: 211, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/(-35)*14\/6)\/(324\/(-9048834)).\nAnswer: 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24582936.\nAnswer: 2, 3, 7, 131, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.499 times -0.142?\nAnswer: 8.022858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*-5*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (4 - 1) - (111 - 117)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -22, -48, -84, -130?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*-2*1\/20. Suppose 2*h - 6 = -0*h. Suppose 4*o - h*j - 14 = 2, -2*o - 2*j = 6. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a + 1. Let h be c(1). Find the first derivative of -7 + 0 + 8*u**h + 0 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29220 and 360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17679 divided by -6070\nAnswer: -17679\/6070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n - 8*n - 9*n - 2*n - 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4)*i*i)\/i)\/(i\/(i\/i**11*i))*(i*i**1)\/i*i*i\/(i*i**(-12)) assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1732, -1739, -1750, -1765?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-8)*12\/27*(-38)\/(18772\/171).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 40*n - 361. Let u be q(9). Let y = 15\/613 - -2703\/39845. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -102002201?\nAnswer: -102002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 114 - 50)*(-o - o - 2*o) + 3*o + 0 - o - 2.\nAnswer: -258*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(28\/5)))\/(q*q**(-1\/40)))**(-30))**33 assuming q is positive.\nAnswer: q**(-18315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 311712 and 768.\nAnswer: 2493696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/20423 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*g - d, g - 3*d + 3 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -73. Solve -4*b - b = r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 2*x - 3)*(-2 + 0 - 2).\nAnswer: 12*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 4, 0.035, 0.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 - 29*x**2 - 1. Let v be 22\/6*32\/((-384)\/36). Let a(z) = z**3 + 6*z**2. Calculate v*a(g) - 2*j(g).\nAnswer: -g**3 - 8*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 17. Let b(y) = -y**2 - 4*y + 2. Let c be b(-5). Let s(t) = -t**3 - 13*t**2 + 4. Let n be s(-13). Put u, c, n in increasing order.\nAnswer: c, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.36 + -29.16. Which is the second smallest value? (a) -0.02 (b) -1\/769 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 4 + s + 6*s**2 - 3. Let c(j) = -5*j**2 - 2*j - 1. Let l(z) = 5*c(z) + 4*n(z). Factor l(f).\nAnswer: -(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 4975*z**2\/3.\nAnswer: z**2*(z + 4975)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1066, -83, -8, -1, 7 in ascending order.\nAnswer: -1066, -83, -8, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -70 - (38 - (-29 + 28))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Suppose a = r - 3*r. Solve -4*o - 3 = -3*k, 5*k + r = 2*o + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9862)\/(-912) + (-4 - 0). Let h = o - 82\/57. Let d = -2059\/16 + 131. What is the common denominator of h and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(432)*-2 + sqrt(432) + -3.\nAnswer: -3 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -35*p**3 - 841*p**2 - 16*p + 15. What is f(-24)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -58 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401458 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.915847ml in litres?\nAnswer: 0.000915847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -4*i + 15*i. Let b be (12\/(-10))\/2 + 63\/i. Factor -3\/2*d + 1\/2 + b*d**2 - 1\/2*d**3.\nAnswer: -(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7227 - -3080. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81.171 - -81. Let y = r - 0.029. Let m = -3 + 2. Which is the closest to y? (a) -2\/11 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -179?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 (base 6) in base 12?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -50*s + 168. Let v = s + 77. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 54 = 163472*f - 163469*f, -100 = -8*f + 4*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/(n*n*n**(2\/11))*n*n\/n**(-13) assuming n is positive.\nAnswer: n**(174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttrtptrptrr. What is prob of sequence prtt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 74963.\nAnswer: 10\/74963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/2 + -4. Let f = 4.8 - 3.5. Let z = 1.1 - f. Which is the closest to z? (a) -0.1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 185.25, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17eb2 (base 15) to base 10\nAnswer: -77567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -80\/111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.97 + -0.03. Let q = o - -12. Let g = -270.836 + 271.336. Sort g, 0.3, q.\nAnswer: 0.3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -139 (b) 404 (c) 2\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324 + -332 - (2 - 2)) + -7 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2440 - 2447 + 4887 - 18*m. Let c(w) = 43*w**2. Give c(j(q)).\nAnswer: 13932*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23133233 - 2333?\nAnswer: -23202232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*p - 49, -3*p + 41 = n + n. Let r(q) = -24*q - 39. Let v be r(p). Let h = -92 - v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.32 - -9.16. Let p = 9 - k. Let u = 0.04 + p. Is u smaller than -1\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**3 - 6*j**2 - 3*j. Let k(t) = 19*t**3 - 11*t**2 - 6*t. Give -11*g(f) + 6*k(f).\nAnswer: 4*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -264\/5 at least as big as -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*((m\/(m**6\/m))\/m)\/m*m**(2\/15)*m**(-13)\/((m\/m**(-3\/4))\/m) assuming m is positive.\nAnswer: m**(-1117\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4365 + 30230 = g, 3*f - 15582 = 12*g. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 16*l**2 + 2*l - 30. Let w be g(16). Solve 0*j = w*y - 4*j, -3*y - 4*j = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (sqrt(539) + 3 + sqrt(539) + 0).\nAnswer: -7*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 26 = -4*s - 0, 2*s = -o + 12. What is the remainder when 37 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let y = -916 + 919. Suppose -5*x + 187 = -2*l, -q*x - y*l = -2*l - 110. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2248 (c) -1.04 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.023*-25\nAnswer: 0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/4)\/k))\/k**(1\/14)*(k**1)**(-32))\/((k**(-2\/7)\/k)**(-48))**(-50) assuming k is positive.\nAnswer: k**(85565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199870*g**3 - 199864*g**3 - 2 + 2 + 399735*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jllj. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 4*c**3 - c**2)*(-1 + 7 - 9).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/(-4))\/(2\/88). Let n = -127 - h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67 - -75) + (-64)\/(-7))\/(8 + 872\/(-112)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 8.9. Let y = -8.7 + k. Let w = 3 - 2. What is the second smallest value in 2\/17, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (20 - 12408\/648) - -27\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 494*t**5 + 298*t**2 wrt t?\nAnswer: 29640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*l - 12 = 0, -2*s - 5*l + 21 = -2*l. List the prime factors of 6\/1 + (s - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19542.875 to the nearest integer.\nAnswer: -19543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 116*u**3 - 2089*u**2 - 87*u + 1894. Give c(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/35, 31144, -1\/6?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -0.1 (c) -5 (d) -4 (e) -20 (f) 1\/10 (g) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*i + 374 - 390 = 0, 4*i - 4 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1596870861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.103681 and 411.\nAnswer: 410.896319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2912 + -4102. Let m be (k\/9)\/((-4)\/6). Suppose -2*g + 3929 = m. What is g rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:44 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 92.9. Let i = p - -0.4. Sort i, 2, -0.4, 0.3 in increasing order.\nAnswer: -0.4, 0.3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465.705km in meters?\nAnswer: 1465705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -209. What is the least common multiple of m and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + 1 + 8 + (2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 78001*o - 10. Let v be x(10). What is v rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*x - 30, -4*g + 14 + 9 = 3*x. Let h(n) = -2*n - 5 + g. Let m(j) = -j. Let o(b) = 24*b. Let u(q) = -20*m(q) - o(q). Determine h(u(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-2\/13)*(h*h\/(h**(-13)\/h)*h*h)\/h*h**(1\/3)\/(h*h\/((h**(-1\/26)\/h)\/h*h)*h) assuming h is positive.\nAnswer: h**(1127\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 48. Let l be (-5)\/2 + (-12)\/q. Let v = l + 20. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 9 + 7*s - 6)*(-s**3 + 2*s**3 - 2*s**3) in the form t + w*s + y*s**4 + i*s**3 + f*s**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*-1*sqrt(50))**2 - (0 + sqrt(2) + 1 + -3)).\nAnswer: -3604 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 64\/12*(-9)\/(-4)*((-128625)\/98)\/(-105)\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826426 is divided by 63561.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/(((-7)\/(-7))\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 10*m**2. Let n be h(-10). Solve n = 4*f + j - 4*j + 17, f - 4 = -2*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 12*k**2. Let q be s(6). Solve 0*a + 10 = -2*t + 2*a, q = -t + 3*a - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106932360.2 rounded to the nearest one million?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 - 2*z - 4. Determine o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 24*w - 6. Let r be i(-10). Suppose 2*a = -m + r, 15*a = 20*a + 2*m - 833. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {d: 1, n: 2, c: 1, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3557*s**2. Let y(x) = 959*x**2. Determine y(o(i)).\nAnswer: 12133506791*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s + 154. Let x = 78 + s. List the prime factors of 5*x - (-164 + -21).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7076 and 817278?\nAnswer: 1634556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/5*d**4 + 0 + 0*d - 12\/5*d**2 + 2*d**5 - 38\/5*d**3 = 0. What is d?\nAnswer: -1, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, g: 2}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 28*b**2 + 17*b**2 - b**4)*(-2*b - 1 + 1).\nAnswer: -2*b**5 + 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1642 + 300?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128894?\nAnswer: 2, 3, 13, 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 52.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 122. Let l = u - 57. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81134744 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(21) - sqrt(336) - sqrt(21))*-1)\/((sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431042910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8670982 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*g = -138*g + 471*g + 15575 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75335 divided by -3609?\nAnswer: -75335\/3609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {n: 1, e: 1, d: 1, k: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.32006354 + -14.32. Round l to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:33 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 2*z**3 + 21*z**2 + 18*z.\nAnswer: -z*(z - 6)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441e53 (base 15) to base 7.\nAnswer: 36411213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -0.3, 3\/46, -2\/5, 3.74, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*h - 100*h = l - 12, 3*h = -2*l + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 26*r**3 - 8*r**2 - 8*r - 12. Let c(h) = 17*h**3 - 5*h**2 - 5*h - 8. Give 8*c(k) - 5*z(k).\nAnswer: 6*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 72. Let s be -34*4*3\/b. Solve 0 = u - 5*d + 24, -7 = 3*u - 3*d + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 57. Determine k(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*r + 4*u, 582*r - 14 = 578*r - 2*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0061 and 154.\nAnswer: 0.9394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.149647873 rounded to 3 decimal places?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (3 + 1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.9 - -14. Let x = u - -0.9. Let s = -22 - -17. Sort x, 0.2, s.\nAnswer: s, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 16526828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*o = 12, 4*u - 22 = 3*o - 2. Let y be (-76)\/(-40) - (4 - u). Sort 1\/5, 0.1, y.\nAnswer: y, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683017653 is divided by 2990?\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295249 is divided by 2363.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 8, 9*c + 2 = -j + 6*c. Let f(k) = -7*k - 3. What is the lowest common multiple of f(-3) and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 29.8. Sort -0.11, 0.5, h.\nAnswer: -0.11, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 50 = 10*g. Solve 4 - g = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*i - 532 = -154, 4*w + 4*i - 312 = 0. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 189\/(-36)*104\/(-6). What is the first derivative of -10*f - 25*f + 109 + 23*f - t*f wrt f?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13)\/(-2))\/(3\/((-18)\/(-3))).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001101011110 (base 2) to base 16\nAnswer: 235e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 83 = -2*v + 2*d, -5*v + 225 = 5*d. Suppose -3*n + 4 = -59. Suppose 6*j - 45 - n = 0. Calculate the remainder when v is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 6 in ascending order.\nAnswer: -3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-392)\/5 + (-16)\/(-40). Let z = -53 - q. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 836?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9963 less than -21120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 640476*j. Let c(g) = -3*g. Determine i(c(f)).\nAnswer: -1921428*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + -3 + -1 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002265 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1079*u**3 - 15945 + 15945 + (2*u**3 + u**3 - u**2 + 4*u**3)*(0 + 2 - 1) to b*u**3 + g + k*u + x*u**2 and give b.\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -8)*3\/15. Let d be 1 - (12\/(-9))\/(-4). Which is the nearest to d? (a) r (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1514 + 3045. Factor -6*d**2 + d**2 + m*d - 1526*d.\nAnswer: -5*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 1, y: 5, h: 3}. Give prob of sequence pkp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*r + 3. What is the derivative of -4*t**r - 34*t + 34*t + 2 wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 11*k - 12. Let v = -2 + 2. Suppose 3*t + v*t = 27. What is the units digit of b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 equal to -1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 15. Let t(m) = 11*m**2 + 9*m**d - 13 + 8*m - 17*m**2. List the prime factors of t(-7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22776 and 972725?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:27 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 1. Let f(r) = 85*r**2 - 102*r - 102. Let g(q) = -f(q) - 102*z(q). Let k(u) = u. Determine k(g(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddudddudduddddddd. What is prob of sequence uudu?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*j + 26, -x - 6*j + 4*j + 17 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 5*t**4\/12 - 11*t**2\/2 + 36*t. Let n(q) = 2*q**2 - 4. Give 4*c(x) - 11*n(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1 - ((-31 - 87) + 73)) + -5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/120 + 3*t**5\/20 + 3*t**4\/8 + 7*t**3\/6 + t**2. Suppose 12018*a = 11993*a - 200. Calculate z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*z = -306*z - 2*t - 6, -2*t = 2*z - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -38, -28, -14, 4, 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)*1\/((-2)\/(-68)). Let q = -32 + i. Suppose -4*j = -q*j - 1742. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let z = 18 + s. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2842 + -1313. Let i = a + -462. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d - 5. Let g be k(5). Let q = 18 + g. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 37*w - 31*w = 48, 4 = -4*l - 2*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1534978 by 2.\nAnswer: 767489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 384445 and -2.887?\nAnswer: -1109892.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 3\/5, -2970\/37, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160840 - 36?\nAnswer: -160876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:32 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, k: 1, g: 4, a: 5, u: 7}. Give prob of picking 1 o and 2 g.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 3*k = -66. Let o be (-1)\/6*-3*4. Suppose -o*g + 14 = 4*j, -j - 4*g + k = -8. Solve j = -3*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + y + y + 2 = 0, f = 2*y - 6. Suppose d = f + 1. Solve d*c = 18 - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 54 - 114. Let r = k - -3. Suppose 8*m + r = 14*m. Put -3, 5, m, -2 in ascending order.\nAnswer: -3, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38408, -153318, -344844, -612992, -957768?\nAnswer: -1379178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g**5 - 432*g**4 + 1032*g**3 + 4768*g**2 + 4572*g + 1296 = 0. What is g?\nAnswer: -1, -4\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**3 + 5*z**3 - 9 + 1 - 6*z - 6*z**2. Let f(n) = 6*n**3 + 5*n**2 + 7*n + 7. Let i(t) = -5*a(t) - 4*f(t). What are the prime factors of i(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54*7\/(-1 + 0) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 3 - 3)*(-2*v**2 + 2*v**2 - 2*v**2) + (8*v + 3*v**2 - 8*v)*(34*v**3 - 217*v**3 - 37*v**3) - 27*v**5 - 21*v**5 - 2*v + 36*v**5.\nAnswer: -674*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 308 = r - 338, 0 = -u + r + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3162, 6274, 9386, 12498, 15610, 18722?\nAnswer: 21834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*u = 12, 4*d - 39 = u - 0*u. Let g be (21\/9)\/(-7) + 30\/d. Let i(o) = -o. Determine i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 6*j + 6. Let h be b(-1). Solve g = -5*l - 2 - 14, 4 = -h*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 13172\nAnswer: 3\/6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*r - 12, 4*r - 5*r = -3*v - 8. Let t = 1 - v. Suppose -q = t*q - 40. Find the common denominator of -29 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose -5*d + i = -3*d - 305, w*d - 310 = -4*i. What is the highest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10988, -10993, -11010, -11045, -11104, -11193, -11318, -11485?\n\"Answer: -a**3 + 2*a - 10989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 + -1 + 8 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 498007045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/5 - 19*d\/5 + 84\/5 = 0 for d.\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/22360 and -101\/1768?\nAnswer: 380120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6343 - 0.0239.\nAnswer: 0.6104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -6\/353, -1, 0.1, 2\/25, 0.2, -0.2?\nAnswer: -6\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = 5*s - 0*s, -q + 5*s = 0. Let t be (q\/(-10))\/(2\/(-20)). Is t equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2\/2 + 285*z\/2 - 12069 = 0. What is z?\nAnswer: -149, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -531372, -1062583, -1593794, -2125005, -2656216?\n\"Answer: -531211*i - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(108) + 3)**2 + ((0 + sqrt(108))**2 - sqrt(108) - sqrt(108))*-1 + 1*(3*sqrt(300) + -3) + 5.\nAnswer: 10 + 78*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d - 4038. Let m(q) = -4*q + 1011. Determine -15*m(l) - 4*r(l).\nAnswer: -4*l + 987","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) - ((-272)\/(-32) + 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818908648 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3426 divided by -571\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 906213989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wwvwwswwwjwwwww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 1.324. Let p = d - 33.924. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2758 - 2726. Solve 0 = 12*b + 40 + u for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from ufffzltutbtzfft?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -47*q + 1037. Let n be m(22). Put 4, n, 1, 1.1 in decreasing order.\nAnswer: 4, n, 1.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:47 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -691 + 1021. What are the prime factors of c?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5465\/3*x + 7835\/6*x**2 - 25\/6*x**3 + 520 = 0. What is x?\nAnswer: 2\/5, 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-5 + 3*t + 5) + (-3 + 3 - t)*(-1 - 1 + 3).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 2, -5, 4, 1 in decreasing order.\nAnswer: 105, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175753239.271 + -5.5?\nAnswer: 175753233.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = 4*s. Let y be 2 + 1 - (-2 + s). Let i(a) = a**2 - 9*a + 11. Let j be i(y). Solve 4*v - 8 = -0*v - j*k, 4*v - 4*k = 36 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 17011 + 49174. Suppose 8*c = -3767 + n. What are the prime factors of c?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/(6*(-6)\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24995355 and 1275?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -2*q + 37, 0 = -g + 2*q + 1020. Is 1014 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 369*i**3 - 730*i**3 - 3 + 2*i + 363*i**3 in the form a*i**2 + t*i**3 + p*i + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfns when four letters picked without replacement from nnfnnnnnsfssnnnnsnns.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 6:30 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2561834 seconds in nanoseconds?\nAnswer: 256183400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.51183ml to litres.\nAnswer: 0.00651183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let n(t) = 33*t - 6. Let l(p) = -2167*p + 4079*p - 131*p - 429 - 570 + 3695*p. Let d(h) = 4*l(h) - 666*n(h). What is b(d(z))?\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x + 31. Let j be i(9). Let r = 10 - 7. Sort r, j, 5 in decreasing order.\nAnswer: 5, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 + 44*t**2 + 20*t**3 - 22*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*11*((-6200)\/220)\/(-31)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25345?\nAnswer: 5, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181756 - -295171843\/1624. Calculate the common denominator of -21\/232 and b.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7830 and 189?\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 10. Let k = m + 3.1. Let n = -7 - -12. What is the nearest to 1 in n, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(66\/9 + -3 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-490)\/(-147))\/((-1)\/(5\/((-175)\/12))))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 + (3 - 1)). Let t be 4\/(-10) - (-72)\/30. Solve -4*y = x, -t = -p - p + 5*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 538*h**3 - 2*h*k**2*q**3 + h*q**3 + k**2*q + k*q + 415*q**3 + 2*q**2 with respect to h.\nAnswer: 1614*h**2 - 2*k**2*q**3 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353430 = 136*y - 85*y. List the prime factors of y.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56835 (base 13) in base 10?\nAnswer: 157383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*v + 2 = -5*b + 125*v, -16 = 4*b - 2*v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*v + 2900 = -199*v + 65 for v.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-seven fifths of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t - 5*w - 15 = 0, 5*w + 30 = 5*t. Let m = 8 - 6. Calculate the remainder when t is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 104866.\nAnswer: -3\/104866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*a**3 - 86182*a**2 - 454720*a = 0. What is a?\nAnswer: -58\/11, 0, 7840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*f*l + 424*b**2*l**2 - 9*b*f - 3*b*l**2 + 2*f*l**2 wrt f.\nAnswer: -3*b**2*l - 9*b + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 16 - -7 - (33 + 2) - -7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q - 15 = -5*g, -2*q = 0. Solve -4*l + 3*v - 23 = 0, l - 2*v + 27 = g*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3803*d + 3753*d - 1050 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/3 + 7*f**2\/2 + 6*f + 4. Let r be z(7). Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**4\/4 - 61*v**3 + 216. What is p in i(p) = 0?\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let r = -5.9 + -0.1. Let q = r - -6. What is the nearest to q in z, -1, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305211306 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -6*n - 14, -5*x + 17038*n - 17032*n = 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1, l: 2, u: 2, b: 1, w: 1}. Give prob of sequence wu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -67. Suppose z + 5*u = -w, -14 = 3*u + 1. Let x(g) = -2*g**3 + g**2 - g - 4. Let i be x(z). What is the highest common divisor of 126 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 + 608. Let u = n + -220.8. Let t = 40 - u. Round t to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2566 + 0.25058. What is y rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 20 = 0. Let z be 858\/65 + (-2)\/10. Solve n = m - d - 3, -n = -2*m + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -5) + (-26 + -2 - -2 - (-2464 - -2467)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 14*p**2 + 13*p + 5. Let l be n(13). Find the third derivative of 69*c**2 + 2*c**5 - 68*c**2 + 5*c**6 - 2*c**l wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2, -3, 6 in decreasing order.\nAnswer: 6, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-92)\/(-12))*54\/(-30). Suppose -10*p = -228 - o. Which is greater: p or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 117 + 256*v**2 + 236.\nAnswer: 256*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = 6945*h - 6974*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 2*t**3 + 13*t**3 - t - 1 wrt t.\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.46 + -158.66. Let c(r) = r**2 - 4*r + 2. Let b be c(3). What is the nearest to b in -0.4, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -48*-58.193\nAnswer: 2793.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*g. Suppose 6*z = g*z + 32. What is the lowest common multiple of z and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 - 3. Let g be t(-4). Let k = -8119\/4 + 2049. Find the common denominator of (58\/g)\/(4\/(-20)) and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 46*o - 145. What is n(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.11, 2448, -5, -0.1.\nAnswer: -20, -5, -0.11, -0.1, 2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 193094003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 283*o - 38239. Calculate k(99).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*5*48\/(-840)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -589*m - 21. What are the prime factors of t(-2)?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180180660 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -44.64 and -40886585940.\nAnswer: -40886585984.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6581, 7338, 8095?\n\"Answer: 757*u + 5824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*l - 5, -14*l + 17*l + p - 1 = 0. Let 0 + 0*h + h**5 + 1\/2*h**2 + l*h**3 - 3\/2*h**4 = 0. Calculate h.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1820453 - 1820453 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 114?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1619 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**3 - 3*p**2 - 2*p. Determine a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 2. Let z = r - 8.8. Let x = z + 12. Which is the closest to 1\/2? (a) x (b) 2\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/112374 and 89\/4362.\nAnswer: 81695898","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 18, 11, -4, -27, -58, -97?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 211.3301 hours?\nAnswer: 760788360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 4 - 30632*q**2 - 64457*q**2 + 8.\nAnswer: -95089*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -21.8 (c) 21 (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 + 1. Let f be r(-4). Let m be (-46)\/(-8) + f\/4. Suppose 0 = 5*s - 2*s + 2*v - 2, s - m = 2*v. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Find the third derivative of 0*z**6 - z**2 + 2*z**2 + c*z**6 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2841303\/91 + -31222. Let v = 7\/13 - n. Let r = 5\/14 - 1\/42. What is the smallest value in v, r, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -i - i, -280 = -5*d + 4*i. Suppose -4 + d = 3*z. Calculate the least common multiple of z and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9776*r - 446310 - 91370 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*x - 512*x - 100384 = 213*x - 18823 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**6\/15 + r**5\/20 - 25*r**4\/12 + 5*r**3\/2 - 31*r**2 + 151*r. What is the second derivative of a(i) wrt i?\nAnswer: 24*i**2 + 6*i - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12 + 3 - 2*x**2 - 15. Suppose -2*i - 5*j + 7 = 0, 0 = 4*i + i + 2*j - 7. Let o(q) = -1 + i - q. Give o(n(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, o: 1, a: 2, z: 5, k: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1556a (base 12) to base 11.\nAnswer: -20745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 - (1 - -9 - (2 + 47 + -68))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h - 7. Let z be a(3). Suppose 2*m + 5*j = 362, -768 = -4*m - z*j - 54. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h + 3*h - 5*d, -5 = 3*h + 2*d. Let q(r) be the first derivative of -2*r**3\/3 + r + 36. Determine q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-190)\/760 + (-23)\/4 + -5. Let n(v) = -14*v**2 + 12*v - 17. Let f(t) = 5*t**2 - 4*t + 6. What is g*f(a) - 4*n(a)?\nAnswer: a**2 - 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -714, 3 in descending order.\nAnswer: 3, -220, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h**2 - 18. Let n(z) = -6*z**2 - 5. Let a(l) = 18*n(l) - 5*q(l). Let f(r) be the first derivative of -7*r**2 - 1. Give f(a(k)).\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*f + 5*a - 2263, -504 = -f + 7*a. What is the greatest common factor of 240 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 52*i**2 + 454*i + 38. Calculate j(-41).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140732883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6*6)\/(9\/(-102)). Suppose -7*f + x = -4*f. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:06 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -135, -188, -241, -294?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 14500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*u**3 + 1 - 105097*u**2 + 105097*u**2.\nAnswer: 123*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 12. Suppose -3*r + 20 = -4. Let l be n(r). Suppose 0 = 7*o - 5 - 30. Is l greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -3, -2 in increasing order.\nAnswer: -3, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*g)*(-150 + 77 - 363*g + 73).\nAnswer: -726*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 482\/53 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -417.55 + 417.43. Let z = 0.04 + 0.06. Suppose -1 = 5*d - 2*u + 3, 0 = 2*d - 3*u - 5. Sort z, -2\/7, m, d in decreasing order.\nAnswer: z, m, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:50 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -2\/9 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.784081 rounded to two dps?\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 divided by -5?\nAnswer: -267\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232206 (base 7) in base 14?\nAnswer: -42076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 19. Solve 5 = 5*f + g + h, 26 = -2*f + 4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 15226530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/((-4)\/2) + 6 + -4. Let n be m\/(-11) + (-6)\/(-33). Solve 0*i**n + 0*i + 6\/7*i**5 + 8\/7*i**4 + 0 + 2\/7*i**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 73*y**3 + y**2 + 4*y - 12. Let g be z(2). Let u = g - 584. Solve u = 4*f - k + 17, 3*f + 4*k - 11 = -0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3152 is divided by 243?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g + 2. Let l be q(-3). Suppose 0 = 5*o + 5*a - a + 19, 10 = -l*o - 4*a. Let w be (3 - (o + 6))\/(-1). Is w greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28905)\/(-6) - 0 - (155 + -146). Is 4810 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(2\/13))**9)**(-22))**(-31))**(-45) assuming o is positive.\nAnswer: o**(-552420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -49.30548 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -60 - ((-62 - -151) + -104).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 9*s + 20 = 0. Let o be (-48)\/s - (-4)\/10. Which is the closest to 0.1? (a) 5 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3)*b*b*b)**10)**(5\/9))**(-29\/3) assuming b is positive.\nAnswer: b**(-1450\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 + 4. Let d be x(4). Suppose d = h + 2. Suppose 2*a - h = 0, 0*a + 2 = 5*o - 3*a. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 1388*j**2\/3 + 223298*j\/3 - 2062096.\nAnswer: 2*(j - 24)*(j + 359)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - 3*n**2 + 6*n + 3. What is the units digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40334620 + -4?\nAnswer: 40334613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35292770*g**2 + 29431270*g wrt g?\nAnswer: 70585540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 6}. What is prob of sequence cci?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9853, 9734, 9535, 9256, 8897?\nAnswer: 8458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/sqrt(32) + sqrt(13))*3 - sqrt(1573)*-1*-3)**2.\nAnswer: 177957\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-m**4 + 3*m**4 - 4*m**4).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 12, l: 1, h: 4}. What is prob of picking 2 h and 1 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + 8*l**2 + l - 3. Let i = 35 - 41. Let t(f) = 5*f**3 - 9*f**2 - f + 3. Let c(r) = i*h(r) - 5*t(r). Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 49640*w**3 + 1139385*w**2 - 3067150*w - 33677000 = 0?\nAnswer: -4, 10, 17, 9905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n**2 - n - 1. Let h be j(-1). Is 2389\/6 - (-2)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 93.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4838*y + 6295*y - 947175 = -11518*y for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:49 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15804*q + 31608. Let a be d(-2). Let w = 9 - 5. Let p be (10\/w)\/((-2)\/(-4)). Solve a*j = p*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -14)\/(2\/(-2)). List the prime factors of ((-6)\/8)\/(1\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -386, -599, -834, -1097, -1394, -1731, -2114?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*(h*h**(-4)*h)\/h)))\/h)**(-4) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -104. Let h(d) = d - 6. Give h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11943491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 2*i - 7. Let v be r(-9). Solve 5*f - 9 = v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 times 0.0394?\nAnswer: 17.4936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 174929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {e: 1, s: 7, m: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 98 = -4*l. Let n be 2\/5 + 152\/l. Differentiate 6 + 3*v - n - 3*v + v**2 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*l + 164. Suppose -l = -t + 48. Suppose 12*d - 8*d = t. Calculate the least common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:51 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2412, 2413, 2416, 2421, 2428, 2437, 2448?\n\"Answer: z**2 - 2*z + 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 0.268994?\nAnswer: -0.031006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11565 and 120.\nAnswer: 92520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, 47, 0.2, -74, 0.1, 2\/3, -9\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024655.06 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + z = 17*a - 21*a - 244, 2*z = 2*a - 40 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1406*u + 1528*u - 2533*u + (u + u - 3*u)*(0 - 2 - 1).\nAnswer: 404*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7163474*j**5 + 3*j**3 + 23948*j**2 - 341.\nAnswer: 429808440*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/6 + 2*n**3\/3 - 2*n**2. What is the first derivative of d(a) wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 11*m - 7*m. Solve -p - 2 = 5*f + 8, -5*f + 2*p + 5 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -778108000 rounded to the nearest 1000000?\nAnswer: -778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182027.\nAnswer: 182027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 118518*b + 5208984.\nAnswer: 3*(b + 44)*(b + 39462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, -1\/2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (46\/(-3))\/((-2)\/(-6)). Let t = 80 + l. Suppose 0 = t*a - 29*a - 45000. Round a to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2538, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2433210 divided by 5\nAnswer: 486642","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*g*o**5 + 5*g*o + 1019690*g - 1012287*o**3 + 59*o wrt o.\nAnswer: 1580*g*o**3 - 6073722*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.477 + 12.523. Is 0.06 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {l: 2, j: 1, h: 1, q: 1, m: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/(-28)*42\/27. Let g be 41 + 8 + (j - 8). What is the greatest common divisor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27282051 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 53, -0.4, 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3539 + -5.3059. What is t rounded to 1 dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**28*f**(-3\/4))\/(f*f**(2\/33)*f**(-1\/47)) assuming f is positive.\nAnswer: f**(162611\/6204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-327)\/(-4)*6\/36)\/(14*58\/6496).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 47*n**6\/3 - 73*n**3\/3 + n**2\/2 - 72. Find the third derivative of u(r) wrt r.\nAnswer: 5640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 37*o + 69. Let r(h) = 3*h - 4*h - 4 + 2*h. What is r(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(40) + sqrt(120)\/sqrt(3) + sqrt(40))\/sqrt(4))\/(sqrt(128)*-1 - sqrt(2)).\nAnswer: -2 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose 0 = t*v + q - 7, -4*v + 5*q - 9 + 2 = 0. Which is the nearest to 0.2? (a) -0.1 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 4. Let w(a) = -3*a + 7. Let k(v) = 5*l(v) - 3*w(v). Let m be k(-3). Solve 0 = -m*g + 3*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*b**4 - 131*a*b**3 - 4*a*b**2 + 15*a*b wrt b?\nAnswer: 24*a*b - 786*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.8 (c) -5\/4 (d) -4\/3 (e) -1 (f) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 - -238.7. Let l = w + 20. Which is the fourth smallest value? (a) -4 (b) -1\/4 (c) 5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 9*k + (5 - 4 + 2)*(22*k + k - 2*k) to r + h*k and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269\/8 + 2879\/88. Find the common denominator of x and 3\/(-2) - (-97)\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11491 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 + 7*p**3 - 10*p**2 - 16. Let l be n(20). Suppose 0 = -3*i - k + 16, 3*k = -i - l*k. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -16 + (6 - 7 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -17, -10 in decreasing order.\nAnswer: 5, 0, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-10)\/w)*w)\/w**(2\/7))\/((w\/w**(-7\/3))\/(w*w\/w**(6\/13)*w*w)) assuming w is positive.\nAnswer: w**(3527\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1114 and 6.\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 7 - 4 = -2*d - 4, 0 = -4*h + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + 43*j + 730. Determine i(0).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*q - 8110, 9*q - 7*q + 2*k - 8094 = 0. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4390.51 - -4515. Round x to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 2*h + 3*h)*(2 + 2 - 3)*(-4 + 5 - 3)*(9*h - 6*h + 11*h).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.001 + -0.03. What is c rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/76 + 22\/19. Suppose 11*r - 8*r + 14 = 5*q, 3*r + 4*q + 5 = 0. Sort r, l, 4 in descending order.\nAnswer: 4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 r, and 1 u when four letters picked without replacement from {u: 4, r: 2, t: 1, q: 2, d: 1, j: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(243))*-3 + (sqrt(243) - (sqrt(243)*2 + sqrt(243) + 3) - sqrt(243)) + 4)**2 + 0 + 3.\nAnswer: -52635 - 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -27. Suppose -r - k = -2*r. Suppose -r = -0*o - 3*o. Solve 3*d - o = -4*v, -2*d + 15 = -0*v + 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1184\/4 + 0 + 4. Suppose -21*i = -27*i + z. What is the highest common divisor of 550 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/384019 and -67\/1264.\nAnswer: 6144304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -50395.59 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -144, -174, -238, -348, -516, -754, -1074?\n\"Answer: -2*w**3 + w**2 + 3*w - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -0.16, -0.2, 9.\nAnswer: -5, -4, -0.2, -0.16, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5037785902 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2565 and 127\/3858?\nAnswer: 3298590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14\/60*(-116)\/(-406)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231358633.\nAnswer: 11, 23, 914461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265450?\nAnswer: 2, 5, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*m + 2, -n + 5*n = -m + 14. Suppose -n*d - 3*p + 6 = -8, 4*p = -d + 10. What is the third derivative of z**3 + 2 - z**d - 2 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -35648*c + 2. Let f(j) = 2*j**2. What is f(b(q))?\nAnswer: 2541559808*q**2 - 285184*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k + 1. Let h(q) = -q**3 + q**2 + 4*q - 2. Calculate h(n) + 2*x(n).\nAnswer: -3*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/21))\/z**(-1\/12))**13 assuming z is positive.\nAnswer: z**(429\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -28155348 greater than or equal to -28155351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 2, d: 1, k: 1}. Give prob of sequence di.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2496179 + 2*l - 2496179.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 224594 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5b98 (base 12) to base 4\nAnswer: 2201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 25 - 1 + 787*u + 1134*u - 78*u in the form o*u + d and give o.\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74907 divided by 10701.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033193232 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11028657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d - 6*d - 2*d**4 + (-d + 2*d - 3*d)*(d**3 - 2*d**3 - 2*d**3).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*k + 1, -k - 28 = -4*v + k. Let j(x) = 40 + 6 - 34 + 5*x. Calculate the remainder when j(v) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577916733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 3625433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5+-180.30275883024\nAnswer: -185.30275883024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/40 - 84\/(-135). Sort -5, 0.4, n, -1\/2 in descending order.\nAnswer: 0.4, n, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:59 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/29 + -78\/145. Which is the smallest value? (a) g (b) 1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (13 + 26) - 16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -31 + 43 + -44\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*f + 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2 + (-4)\/2. Let g be v + -1 + (4 - -2). Suppose 2*r = -m - 3, 2*m + 30 = g*r - 3*m. Solve r + 5 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11)*1)*3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9639999, -9639996, -9639991, -9639984?\n\"Answer: l**2 - 9640000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.8912868 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9440, 37711, 84810, 150737, 235492?\n\"Answer: 9414*b**2 + 29*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 90*g - 83*g. Let n(x) = x**2 - x. Let k(j) be the second derivative of -2*j**4\/3 + 2*j**3 - j. What is g*k(f) - 12*n(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11598034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44 - -48) + 11\/1. Differentiate 30 + 9 + 67 + 0 - w*i with respect to i.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 15, 3, 2\/169, 0, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6746 - 6746. Which is greater: 2\/8765 or j?\nAnswer: 2\/8765","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:21 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*j - 301*j + 34*j - 90 + 90 + 37*j.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 + 2*q - 2. Let x be 7*(3 + -2 + -2). Let r be o(x). Let n = r - -14. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c - c)*(-1 + 0 + 3) + 414*c + 15 - 12 - 3 as q*c + a and give q.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503 = -4*r + 511, 0 = -12*q + r + 82 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56364)\/770 - (-36)\/(-45) - (0 + 5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 82. Let k = 27 - z. Suppose -k*i + 3*i + 9 = 3*d, -12 = -2*i - 2*d. Solve w + i = 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 129*x**4 - 2*x**3\/3 - 2815*x - 2405. Find the first derivative of u(m) wrt m.\nAnswer: 1548*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 + 2 = p, 26 = -5*x - 2*p. Let o(t) = -t**3 - 7*t**2 - 5*t - 2. Calculate o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmttjmjmyjgystt. Give prob of sequence mm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = -1. Let k = 3 + -3. Suppose d - v - 15 = -0*v, -4*d - 2*v + 36 = k. What is the least common multiple of o and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -31012?\nAnswer: -31022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5738 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -4*f - 3*y, -2*f = -0*y - 2*y - 40. Suppose 11*c + f*c - 29002 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 3*y - 2. Let x(t) = t**2 - t - 1. Give l(v) - 2*x(v).\nAnswer: -4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322036.6m in nanometers?\nAnswer: 322036600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960003851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(76)\/(sqrt(96)\/sqrt(3)))\/(-3*sqrt(8)\/(-2*sqrt(4))))**2.\nAnswer: -2*sqrt(19)\/3 + 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -281670*i**3*r**3 - 804*i**3 - 1493809940*r**3 wrt i.\nAnswer: -845010*i**2*r**3 - 2412*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {r: 2, z: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52270354 divided by -58?\nAnswer: 901213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 119*v**2\/4 + 870*v + 900.\nAnswer: (v - 60)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2302, 9207, 20716, 36829, 57546?\n\"Answer: 2302*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + 31*w - 14. Let k(n) = 16*n**2 + 67*n - 29. Let j(h) = 4*k(h) - 9*v(h). Factor j(x).\nAnswer: (x - 10)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/42)\/((-1152)\/(-2592)). Which is the closest to -0.1? (a) -2\/9 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f - 1. Let o be a(6). Suppose o*k = 2*z - 5, 0*k - 3*k = -2*z + 15. Solve 2*b + b - z = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43204.844 to the nearest one hundred.\nAnswer: -43200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.5632 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.17 (c) -28 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2044575*h - 4. Let u(v) = -3*v. Calculate a(u(d)).\nAnswer: 6133725*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/200*-4 - 15\/50) + (-167)\/(-270)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -39*f + 248. Let b(j) = 19*j - 125. Let x(g) = 7*b(g) + 3*k(g). List the prime factors of x(38).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -152, -63, 33 in decreasing order.\nAnswer: 33, -1, -2, -63, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and (-2)\/(-12) + 98\/(-6) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/13)*y)\/((y**(1\/3)\/y)\/y))**9 assuming y is positive.\nAnswer: y**(276\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1)*(100\/64)\/1?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - -98)\/(8\/10). Let t = h + -133. Determine f so that 1\/2*f + 0 - 5\/4*f**2 + t*f**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 2. Let f = -0.4 + t. Is 3 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1945 by 5.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0223522 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4077813nm to millimeters.\nAnswer: 0.0000004077813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1195 = 2*s, 3*s + 0*s = -5*k + 1805. Let n = -595 + s. Solve 5*l + 10 = n*u + 2*l, 0 = u + 2*l - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2332 and 586966732.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = 2*m, -2*b - 1 = 47*m - 52*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0 + 7\/6*a**3 - 3*a + 0*a**2. Determine g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43515.05um?\nAnswer: 43.51505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*t + 15, -3*h = -17*t + 22*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -21, -0.4, 160, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-72) - (-2128)\/(-576))*(-9)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -4*y. Suppose 3*k = k + y. Let g(i) = i**3 - 5*i**2 + 6*i - 6. Let a be g(k). Solve a*v - v = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.06 (c) -0.06264 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)\/(h*h\/(h**(-2\/13)*h*h))*(h*h*h\/h**(-2\/3))\/h*h*(h\/h**(-2))\/h assuming h is positive.\nAnswer: h**(293\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 - 15*n**2\/2 + 19*n - 6. Let i be d(-16). Suppose 2\/9*w - 2\/3*w**2 - 2\/9*w**4 + 0 + 2\/3*w**i = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 - i - 2. Let k be g(2). Let t be (-285)\/(-18) + (-20)\/k. What is the highest common factor of t and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15206 - -21357. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*i - 2296 = -4*i + 33*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (3 - 0) - -1. Suppose -33 - z = -j. Find the second derivative of 10*k + 4*k**2 + 38 - j wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 7 + (5 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.42 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - k + 40, 3 = 2*a + 3*k - 83. Solve a = 9*q + 8*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220211247143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21536 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.7322 - -14.7. Round i to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 255504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-42))\/(129\/(-6407)) + (-2)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-132)\/22)\/(-1*3). Solve 7 = -s*a - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 27 = 9*f - 147, 5*f - 60 = -3*k for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*s**2 + 204*s**2 + 207*s**2 + 12*s - 625*s**2.\nAnswer: -s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -5 (b) 2 (c) -4 (d) 0.1 (e) 102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 0*g + 0*g - 4*g**2 + 2*g**2 - 2*g**2 + (-2 - g + 2)*(g + 2 - 2) - 1 + 1 - 3*g**2 + 0*g + 2*g**2 + 0*g to v*g**2 + m*g + b and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 15) to base 2\nAnswer: -110101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 6. Let w = 0 + 4. Suppose -z + w*z - 46 = -4*k, -5 = -5*k. What is the smallest common multiple of o and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10 + 2*a + 13 - 23. Let n(o) = o - 1. Let r(x) = -7*x + 8. Let t(i) = -24*n(i) - 3*r(i). Give t(v(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((22\/4)\/11)\/(1\/2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.065, 5, 0.8, 7, -30\/163?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937228899 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4652 + 841.7?\nAnswer: 841.2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -604*y + 21722. Give j(38).\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*q - 425358 = -187*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167223 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 711006 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490621443 to the nearest integer?\nAnswer: 22150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 93548*x + 93542*x + 3*x**4 - 5*x**2 + 3 to the form v*x**3 + u + h*x + w*x**4 + j*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:46 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827672894?\nAnswer: 2, 3, 151, 281, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000152219169 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2507\/(-184) + 21)*2\/61 and 73\/62.\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38.5113 from 2.91.\nAnswer: 41.4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - (-9)\/(297\/(-390)). What is the closest to h in 2\/9, 0.2, -2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - -149. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44006 bigger than -44005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 3*b - 3. Let o(y) = 2*y**2 - 5*y + 5. Let k(v) = 5*c(v) + 3*o(v). Let a(m) = m**2 - 744 + 744. Determine a(k(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 4*s + 1. Let y be d(-3). Let i = 5 - y. Is i at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/37))**(7\/4)\/(i**11*i**(30\/13)) assuming i is positive.\nAnswer: i**(-6310\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2507400 and 3150.\nAnswer: 2507400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3186480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3170 divided by 5.\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1013 - -418. Let s = 988 + h. List the prime factors of s.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 - -0.14. Let p = 1.05 + a. Is -3\/8 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-40)*(-5)\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 36. Let k = 14 - 14. Suppose k = 5*p - 2*u - 162, -4 = -3*u + 7*u. What is the highest common divisor of p and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/156 and 59\/3536?\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -192571, -192584, -192607, -192646, -192707, -192796, -192919, -193082?\n\"Answer: -p**3 + p**2 - 9*p - 192562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u - 3*u)*(-2*u**2 - u**2 + 0*u**2) to the form x*u + k*u**2 + s*u**3 + o and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255649 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (1 + 6 + 7 + 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.368 in decreasing order.\nAnswer: 4, 0.368, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + (-3 + 8 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-4)*(-10)\/(-75)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 38 = 23*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:06 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*(w*(w\/(w**(-1\/6)*w))\/w*w)\/w)\/w)\/w))\/w**(-4)*((w*w**(4\/7)*w)\/w)\/(w**2\/w) assuming w is positive.\nAnswer: w**(269\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 272\/31?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 6*l + 12. Let f be j(-7). Calculate the highest common factor of 45 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -51. Is (88*3)\/1 + u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 10205360*h + 20410712.\nAnswer: 2*(h + 2)*(h + 5102678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 - 99 = -51*o. Put -4, -408, o in descending order.\nAnswer: o, -4, -408","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 g, and 1 e when three letters picked without replacement from egggggggegegjgege.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 9*f**2 - 10*f - 2. Let t be b(7). Let w = t - 66. Let r = 58 + w. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290571?\nAnswer: 3, 96857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 2*t - 1. Suppose -1 = -2*r + 4*j + 5, -4*j = -4*r + 8. Let p(d) = -2*d + 3. Let l be p(r). Determine s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 27115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -6. Suppose -6*n - l = 4. Sort 22, n, 4.\nAnswer: n, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 1\/5, -0.3, 195?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.701548538 - -0.3098\nAnswer: 1.011348538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43074, 170739, 383522, 681429, 1064466, 1532639, 2085954?\n\"Answer: t**3 + 42553*t**2 - t + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223930 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333 = -68*k + 2081 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2 - 60*a = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*u - 29 = -22, 2*u - 8 = 0. Factor 4\/9*b + 2\/9*b**2 + 0 - 2\/9*b**w.\nAnswer: -2*b*(b - 2)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*x - 4 = 0, 86*q - 88*q + 2*x - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 235*c**2 + 78*c - 277. Is d(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*w - 40 + 15 = 0, 5*d = -2*w - 10. Solve d*v + 12 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) - 134\/(-8). Let z = 10 - r. Let v = 6 + z. Let l(s) = 4*s**2 + s. Determine l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5 = -4*h - 3, 4793*o - 4795*o - 82*h + 53 = -233 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -0.2, -5, 1\/5, -0.02 in increasing order.\nAnswer: -5, -0.2, -2\/29, -0.02, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 23*q**2 - 33*q + 170. Calculate l(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9094*g**4 - 4768 with respect to g.\nAnswer: -36376*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Let l be (r - -1) + (-2 - -5). Let p(j) = -j**2 + 5*j - 3. What is p(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 2*x**4 - 15 - 2*x**4 + 5*x**4 - 4*x**4 + (-3 - 2 + 3)*(x**4 + 0 + 0) + x**4 + 0*x**3 + 0*x**3.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20931*d + 7304913. What is w(-349)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/(-2) - 91\/(-2) and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, -6\/5, 7468, -0.3, 4\/5, 0?\nAnswer: 7468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3 and -65\/73958342.\nAnswer: 221875026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-4 - 5)) + 20 + -25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-25)*g*g\/(g**(-1\/5)*g))**(-12))**(1\/10))**(-16) assuming g is positive.\nAnswer: g**(13056\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1358 + -1355. Let f = 137\/3 + 377\/6. Let p = -106 + f. Which is the second biggest value? (a) p (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -711 - -711.19. Let o = 1.59 + 0.41. Put o, 1, r, -3\/2 in decreasing order.\nAnswer: o, 1, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45\/2 + 22. Which is greater: d or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -4, -30, 137 in ascending order.\nAnswer: -30, -15, -4, 1, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 2*t + 4*p, -5*p = 5*t - 65. Differentiate 14*o + 8 + t*o - 8*o with respect to o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 + 22*j\/17 + 36\/17.\nAnswer: 2*(j + 2)*(j + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 19102368.\nAnswer: -1\/6367456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 14*x**2 + 5*x - 5. Calculate k(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/5, 4, -12, 35\/109, 18?\nAnswer: 35\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 490 = -2*s, l = 3*s + 225. What is the greatest common divisor of l and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4360066 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928732 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*q**3*v**4 - 25*q**3*v**3 - 2*q**3 + 9364*q**2*v**2 - 2*q*v**4 - 2*q*v**2 wrt v.\nAnswer: 312*q**3*v - 150*q**3 - 48*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8225, -8143, -8005, -7811, -7561, -7255?\nAnswer: -6893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817804871 take away 0.132?\nAnswer: 6817804870.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 12*y**2 - 14*y. Let p be t(-12). Suppose 4*b - p = 2*b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -916 - -274. Let r = c + 664. Solve 0 = b - 12*b - r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 36 = 5*v. Let o be (-60)\/v - (-2)\/3. Suppose -o*j = 3*t - 110, -5*t + 4 = j - 15. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*5\/(-60)*4. Let b be 1\/z + 1547\/39. Suppose 4*g - 22 = -t + 18, -4*g + 4*t = -b. Calculate the least common multiple of 1 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2. Let v be r(2). Let z be ((-3)\/v)\/(15\/20). Suppose 0*o - 4*o + 15 = -3*k, 10 = z*o - 4*k. Solve -5*u + o*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/4*7\/(-28). Suppose -3*v + 127 = 5*m, d*m - m + 27 = v. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2542 divide 208441140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 8*s - 2*s - 10*s - 11*s**2 to the form y*s**2 + p*s**3 + v*s + t + i*s**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-70))\/(((-2)\/2)\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7541 divided by -2715.\nAnswer: -7541\/2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/6)\/(4\/(-12)). Let v(h) = 2*h**3 + 10 - 6*h + f*h - 6*h**2 - 3*h**3. Let b be v(-7). Calculate the greatest common factor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 + 4 - -2 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -3657638.\nAnswer: -3657637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -990803 - -1106838.6. Let p = x + -115991.60152. Let a = p - 44. Round a to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 - q**3 + 2*q**3 + (q - 3*q + 4*q)*(-1 + 1 + q**2) + 2*q + 2*q**3 - 2*q + 0*q**2 + 6*q**3 + 2*q**3 - 3*q**2.\nAnswer: 10*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1346 and -55\/32.\nAnswer: 21536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 6 (c) -1\/5 (d) -4 (e) 4\/1295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 7*l + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2182 divide 900954346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.158 + 0.02789719848.\nAnswer: 37.18589719848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.4 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40.6075 - -0.29607\nAnswer: 40.90357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -72. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783 = 353*n - 3795 - 165 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = -2*c, -c + 23 = 4*w. Let a(l) = l**3 + 15*l**2 + 15*l + 24. Let b be a(-14). Let y(t) = 2*t - 4. Let r(i) = -3*i + 7. Give b*y(h) + w*r(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 6*j + 3. Let l be i(-6). Suppose -q = l*r - 8, 0*q - 30 = -2*q + r. Calculate the remainder when 228\/q - 4\/14 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852809 is divided by 3304.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + 798\/(-203).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 18*b + 40. Let s be u(20). Put s, 3, 5, -4, 4 in increasing order.\nAnswer: -4, s, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(3*r + 0*r - 4*r)*(2*r - 2*r + 3*r) - 56*r - 12*r**2 + 56*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495464438 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 5) in base 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16030 = -13*j + 16186 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 4*x + 8, -3 = -w + 3*x. Let t(o) = 3*o**2 - 4*o - 5. List the prime factors of t(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1622, 14196, 48612, 115790, 226650, 392112?\n\"Answer: 1820*p**3 + p**2 - 169*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8350 * -1.\nAnswer: 8350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438327 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and (-2172)\/(-576) + 1\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 64. Let f be n(-13). Sort 8, 0, 3, f in decreasing order.\nAnswer: 8, 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218055*h**3 + 379*h**2 - 182*h?\nAnswer: -1308330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202321018.\nAnswer: 2, 23, 61, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 508 divided by -127\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - -19. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86980337 - -3?\nAnswer: -86980334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:09 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 4*u - 939, -b + 2*u = -313. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 + 476*h**4\/3 + 28322*h**3\/3 = 0. Calculate h.\nAnswer: -119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 - 3)*(-2*p**2 - 2*p**2 + 2*p**2)*(2*p - 2*p - p**2) + (-42*p + 26*p - 211*p)*(0 + 0 + 2*p**3) as r*p**2 + f*p**4 + g*p**3 + u*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -23, 1 in decreasing order.\nAnswer: 2, 1, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**3 + 4*k**3 + 9*k**3)*(0*k + 3*k - k) + 2*k**4 + 191*k - 524*k + 251*k + 537*k to the form u*k**2 + t*k**4 + w + n*k**3 + l*k and give l.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 362. Let a(j) = 3*j**2 - j + 650. Determine x(a(p)).\nAnswer: 12*p**2 - 4*p + 2238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -844 - -860. What is the least common multiple of 192 and b?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1960 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {u: 4, k: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 7851a?\nAnswer: 784c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/22 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 42 + -64 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/42 - (-168)\/(12 - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igpigqhp. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -1 - (-15 - (13 + -34)) - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 - n - 2. Let f be t(-1). Let u be (1*(-4 + 8))\/f. Solve u*c = 5*w - 6, 0*c + w = 2*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3\/5, -794, 1, 34?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + 2*l + 2. Let v be r(2). Let x(i) = -4*i + 6. Let h be x(v). Let c = -18 + h. What is the highest common divisor of 132 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46018790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 29*c**2 - 3333*c - 317. Determine j(115).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnvsvvsvvvnvv. What is prob of sequence snsn?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -29*c + 35*c. Differentiate -2*a**3 - 774 + 4*a**c + 734 + 18*a**4 with respect to a.\nAnswer: 72*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y*y**(-2\/3)\/y))*y)**(-1\/41)*y\/y**(-7)*y*y**(-3)*y)**(-3) assuming y is positive.\nAnswer: y**(-863\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 267\/15)\/((-2)\/10). Suppose -4*a = 3*j - 242 + 6, a + 5*j = c. Is a 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 908885584 to the nearest integer?\nAnswer: 30148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z. Let k(d) = -3*d. Let u(t) = -4*k(t) + 4*l(t). Let a(h) = -15*h. What is a(u(c))?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2203291, 2203299, 2203307, 2203315?\n\"Answer: 8*k + 2203283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**5 + 0*l + 2\/105*l**7 + 0 - 4*l**2 + 0*l**4 + 0*l**6 - 2\/3*l**3. What is the derivative of q(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:13 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13452 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = 49*r + 8. What is the smallest value in 0.5, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 3*s + 9 = 0, -2*n - s = -4. Let l = n - -10. Calculate the remainder when 570\/9 - (-2)\/6*-4 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/35 + 50\/14. Let l be 0\/(4\/(-2)) - -2. Let y be 0\/(b - 1) - l. Is -4\/7 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84992 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 -2\/5? (a) 1560 (b) 1.53 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 15*i**4 - 15804*i**3 + 9381*i**2 + 101052*i + 37908 = 0.\nAnswer: -2, -2\/5, 3, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 228, -2\/15 in descending order.\nAnswer: 228, 0.4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 146*b - 75 = 141*b, 4*i = 3*b - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*q + 0*q + 0*q + (-12*q + 13 - 13)*(-6 + 2 + 2) as u*q + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 + -0.85. Let o(m) = -m**3 + 3*m**2 + 10*m - 2. Suppose -18*s = -8*s - 50. Let b be o(s). What is the nearest to 0.1 in 6, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 + -269. Suppose z = 29*o + 34. Let t = 92296\/27 + -3418. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -27*n + 158. Let j be o(6). Let c be (7 + -10)\/(2\/j - 1). Solve 0 = -c*i + 10 - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m = 237*m + 8772 - 17875 - 10680 for m.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2798 - 2120. Calculate the remainder when q is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 207, 162?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 319*y + 79110. What is s(-248)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3694, -3687, -3680, -3673, -3666, -3659?\n\"Answer: 7*l - 3701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0591 * 5\nAnswer: 0.2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -20943100 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330825 is divided by 13753.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -8*h + 5*g, 4*h + g + 39 = 56 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 1. Let l be u(-2). Let i = 5161 - 5158. Factor j**2 - 29*j**3 + l*j**2 + 32*j**i.\nAnswer: 3*j**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 847 + 515 = -314 - 462 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 36*d**3 + 5*d**2. Let o(t) = -12*t**3 - 2*t**2. Calculate 7*o(b) + 2*u(b).\nAnswer: -12*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 7*g - 6. Let v be f(7). Let h = 94 - v. Solve -2*c = h*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 + -3.8. Let j = 132 - 656\/5. What is the smallest value in j, k, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**(1\/15))**(-38) assuming l is positive.\nAnswer: l**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1216 divide 38713792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264552732 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/4 + 3*g**5\/2 + 21*g**4\/8 - g**3\/2 - 6*g**2 - 6*g - 100. Let x(p) = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.9932 - -31.\nAnswer: 45.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1987858 and 7242?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**0*c*c)\/c**(-3))\/(c**1)**(-3\/16))\/((c\/(c**(-2\/7)\/c))**36)**(-2\/15) assuming c is positive.\nAnswer: c**(9049\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/19))**(-2\/73) assuming d is positive.\nAnswer: d**(-42\/1387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j)\/j*j**(-2)\/j*(j*(j\/j**(-1))\/j*j*j)**(-11)*j**(-7\/4)\/(j*j*j*j**(4\/5)\/j)*j**8\/((j\/((j\/(j*(j\/(j**(-4)\/j))\/j*j))\/j))\/j) assuming j is positive.\nAnswer: j**(-931\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7 and 95\/51722.\nAnswer: 362054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {w: 1, h: 2, u: 7, g: 1, p: 5}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(605))**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 23*r**2 + 54*r + 18. Let l be a(8). Factor 2*z + 3 + 1\/3*z**l.\nAnswer: (z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1273 + -517. Suppose 5*b - g = -b. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 2*n**2 + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = -2*w. Suppose 0 = -3*b - 3*s + 3 + 15, 2*s = -3*b + 20. What is the greatest common divisor of w and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 118 = 6. Let q(o) = o + 18. Let z be q(s). What is the first derivative of -107*b**3 + z + b + 118*b**3 - b wrt b?\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -1\/1458 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, -0.4, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1899 and -38.595?\nAnswer: 73291.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, s: 10, b: 1, y: 1, g: 1}. What is prob of picking 1 y, 1 b, 1 s, and 1 g?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883.264 kilometers in meters?\nAnswer: 5883264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11589?\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 382*s + 97. Let l be 4\/10 + (-1544)\/(-40). Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 955 + -676. Suppose 5*u = 5*n + 255, -10*u + 15*u = -3*n + s. Which is smaller: u or 63?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 334*z**4 - 2*z**2 - 861*z**4 + (-2*z**2 - z**2 + 5*z**2)*(-3*z**2 + z**2 + 0*z**2) - 13*z**4 + 21*z**4 - 14*z**4 + 5*z**4 - z**4 - z**4.\nAnswer: -534*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-29\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, j: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:35 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39013621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f - 9236 - f + 4*f.\nAnswer: f - 9236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008253234 rounded to 4 decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 8*b + 24.\nAnswer: -2*(b - 6)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -213, -210, -205, -198, -189, -178?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100346.\nAnswer: 2, 157, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 18*v**2 + 35*v + 6. Let l be 588\/196 - (-1)\/(1\/(-6)). What are the prime factors of w(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17569 - 17581. Which is the second biggest value? (a) -0.1 (b) 0.04 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31*2 - 4\/2. Let d(q) be the first derivative of q**4\/4 - 3*q**3 - 2*q**2 + 30*q + 137. Let z be d(10). Calculate the highest common factor of s and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*j + 3*j. Suppose 2*f + j = 1. Sort -2, f, 0 in ascending order.\nAnswer: -2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = r - 5*x, 2*r - x - 3 = 0. Suppose -4*l - 10 = 6, 5*p + r*l - 14 = 0. Suppose -28*w = -29*w + 3. Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 + 55*a + 37. What are the prime factors of p(9)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*q + 1 + 3 = 0, -3*q = -2*j - 3. Suppose j*f = f. Is f smaller than -1\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 5. Calculate the remainder when s is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 374 + -364. Sort -6, d, 3.\nAnswer: -6, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -74. Let q be 347\/35 + b\/21. Which is smaller: 11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2 (b) -4 (c) 7\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -22. Let x = m - -7. Which is the second biggest value? (a) x (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505155499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 412180736 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(4*sqrt(128) + 3) - ((-4 + -1 + sqrt(128))*4 + -1))**2.\nAnswer: 40128*sqrt(2) + 251057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -4251200 - 1) + (-8 + 16 - 3). Round q to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15123 is divided by 4744?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16826, 16831, 16838, 16847?\n\"Answer: m**2 + 2*m + 16823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49800, 49784, 49766, 49746, 49724?\n\"Answer: -i**2 - 13*i + 49814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p - 20. Suppose 4*f + p = 68. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923510999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 351b0 (base 12) in base 15?\nAnswer: 16119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 - 6*c**4 + 15*c**3 - 8*c**2 = 0. Calculate c.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**5 + 10*j**5 - 7*j**5)*((5 + 2 - 6)*(-3 + 4 + 1) + 0 + 2 - 4 + (0 + 3 - 4)*(-2 + 4 - 1)).\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaaraaa. What is prob of picking 1 a and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 3}. Give prob of sequence ggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35 + -39)*(-31)\/(-4) + 3. Let v be l\/8*((-96)\/(-28) - 4). Solve -2*s - 4*j = v, -s - 2*j - 11 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6065, -0.5, 3, -5, -0.3 in ascending order.\nAnswer: -6065, -5, -0.5, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 10. What is the third derivative of -f**p + 3*f**6 - 7*f**6 - 5*f**2 wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434436169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268453 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 3142*x - 224*x + 765*x.\nAnswer: -2601*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3 + 7*x - 3 + x**2 + 4. Let b be c(-5). Let z = 9 + b. Solve q + 2*k - 6 = 0, -2*q - 6*k + z = -5*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/((-40)\/(-10)))\/((-6)\/(-3)))\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13566434 (base 7) to base 11.\nAnswer: 7a2650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let u be ((-2 - p) + -2)*-30. Suppose u + 28 = 2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let v(f) = -12910905*f**2. What is h(v(z))?\nAnswer: 666765871676100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/135 and (-110)\/81*((-2534)\/252 - -10).\nAnswer: 3645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 103*t + 1521. Calculate the remainder when 351 is divided by m(115).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -58*h - 108*h + 163*h. Let p(o) be the first derivative of 32*o**3\/3 + 8. Calculate p(z(k)).\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1974 + -23b?\nAnswer: -1bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 82. Let i(c) = -2*c. Let r(k) = -k. Calculate t*i(g) - 7*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*y**4 + 31*y**2 - 15*y**2 - 18*y**2 wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49820 by -326.\nAnswer: 24910\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415067, 829942, 1244629, 1659128, 2073439, 2487562, 2901497?\nAnswer: 3315244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 42 = -5*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421289716 divided by -2.\nAnswer: 210644858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:12 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167980576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-7 - 1) - 4. Let v = 23 + s. Suppose 5*t - 3*t = 4. Calculate the lowest common multiple of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -87*h - 39. Let r(j) = 29*j + 12. Let w(q) = 7*r(q) + 2*u(q). Determine w(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 22 = -3*z, 162 = 3*k - 447*z + 444*z. Solve 3*w = k - 64 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/55176 and -49\/14520.\nAnswer: 275880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6379065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -21 - (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -2 (c) 1\/3 (d) -8\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1211930126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -67*i - 7. Let a(x) = -27*x - 3. Let l(s) = -5*a(s) + 2*t(s). Let j(d) = 4*d**3 - 28*d - 28. What is 2*j(h) + 56*l(h)?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 67 = l + 2*l, 5*n = -5*l - 395. Let k = n + 81. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbb. What is prob of picking 1 r and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/5 (b) -23\/5 (c) 2\/11 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12)*(0 + -18))\/(15\/50). Solve -d - q*t - 4 = -37*t, -13 = -5*d - 4*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = -5. Let x(o) = o**3 - 2*o**2 - 3*o. Let n be x(j). Let u be n*(2\/(-2) + 8401). What is u rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5709, 22799, 51273, 91131?\n\"Answer: 5692*p**2 + 14*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21001, 20988, 20967, 20932, 20877, 20796, 20683?\nAnswer: 20532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 50 = -5*j, -718*z + 719*z - 77 = -9*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 231*y**2 + 412*y**2.\nAnswer: 643*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 72 = -2*v, 11085 = 3*v - 10*o + 10411 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 315, -0.1, -3156?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 236 - 2*d**2 + 154*d**3 - 233 - 1360*d**3.\nAnswer: -1206*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -3, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8) - (-15)\/(-2)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54656, -109637, -164618, -219599, -274580, -329561?\nAnswer: -384542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 11*r + 46. Let m be n(9). Suppose 0 = 5*a + 3*w - 2456, 3*a + 27*w = m*w + 1482. List the prime factors of a.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a - -18661?\nAnswer: 18740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -255?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6127716*d - 2231647 wrt d?\nAnswer: -6127716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(18)*-1)\/(4*sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5*u + 10)*(3 - 2*u - 3)*(-1 + 1 - 2*u**2)*(-2*u + 0*u + 0*u).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a = 5. Let z(t) = 18*t**2 - t + 1. Give z(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + (13 - (-45 + 17)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 + 2*d**2 + 22*d + 76. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -3.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Suppose -w*u = 8 - 12. What is the smallest value in u, -1\/3, -0.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3 - 15*p**2 + 5 - 17.\nAnswer: -15*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1616*r**3 + 781*r**3 - 1 + 4 + 833*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 414264.4 milligrams in kilograms?\nAnswer: 0.4142644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i - 2 = -41. Let r(d) = d**2 + d - 1. Let k(o) be the second derivative of o**4\/3 + 2*o**3\/3 - 5*o**2\/2 - 3*o. What is i*k(s) - 6*r(s)?\nAnswer: -2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 14 + -5 + (-2 - 50 - 1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 3, y: 3, f: 6}. What is prob of sequence frhh?\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*c - 43 - 9 = 0, 0 = -3*b + c + 177. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115295.\nAnswer: 5, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 13. Let g be a(-9). Let r be (1 + 0 - 1)\/(-2). Suppose 3*o - 35 + g = r. What is the smallest common multiple of 5 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16690, -23045, -29406, -35773, -42146, -48525, -54910?\nAnswer: -61301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d**2*r**3 - 2*d**2 + 2*d*r - 3837*d + 70715754*r**3 wrt d?\nAnswer: 22*d*r**3 - 4*d + 2*r - 3837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -73*z + 104. Put z, 0.4, 0.1, 7 in increasing order.\nAnswer: 0.1, 0.4, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531657203.\nAnswer: 7, 11, 29, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10695 divided by -20666\nAnswer: -10695\/20666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 + 139*n**3 - 44*n**3 - 48*n**3 + 36*n**2 - 48*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177946*j**3 + 177956*j**3 + 545*j - 545*j.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25272 (base 9) in base 15?\nAnswer: -507e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, 0, -11, 16, 83, -4 in decreasing order.\nAnswer: 83, 16, 0, -4, -5, -11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.1 (b) 0 (c) 0.16 (d) -7 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22162429 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 416 - 382. Let k(x) = x**3 - 36*x**2 + 65*x + 97. Let w be k(m). Which is the biggest value? (a) -1\/3 (b) -3.7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - g)*(-246 - 202 + 54)*(3*g + g + 0*g).\nAnswer: 1576*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632 (base 9) to base 10.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 15.3 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.222632089 and 0.5.\nAnswer: 1.722632089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 687227 and 198677.\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:42 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-308400)*83887 + 2. Let j = r - 259\/300. Let m = 7180\/2313 - j. Find the common denominator of m and -61\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -4\/3 (c) -0.16159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/15*(-3 + 13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-83 + (-1 - -1))*1. Let h = -44 - b. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91? (a) -18 (b) 2\/13 (c) 1 (d) -495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1142 + -372. List the prime factors of s.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-871*q**2 + 586*q - 586*q)*(2*q + 0 - 4 + 3) to v*q**2 + r + t*q**3 + f*q and give t.\nAnswer: -1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 - -0.2. Let v = 2 + y. Let r = 0.4 - 0.3. Which is the closest to r? (a) -0.4 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofoecso. What is prob of sequence sfe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10965 + 5725. What is n rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.86, 5\/6, -3\/5, 0, 0.4, -13, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*-6 + sqrt(3500)*1)\/((sqrt(90)\/(sqrt(12)\/sqrt(4)))\/((sqrt(24)\/sqrt(2))\/sqrt(2))).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/32)\/(14\/(-133))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 14*m = -128. Suppose j = -j. Solve j = -4*w + 3*w + m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 3*g + 108. Let b(o) = 2*o**2 + 5*o - 215. Calculate 3*b(w) + 5*k(w).\nAnswer: w**2 - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-13 - 24 - (5 + -19))) + 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2132 - 2?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 603630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (25619\/(-34))\/((-10)\/100) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.11773126.\nAnswer: 1.29504386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(4\/(-9))*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122300 - 1130?\nAnswer: -123430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (8\/(-20))\/((-5)\/1400 + 0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - 2*f**2)*(-17 + 5*f**3 + 17 + (3*f**2 + 2*f**2 - 4*f**2)*(f + 3*f - 5*f)).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18165, 18229, 18341, 18507, 18733, 19025, 19389?\n\"Answer: j**3 + 18*j**2 + 3*j + 18143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056 at least 4060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*m - 4747 - 77329 = 0 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/176 and 93\/345224?\nAnswer: 690448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 6.9. Let q = h - 6.2. What is the third smallest value in q, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - -6 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 8*b - 37. Give v(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 < 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/6*1)\/((-4298)\/(-471)). Let p = -2\/307 - y. Let i = 0 + -0.4. Which is the smallest value? (a) i (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6 - 33\/(-18). Suppose -h = -2*j + 215, x*j - 2*h - 92 - 126 = 0. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 12980 - 4364. Let y be (-4)\/20*-1 + o\/20. Calculate the highest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*3\/(-2) + -481. Let v = -271 - f. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37337, -37338, -37339, -37340, -37341, -37342?\nAnswer: -37343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 33. Calculate the greatest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18488828 + 0*d**3 + 2*d**2 - 18488830 - 2*d**3 + 70*d in the form m*d + r*d**3 + w + z*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365\/473 + 9\/11. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13903 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 4:37 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -448*c**4 + 978*c**3 - 978*c**3 - 2*c**4 + 4 - 4 + (4 + 2 - 5)*(0 + 0 - c**4) - 3*c**4 + c**4 + 3*c**4 - c**4 - 2*c + 2*c - 2*c**4 + 0*c + 0*c.\nAnswer: -453*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129012\/79 - -1633. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 26 = -2*a, -7*a - 8 = -3*a - 5*w. Suppose -5*j = y - 0*y + 15, j + 19 = a*y. Let b be j\/8*4\/((-4)\/(-2)). What is the nearest to 0 in -5, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10244 (base 5) to base 13\nAnswer: -41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:43 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + j + 21 = 0, -71 = -3*v + 2*j - 13. Let d = v - 7. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*90\/(-36)*1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(132) - 3*-2*sqrt(132))\/(sqrt(84)\/(2*sqrt(700) - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5704 and 1.2.\nAnswer: 6844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -62 and -432\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2652853, -5305703, -7958553, -10611403, -13264253?\nAnswer: -15917103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 2709 + 2728 - 5437.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, 36 in descending order.\nAnswer: 36, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 236 = 460. Calculate the remainder when n is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n**2\/3 + 19994*n\/9 + 19934\/9 = 0 for n.\nAnswer: -9967\/30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**3 + 57*m**2 + 255*m + 234 = 0 for m.\nAnswer: -2, -3\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8985*p + 3332*p - 766*p + 554*p + 1717*p to the form s*p + k and give s.\nAnswer: 13822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -99, -334, -787, -1530, -2635, -4174, -6219?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**3 - w**2 - 14*w + 26. Give g(2).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.01 (b) -1 (c) 95 (d) -1\/2 (e) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {y: 1, d: 1, n: 7, m: 3}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.7 - -344.7. Let z = 313.91 - r. Which is the second smallest value? (a) z (b) -2\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*k + f - 7, -3*k + 5*f - 1 = 0. Suppose 5*t - 3*v = 13, 4*v + 16 = 3*t + 17. Solve t*w - 4*w - k = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:49 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70232367?\nAnswer: 3, 53, 441713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -111731?\nAnswer: -5\/111731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhdh when four letters picked without replacement from {h: 6, d: 1, l: 2, v: 1, b: 2}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7335714031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209895.6 milligrams in kilograms?\nAnswer: 0.2098956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 1. Let p be g(-3). Suppose -2*a + p*a - 7335 = 0. Suppose -a - 127 = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -135. Let g = -7.8 + r. Sort -10, g, 0.3, 3 in increasing order.\nAnswer: -10, g, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 4.671.\nAnswer: -14.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - 27. Let k = y - -68. Find the second derivative of -15*u - 42*u**4 + 54*u**4 - k*u wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339191*t + 339147*t = -176 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/14496 and -133\/6.\nAnswer: 14496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from iiszxnvizzizsiiiv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-51)\/6)*(-2)\/3. Sort j, 1, 3, -3 in descending order.\nAnswer: 3, 1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6123*i**4 - 15*i**2 + 3*i - 26444?\nAnswer: 73476*i**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14373 - -36800. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 + 15*w. Let m(k) = -2*k - 52. Calculate n(m(d)).\nAnswer: -12*d**2 - 654*d - 8892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m**3 + m**2 + 2*m - 1. Let k = 11 + -3. Suppose -3*a + k = 5*w - 23, 3*w - 7 = 4*a. Is b(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/20*8*(-2)\/(-10)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, 0, -115, -1, 5 in descending order.\nAnswer: 24, 5, 4, 0, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assaassssssaa. What is prob of picking 2 s?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 a, and 1 n when four letters picked without replacement from mmnmamnnmapanan?\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320247, -640460, -960649, -1280814, -1600955, -1921072?\nAnswer: -2241165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 51729400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(140)*6)\/(sqrt(40)\/sqrt(40)))\/(5*(-3*(-2*sqrt(720) + sqrt(720)) - sqrt(720))).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*4\/(-18)*(-1071)\/(-105). What is the highest common factor of 119 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6560482 and 24102.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*-1 - sqrt(220))*-1)\/sqrt(10)*-6)\/((sqrt(2592) - (sqrt(2592)*2 + sqrt(2592) - sqrt(2592)))*6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 4. Let f be y(5). Let w be (1\/f)\/((-210)\/(-424)). Let x = w + -6\/35. Which is the nearest to 1\/4? (a) -2\/15 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -6. Let s = -13 + 16. Sort s, z, 0.4 in decreasing order.\nAnswer: s, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7561 + 37809\/5. Sort -4, 0.5, 0.3, r, 42 in descending order.\nAnswer: 42, r, 0.5, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + m - 4. Let d = 89 - 92. Let g be p(d). Solve 11 = -11*h - g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 920 or 937?\nAnswer: 920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -5, 4, 29, 76?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(312) - 2*sqrt(312))\/sqrt(6) - (6*sqrt(156)*-1)\/sqrt(12))*-5.\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 24*i - 4. Calculate the remainder when 113 is divided by a(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-6*2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -21. Suppose 0 = -y - 5*z + 22, 4*y - 180 = g*z - 4*z. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7695\/1710)\/((-9)\/(-28))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -6 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = k + 6, -2*z = 2*k - 16. Suppose 0 = 2*f + 2*v - 19 + 1, -z*f = -4*v - 55. Suppose -r + 2 = 2*y, -2 = -r - 5*y + 3. Solve r = f*s - 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7506 and 77.\nAnswer: -577962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 9*t**2 - 3*t + 193. What is d(9)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 151*j. Let n(v) = v**2. Give l(n(s)).\nAnswer: 151*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3781 - 0?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -283 or 395\/8?\nAnswer: 395\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmuummmuuuumun. Give prob of sequence nnm.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 405, -0.2, -1\/2, -1\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5 + 53592*n**4 + 54040*n**3 - 5949152*n**2 - 54036*n + 5895560 = 0?\nAnswer: -11, -1, 1, 10, 13399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1594*v - 143*v**2 + 1594*v)*(14 - 14 + 2*v) - 2*v**3 + 0*v**3 + v**3.\nAnswer: -287*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jma when three letters picked without replacement from amj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1070, 2503, 4682, 7607, 11278, 15695, 20858?\nAnswer: 26767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/89 in -1\/2, 0.1542, 16?\nAnswer: 0.1542","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, -7\/8, -5?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 2*k - 1. Let i be b(-1). Suppose y + 75 = l - y, -4*l = i*y - 322. Is 13 a factor of l + 4 + (2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -61\/154, -2\/17?\nAnswer: -61\/154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337049509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.8 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/2 + (-6230)\/5880*12. Find d such that -323\/7*d - 1\/7*d**3 - 361\/7 + n*d**2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/((5\/(-6))\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 828401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/12)\/(2\/(-6)*1). Let f be -2 + 1 + 2\/(g\/(-770)). Suppose -16*c + 0*c + f = 0. What is the highest common factor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1341\/4361 or 0?\nAnswer: -1341\/4361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29997872 or -29997875?\nAnswer: -29997872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -372 in -0.4, 3\/7, -407, 2\/9, -0.2?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)**36\/(t**5*t**(-7)))**(-8\/3) assuming t is positive.\nAnswer: t**(-592\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*r**3 - r**3 + 20*r**3 - 12*r - 25*r wrt r?\nAnswer: 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6305944 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.086 - -5.044. Let i = -0.13 + c. Which is smaller: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.2, 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2122301?\nAnswer: -2122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**2 - 203*b - 1060. Give i(-6).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -2) + 11 - -14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17201208 divided by -48318.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16411*r - 3431*r + 14370*r - 915*r.\nAnswer: 26435*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-7)\/((-21)\/(-24)). Suppose 5*m = 0, 0*d - m + y = 4*d. Suppose t**2 - 11*t**5 + 10*t**5 + d*t**4 + t**3 - 3*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**4 - 24*k**3 - 38*k**2 - 22*k + 14. Let t(w) = 5*w**4 - 25*w**3 - 41*w**2 - 23*w + 12. Let u(x) = 6*q(x) - 7*t(x). Find r, given that u(r) = 0.\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 12. Let a be u(-5). Let k = a - -50. Solve -4*y = 4*v - k, -2*v + 2*y = -3*y + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -409 + 407. Which is the nearest to -2? (a) 2 (b) p (c) 0.3 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -405 - -405.323. Let x = -0.129 + n. What is x rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18 = 16. Suppose 2*y - r = -1, -4*y - 2*r = 2*r - 16. Let p be (5 - 1) + 1\/y. Sort 1, d, p.\nAnswer: d, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddddddduddddddddd.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 33) + (-8 + 17 - -24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - k + 50 = 0, -5*k + 0*k - 210 = -5*y. Let q = 48 - y. Solve -16 = 4*d - m, 14 = -2*d + q*m - 0*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1800 and -37\/1575.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*m**3 - 239*m**2 - 204*m + 95.\nAnswer: -(m + 19)*(3*m - 1)*(4*m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let n(s) = -53*s**3 - s - 3. Give 3*m(b) + n(b).\nAnswer: -53*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -173*t + 8. Let r(h) = -29*h**2. What is s(r(a))?\nAnswer: 5017*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, r: 1, t: 1, e: 1}. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let d(h) = 2*h**2 + 7*h. Let v(s) = 14*b(s) - 2*d(s). Let q(n) = 24. Let k(i) = i + 30. Let j(t) = 4*k(t) - 5*q(t). Calculate j(v(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + f + 4*f**2 - 3*f**2 + 6 + 0*f. Let c be i(-3). What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9610 - -2775.8. Round f to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.33201kg in grams?\nAnswer: 81332.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 279*u**2 + 131*u - 1103. Calculate v(-139).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Give y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15111 + -2403?\nAnswer: 12304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 7*k**2 - 4. Let a(w) = -7*w**3 - 15*w**2 + w + 9. Determine 4*a(j) + 9*p(j).\nAnswer: -j**3 + 3*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -2)\/(4\/3). Let l be (1\/h)\/(((-20)\/15)\/(-4)). Let u(x) be the third derivative of -x**4\/8 - x**2. Let v(f) = -f. What is l*u(w) - 4*v(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096236 to four dps.\nAnswer: -0.0962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 5997225*z**3 - 11994465*z**2 + 5997235*z.\nAnswer: 5*z*(z - 1)**2*(z + 1199447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(-15\/2))**8 assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*x - 20, -4*z + 3*x + 212 = 191 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6871540 and 760?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 42 + 78. Suppose -h = -2*o + 30. Let l be 2 - 2\/((-2)\/7). What is the highest common divisor of l and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p**2 - p**3 - 4*p - 7 + 10*p**2 + p**4 + 6 + 10*p to n*p**2 + g*p + x*p**3 + o*p**4 + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykykqkkzkkkyqy. Give prob of sequence yz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 253728.\nAnswer: -1\/63432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(19) + (sqrt(2736) + 1 - sqrt(2736)) + 5 - (-4 + (sqrt(19) + sqrt(684)*-1 - sqrt(19))))**2.\nAnswer: 140*sqrt(19) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 4. Let j(d) = -7*d - 7. Let x = 48 + -37. Calculate x*c(k) - 6*j(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -7*z + 204. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - w + 1. Let p be o(1). Let j be (-13)\/p + (-8)\/(-12). Solve -26 = j*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {l: 2, m: 2, n: 3, r: 4, h: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.9734369 to two decimal places.\nAnswer: -8.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 7*n**2 - 2. Let v(q) = 3*q**3 + 14*q**2 - q + 3. Let m(h) = -5*k(h) - 3*v(h). What are the prime factors of m(7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/135 and 37\/141.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4177627 is divided by 835523?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -19*k**3 - 3*k**2 - 40*k + 62. Does 122 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 2*m + 1. Let u be -3 + 2 + 0\/(-2). Let w be d(u). What is the derivative of -2 + 0 + w - y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 2.010891\nAnswer: -2.010891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-630))\/((-1)\/3). Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 591*y + 27322 - 27322 in the form l + h*y and give h.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19*m + 63. What is d(9)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89233 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**5\/190 - 29*l**4\/114 - 13*l**3\/3 - 507*l**2\/19 + 596*l + 1. Factor u(x).\nAnswer: -2*(x + 3)*(x + 13)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 4*o**4 + o**4)*(-9*o - 112 + 112 + (-o - o + 3*o)*(-1 - 2 + 1) - o + o - 2*o).\nAnswer: 26*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -98*g. Let m(f) = -f. Give m(d(s)).\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*a + 55 = 150*a. Suppose 5763775 + 2816230 = 2*d + h, 0 = -a*d + 3*h + 21449985. Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6603 is divided by 135.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/9 (b) -4 (c) 0.05 (d) 1128 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*g + 16. Suppose -2*k = -3*p + 4, -k - 4 = 3*p - g. Suppose 5*q + 29302797 - 2802797 = p. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -82*b - 17632. What is j(-217)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -558, -1112, -1662, -2208, -2750?\n\"Answer: 2*w**2 - 560*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-56))\/(34\/357*(-9)\/(-48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 51. What is the units digit of 298\/6 - q\/(-51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570349 is divided by 392528?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44 - ((26 - 37) + -2 + -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -19.9. Let j = x + 18. Which is the biggest value? (a) 8 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3543*j - 19744*j - 18316*j + 6679*j to the form p*j + f and give p.\nAnswer: -34924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 - 282*f + 6627 = 0. What is f?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/3, 1, -2, 4 in decreasing order.\nAnswer: 4, 1, 3\/4, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f = 2*p + 26*f + 3 + 3, -33*p - 99 = -2*f - 2*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22e90 - 422?\nAnswer: 22a6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 11) + (-4 - (0 - (0 - -5)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + p - 22. Let l(s) = 3*s**2 + 2*s - 32. Determine 8*b(q) - 5*l(q).\nAnswer: q**2 - 2*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/9 - 356*x**4\/9 + 1462*x**3\/3 - 1768*x**2 + 1320*x = 0.\nAnswer: 0, 1, 6, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4220.1 + -4454. Let y = l + 234. Let j be 3\/(-2*(-6)\/(-3)). What is the closest to -1 in 0.3, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let d(q) be the second derivative of q**4\/12 - 17*q**3\/6 - 236*q. Give d(v(n)).\nAnswer: n**2 + 17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102102101 - -110?\nAnswer: -102102101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 276, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 373571.2 millimeters?\nAnswer: 0.3735712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 9*h = -120. What are the prime factors of ((-368)\/(-2))\/(h\/20)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 + 2034 = 74*y - 220 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*r - 60*r - 62*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 646*n**2 + 1. Let i be f(-1). Suppose -978 - i = 5*t. What is the remainder when 27 is divided by 2\/(-9) - t\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (7 - 1 - -94403) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -66. Let w(c) = -4*c**2 + 26*c. Let n be w(7). Let p(j) = 2*j**2 + 26*j - 9. Let o be p(n). What is the highest common factor of o and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/8))\/f)\/f*f*f**(-7)*(f**(2\/7))**48 assuming f is positive.\nAnswer: f**(355\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -95 - o - 97 - 95 + 287. Let t(c) = 31*c + 2. Calculate k(t(x)).\nAnswer: -31*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/60 - 31*u**4\/24 + 37*u**3\/6 - 85*u**2. Let h be z(-32). What is the nearest to -1\/2 in 1, h, -45?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 31083 + 72481 + 41312 = 0. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:18 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 0. Suppose v = 2*r - 6*r + 20. Sort -1\/4, r, -0.4 in descending order.\nAnswer: r, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 226.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(28)\/sqrt(4))**2*-2) + ((sqrt(77)\/(sqrt(99)\/sqrt(9)) - sqrt(7)) + sqrt(7) - -1*(sqrt(7) - sqrt(14)\/sqrt(2)))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 27*p - 9*p + 10*p**2.\nAnswer: 3*p**2 - 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-8))\/((-175)\/(-70) + (-2 - 2)). Solve -c*l = -3*i, 68*i + 3*l = 65*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 722 = -5*v, 196 = 2*u - 2*v - 166. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*-1*(-6)\/3. Let u(n) = -7*n - 1. Determine u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101994817 and 1214.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17950.084294 from 0.81.\nAnswer: -17949.274294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 113?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -4\/3*k**3 + 1\/6*k**4 + 38 - 16\/3*k - 5*k**2. Determine h, given that u(h) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -106) + 30 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 260.1? (a) -2 (b) -0.024 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10*f = -5*f + 47, 5*i + 3*f - 101 = 0. Suppose -17*l + 5*u - 980 = -i*l, l - 484 = -u. Calculate the highest common divisor of l and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*k**2 + 0*k**2 + 20*k**2 + 13*k**2 in the form v*k**2 + m*k + r and give v.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2102121121 (base 3) to base 5\nAnswer: 3012313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3208331 divided by 29.\nAnswer: -3208331\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 5*q + 1\/36*q**5 + 2\/27*q**3 + 0*q**2 + 0 - 5\/54*q**6 + 4\/27*q**4. Factor v(u).\nAnswer: -u*(u - 1)*(5*u + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.67 (c) 12 (d) 16\/5 (e) 0 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -49, -72, -95, -118?\n\"Answer: -23*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 31.4 and 61.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 872.16 at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 202864?\nAnswer: 1014320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 10 - 2*g + 1)*(3*g**4 + 9*g - 9*g).\nAnswer: -6*g**5 - 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 + 5.4. Which is the closest to w? (a) -4 (b) 14 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25710097 less than -47577.018?\nAnswer: -25757674.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6085 to 2 decimal places.\nAnswer: 9.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -2\/15*b**5 + 4*b**2 - 1\/120*b**6 + 11\/6*b**3 + 0*b + 0 - 1\/3*b**4. Calculate the least common multiple of 10 and y(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880 (base 10) in base 15?\nAnswer: 208a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.1, 0.5 in ascending order.\nAnswer: -4, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 25*l = -21*l - 25, 2*v - l + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-265)\/20 + 1*(-4)\/(-16). Sort -5, a, 0.\nAnswer: a, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460466.\nAnswer: 2, 3, 7, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -20?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(56)\/sqrt(7)) - sqrt(15))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15075 divided by -386\nAnswer: 15075\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 72.1. What is the biggest value in 5, -10, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107027.35 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 136 - 211 = 5*p, -3*p = q + 85. Let f = 96 + q. Calculate the smallest common multiple of f and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*t**3 - 1845*t**3 + 2160*t**3.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + l + 65 = 6*l, 3*a + 3*l = 207. What is the smallest common multiple of a and 26?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430711 (base 8) in base 15?\nAnswer: 18847d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 2 + -3 + (8 + -14 - 0) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*k - 24 = 0, -4*k - 15 = -3*b - 7*k. Let j = -423 - -424. What is the remainder when j is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1 - (20 - (-17 + (70 - 50))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3784, 5092, 1448, -9620, -30584, -63916, -112088, -177572?\nAnswer: -262840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00666829 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*d - 537 = 0, 0*x + 3*x - 1593 = 3*d. Suppose 5*g = -1297 - x. Let p = 66 + g. What is p rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.999716 + -65. Round i to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*u - 34 = 0, -4*g + 7*u = 2*u - 86. Suppose 4*b + 4*b = g. Suppose 18 = 2*z + z. Solve -o = -2*f, -z*o + o - 14 = -b*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*(-150)\/(-35)*(-6)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -429, -1004, -1817, -2874, -4181, -5744, -7569?\nAnswer: -9662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.66, 1\/2, -2\/141, 0.1, 1.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1740124 + -24421235\/14. Let k = l + 4252. Find the common denominator of 47\/10 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159991 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8681, 8822, 8973, 9140, 9329, 9546, 9797, 10088?\nAnswer: 10425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 14 - (-5)\/((-10)\/6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 + 1134*o**2 - 8496*o - 18766080 = 0.\nAnswer: -543, -144, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784 and 2069858?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 + -285. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*v - 152. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -283\/15 + 2071\/105. Let -4\/7*v**3 + 24\/7*v**2 - l*v**4 + 2\/7*v**5 - 16\/7*v + 0 = 0. What is v?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11049643.6283 from -0.068.\nAnswer: -11049643.6963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*g - 307*g + 155*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f + 138*f**2 + 111 - 41 - 121*f**2 with respect to f.\nAnswer: 34*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2)**(5\/7)*(s*(s*s**(-8))\/s)\/(((s\/(s\/(s\/(((s*s*s\/(s*s\/s**9))\/s)\/s))))\/s)\/s))**(-1\/43))**11 assuming s is positive.\nAnswer: s**(-264\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y - 10 = 0. Solve 1 = -y*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 82. Let t = u - 20. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -0.07, -3, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*t + 2048 = 624 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 866681, 1733316, 2599951, 3466586, 4333221, 5199856?\n\"Answer: 866635*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-74)*(-4)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 - 3*q**2 - 4*q - 2. Let m be d(-2). Let k = -2 + m. Suppose -k = -3*p - 43. Is -8 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3 - l**3 - 8*l - 9*l**2 + 0 + 1. Let s be a(-8). What is y in 4*y**2 - 2*y**5 + 2*y - 5*y**4 + 2*y**4 - 2*y**4 + y**s = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k**3 - 2*k - 1. Let t(r) = 2*r + 7. Let h(x) = -x + 1. Let n(v) = h(v) + t(v). Let c be n(-7). Let z be c\/((8\/2)\/(-4)). Determine l(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23331719, -23331718, -23331717, -23331716, -23331715, -23331714?\nAnswer: -23331713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -2 (c) 6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*((sqrt(153)*-3 + sqrt(153) - sqrt(153)) + -1)**2 - (-6*(0 + sqrt(153))*4)**2).\nAnswer: -495696 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-793)\/244)\/(-13)*164?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*k**2 + 2\/7*k**3 - 8\/7 - 8\/7*k = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1566 and -107\/24?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-8) + 879*(-35)\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -16 - (130 + -132).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2098067 + -2?\nAnswer: 2098065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2302 times 1.41?\nAnswer: 0.324582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4404 is divided by 754?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -37.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 8}. What is prob of picking 1 d and 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/80)\/((-114)\/1995)*(-30)\/7?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181.1 + -186. Let x = i - -2.9. What is the fourth biggest value in 0.5, x, 0.3, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 57*w**2 - 11*w**3 + 12*w**3 + 23*w - 15*w to the form k*w + o*w**2 + p + q*w**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2436942110 to the nearest 100000.\nAnswer: 2436900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 37*l**6\/720 - 7*l**4\/12 + 8*l**2. Let r(w) be the second derivative of x(w). Let f(i) = -2*i. Calculate r(f(m)).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52050695 to the nearest integer?\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5545 (b) -10 (c) -0.4 (d) 88 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.6609155 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Suppose 3*g = -2*g, 0 = -4*s + 3*g + y. Let j(f) = f**2 + 2*f - 4. Let h be j(-3). Which is the second smallest value? (a) -1\/8 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 11*w + 15. Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 105*j + 787. What is u(-9)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. Let u(t) = -t**3 - 11*t**2 + 12*t + 4. Let p be u(-12). Let q be p + 9\/(270\/(-116)). Put q, 0.5, x in increasing order.\nAnswer: q, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -64727.\nAnswer: -64726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 26 = -16. Factor 8*r - 2*r**2 + 11*r**2 + 19*r**2 - 28*r**4 - 8*r**p.\nAnswer: -4*r*(r - 1)*(r + 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/20*20\/(-54). Which is the third smallest value? (a) -5 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-98)*-14)\/(2 - -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146587.\nAnswer: 7, 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3*-3*(-5)\/(-30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8085.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 - 52514562*g**3 + 344722429013760*g**2 - 344722376499200*g = 0.\nAnswer: 0, 1, 13128640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*k + 10850*k + 396*k.\nAnswer: 10245*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(68))**2.\nAnswer: -4*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(152))\/sqrt(8).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 8, u: 1, k: 2, s: 3}. What is prob of sequence usk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -21 - 0. Let w(m) = m**3 - 6*m**2 - 6*m + 9. Let v be w(g). Solve -5*u = -v - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439225 = -14*x + 439841 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 25. Let z(l) = 67*l**2 - 137*l**2 + 71*l**2. Give z(o(u)).\nAnswer: 4*u**2 + 100*u + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 14824385.\nAnswer: 46\/14824385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/14*14\/(-4). Suppose 7*q = c*q. What is the remainder when (-4)\/(-6)*(39 - q) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142.81*-541\nAnswer: 77260.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0 - 5*w - 3 - w - 2*w. What is the remainder when n(-2) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)\/p)\/p)**(-20))**18\/(((p*p*p**(-7)*p*p)\/((p\/((p**(-5)*p)\/p))\/p))\/(p*p**1)**46) assuming p is positive.\nAnswer: p**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/63)\/(18\/(-243)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/43))**38)**(2\/15) assuming g is positive.\nAnswer: g**(152\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 85069*w + 1276051. Determine c(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - n - 2. Suppose 38 + 10 = -3*t. Let h = t - -17. Let w be y(h). Which is the closest to w? (a) -0.3 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 2. Let f be o(2). Is (f\/66)\/((-2)\/834) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3604 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214039*s**3 - 5*s - 52*s**4 + 214039*s**3)*(-3 + 4 + 0)*(4 + 2 - 4)*(-3 + 0 + 4).\nAnswer: -104*s**4 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 157, 160, 163?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**8\/840 - 11*r**7\/525 + 4*r**6\/75 + 32*r**5\/15 - 5715*r**2. Let h(t) = 0. Calculate t.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15404080 - 14*g**2 + 15404080.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 834*y - 34. Let g be m(5). Suppose -i + g = -5*f, 0 = -0*i - 5*i + 3*f + 20636. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -170567?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 41280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + f + 192 = 0, 157*f = -l + 154*f + 74. Solve -l*q + 109 = -41 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -2. Let v(g) = -22*g - 136. Calculate the remainder when 101\/3 - (-6)\/h is divided by v(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/4 + 0 + (345\/30 - 10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = 4*m. Let j(z) = 2*z**2 - 9*z + 3. Let u be j(m). Let c = u + -5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-2*6\/16). Let j = q - 5. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + -3 + 6 - -3. Suppose w + 28 = 4*a. Suppose a*v - 20 = 2*v. Solve 0*q = -5*h - 3*q - 40, -v*q = 3*h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(((-198271)\/3270)\/107)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-35)*6\/(-12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 92, 148, 234, 356?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*d - 20, 40656*j + d = 40658*j - 13 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 590 - 992. Let y = l + 269. Let w = y + 539\/4. Is 3 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*-41.2\nAnswer: 1359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**(4\/3))\/l)*l)\/l**(-4\/29))**11)**47 assuming l is positive.\nAnswer: l**(156134\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - 1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 172 = 5*l. Suppose a + 12 = 4*x, 2*x - l = -0*x - 4*a. Let k be (24\/9)\/x*3. Solve -3*o + 4 + k = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1220 = -4*g + 5*k - 10*k, 4*k = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 33 = -3*s, -y - 5*s + 138 = 173 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193101751.\nAnswer: 19, 3304991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:43 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 23 = 5*j + 5*d, 0 = d + 1. Let u be (2 - -1)*46\/j. Let a = -12 - u. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*o - 44*o + 164. Let d = 41 + o. Solve d = -t - t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 6, e: 5}. What is prob of sequence lbb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263712467.\nAnswer: 263, 1002709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, -4, 2, 4337 in ascending order.\nAnswer: -49, -4, -2, 2, 4337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)*p*p**(6\/7))\/(p*p**0*p*p)**33*(p**(2\/3))**(-12)*(p\/(p\/((p*p**0)\/p)*p))**(-29) assuming p is positive.\nAnswer: p**(-2644\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**8\/112 + 8*k**7\/105 + k**6\/8 - k**5\/10 - k**4\/3 + 2*k**2 - 19*k. Factor d(c).\nAnswer: c*(c + 1)**2*(c + 4)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {g: 2, e: 4, p: 2, i: 1, y: 5}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 - 21*s**2 + 0*s + 0*s**3 + 1\/360*s**5 + 1\/72*s**4. Let m(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (139 - 129)\/((-5)\/(125\/(-30))).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 + 8222*d**4 + 1197778*d**3 + 42845858*d**2 - 4791080*d - 171514984 = 0 for d.\nAnswer: -71, -2, 2, 4253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*t**2 + 173*t**6 - 10*t**2 + 175*t**6 - 3 + 130*t**6 wrt t?\nAnswer: 57360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 379232?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.9. Let u = 262 - 525\/2. Which is the closest to 1? (a) s (b) u (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191284 and 199723.\nAnswer: 13581164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7*b**(16\/3))\/((b*b\/(b**(8\/9)*b))\/b**(-2\/11)) assuming b is positive.\nAnswer: b**(1192\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -0.4, 0.1, -0.6.\nAnswer: -0.6, -0.4, 0.1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-12)\/(-4) + 1). Let m be (2 + 0)*1\/(-2). Let j = -0.4 + -0.1. Which is the closest to m? (a) j (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 + f + 8. Let a be l(4). Let h = a - -231. What is the greatest common factor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let f = -18 - -17.9. Sort f, p, 3 in descending order.\nAnswer: 3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 9*l + 2. Let j be w(9). Suppose 0 = 2*y - 7*y - 5*i + 5, -j = -3*y - 4*i. Factor -2*m**2 + 5*m**y - 4*m**3 - 4*m**2 - 3*m**2.\nAnswer: -4*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79445059600*m**2 - 196738280*m + 121801.\nAnswer: (281860*m - 349)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 109 and 15728533544?\nAnswer: 15728533435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 83414*k - 103183117. What is t(1237)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256381707*n**2 + 682053472 wrt n.\nAnswer: 512763414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l + (2*l - 1 + 1)*(2 + 3 - 7))*(l - l + 2*l**2) - 1 + 1 - 37*l + 2*l**3.\nAnswer: -8*l**3 - 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*k - 22 = 0, 5*k = 92*b - 88*b + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/17*25\/(225\/(-207))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 2*c + 2*c + (2*c + 2*c - 2*c)*(0 - 3 + 1) + 2*c + 11*c + c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21144*a**3 + 32 - 2*a - 97 + 21141*a**3 + 2*a + 65.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22171*y**3 + 2960*y - 3 wrt y.\nAnswer: -133026*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.78 - -1.78. Put -0.1, -6, y in decreasing order.\nAnswer: -0.1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18795646 and 547446.\nAnswer: 56386938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 880\/171 + -102\/19. Which is the biggest value? (a) 0.22 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -589\/867?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -722 - 167?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((10\/(-75))\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-20)\/(-16) - (-2247)\/12. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 3713130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*d + 3 - 5 = 0, 0 = -4*n - 3*d + 5. Suppose 4*f - 6 = 2, -4*m + 5*f - 22 = 0. What is the nearest to n in 5, -2\/3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkegphk. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7166, -7160, -7154, -7148?\n\"Answer: 6*w - 7172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -188, -376, -564, -752, -940, -1128?\n\"Answer: -188*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:32 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190187?\nAnswer: 23, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-9 - -4)*1) + -2. Suppose 2*t - d - 874 + 75 = w, 3 = d. What are the prime factors of t?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3073*g**2 + 3538*g - 8. Let t(h) = -1536*h**2 + 1770*h - 5. Let z(a) = 3*m(a) - 5*t(a). Find the second derivative of z(f) wrt f.\nAnswer: -3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**7\/4620 - c**6\/1980 - 35*c**3\/6 + 49*c**2. Let l(o) be the first derivative of h(o). Let l(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:35 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.75 - -3.25. Which is the fourth smallest value? (a) -2 (b) u (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -24*b**2 + 30*b + 14. Let v(r) = 22*r**2 - 24*r - 13. Let w(s) = -5*v(s) - 4*y(s). Let n(i) = 7*i**2 - 4. What is -13*n(h) - 6*w(h)?\nAnswer: -7*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1.1. Which is the closest to 0? (a) 0.2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3096 and -121\/108.\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**4*v - 353*a**2*v**3 + 81*a*v**3 - 5*a wrt a.\nAnswer: 180*a**2*v - 706*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 84974771 and -6.8946?\nAnswer: 84974777.8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -2, -234, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d - 24*d**3 - 1\/2*d**2 - 44. What is the second derivative of y(n) wrt n?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/2 - 72319*u\/2 = 0. What is u?\nAnswer: 0, 72319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpp when four letters picked without replacement from {r: 1, y: 1, g: 2, p: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-4))\/((-6)\/16). Suppose 5*o - z*o = o. Let r be (0 + -3)*(4\/(-2) - o). Solve 0 = 5*g - 2*a + 16, 0*a = -g + 5*a + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33558 is divided by 16775.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -34*z + 1. Let h(q) = 345*q - 10. Let r(a) = -10*c(a) - h(a). Let m(i) = -i**2 + 0*i**2 + 6*i**2. Calculate r(m(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhyvvvkkimvyii. Give prob of picking 1 h and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184105084103 - 184105872454.40047. Let w = 788345 + t. Let q = w + 6.4. What is q rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.019 - 0.381. Let k be (4 - (9 + -3))\/(-5). What is the nearest to k in -2, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(110) + sqrt(110)*2 - sqrt(110))*2)\/((sqrt(90) - (sqrt(90) - (1*sqrt(90) + sqrt(90))))*5))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 6. Let o(x) be the second derivative of x**3\/6 - x**2 + 4*x. Calculate -7*o(a) - 2*u(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1094, 3713, 8096, 14255, 22202, 31949, 43508, 56891?\n\"Answer: 2*b**3 + 870*b**2 - 5*b + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s - 5. Let n(u) = 29*u - 99. Give g(n(r)).\nAnswer: -232*r + 787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 7*r + 6. Let w be (-18)\/(-2)*-1 + 2. Let q be c(w). Suppose -q*d + 185 = -d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 + 552*m**4 - 1626*m**3 - 3292*m**2 + 4368*m = 0. Calculate m.\nAnswer: -2, 0, 1, 4, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/15)*m\/(m*m*m*(m\/(m\/((m**(-2)*m*m)\/m)*m*m))\/m*m*m*m*m))**(-42)\/((m*m*m\/(m\/(m\/m**(-1\/2))))**(-13)*m**(-3)*m*m**2) assuming m is positive.\nAnswer: m**(903\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2703\/12535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 3. Let n be -2 - (4 - (4 - 2)). Let b = l + n. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8929 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 4, m: 1, x: 3, t: 1, a: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 19.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181685 - 90837 + 10*g - 90848.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -365*b**2 + 2*b + 2. Let a(j) = -730*j**2 + 5*j + 5. Calculate 2*a(g) - 5*q(g).\nAnswer: 365*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 170 = 4*o + 159 + 155, 22*o + 5*g = -163 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*y - 17, -3*h + 73*y + 35 = 83*y for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.485 or -589?\nAnswer: -0.485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/10781, 0.4, 5.\nAnswer: 4\/10781, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 10*v**2 + 4*v + 3. Let j be c(-4). Let r = 111 + j. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let m be (1*0\/q)\/2. Let x = 1\/45 - 28\/45. Do m and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*k = -3*k - 11135, 27825 = 5*a + 5*k. Suppose 0 = -16*f + a - 702. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475 = 54*r - 2285 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 3*j - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 54. Let d be k(-26). Let r = 2 - -2. Suppose 0 = a - r, -i = i + 2*a - 20. Calculate the highest common factor of i and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12749988 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 198*u**2 + 125*u + 319. Calculate o(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55289 + -85289. Round a to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-794\nAnswer: -794.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*b = 2032, b - 3*b = 2. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/1980)\/(-2*(-3)\/54)*(-14)\/406?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59327 is divided by 557.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -1 (b) -3 (c) -3583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-12) - 242\/(-33). Let j be -5 + (16 - c) + -4. Solve -2*r + j = 3*u - 15, 2*r = 5*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0827896+0.37747\nAnswer: 0.4602596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2. Let b(i) = i + 1. Let y(c) = -3*b(c) - 3*r(c). Let p(j) = -3*j**2 - 14*j - 6. Let m be p(-4). Give y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13\/s**32 assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 36341?\nAnswer: -36345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37931, 142, 0.4.\nAnswer: 1\/37931, 0.4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1. Let p(a) = -329288*a - 27. Let y(c) = -22*k(c) + 2*p(c). Let x be y(-7). What is x rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.583 + -0.883. Which is the fourth smallest value? (a) -3 (b) 2\/7 (c) -5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-72)\/(-10)) + (-6 - -11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 9 - 1 - s - 2697 - 586*s + 2697 + (-2*s + 0 + 0)*(-1 + 3 - 1) - 4*s + 2*s + 3*s as h*s + q and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - s - 616683 = 0, 5*s + 4933461 = -22*j + 38*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + a)*(10 + 11*a - 10).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675817 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53 + -12*5\/20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-9)\/6)\/((-2)\/4). Let h(n) be the third derivative of 0 + 6*n**2 + v*n + 5\/6*n**3 + 0*n**4 + 1\/10*n**5. What is the derivative of h(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/5)\/2*35\/105?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12225700 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.7167929 to zero decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 56*o + 1. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 93 = p, -5*p + 20 = -p. Let x be (240\/10)\/(2*1). Suppose 0 = -5*w + 32 - x, 0 = -3*t - 2*w + f. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/3 - 172577*i**2\/3 + 7495756511*i\/3 - 4311567177247\/3 = 0.\nAnswer: 583, 85997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -197826 and 4122?\nAnswer: -815438772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2043 by 2043.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9261 = 57*l - 12168 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-12)))\/(s*s*s**(5\/8)) assuming s is positive.\nAnswer: s**(75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 129bb (base 13) to base 2\nAnswer: 1000011101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161031*i**3 + 15*i**2 - 2*i + 944.\nAnswer: 966186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (14 - 9))*150\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-1\/3))*s**(-3)*s*s**(-3\/7)*s\/((s**(2\/7)*s)\/s) assuming s is positive.\nAnswer: s**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128029 is divided by 3069?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 2*s**2 + 2*s - 5. Let m be j(4). Let q = -25 - m. Suppose -4*d - 115 + 507 = q*w, -w + d = -108. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g - 7. Let r be o(6). Let k be (3 - 0) + r - -1. What is the second derivative of -3*c**3 + c**5 + 3*c + 3*c**k wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -47?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/(6\/45). Suppose 2*x = y + 3. Does 12 divide 1\/2 + 122\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*v = -7*y + 150, -7*v - 368 = -144*y + 126*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1781 and 369626?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/9 + 68\/9*g**2 - 2\/9*g + 2\/9*g**3.\nAnswer: 2*(g - 1)*(g + 1)*(g + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + d - 6, -48*v + 97*v = 46*v + 4*d + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:31 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and -43\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:10 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*t + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1322 - 41871 = -41*m. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179*h**2*q**2*w**2 + 2*h**2*q**2*w + 7*h**2*q*w**2 - h**2*w**3 - 2*h**2*w**2 - h*w**2 + 2630*q**2*w**3 wrt w?\nAnswer: -6*h**2 + 15780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*x = 4294, 0 = 2*d - 3*x + 5*x - 2856. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2394\/8 + (-12)\/48. Let q = s + -156. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-12)*2\/(-14). Let d(z) be the third derivative of 0*z + 0 + s*z**3 + z**2 + 1\/24*z**4. Find the first derivative of d(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 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: Calculate the remainder when 382 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 587?\nAnswer: 10\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1088592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hns when three letters picked without replacement from {h: 7, s: 2, f: 3, n: 5}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(1 + 2*sqrt(475) + sqrt(475) + -6*(sqrt(475) + 0) + sqrt(475) + sqrt(475) - (4 + -3*-1*sqrt(475))))**2.\nAnswer: 1920*sqrt(19) + 121744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**2 - s**3 + 2*s**3 + 0*s**2 + (2*s**2 - 4*s**2 + s**2)*(-2*s - 2*s + 3*s) - 3*s**2 + 3*s**2 + s**3 + 2*s**3 + 2*s**3 - 3*s**3.\nAnswer: 4*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.05 (c) 0.1893 (d) 0.2 (e) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, o: 1, h: 1, p: 5, x: 5}. What is prob of sequence ap?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15447867436593.\nAnswer: -15447867436588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2*(-18)\/15 + 17. Calculate the highest common factor of d and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 8:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5362371, 10724743, 16087115, 21449487, 26811859?\nAnswer: 32174231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w**3 + 173*w**3 - 20*w + 40*w - 20*w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 22*p + 23. Let a be u(21). Let n = a - 41. Solve -40*f**2 + 17*f**5 - 30*f + 45*f**4 + 11*f**n - 5 - f**3 + 3*f**5 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-119)\/187*6\/21?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/484 and -139\/13860.\nAnswer: 152460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 15 = 2*l. Let d(j) = j + 4. What is the units digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1978355575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 772 - 770. What is the biggest value in -19, u, -3\/5, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-15))\/((-10)\/(-90)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 0*i + 0*i + (3 - 3 - 1)*(-1 - 2*i + 1) + 4*i + i - 4*i - 469 + 469 + 366*i.\nAnswer: 365*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79687839 + 79687876.8990024. Let h = -37.919 + m. Let q = 0.02 + h. Round q to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(23\/2))**(1\/73) assuming v is positive.\nAnswer: v**(25\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161672, 323614, 485818, 648284, 811012?\nAnswer: 974002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 348*a**2 + 5931*a + 2974. Determine m(330).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/21)\/(v**(-1\/55)\/v) assuming v is positive.\nAnswer: v**(1286\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5967640\/(-63939))\/(4\/6)\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qzqzqqqq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1337 divide 8349565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6683c1 (base 15) to base 9.\nAnswer: -10168781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n - 77 = -65*n - 243 - 68 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10874?\nAnswer: 2, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 175*u**2 - 114 wrt u?\nAnswer: 350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:49 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1178 - -6217. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 + 11*x**4\/5 + 33*x**3\/5 + 9*x**2\/5 - 54*x\/5.\nAnswer: x*(x - 1)*(x + 3)**2*(x + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38054870 divided by 543641\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-6644)\/(-121) - ((-15)\/55)\/3. Is 77 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 124\/43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, 3, 49, 10 in decreasing order.\nAnswer: 49, 28, 10, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(3)*2 + (sqrt(3) + sqrt(3) + 0)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 28 + 16 + 12. Let z(n) = 30*n**2. Determine z(u(p)).\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/3 (c) 5 (d) -0.02 (e) -1\/7 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) - 4\/(-8). Suppose 0 = -2*g + 5*q + 30, 3*g + 3*q - 4 + 1 = i. Suppose 4*n - 18 = 2*n. Calculate the least common multiple of g and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 50400532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7103*o. Let y(z) = -1749*z**2. Give r(y(k)).\nAnswer: 12423147*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -129?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(2) + sqrt(2))*2 + sqrt(32)*-3*-3.\nAnswer: 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - -42. What are the prime factors of f?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 118*x + 498. Determine q(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 20, -u + 0*u + 15 = h. Calculate the highest common factor of h and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 750 = -126. Let f = x + 369. Let a = f - 80. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 14 = 4*t, 45*u + 3*t + 25 = 50*u. Let b = 20 - 18. Solve 4*v - 5*c - u = 2, 0 = -b*v + 4*c + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/(-3) - (4 + (-11)\/3). What is the highest common divisor of g and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11714 + 11809. Solve -15*p = -t + 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*33\/44.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -383834 from 1526.\nAnswer: 385360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -0. Let u(g) be the second derivative of g**4\/6 - g**3\/3 + g**2 - 5*g. Let t(p) = -2*p**2 + 2*p - 3. What is h*u(y) - 3*t(y)?\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, c: 12}. What is prob of picking 3 i?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 12321178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -7, 0.467, -0.4, -0.149?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/3 - 226*t**3\/3 + 4018*t**2\/3 - 4730*t = 0.\nAnswer: -129, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-71)\/4)*-12. Is q greater than 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4258133 to the power of 1\/2, to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11103 - -11108. Calculate the greatest common factor of j and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22901 + -22889. Let q(i) = -i**3 - 7*i**2 + i + 9. Let h be q(-7). Solve -h*j + w = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1086 - -30.8914. What is the second smallest value in -3, -4\/7, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293771904269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -0*w - 5*w. Suppose 150 = -22*n + w*n. Calculate the least common multiple of n and (-1)\/3*(-36)\/4.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 15.3. What is the closest to 1\/3 in 0.1, o, 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5777147, -11554291, -17331435?\nAnswer: -23108579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.173 (b) 937\/4 (c) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -202518600 to the nearest 1000000.\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.8 - 13. Sort 5, t, -2\/5 in decreasing order.\nAnswer: 5, t, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2339*r - 4 - 7 + 14 - 3 in the form c*r + a and give c.\nAnswer: -2339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -542*u + 13163. Suppose 0*p + 2*o = p - 22, 0 = p + 5*o - 1. Calculate the remainder when b(24) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.36164754 rounded to 1 dp?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -1.9, 1\/18, 13\/2165, -4, 2\/5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 83937519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1104 and 4?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 455 + 5200. Let d(v) = -v**3 + 6*v**2 - v + 8. Let k be d(6). Suppose j + k*j = b. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 41e52?\nAnswer: -41e50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/3)*n*((n*n**(-3\/11))\/n)\/n)\/(n**(-2\/3)\/n)**(-4\/13) assuming n is positive.\nAnswer: n**(126\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 208 = -8*a. Calculate the remainder when 193 is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:12 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/65 in -1, -3, 1\/10, -2\/55, -2\/7?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*c**3 - 11*c**2 + 6*c wrt c.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.3094975.\nAnswer: -0.3094975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16344 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 2*m)*((6 - 2 - 2)*(-3 + 0 + 2) + 2 - 2 - 2 + (35 - 23 - 36)*(-4 + 11 + 0)).\nAnswer: -344*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:54 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(325) + -2 + sqrt(52)))**2.\nAnswer: -70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 41. What is the remainder when 169 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from ctcttcttttt.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, z: 2, h: 9}. Give prob of sequence hz.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 + (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -29, -16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:27 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 10, 2*b + 5*n = -17 - 5. Let t(w) = -w. Let d(f) be the first derivative of 7\/2*f**2 + 0*f - 1 - 1\/3*f**3. Give b*t(v) - d(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:35 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.740097ng in micrograms?\nAnswer: 0.008740097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 1039*z + 32076. Give p(-31).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59687383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29025 divided by -5?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - 3*l**4 + 4*l + ((-l - 4*l + 3*l)*(-1 + 2 + 1) + 3*l - l + 0*l)*(4*l**3 - 5*l**3 + 0*l**3).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose 0 = -c*a - 3*q - 11000, -27500 = 5*a - q - 4*q. What is a rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -8 (c) 12238.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 11*l**2\/6 + 4*l\/3 - 1\/2 = 0.\nAnswer: -1, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -366582968, -366582971, -366582974?\n\"Answer: -3*w - 366582965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -4, 2, 33.\nAnswer: -4, 2, 3, 26, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Suppose 3*d + 3 + 12 = 0. Let c = -3 - d. Let t(l) = l**2 + 0*l**c + 5*l**2. Determine t(s(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1, -70, 7, -3 in ascending order.\nAnswer: -70, -33, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)*6)\/(sqrt(250)\/sqrt(5)) + 4.\nAnswer: -12*sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 92, -3 in ascending order.\nAnswer: -3, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21752167 (base 8) in base 7?\nAnswer: 55004223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/7 - 1)*((-11424)\/(-612) + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006328 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1270 + -1246. What is the lowest common multiple of z and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 5, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*q = 5*d - 136*q - 597, 0 = 3*d + 2*q - 381. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 283581447?\nAnswer: 3119395917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 6*k - 2. Let p be (1 - 7\/4)*-8. Let m be p\/(-2) - (-5 - -9). Let c be (-9)\/(((-21)\/(-2))\/m). What is h(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h - 10. Let i be x(-3). Let g(j) = j + 23. Let q(d) = -4*d - 114. Let y(o) = i*g(o) + 3*q(o). Is 18 a factor of y(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*6\/(-20))\/(14872\/330 - 45). Solve -51 = -j*p + 3 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**2 + 3*y + 10. Determine n(3).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 + 31*o**4 + 67 - 29*o**4 - 3*o**3 with respect to o.\nAnswer: 8*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d1 (base 15) to base 5\nAnswer: 11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9 + 3*o**2 - 13*o + 6*o**2 - 3*o**2 + 4*o**3 - 3*o**3. What is the units digit of h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.9 + -21.007. Round n to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u*u**2)*u))**(-1\/87))**1 assuming u is positive.\nAnswer: u**(-1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/(-950))\/(1292\/190)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1266*y**2 + 9*y**3 - 7 + 1266*y**2.\nAnswer: 9*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l. Let c(y) = -67*y**2 - 4*y + 2. Let w(t) = -c(t) + 2*o(t). Let b be w(1). Let m = b + -27. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let m(p) be the first derivative of 528*p**3 + 81. Calculate m(y(w)).\nAnswer: 1584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*3 - (sqrt(143) - (sqrt(143) - (sqrt(143) + -5*sqrt(143)*-1 + sqrt(143)))))\/((sqrt(88)*-2)\/sqrt(8) + sqrt(66)\/sqrt(54)).\nAnswer: 39*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 320873*s**3 + 3*s**2 - 16*s + 50. Let q be c(3). What is q rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10710 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.46296 rounded to three dps?\nAnswer: -7.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-14) + 29\/7. Suppose k*t - 49 = 319. Suppose 84 = 4*z - 4*p, 0 = -4*z + 2*p - 0*p + t. What is the common denominator of 79\/2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319*g + 2341*g + 291 = -171 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 230*b**2 + 209*b**2 + 319*b**2 as i + v*b + m*b**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -47.09599159?\nAnswer: -47.16599159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 3 = -55 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {i: 10, r: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -8, -1, -14, -17 in descending order.\nAnswer: 6, 4, -1, -8, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 601 or -0.4?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfe when three letters picked without replacement from {f: 3, e: 4, x: 6, n: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(5\/3)\/h)**(1\/36))**(-4\/5))**(-16\/5) assuming h is positive.\nAnswer: h**(32\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103? (a) 68\/29 (b) 1\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963740464 to the power of 1\/2, to the nearest integer?\nAnswer: 44314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Let l = 1 + y. Let c(v) = v**3 + 5*v**2 - 5*v + 2. Let i be c(-6). What is the nearest to l in i, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237)\/(-869)*77\/(-189)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -401\/13. Let v = -0.051 - -2.551. Let c = v + -2.51. Sort 0.4, x, c in ascending order.\nAnswer: x, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(3*s - s - 8*s) - 3*s + 4*s + s + 0*s - 2*s + 3*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = o + 3. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/2 - (-2 + -1). Let j = 16 + s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*b - 70, 5*m + 9*b = 10*b - 45. Is 504\/m*-203 - 12\/60 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/5 - -2)\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -o, 2*j + 3*o = 10 - 5. What is the remainder when 8 is divided by (-258)\/(-54) + j\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 169, 345, 521, 697?\n\"Answer: 176*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-211416)\/(-23400) + -9 - 1\/21 and 33\/1625?\nAnswer: 11375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13988097*g**2 - 2*g**3 + 11*g**4 - 4 + 2*g**4 + 3*g - 13988098*g**2 as w*g**3 + u*g**2 + c*g**4 + o + r*g and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:51 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*a - 6*a - 31*a)*(-1 + 0 - 2)*(-7 - 7 + 1) in the form p + z*a and give z.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - a = -4*a + 12, 0 = 4*a + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6171 = 4*c, 4*k - 2*c + 2257 = 10475. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.213297 kilometers?\nAnswer: 6213297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320361 and 9499?\nAnswer: 1320361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2499509.5 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305.3 + -311. Let b = -0.116 + -5.584. Let k = b - t. What is the nearest to 2\/3 in 0.3, 4, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 + u. Let o be m(1). Suppose -5*z - 5*d = 5, -5*z + 1 = d - 6. Let c(q) = 2*q**z - q**2 + 0*q**2 + 2*q - 1. Give c(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:02 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121114 + 4?\nAnswer: -121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -325 + 345.5. Which is smaller: m or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3946874, 3946875, 3946876, 3946877, 3946878?\n\"Answer: n + 3946873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97.85 + -0.85. Let a = 1.02607 - 0.02607. Sort a, -3, 0.4, f in descending order.\nAnswer: f, a, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - s + 476 = 0, -2*s = 3*x - 10*x + 1102. What is the remainder when 546 is divided by x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3\/7 + 7284*f**2\/7 + 12372480*f\/7 - 22544047600\/7 = 0.\nAnswer: -1759, 1790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/105*42*4*14\/7224?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*m = 4*h, 5*h = m - 6. Let r = 18 + -12.4. Let a = r + -0.6. What is the second smallest value in h, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 2}. Give prob of picking 1 o and 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 72 = 3*p + 75, 3*b + 1 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, -13, -4, 86, -51.\nAnswer: -51, -13, -4, -1, 1, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4 and -85\/212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1128\/288*(-59 + 50).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 14.2. Let n = -0.2 + w. Put 2\/9, n, 0 in descending order.\nAnswer: 2\/9, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 822356 and 6?\nAnswer: 2467068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*i + 93 - 82, 3*i = -3*a + 24. Let z(d) = -d - 4. Calculate z(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2593844*b**4 - 754*b**2 + 4*b.\nAnswer: 62252256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -268400 divided by 33550?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133334 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 14*z**2 - 25*z - 15. Give c(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(2951 - 4456 + 4049).\nAnswer: 5088*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -58)*(1 + (-303988)\/(-12)). What is y rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/11, -181 in increasing order.\nAnswer: -181, 2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6661, -5866, -5071, -4276?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 11*w = 166. Let o = -80 - w. Suppose o*h + 74 - 242 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -285. Let l = -1028.4 + 1165. Let r = h + l. Round r to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013*700.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148816 divided by 7558.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -559635 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/15 and 29\/6402?\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1127)\/161*(-30)\/14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 - (-13 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 = 26*m + 47 + 247 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -554 + 722. Let u = 315 - w. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let w(a) = 3*a + 2. Let f(h) = -5*u(h) + w(h). Let s be f(6). What is the closest to 0.1 in s, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6*r - 3. Let u be d(5). Suppose u*j = -3*j + 30. Suppose -2*i + 4*z - 130 = -5*i, 2*z - 2 = 0. What is the highest common factor of i and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerre. Give prob of picking 2 r and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 5*c = 9 - 21 - 29, 0 = -5*w - 4*c + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a98 (base 16) to base 14.\nAnswer: 8648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 173. Calculate p(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + -42161465?\nAnswer: -42161601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/2)\/((-4)\/584)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101426 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -412\/5. Which is the closest to o? (a) 1\/7 (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + x + 9 = 0, -3*f - 2*f = 5*x. Let q(g) = -3*g - 7. Let k(s) = s + 4. Let l(h) = 5*k(h) + 2*q(h). List the prime factors of l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -550 by -2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259498.\nAnswer: 2, 129749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {i: 4, r: 2, c: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w + 40 + 775 - 29*w + 13*w as x*w + k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 35 = f + f, 5 = c. Let g = 8.045 + -3.045. What is the biggest value in g, f, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 23245 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 608 = 960. Solve a*n - 41*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.98 - 7. Let t = 1.69 + -5.71. Let g = f - t. What is the biggest value in g, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -109. What is the remainder when q is divided by (3 + -1 + -6)\/((-2)\/10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 3*o**2\/2 + 151. Let b(w) = -3*w - 9. Give t(b(c)).\nAnswer: -9*c - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Let c = 9 + u. Suppose 4*b + c*d - 76 = d, 0 = 5*b - 4*d - 104. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, 2, 1 in increasing order.\nAnswer: 1, 2, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 + 3*l**2 + 3*l + 1. Suppose -3*g - f = 20 - 87, -3*f = -2*g + 63. Let r be (-60)\/g - 4\/(-8). Calculate d(r).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + 0.00999916. Round c to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/43))**23)**(-26) assuming j is positive.\nAnswer: j**(-1794\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 478\/8 - 4\/(-16). Suppose -i = -7*i + n. Suppose i*z - 2 = 9*z. Solve t + t - z = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16187 - 200991 = 2060*o - 27658 for o.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*((0 + 0 + 1)*(4*l + l - 2*l) + 2*l - l - 3*l + (-2 + 2 - 2)*(-5*l + 3*l + 4*l))*(2 + 3 + 0).\nAnswer: 45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r + 27 - 43 + 16 as h*r + j and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 - 0.03. Sort i, -5, 0.5.\nAnswer: -5, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555892075 to the power of 1\/3, to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16804335, 33608671, 50413007?\nAnswer: 67217343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -230, -304, -500, -878, -1498?\n\"Answer: -10*q**3 - q**2 - q - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2)*p*p))**(-3\/34)*(p**(-3\/7))**(-1\/31) assuming p is positive.\nAnswer: p**(-549\/7378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -43*f**2 + 10*f - 637. Let l(s) = -68*s**2 + 15*s - 955. Let c(t) = 8*g(t) - 5*l(t). What is the derivative of c(w) wrt w?\nAnswer: -8*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-236)\/(-13))\/((-7688)\/(-24986)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhahdno. What is prob of picking 1 d and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1864, -7258, -16248, -28834, -45016, -64794?\nAnswer: -88168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -345 - -2846?\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -4 (c) -3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + 0 - sqrt(26)\/(sqrt(18)*1))**2.\nAnswer: 15925\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 576 = j + 10, -546 = -j - k. Suppose -q - 4*q = -j. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1856.412 + -1856.4. Which is the second biggest value? (a) 0 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, 1\/6, 3, -3, -4\/3, -8\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibj when three letters picked without replacement from fjbfjififiiffijf.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(2) + 4).\nAnswer: -30 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/60 + k**4\/4 + k**3\/3 - 25*k**2. Let d be l(7). Put -8, 3, d in decreasing order.\nAnswer: 3, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3805, -4\/7, -4, 1, 0.3.\nAnswer: -4, -4\/7, 0.3, 0.3805, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k*(k**0\/k)\/k)**(10\/7) assuming k is positive.\nAnswer: k**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 27 = 0. Suppose -2*p - 2*k + 10 = 0, 0*p + 4*p - k - 20 = 0. Suppose 0 = -p*o + 31 + 4. What is the least common multiple of o and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*((-26)\/(-91))\/((-24)\/42).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(2 + g - 2)*(0*g**2 + 0*g**2 - g**3).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -31263014?\nAnswer: -31263014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7751455ml?\nAnswer: 0.0007751455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -61*l**3 - 7*l**2 - 5*l + 7. Let p be g(-7). Suppose -21*f + p = -14*f. Let c = f + -2081. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 4. Let u be w(-3). Let l(j) = j**2 + 2*j + 2. What are the prime factors of l(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/7, -8, -27.8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -632.3 - -632. Put 0.052, 3, t in decreasing order.\nAnswer: 3, 0.052, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 504 = -4*a, 3*a = -5*i + 654. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 6*u**2 - 7*u. Let z be x(7). Let q be 1 + 0 - (z - 4). Solve q*s = 25, 2*b + 6*s + 11 = 7*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353 (base 10) to base 4\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o + 4*o**2 + 1\/120*o**6 - 5\/6*o**3 - 1\/8*o**4 + 1\/15*o**5 + 0. List the prime factors of i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487.34 - 491. What is w rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/42 - 12\/7. Let h = 0.035 - 0.065. Which is the closest to 0.1? (a) h (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.51 - -45.11. Put -1, j, 6, 1\/4, -0.4 in descending order.\nAnswer: 6, 1\/4, -0.4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -39. What is the least common multiple of g and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 9}. Give prob of sequence iiiq.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -971*f**3 + 4*f - 10132.\nAnswer: -2913*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-1085)\/2604).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 + 16*j + 14. Let l be w(10). Let d(y) = y**3 + 30*y**2 + 38*y + 11. Is d(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456 - 455. Sort 3\/5, s, 5 in decreasing order.\nAnswer: 5, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -8.2\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722920519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1787)\/7101 + 46956\/181116?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let l = k - -6. Suppose -2*v + 5*m + 33 - 5 = 0, 0 = l*v + 5*m - 42. Calculate the lowest common multiple of v and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2568 = -113*p - 233*p + 25*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:14 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -844*n + 492858. Determine j(584).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -174072 (b) -3 (c) -2\/5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = 62. Let b(k) = -k**2 + 22*k - 61. Let q be b(17). Let o = q + r. Solve -9 = -j - m, 5*j = 3*m + o + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {n: 8, t: 8, b: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 25 = 5*n + 3*f, f + 3 = 0. Let p be 11\/(-22)*(-270)\/3. Let z = p - n. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313487 is divided by 622.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1 (c) -0.4 (d) 20.08378 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2 + 5 + -1*(sqrt(76) + sqrt(76) + -1 - sqrt(76)))**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290*q**3*v**4 + 38*q**3 - 2*q**2*v - 2*v wrt v?\nAnswer: -3480*q**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*n**2 - 34\/5 - 36\/5*n.\nAnswer: -2*(n + 1)*(n + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -p - 446, 458 = 10*y - 8*y + 5*p. Calculate the greatest common divisor of y and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37857144 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-234)\/(-52))\/((-18)\/51))\/((-111)\/(-148)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -m + 4*i, 3*i + i + 38 = -3*m. Let k = m + 12. Let c be (-12)\/(-6) + k\/(-1). Sort 3, c, -1 in increasing order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 241*a + 71*a - 2098052 - 958612. What are the prime factors of a?\nAnswer: 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**4 + 0*l**5 + 0 + 0*l**2 + 14*l + 2*l**3 - 1\/3*l**6. Find the second derivative of u(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024 is divided by 848?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52724.61 millilitres in litres?\nAnswer: 52.72461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtm when four letters picked without replacement from {m: 2, t: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6106913 is divided by 1341?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 10 = 0. Let c(b) = 2*b - 6. Let f be c(9). Suppose -4*y + n = -f, x*n - 5*n - 14 = -y. Let j(s) = s**3 - 5*s**2 + 3*s. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59696 is divided by 5420?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.94631 litres in millilitres?\nAnswer: 74946.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -13*u**6\/6 + 4*u**5\/5 - 16*u**3 - 26. Find the third derivative of l(p) wrt p.\nAnswer: -780*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1290059 - -0.129. What is m rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6108 - -8664. Calculate the least common multiple of 8 and u.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/6 - r**3\/6 - r**2 - r. Let c(i) = 1 + 10 - 3*i**2 - 11 + 4 + 2*i. What is -4*c(p) - 7*z(p)?\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(120\/18))\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*j + 252*j + 123*j - 96*j)*(-1 - 1 + 4).\nAnswer: 774*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 20*b**2 + 14*b. Calculate the least common multiple of a(9) and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -528 + 548. Solve -11*l - t = -97 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(684)*-1.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -3889?\nAnswer: 738.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107425, 107431, 107441, 107455, 107473, 107495?\n\"Answer: 2*c**2 + 107423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(13\/7 + -2). Suppose -1 = -u, 4*s - 2*u + g + 1042 = 0. Calculate the common denominator of -79\/4 and (-76)\/s - 6\/(-45).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.99065 - 78. Round n to four decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/33 and -73\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + 1. Let p be 4 - 23\/(1 - s). Let k = p + -26. Sort -2, k, 2 in increasing order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584)*2*6 - sqrt(3584) - sqrt(3584)*1*3)\/(4*(sqrt(8) + (sqrt(392) - sqrt(8))) - (sqrt(968) - sqrt(968)*-1)).\nAnswer: 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 31 - 28 = -101. Suppose 3*f = 25 + 47. What is the remainder when f is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/60*-5)\/((-21344)\/(-435) - 49).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 6*s + 110. Suppose -s = -3*l - 5*t + 22, 2*l - 22 = -3*t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and ((-5)\/4)\/((45\/468)\/(-5))?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13445388, 26890977, 40336576, 53782191, 67227828?\nAnswer: 80673493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-215 - 129 - 186 + 9 + 119)*(0*p**3 + 3*p**3 - 2*p**3) to i*p**3 + x*p**2 + u + s*p and give i.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, -48\/7, 3\/7, 3\/4, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a**3 - 19*a**2 - 5*a - 16. Let w(m) = 7*m**3 - 13*m**2 - 3*m - 11. Let z(c) = 5*r(c) - 7*w(c). What is z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(1 - 3) - -32. Let n be (1\/3)\/((-2)\/g). Sort 0, -4, n.\nAnswer: n, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2, 2\/3, 144\/29, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 465816109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**2 - 158875*z - 158870 = 0?\nAnswer: -31774, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*a - 2994*a + 591*a + 9 + 600*a + 597*a + 599*a.\nAnswer: -a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 17*w**2 - 16*w + 7. Let v be l(16). Sort 2, -4, v in decreasing order.\nAnswer: v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -q + 5*h, 2*q = -2*q + 5*h. Let w(s) = 74 + 77 - 148. Let g(n) = n - 4. What is q*g(u) + 6*w(u)?\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/11 + -7\/22. Let k(q) = q**3 - 7*q**2 + 10. Let p be k(7). Suppose -o = o - p. Sort o, d, 0.4 in descending order.\nAnswer: o, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3939.\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 + 1 - 1 + (0*q**2 + 3*q**2 + 0*q**2)*(2*q**3 - q**3 + 0*q**3).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -2)*1530\/984555*18\/8.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6961542 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 38663.68 microseconds?\nAnswer: 38663680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 17, 40, 83, 152, 253, 392, 575?\n\"Answer: d**3 + d**2 - d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.448 times 0.1?\nAnswer: 0.1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from {l: 2, m: 6, q: 3, x: 3, p: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -112.4. Let n = -14 - w. Suppose 0 = 3*b + 2*a - 0*a - 1, -2*b - 4*a + 6 = 0. Put n, b, 2\/3 in ascending order.\nAnswer: b, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 10) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -14*z**2 + 18*z + 7. Let i(l) = -7*l**2 + 9*l + 4. Let f(n) = -9*i(n) + 4*y(n). What is the hundreds digit of f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**4 + 0*m**5 + 3\/2*m**6 + 0*m**2 + 0*m + 10 + 3*m**3. What is the third derivative of q(l) wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 207579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*(i\/(i**(-2\/3)*i))\/i)**(3\/8)\/((i**(-1\/3))**(-1\/3)\/(i*i**(-7)*i**(1\/10))) assuming i is positive.\nAnswer: i**(-3829\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000743 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23861 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 631256617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28173924 divided by -6.\nAnswer: -4695654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*v - 5*u, 4*v + 2*u + 1 = 5. Find the first derivative of -12 - 2860*b**3 + 42 + 2862*b**v - b wrt b.\nAnswer: 6*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136\/5141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let k = 7.05 - 7. Let m = k + -3.05. What is the nearest to 0.1 in m, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkdmummkbmumb. Give prob of picking 1 m and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-1 - 0)\/4. Solve 0*k**2 + s*k**4 + 3\/2*k**5 + 0 - 3*k**3 + 3\/2*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -388, -1328, -3114, -6028?\n\"Answer: -47*c**3 - 47*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2376861057 to the nearest integer?\nAnswer: 48753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 3 (c) -9\/391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 5*m. Let c(i) = 2*i**2 + 3*i. Let w(q) = -5*c(q) + 3*p(q). Let g(r) = -31*r. Give w(g(u)).\nAnswer: -961*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142\/237 + -16\/237. Which is bigger: 1.41 or i?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/20 - (-30)\/(-24). Suppose 5*x + d + 96 = 330, m = x - 4*d - 30. Calculate the remainder when 366 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361419981?\nAnswer: 3, 13, 9267179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9091 + -7344. Does 67 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-36)*p*p)\/p**(-10)*(p\/(p\/(p*p**(-1\/2)))*p)**(-50) assuming p is positive.\nAnswer: p**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (42\/3)\/2. Suppose -91 + 11 = o*z. Calculate the remainder when (-113)\/(-4) + (-15)\/z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-231 - (-105 + -143))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 1. Let a be (-12)\/8*-2 + -12 + 11. Give g(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3328 and 6552676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 18*w**3 + 3*w**2 - 18*w.\nAnswer: -3*w*(w - 6)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.860725 minutes in microseconds?\nAnswer: 531643500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:40 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/15, -1, 636\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 5*m - m)*(m**2 - 3*m**2 + 0*m**2) + (-2*m**2 + 2*m**2 - 3*m**2)*(-m - 3*m + 8*m).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -217 + 216.99999477. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = -3*o - o, 0 = 5*u - 3*o - 30. Suppose 61 = u*a - 95. What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 3. Let s = -3 - -3. Suppose -r = 1, -a + s*a + 8 = -5*r. Suppose a = -2*m - 5. Let n(j) = -2*j + 7. Determine m*n(z) - 9*k(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*z - 19, -3*w = -4*z + z - 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 27\/(-6))*(-243 - -71).\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.88 + 61.88. Are 20 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21824 + -125187583?\nAnswer: -125209407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p = -t + 68, -p = 5*t - 332. Let i = 71 - t. Suppose -3*h + i*w + 423 = 2*w, 4*w + 278 = 2*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m**(-1\/8)*m))\/(m*m**(-2\/3))**(-4\/21)*m**3*(m**6\/m*m)\/m*(m*m*m\/(m*m**(3\/2))*m)\/m**3 assuming m is positive.\nAnswer: m**(-661\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44027981 is divided by 308.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let a(f) = -3*f - 12. Let y be a(-4). Let c(k) be the third derivative of 1\/30*k**5 + 0 + 0*k**4 + 0*k + y*k**3 + 2*k**2. Determine c(j(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18*j - 2. Suppose -2 = i + i. Let f be x(i). Suppose m + 4*u = 132, u + 129 = m + 2*u. What is the highest common divisor of f and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/27)\/1 + 1144\/99 + -10. Solve -y = 4*l + 1 - 12, -g*l = -3*y - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhehhehcvhchcej. Give prob of picking 1 e and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/144 and -32\/3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -0.356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (13 - (-16 + 45))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*r + 121 - 4*r + r**2 - 8*r - 10*r to the form j*r + h*r**2 + i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -90194 times -2\nAnswer: 180388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3))**(10\/9)\/((b*b\/((b\/b**(-6\/13))\/b))\/(b\/b**(-13))) assuming b is positive.\nAnswer: b**(1198\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 515025.305.\nAnswer: -515020.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 26. Let y = -10 + b. What is the greatest common factor of y and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.5321 days to weeks.\nAnswer: 11.7903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 + 6*i - 4. Suppose 4*t + 0 = 3*d - 4, 3*d - 14 = -t. Let j be z(d). Is 514\/14 + (-8)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -6\/1969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2102003 (base 4) to base 16\nAnswer: -2483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753478 is divided by 910.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47463001 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -125 + 125 + 8*k + k. Let v(y) = -y**2. Give v(q(t)).\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 222*h**2 + 5198*h - 40. Determine o(-20).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26279 - 26279. Solve -3*v + 39*v = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w + 35*w + 24*w to p + d*w and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8434 is divided by 128.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-5\/2))\/b**(-2))\/(b**(-1\/4))**(10\/3) assuming b is positive.\nAnswer: b**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(-33*(-5)\/(-270)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Let i = -3 - -12. Solve f*t - 3*c + 1 = 0, 4*c - 5 = -t + i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101200202 (base 3) in base 5?\nAnswer: 222141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*w - 2 + 11, -4*w - 5*r = 3. Let f be -1 - (-2 + w + 7). Which is the second smallest value? (a) -2\/11 (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5681 is divided by 201.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/49)*i*i**(5\/11)*(((i**(-1\/33)*i)\/i)\/i)\/i**(-8))**(-36) assuming i is positive.\nAnswer: i**(-162672\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 580297.1 kilograms?\nAnswer: 580297100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-45)\/(-72)*(-17)\/((-170)\/144)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 92 - 27 = 18*y. Solve -y*l - 36 = -11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 + 4*r + 5. Let h be t(4). Let l = -4 - -6. Suppose -b = -l*b + 15. Calculate the highest common divisor of b and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.3, -34, 1, -91 in increasing order.\nAnswer: -91, -34, -0.3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804333 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7116*d**2 - 6689*d.\nAnswer: 14232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1295286.55 to the nearest one thousand.\nAnswer: -1295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11 + 4 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**12)\/m))**(-22) assuming m is positive.\nAnswer: m**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41719, -166887, -375501, -667561, -1043067, -1502019?\n\"Answer: -41723*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + (90 + -119)*(-2 + (-10)\/(-4))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046350 - 57.11678?\nAnswer: 1046292.88322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1237861*a**4 - 7201855 with respect to a.\nAnswer: 4951444*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.8 + 65. Let p = k + -4.6. Let b = p - 1.6. What is the second smallest value in b, 0.5, 4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 + z**2\/2 - z - 3. Let l = -430 - -441. Calculate the remainder when r(4) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.923 - 19.672. Which is the nearest to -0.2? (a) -5 (b) -1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 61670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:34 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 152642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15119511644.500085 - -15119471294. Let y = -40349 - x. Let u = 1.5 - y. What is u rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 9. Let v(u) = 2*u**2 - 12. Let k(z) = -4*t(z) + 3*v(z). Let o(p) = -5*p**2 + 83*p. Calculate o(k(i)).\nAnswer: -20*i**4 - 166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpd when three letters picked without replacement from bpbpd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.8, 2, 30, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - m - 3, 25 = 2*z + 5*m. Suppose z = 23*g - 143752 + 14055. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j**3 + 9. Let i(z) = -6*z**3 - 3. Give 3*c(q) + 8*i(q).\nAnswer: 6*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7 - 1. Let h(w) = -w + 52. Let a be h(16). Suppose a*j + 44 = 47*j. Solve -m*d = 2*d + 4*r, j*r - 28 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570427300.\nAnswer: 2, 5, 5704273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 48*b**2 - 80*b.\nAnswer: -4*b*(b - 10)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = u, 5*a + 7 = 3*u - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:15 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-8))\/(63\/(-504)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 8*j**2 + 6*j - 10. Let z be 79\/(-11) + 12\/66. Let q be i(z). Sort 7, -2, q in increasing order.\nAnswer: q, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26971\/364 - (-4)\/(-16) - 12\/(-78). What is the greatest common factor of o and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 6*o**2 - 23*o**2 - 6*o**2. Let a(g) = -7*g**2 - g. Let s(m) = 7*a(m) - 2*l(m). Let x(v) = -v**2 - v. What is s(u) - 5*x(u)?\nAnswer: 2*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.075 + 6.325. Let r = d - 6.4. What is the second smallest value in 9, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - -9. Let w = l - 54. Let c(q) = 3*q**3 - 1 + 2*q**3 + 0. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25\/56 - 4\/7. Let n = -2.0714 + -0.0846. Let j = -0.156 - n. Which is the nearest to -1? (a) k (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*b + 1 + (-5 + 4 - 1)*(-b + 1 - 1) + 6 - 61*b - 8 + 75*b - 1.\nAnswer: 18*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 32*q**2 + 8*q + 46. Determine x(-4).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -904*z**3 + 804*z**2 + 176*z - 36. Let s(c) = 129*c**3 - 115*c**2 - 25*c + 5. Let j(b) = -3*i(b) - 20*s(b). Factor j(n).\nAnswer: 4*(n - 1)*(3*n + 1)*(11*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 13*q - 6. Suppose -5*s + 2*s = -87. What is the remainder when s is divided by z(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294810 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:57 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2190, -5, -425.\nAnswer: -2190, -425, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 1\/10*w**5 + 0*w + 1\/12*w**4 + 1\/60*w**6 - 37*w**2 + w**3 + 0. Let t be y(-3). Solve -3*a + 0 + 3 = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/8 + 1\/4. Suppose j = 5*l - 27, 4*l - 2 = 3*j + 24. Sort z, j, 3 in ascending order.\nAnswer: j, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 155 in 0.2, -1\/5, -1, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 19 in ascending order.\nAnswer: -13, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(-282)*1*(-20)\/85\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*t - 5*t**2 - 22*t)*(-2*t - 3*t + 3*t) - 3 - 2*t**3 + 3 - 110*t**2 + 110*t**2 - 10*t**3 to the form f*t + m*t**3 + k + v*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 71. Calculate the smallest common multiple of 6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 5, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -1)\/(119\/(-14) + 9). Calculate the remainder when ((-11088)\/(-135) - z\/(-30))\/2 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 13. What is h(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i. Calculate the lowest common multiple of s(6) and 11\/(-154)*-91 + (-9)\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132a08 (base 11) to base 2.\nAnswer: 1110010100000000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 6, l: 10}. Give prob of sequence ll.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139\/2, -2, -2\/559, -0.2 in ascending order.\nAnswer: -2, -0.2, -2\/559, 139\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 11:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -42 + 34 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -0.5, 1\/2, 1.\nAnswer: -160, -0.5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from gyuml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3913 and 14092.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*x + 217*x - 912*x - 643*x + 161*x.\nAnswer: -1982*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 343, 426, 629, 1012, 1635?\n\"Answer: 10*z**3 + 13*z + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8211 and -151\/5118918.\nAnswer: 2001496938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/9 and 23\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2685 and 8395.\nAnswer: 4508115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*c - 43. What is the common denominator of 30\/7 and 2 + -1 - ((-476)\/(-192) - c)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:53 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339473639.\nAnswer: 3, 7, 17, 139, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -39. Suppose 5*g = -3*m - t - 8, 0 = 5*g + 25. Sort m, 2, 4.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1571, -1585, -1565, -1505, -1399?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 418715?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**(-1)\/x)\/x)\/((x\/(x*x**25))\/x))\/(x*x\/(x\/((x*x*x\/(x\/x**(-1)*x))\/x)))**30)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 - 185. Calculate the lowest common multiple of 68 and 1596\/161 + (-2)\/f.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let y be 4\/6 - ((-66)\/9 + 0). Let n(k) = 2 - 18 + 16 - y*k**2. Determine g(n(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2024 - 5.2024. Let c = -25 + 21. Sort 5, x, c, -2.\nAnswer: x, c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19757804.\nAnswer: 2, 11, 191, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/18*2)\/(30238\/390 - 78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -4. Suppose 4*i - 29 = -2*p - 9, p = 3*i - 10. Solve 3*a = i - t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 75\/25 + -4 + 0. Let k = -6 + 31\/5. Which is the closest to t? (a) 0.4 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/10 (b) -37 (c) 2\/17 (d) -2\/19 (e) 5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 30\/23 (b) 2\/3 (c) 0.04 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174595834*n*s**3 + 69256291*s**3 + s with respect to n.\nAnswer: 174595834*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5708, 22953, 51702, 91961, 143736?\nAnswer: 207033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*g**3 + 460*g**3 + 453*g**3 - 676*g.\nAnswer: g**3 - 676*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 10 = -9*q. Suppose 32 = 4*y + 4*j, -q*j + 2 = 4*y - 4*j. Solve -1\/4*l**4 + 0 + 1\/4*l**2 + 1\/4*l**y - 1\/4*l = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010000001001110 (base 2) in base 8?\nAnswer: 1020116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 6*k + 9. What is the third smallest value in k, 0, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w**2 + 7*w. Let s(g) = -10*g**2 - 3*g. Let z(f) = -7*s(f) - 3*y(f). Let n(j) = -j. Determine n(z(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:00 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17436 - -17432. Sort 5, -5, n, 6, 11 in decreasing order.\nAnswer: 11, 6, 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Suppose c = -3*h + 18, -3*c = -2*h - 3289 + 3301. Put -3, 13, k, c in descending order.\nAnswer: 13, c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = -12*i - i. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1777005 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y**2 + 48*y**2 + 28*y**2 + 6*y**2 to d + a*y + u*y**2 and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17069557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 315342.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111058 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 9. Let s be v(-8). Let f(y) = -7*y**3 - 2*y**2 + y. Let x be f(s). List the prime factors of 0\/1 - (x + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 4, 2, -3522 in ascending order.\nAnswer: -3522, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least 216\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2015*l**3 + l**2 + 26*l**2 - 2*l**2 + 2018*l**3 as j*l**2 + p + x*l + v*l**3 and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*m + 77 + 175 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -830, -833, -838, -845, -854?\n\"Answer: -l**2 - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 94, 3, 33?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26066061 and 2415?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000052753688 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3429607 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -14. Let q(s) = s**2 - 2*s - 5. Let t be q(4). Factor 1 + 7*d**4 + 0*d**w - 3*d**3 + 3*d - 5*d**2 - t*d**4.\nAnswer: (d - 1)**2*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(9\/4)\/(57\/38). Calculate the least common multiple of s\/6 + (2 - 105\/(-6)) and (-2)\/(-4)*4 - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2254141*m**2 + 108 - 2253864*m**2 - 108.\nAnswer: 277*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**6\/54 + 8*b**5\/45 - b**4\/4 - 22*b**3\/27 + 10*b**2\/9 + 8*b\/3 + 3852. Suppose z(c) = 0. What is c?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1105 * 0.142265\nAnswer: -0.0157202825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 11*t = 19*t - 3996. Solve -t*p - 13 = -98*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.563579048 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -27, -45?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (52 + -18) - (1 + 5 + -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(6*n - 2*n - 2*n) - 3*n**2 + 3*n**2 + n**2 + (-n + 4*n + n)*(4*n + 3*n - 3*n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19856101 to the power of 1\/2, to the nearest integer?\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:26 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 16) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y - 6. Let a be k(-3). Let o be (108\/14)\/3 + a\/49. What is the tens digit of 94\/1 - (o + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1428687*h**2 - 2442456 wrt h.\nAnswer: -2857374*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*c**6 + 2209*c**5*u**2 + 43*c**2*u**2 - 2*c**2*u - 2*c - 97*u**2 wrt c?\nAnswer: -3480*c**3 + 132540*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5551697?\nAnswer: 31, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -41, -38, -2, 14 in increasing order.\nAnswer: -41, -38, -3, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nycccycecec. What is prob of picking 1 c and 2 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -9 (b) 9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-13384)\/(-1339) + -7). Let y = 21665\/245037 + a. Calculate the common denominator of y and -47\/12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 - 6*k - 2. Let a be p(-6). Calculate the remainder when 53 + 6 + 3 + a is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t - 19 - 10*t - 16*t as d + a*t and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*t**4 - 26 - 812*t**3 + 811*t**3 - 27 to c + y*t + b*t**3 + r*t**2 + g*t**4 and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -10 + 31. Let l be -1*(7 - r) - -4. Solve -g + 4 = -l*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3733155 rounded to three decimal places?\nAnswer: -0.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 18 - 0. Let o be (51\/(-17))\/(c\/74). Calculate the greatest common divisor of o and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 4*k - 40. Let l(s) = s**2 - 3*s - 2. Let m be l(3). Let f = m - k. What is the greatest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 239 - 746. Let a(z) = 9*z - 1. Let f be a(-29). Let p = -222 - f. Calculate the remainder when g is divided by p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129 + 64087*a - 64093*a - 8*a**5 + 23*a**2 - 16*a**2 wrt a?\nAnswer: -160*a**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 1 = -u. Let a(g) = g**2 + 2. Let p = 3 + -1. Let d(m) = -3 - 4 + 7 - 1. Give p*d(o) + u*a(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57088 divided by 3\nAnswer: -57088\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92785387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/40*(-22)\/33 - (-10)\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141419699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*h = 3005 - 5857 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -22 in decreasing order.\nAnswer: 4, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -19. Let t(b) = -2*b - 18. Let h be t(g). What is the third derivative of 7*y**3 + h*y**3 - 7*y**2 - 19*y**3 - 13*y**4 wrt y?\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111.5*0.2\nAnswer: 22.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 - 20445\/(-25) - (-30)\/25 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (1 + (12 - 8) + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 6:20 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*r + 336*r - 1263*r + 226502 = 0 for r.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -1532, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q. Let k(l) be the first derivative of -l**2\/2 - 16*l + 13010. Calculate k(x(w)).\nAnswer: 8*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4*12\/18. Let c = 0 - f. Let h be (12\/(-15))\/(c\/5). Let y(a) = -2*a + 6. What is y(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkw when three letters picked without replacement from {j: 1, w: 7, l: 7, v: 1, k: 1}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11046, 10944, 10842, 10740, 10638, 10536?\nAnswer: 10434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*p**2 - 24*p**2 + 3*p**4)*(-7 + 2 + 4)*(1 - 1 + 2*p).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 1. Let k(o) = o**3 + o**2 - 2*o. Let v be k(2). Suppose 4*r - 2*f = -v, -f - 2*f = -r - 2. Let n be (-3 - 0)\/6*r. Determine c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19720.99 centuries in years?\nAnswer: 1972099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 853.6999nm?\nAnswer: 0.0000000008536999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 - 3*x**5 + 0*x**5 + (2*x**2 - 4*x**2 + x**2)*(3*x**3 + 0*x**3 - 2*x**3) - 2*x**5 + 0*x**5 + 0*x**5 - 2*x**2 + 3*x**2 + 4*x**2 + 9*x**5.\nAnswer: 5*x**5 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 9. Let o be q(9). Do o and 19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*l - 92*l - 648 = 80*l. Let w(s) = s + 8. Let t be w(0). Suppose 4*u + l = t*u. Solve 6 = -3*o - u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 - 8*c**2 + 379*c - c**2 - 9*c**2 - 8*c**2.\nAnswer: -10*c**2 + 379*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -23 - ((-1)\/(-4))\/((-6)\/(-48)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let p(x) = -2131*x**2 + 2*x - 530. Calculate p(g(a)).\nAnswer: -2131*a**4 + 2*a**2 - 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/35)\/(6\/(-10)). Solve 2*w - 13 = -5*z, -j*z + 15 = 5*w - 2*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -225255 less than or equal to -225254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 599, 903, 1209, 1517, 1827?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/14? (a) 1\/3 (b) 0.15 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 87*z + 231 = 79*z, z = -2*s + 3*z + 66 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076362508 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22096 rounded to the nearest 100?\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2321, 2329, 2337?\nAnswer: 2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1670, 1596, 1470, 1292, 1062, 780?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffrfrr. What is prob of sequence frf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 11:45 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1180684 and 85\/12?\nAnswer: 3542052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13065715 divided by -1\nAnswer: 13065715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/26 - (-7 - (11 + -12))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135.1 + 135.2381. Let n = 0.0103 - r. What is n rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16\/3 + 170\/33. Which is the smallest value? (a) -1 (b) m (c) 0.04 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) - sqrt(1225)*2)*3 - 4*1*sqrt(1225))\/((sqrt(2880) + sqrt(2880)*2 + sqrt(2880) - sqrt(2880))\/(-2*sqrt(8)\/sqrt(2)))*6.\nAnswer: 49*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10613 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7061 and -49322293?\nAnswer: 49329354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 14\/3, -1\/26, 11, -61, 3\/8?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by (1 - -65 - 2) + (39 - 31).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*c**5 + 308 - 308 + (2*c**4 + 4*c**3 - 4*c**3)*(19 - 19 + c).\nAnswer: 156*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027412 rounded to six dps?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8, -2*o + o + 7 = 2*f. Suppose 0*j - o*j + 12 = 0. Which is the second biggest value? (a) -3 (b) -2\/67 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -12, 1, -75, -0.3, 16\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 8:18 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60034 + 10926269\/182. Calculate the common denominator of 1\/65 and s.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7724*d**4 - 11*d**3 - 458185*d?\nAnswer: -92688*d**2 - 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-3330))\/(((-560)\/(-1400))\/((-2)\/2))\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.5, 3, -1\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1442245 - -5?\nAnswer: -1442240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 5*w**2 + 16*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220198.3 hours to nanoseconds.\nAnswer: 792713880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 163. Let o = -2.92 - -1.92. Let p be 18\/14*5\/15. What is the nearest to g in 6\/11, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 12. Let k be 2\/((-8)\/3)*(4 - 8). Suppose -k*p + 7 = -5. Let q(l) = 0 + 7 - p - 2. Give g(r) - 12*q(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 - 3*w. Let p(n) = 2*n + 18. Let j be p(-2). Let x(b) = 3*b**3 - 7*b**2 - 7*b. What is j*z(g) - 6*x(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 + 538*g**2 + 354*g - 236. What is m(-89)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -5*l, -1 + 13 = 4*l + 2*j. Let z be -3 + l - 3*-1. Solve 20 = -z*i, 0*s - 5*i - 22 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/141 + 260\/1551. Let s be (88\/(-48) + (-3)\/(-2))\/1. Which is the biggest value? (a) s (b) 2 (c) i (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-25)*20*4\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7046797 and 139664.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 322?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)\/u)\/u*u**8*((u*u**1\/u*u*u*u)\/u)**23)\/((u**(2\/9))**15\/((u\/(u**(4\/3)\/u))\/(u\/((u\/u**4)\/u)))) assuming u is positive.\nAnswer: u**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (2 - -35) + 1. Suppose 4*w - 3*x - d = 0, -3*w + 0*x - 4*x = -12. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7634583.\nAnswer: 3, 11, 67, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 4*z + 10, 644 + 680 - 1294 = 5*f + 5*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*h + 47, 5*w + h = -4 + 143. Calculate the least common multiple of 30 and w.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3\/17, -0.5, -1\/3443?\nAnswer: -1\/3443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31084593 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 2. Suppose 5*x = -4*z + z - 17, 2*z = -x - 9. Let w be l(z). Determine f so that 2\/3*f**5 + 0 + 0*f - 4\/3*f**w - 8\/3*f**4 + 10\/3*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -5c29d9?\nAnswer: 5c29d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 1 + 1)*(-79 + 79 + 4*l).\nAnswer: -8*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4533, -17957, -40337, -71679, -111989?\n\"Answer: -u**3 - 4472*u**2 - u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**4 - 2*a + 2*a**3 + 7*a**4 + 2 + a + 1 - a**2 to the form u*a + s + x*a**4 + k*a**2 + t*a**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1. Let c(a) = 2*a + 3. Let s(x) = c(x) - 3*o(x). Let n(y) be the first derivative of -y**2\/2 + 3. Determine s(n(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 141 = -10152. Calculate the remainder when 254 is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6475 - 5417?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -430*o**3 + 31*o**2?\nAnswer: -2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-101 - ((-22 - 0) + 31 - 11))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1126.441 - 1112.1. Let j = u + -0.561. Round j to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 1 = -4*o + 4*k, 5*o = -5*k. What is the smallest common multiple of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2. Let s(k) = -8*k**2 - 15*k. What is s(x(o))?\nAnswer: -2048*o**4 - 240*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, -5, 5, 3 in increasing order.\nAnswer: -24, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 16, 35, 47 in increasing order.\nAnswer: -4, -1, 16, 35, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - ((-98)\/50 + 1). Let u = -325810 - -16289277\/50. Let a = u + r. Calculate the common denominator of 109\/18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2. Let z be d(-4). Let s(f) = -7*f + 14. Let y be s(z). Suppose 34 = 3*i - y. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3718.697 + -3714.2. What is x rounded to one decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 + -5.56. Let u = 5 + f. What is the second biggest value in u, -4, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + 42\/(-56)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from eccccccccececcc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.207 + 0.22\nAnswer: 0.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 3*z + (1 - 2 + 0)*(3*z - 4*z + 2*z) - z - z + 4*z)*(-z + 5*z + 2*z)*(-3*z + 4*z - 3*z + (2 - 3 - 1)*(-2*z - 3*z + 3*z) - 7*z + 3*z + 3*z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 232408 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccoonkrlnlcl. What is prob of picking 1 n and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minus 2693754?\nAnswer: -2693665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -36444 < -36448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20324 - 20326. Let t = 1 + 0. Let j = 0.5 + -0.3. Which is the nearest to z? (a) 5\/4 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 53 = -51 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(2 + sqrt(99)))**2 - (sqrt(11)*-1 + -5 + sqrt(33)\/(-2*sqrt(3))).\nAnswer: 867*sqrt(11)\/2 + 3714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 105 = -5*u, u = 4*t - 81 - 4. Let v = 13 - 7. Suppose -3*s - 6 = 0, 2*p + 4*s = v + 2. What is the greatest common divisor of t and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3445 + 3531 - (44 - -2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 11 (b) 5 (c) 8\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.972064 centuries to months.\nAnswer: 11966.4768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -6.328.\nAnswer: -25.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (3 - -2075) + -4 + (2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464202361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 1 - 8*z**2 - 10*z**4 + 0 wrt z.\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.61 + 2.74. Let y = d + 19. Round y to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19671594*s**2 + 34937583*s wrt s.\nAnswer: -39343188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1217377 or 1217382?\nAnswer: 1217382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604039, 1208055, 1812071?\nAnswer: 2416087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 y, and 1 a when four letters picked without replacement from {h: 4, a: 5, y: 10}.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 44, 139, 300, 539, 868, 1299?\nAnswer: 1844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 25, 64, 119, 190, 277, 380?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 726*r - 263538.\nAnswer: -(r - 726)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13946319 divided by 108111?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 58. Calculate t(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - t**2)*(-26*t**2 + 4*t**2 - 4*t**2) + 14*t**4 + 8*t**4 + 3*t**4 in the form j + f*t**4 + v*t + k*t**2 + b*t**3 and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(15\/7) assuming s is positive.\nAnswer: s**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 28 - 6*d + 2*d - 2*d + 3*d. Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a - 3*a + 24. Is 5 a factor of (a - (-5 + 5))*2 - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(104)*-2)\/sqrt(8) - (1 + sqrt(468)))**2.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1294072, 2588141, 3882210?\n\"Answer: 1294069*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/12*(-6 + 9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 2 (c) -2 (d) -1\/6 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siii when four letters picked without replacement from {i: 3, s: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 0.097, -5, 0.4, 10?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1680 + 934. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/9)*n*n**(-3\/2)*n**(-1\/9)*n**(3\/7) assuming n is positive.\nAnswer: n**(-37\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*m = 23, 2 = -2*a + 2*m + 20. Suppose -l + 3085 = 2*x, -a*x + 7713 = -5*l + 7*l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6)\/z)**(9\/7) assuming z is positive.\nAnswer: z**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*r + 32 = 0, -5*d - 4*r + 0*r = -8. Suppose -x = -11 - 4. Solve t + x = -d*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 72 and 68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-4)\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 2. Let p be w(2). Let q = p + 8. Let s = 236 + -82. Calculate the highest common divisor of s and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272680, -272694, -272722, -272770, -272844, -272950, -273094, -273282?\nAnswer: -273520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -3. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -319852\nAnswer: -1\/159926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12559934 divided by -991.\nAnswer: 12674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 173*f - 717 - 1186 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose 7*j - d*j - 4 = 0. Let g = 31 + -27. Sort 5, j, g in descending order.\nAnswer: 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*g**4\/3 - 7176*g**3 + 4882*g**2 + 6040*g\/3 + 168 = 0 for g.\nAnswer: -2\/13, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**3 + 3*i**3 + 2*i**3)*(-2 + 2 - 2*i) + i**4 + i**4 - 4 + 0*i**4 to the form f*i**2 + z*i**3 + d*i**4 + w + u*i and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -54*a - 11. Let k(i) = 94*i + 107*i - 211*i - 2. Let z(y) = 2*j(y) - 11*k(y). Let v(p) = -318*p**2. Give z(v(l)).\nAnswer: -636*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*o = -25*m + 20, 2*m + 6*m + 2*o - 40 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -18*g**2 - 12*g - 20. What is y(-2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3290.96 and 31.\nAnswer: 102019.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (10239 - 5)\/7. Suppose 3*x + 147 = -4*f + q, 5*f + x = 1643. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 9 = -35*a + 9. Let w(i) be the second derivative of 0 - 6\/5*i**5 + a*i**3 + 17*i + 8\/3*i**4 + 0*i**2. Find the third derivative of w(b) wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5880*z. Let p(y) = 35*y. What is p(v(x))?\nAnswer: -205800*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9156090 and 982290.\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1213 - -1212.462. Let t = h + -0.462. Let p = 37\/6 - 7. Which is the third biggest value? (a) t (b) -4\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 47 = 22*t, 2*g + 4*g + 2 = 3*t + 5*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 8*r - 3*r + 0*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 40*q**2 + 3*q + 51. Let p be v(40). Is p smaller than 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20) + 24\/1680*-67\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 796*j.\nAnswer: 4*j*(j - 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 879 by -1.\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416276 - 572833.\nAnswer: -989109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n - 46*n - 29*n - 1824 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 567 and 0.5.\nAnswer: 283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeweeeewew. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 5*c + 18, 4*f - 27 = 3*c. Let s(h) = h**2 - 5*h - 4. Let a be s(f). Suppose -34 = -a*n + 132. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354568?\nAnswer: 2, 169321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42269 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1326, -1325, -1324, -1323?\n\"Answer: p - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f**3*z**2 - 2*f**3*z - 6098*f**3 + 13*f**2*z**2 + 1611*f**2*z wrt f?\nAnswer: -36*z**2 - 12*z - 36588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194359*a**5 + 5*a**4 - 4*a**3 - 150*a**2 + 3895*a.\nAnswer: -11661540*a**2 + 120*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-13))**(-5\/16) assuming c is positive.\nAnswer: c**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -0.48.\nAnswer: -4, -0.48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 2.6, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24320*0.8.\nAnswer: -19456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 13 - 1. Let b be 10\/66 + 6\/(-18). What is the closest to -2 in b, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhgfgeo. Give prob of picking 1 o, 1 e, and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296796?\nAnswer: 2, 3, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1598531 rounded to three dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.344366 - 1.244366. Let m = 146\/9 + -16. What is the second biggest value in -12, m, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031 (base 5) in base 6?\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.04, -1, -0.02, -2\/5, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 32*y - 7176\/7.\nAnswer: 2*(y - 138)*(y + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 6) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 17681*c**2\/2 + 78110219*c\/2 - 390993245\/2.\nAnswer: (c - 5)*(c + 8843)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(63)\/(-1*sqrt(1296) - sqrt(9))*3.\nAnswer: 3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-18)\/8)\/(45220\/307496)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/21*((-135)\/30 - -3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1473, 1450, 1387, 1260, 1045?\n\"Answer: -4*y**3 + 4*y**2 - 7*y + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, -1 in ascending order.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.330565m?\nAnswer: 5330565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 2. Let z = 14 - d. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.92 - -0.08. Let k be (-49)\/(-2) - 5\/(-10). Suppose -r + 6*r + k = 3*t, t + 5*r = -5. Which is the biggest value? (a) -4 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*m - 10*h + 5*h, 4*m - 16 = 4*h. Solve -4*q + m*q - 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 181. Let t = -94.99668 - f. Round t to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rarraa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:28 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -534, -573, -628, -705, -810, -949?\n\"Answer: -t**3 - 2*t**2 - 26*t - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (0 - 1)*-1. Suppose 2*z - 4 = -2*u - 2*z, 4*u - 2*z = r. Suppose x + 2*x - 228 = 3*k, 5*k = u*x - 149. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.68 times -3\nAnswer: 83.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - a)*(-2 + 1 + 3)*(1 - 24 + 8)*(2 - 1 - 2) as i*a + j and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - f**2 - f**2 - 2*f**2 - 2*f**2 + (f - 3*f - 7*f)*(-4*f + f + 4*f) to the form x*f**2 + w + m*f and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/2 + 3\/6 - -16. What is the fourth smallest value in -1\/6, m, 2, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -4*u**2 - 15*u + 1493. Let b(z) = -4*z - 8. Calculate -11*b(q) + 6*h(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -10. Suppose y - 4*x = i*y + 12, y + 4*x + 14 = 0. Let w(t) = 4*t + 2. What are the prime factors of w(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*l - 419*l = 46662. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/6 - 2*w**2 - 116*w - 3. Let k(j) be the second derivative of j**2\/2 - j. Calculate -4*k(t) - o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.015 - -5.985. Which is the biggest value? (a) 5 (b) 0.1 (c) n (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012096 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1750, -7628, -17428, -31150, -48794, -70360, -95848?\n\"Answer: -1961*j**2 + 5*j + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let m(g) = 6*g - 18. Calculate m(j(t)).\nAnswer: -6*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -72. Let w = 7 + -5. Sort -3, w, h, 1\/3 in decreasing order.\nAnswer: w, h, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -0.029, 5 in descending order.\nAnswer: 5, -0.029, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 121*h**2 + 15*h - 16. Is m(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214703 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (196 + -117 - 67) + -96?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 227*u + 2*u**3 - 117*u - u**2 - 108*u + 1 to the form j*u**2 + m*u + c + d*u**4 + s*u**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6459408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -25 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 + (2 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, -219, -588, -957, -1242, -1359?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 18 - 3 = -3*n, -n = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533810355.\nAnswer: 3, 5, 13, 2737489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-151)\/453)\/((-83)\/1992).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 7. Suppose 0 = 4*r - 25 - s. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, s: 2}. What is prob of sequence wwws?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(360)\/sqrt(8) - (2 + sqrt(5) + 5))**2 + 4.\nAnswer: -28*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3187704 divided by 31252?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 256265611 + 13?\nAnswer: 256265624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170*b - 99182 + 12382 = 0 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p - 23 - 41 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/4027 - -8068\/28189. Which is the nearest to -207? (a) -2 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(p + 3*p - 6*p)*(-3 + 0 - 2).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/((-8)\/(-2)) - 5. Let p = s + 34. Let j be 1 - p - (-5 + 114\/(-6)). Solve 5*k = n + 16, 0 = -5*k - 3*n + 8 + j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 17112.\nAnswer: -7, -4, 17112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30570.9698923 + -1.\nAnswer: 30569.9698923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -81. Which is the closest to 0.3? (a) -5 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*i - 93*i = 24. Suppose -i*g = -1334 - 82. What are the prime factors of g?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let k = -102 - -99. Let o = 155 + -777\/5. Which is the closest to r? (a) o (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.75 - 0.25. Let g = x + 20. Let h = 13 - 13.5. What is the closest to 0 in 5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1585\/12 or 133?\nAnswer: 1585\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115.5415307 + 41.76.\nAnswer: -73.7815307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) -1\/20 (c) -15 (d) -0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -375514 >= -376563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 815196761.8919?\nAnswer: 815196757.8919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-961)\/(-155))\/(-5*10\/(-500)*2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*u + 49*u**3 - 25*u**3 - 24*u**3 - 5*u**4 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123513108 divided by -212.\nAnswer: 582609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*k - 45600, 500 + 22276 = 2*y - 3*k. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let t be y(1). Let x be -2 + 1\/1 + -2. List the prime factors of 13*(t + 2) + x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(153)*-4)\/((sqrt(90)*2 + sqrt(90))\/sqrt(10) + sqrt(9)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51554, -50661, -49768, -48875, -47982, -47089?\n\"Answer: 893*d - 52447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(3) - (sqrt(3) - (sqrt(480)\/sqrt(10) + sqrt(3)))).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1718, -3454, -5190, -6926, -8662, -10398?\n\"Answer: -1736*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 5*i + 42*i - 2997 = -114*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-42)\/(-28))\/(3\/52)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 285*f**3 - 7*f**2 + 2674*f**3.\nAnswer: 2389*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 10 = 34*i. Suppose 0 = -2*m + 5*t + 17, i*t + 3*t = 5*m - 80. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 22, 0, 5, 2, -2\/61, 13\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 32. Suppose -x + d = -0*x. Suppose -g + 5*n + x = 0, -3 + 0 = 3*g + 2*n. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2225 and 801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*r + 12 - 36, -5*r = 5*b - 30. Suppose -z = -0*z + 2*x - 143, 3*z + b*x - 441 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 26*r = -29*r + 3, 26 = -2*n + 4*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(3 + -27 - -3). Let l = v - 11. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {r: 14, i: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*v - 2*v + 20, -5*f = -4*v + 100. Suppose 345*m - 1 = 344*m. Does 8 divide (f - 3)*m\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**4 - 1\/3*v**2 + 0*v + 1\/3*v**3 - 1\/3*v**5 + 0.\nAnswer: -v**2*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*x**2 - 781*x**2 - 4 + 4.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyuuy. What is prob of sequence yyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 21*v**5 + 69*v**4 + 18*v**3 = 0.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h**4)*(3*h + 2*h - 7*h) + (h**2 - 3*h**2 - 2 - 2)*(-31*h**3 + 2*h**3 + 5*h**3 + (2*h**2 - 2*h**2 + 2*h**2)*(2*h - 5*h + 4*h)).\nAnswer: 48*h**5 + 88*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/76*13\/(-143).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -960*b**3 + 22*b**2 - 24*b + 88. Let x(n) = 481*n**3 - 12*n**2 + 13*n - 48. Give 6*t(v) + 11*x(v).\nAnswer: -469*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 1)*(3 + 0 - 1)*(24*d + 14*d - 14*d).\nAnswer: -384*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1221235\/2 or -610617?\nAnswer: -610617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0308 and 0.043?\nAnswer: 0.0013244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 41*l**3 + 196*l**2 + 292*l + 40. Let g(w) = -8*w**3 - 39*w**2 - 58*w - 8. Let y(v) = -4*b(v) - 22*g(v). Factor y(f).\nAnswer: 2*(f + 2)*(f + 4)*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2624 divide 29036436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + 17960?\nAnswer: 1796e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39723\/5 - (16\/(-232) - (-194)\/290)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -22 (b) -2\/23 (c) 0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/18)\/(39\/(819\/(-294)))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 >= -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*o = -500*o - 174 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 - 8. Let r(h) = -h**3 - 1. Let k be 275\/110*168\/(-30). Determine k*r(b) + 2*u(b).\nAnswer: 6*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70533956 and 1396712.\nAnswer: 141067912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38457071.\nAnswer: 211, 182261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 259, 269, 279, 289?\n\"Answer: 10*f + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11\/2, 21, 2\/19, -2 in ascending order.\nAnswer: -2, 2\/19, 3, 11\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165228, 660898, 1487020, 2643600, 4130644, 5948158, 8096148, 10574620?\nAnswer: 13383580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -130, -198, -290, -412, -570, -770, -1018?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1584) + 0) - sqrt(1584)) + sqrt(1584) - (6*4*sqrt(1584) + sqrt(1584))**2.\nAnswer: -990000 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, 0, 25, 25.462, 5, 2\/9?\nAnswer: 25.462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423413 (base 5) to base 7.\nAnswer: 56332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 54*q**3 + 3*q + 1. Let z(y) = y**3 - y**2 + y - 1. Let j(n) = -s(n) + z(n). Let h be j(-3). Is (3\/(6\/h))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68504751 and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 0.2, 45632, -9, 4 in ascending order.\nAnswer: -9, -3, -0.1, 0.2, 4, 45632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 227*z**2 - 102. Let u(r) = r**2 + 8. Let d(g) = -4*k(g) + 84*u(g). Find the first derivative of d(q) wrt q.\nAnswer: -1648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-124)\/(-2480)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.528 - 0.528. Let k = -59 + 235\/4. Let o = -47\/12 + 13\/4. Which is the second biggest value? (a) k (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2754\/7 - 393. Let a(j) = -j**2 + 5*j. Let o be a(5). Let b be 6\/10 - (-2)\/(-5). Put o, c, b in increasing order.\nAnswer: o, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 + -16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 361*m**2. Let l(r) = -4*r**2. Give a(l(c)).\nAnswer: 5776*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -556 + 575. Suppose -5 - 1 = -3*n. Solve -4 = n*o - 4*w + 10, 4*o + w = -f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12058958221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27 - 3931*f**2 + 3930*f**2 + 5*f + 7*f.\nAnswer: -(f - 9)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j - 1 = -5*l, -16 = -4*j. List the prime factors of (l - (-1 + -2)) + 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let i = -2 - u. Which is the smallest value? (a) i (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21314 and -26.24.\nAnswer: 559279.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let n(v) = -2*v**2 + v**2 + 8*v**2 - 2*v**2 - v**2 - 3 + 5*v. Let o be n(m). Calculate the highest common factor of o and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*w - 43*w + 1882*w + 356*w in the form x*w + b and give x.\nAnswer: 2031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -11. Let q = z - -8. Suppose -130 = q*n - 8*n. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -7. Let p = -33 - 19. Let v = p + 66. What is the least common multiple of v and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5\/6*y**5 - 27*y**4 - 358*y + 1061\/6*y**3 - 85\/3*y**2 - 380\/3 = 0?\nAnswer: -38, -1, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -240. Let a(i) = 7*i**2 + 10*i + 13. Calculate the remainder when z is divided by a(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 9*l + 4. What are the prime factors of o(-11)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 41 - 120 - z)*(z - z + 2*z**4).\nAnswer: -2*z**5 - 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + -13 + (-24)\/1. Let x(g) = -3*g**2 + 64*g + 30. Let i(b) = 5*b**2 - 95*b - 45. Let p(z) = -5*i(z) - 8*x(z). Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 5, b: 7, r: 4}. Give prob of picking 1 m, 1 r, and 1 b.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -207 from -5093.\nAnswer: -4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x - 3*r + 504, -5*r - 126 = -x. Suppose 7*q - 5075 - x = 0. Let a = -406 + q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 20*v + 8. Let m be w(6). Solve -4*y + 12 = m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -39c?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 620 = -4*o, 4*x - 148 = 3*x + 4*o. Suppose 0 = -29*a + 31*a - x. What is the remainder when 188 is divided by a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518201 and 2566181.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 962, 2674, 5526, 9518, 14650, 20922?\nAnswer: 28334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53286, -106568, -159830, -213054, -266222?\nAnswer: -319316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*sqrt(176) - (2*(sqrt(176) - sqrt(176)*-3 - sqrt(176)) + sqrt(176))**2.\nAnswer: -8624 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1343 + 188. What is the remainder when (-1)\/8 - z\/24 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 16. Let x be q(-7). Let m(u) be the first derivative of u**3\/3 - 3*u**2\/2 + u - 2. List the prime factors of m(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 223, 290, 355, 418, 479, 538?\n\"Answer: -r**2 + 70*r + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -171000, -170998, -170994, -170988, -170980, -170970, -170958?\n\"Answer: q**2 - q - 171000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 5 + (-3)\/(9\/65). Let y = -493\/24 - p. Let o = 116.7 - 117. Which is the closest to 1? (a) 2\/9 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) -0.208 (c) -1\/5 (d) -1.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101084 and 23241124.\nAnswer: 2732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -82*k**2 + 14*k - 3. Let o be l(6). Let r = o - -4022. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 541560 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(-1 + 1 + 3*m)*(31 - 19 - 1)*(45*m - 10*m + 180*m) to q*m + r*m**2 + o and give r.\nAnswer: -14190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694044384 to the power of 1\/2, to the nearest integer?\nAnswer: 41159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9784258g in kilograms?\nAnswer: 0.0009784258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywttwwwyt. What is prob of sequence yyw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 17*k - 48. Let y be c(7). Is (y\/(-15))\/((-3)\/(-21745)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305\/(30\/((-120)\/20))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 138 in 0.4, 3\/5, -6\/7, -0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 72 = -c, -4*c - 77 - 97 = 5*q. Let a = 104 + q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -269, -279, -285, -287, -285?\n\"Answer: 2*k**2 - 16*k - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-15))\/((24\/(-15))\/(-1)). Sort 2\/13, 2, w.\nAnswer: w, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27803\/8 or -45?\nAnswer: 27803\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/148, -0.116, -2 in increasing order.\nAnswer: -2, -0.116, 1\/148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*d + (0 + 2 - 1)*(-d - d + 3*d) - 113 + 113 + 60*d)*(-3 - 5 + 2).\nAnswer: -354*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 7*n + 11*n. Let o(k) = k**3 - 5*k**2 + 3*k - 1. Let u(x) = -o(x) + 2*w(x). Calculate u(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467b (base 16) in base 10?\nAnswer: 214651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bebgggbggbgggggbgbg.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, a: 2}. Give prob of sequence ppa.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 17 = 5*z, 2212*y - 2214*y = 4*z + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 13, 17, 21?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*x**3 - 3*x**3 + 2*x**3 + 0.\nAnswer: x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15861034*y**4 + 5879539 wrt y.\nAnswer: -63444136*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1989 + 1985. What is the fourth biggest value in -49, -2, 0.4, v?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000000 - 22?\nAnswer: 333312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-12))\/(4\/(-18)). Let s = 37.8 + -41. Let t = s - -5.2. What is the smallest value in t, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*i = 3*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 87, 4, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*o + 2866, -5*o + 6*f + 4786 = 7*f. Suppose 24442 = -4*b + 2*t, b = t + o - 7069. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 2*d + d, 0 = -b - d + 8. Calculate the remainder when -3 - (-117)\/7 - 32\/(-112) is divided by (10\/b)\/((-2)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/7 - (-116)\/(-203). Solve -3*s - 5*t = 40, 0 = 5*s + 5*t + b + 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/357*34*(-22)\/(-8)*(-32)\/40?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 2*t - 3. Let l be c(2). Let k be (13 + l)*2\/4. Suppose w + 4*w + 4*i + 374984 = 0, 2*w = k*i - 150020. Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcco when four letters picked without replacement from {x: 4, o: 3, c: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42342 divided by 6.\nAnswer: 7057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 4?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3 + 93 - 93 + 4*y + 12*y**2 - 6*y**3 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*j - 48382 = -742*j. What are the prime factors of j?\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.012 + 2.842. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10429.\nAnswer: 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -j + 3, 3*j - j = t. Let w be 1562\/44 - 6\/4. Let o = -37 + w. Sort -1, 0, o, t in decreasing order.\nAnswer: t, 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3 - 2)*((2*s + 0*s - s)*(2*s + 0 + 0) + (-4 + 4 + 13*s**2)*(-4 + 5 - 3)) to m*s**2 + g*s + f and give m.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4779499 is divided by 2479.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18513, 36921, 55291, 73623?\n\"Answer: -19*v**2 + 18465*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q. Let b = 29 + -14. Let n(p) = -25*p**2 + 12*p**2 + b*p**2. Give n(d(y)).\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1669112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/4)\/(-2 - 5\/(-2)). Calculate the highest common factor of j and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:06 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -14 - (1 - -2) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*-3*(-8)\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/7 + 65\/35. Let y(p) = p**3 - p**2 + p + 2. Let l be y(0). Let o be (5\/l)\/5*36. What is the greatest common divisor of o and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018213915 to 6 dps.\nAnswer: -0.001821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 + 6*l - 5. Let s be q(4). Solve s = f - 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1508 divided by -34.\nAnswer: -754\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418369?\nAnswer: 251, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 6. Let t = 46 + -64. Let w = t + 25. What are the prime factors of p(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941976 is divided by 36229?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 3 + -1 + 2. Suppose -2*j + 36 = y. What is the highest common factor of 119 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-64)\/(-435) + (-6)\/9. Sort 6, 0, o in descending order.\nAnswer: 6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11648464 to the nearest integer?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/12 + 4*c**2. Let s(z) = 11*z. Determine o(s(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*f**2*v - 3971*f**2 + 6*f*v - 87*f + 2*v - 11 wrt f.\nAnswer: 32*v - 7942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3135 - -3361. What is the remainder when o is divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1813*p + 9. What is the units digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**6\/1620 + n**5\/270 - n**4\/108 + n**3 + 4. Let x(o) be the third derivative of r(o). Factor x(f).\nAnswer: -2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364054843.\nAnswer: 71, 5127533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19842578 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -208 (b) 4\/5 (c) -10 (d) -3 (e) 543 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let v = -13 + 20. Let z(l) = -22 - v*l + 22. Give c(z(h)).\nAnswer: 98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -65, -124, -203, -302, -421?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 43151*q**2 - q. Let z(o) = -6*o. Give z(w(b)).\nAnswer: -258906*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*b + 362894 = 237*b. Calculate the remainder when b is divided by 135.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (-12 + (3 - 19)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 55, 143, 263, 409, 575, 755?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000099807771 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*k + 22 = 0, -5*h - 2*k + 30 = -7*k. Suppose 6*f - 14 = -h. Solve -16*q + f = -15*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183711681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4783 or -4782?\nAnswer: -4782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 387 + -363. Calculate the highest common divisor of 624 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**6\/15 - 123*v**5\/4 - v**4\/6 + 87*v**3\/2 - 808*v - 4. What is the second derivative of s(h) wrt h?\nAnswer: -24*h**2 - 3690*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -33\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26310169 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 47. Does 9 divide 12\/18 + n\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25501423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (315\/525)\/(0 + 54\/(-20)). Which is the closest to l? (a) 2\/33 (b) -2\/5 (c) -3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-30)*(-6)\/(-7). Let t = 6790 - 6794. Which is the closest to 1? (a) x (b) -0.1 (c) t (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519 is divided by 338?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17911\/62 less than or equal to 289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -1571\/8. Let y = 207 - 208. Let a = 2.96 + 0.04. What is the nearest to a in x, y, -5\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 1456.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1184162 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g + 15. Let r be 2 + 2 + (-1 - 4). Let x be t(r). Let v(d) = d**2 + 3*d - 7. Let c be v(-5). Solve -h = 2*f + 3, -c*f - 3*h - x - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312000 (base 4) to base 3\nAnswer: -11202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -106ccc2 (base 15) to base 2\nAnswer: -101100110001101010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20984 and 7320.\nAnswer: 314760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - z**2 - 3)*((-3*z - 3*z + 2*z)*(0*z - 6*z + 2*z) - 101*z**2 - 100*z**2 + 210*z**2) in the form x*z**4 + k + n*z + p*z**3 + d*z**2 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -98*j + 454 - 29. Solve j*g - 9 = 2*p + 9, 2*p - 4*g = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 - 2*d - 9. Let i(j) = -j**2 + 8*j + 4. Let u be i(6). Suppose 3*b = h - u, 0 = 3*b + h + 4 + 16. What is the units digit of x(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 3, 2.\nAnswer: -3, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 6\/8 - 333\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 17*f**2 + 16*f - 14. Let d be s(16). Let v be (-28)\/d*210\/4 + 5. Do 110 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 2*i. Suppose i*k = 5*s + 268, -k - 3*s = -5*s - 132. Suppose -2*w + 2 = 0, 5*a = -2*w + 731 - k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15166114, -15166117, -15166120, -15166123?\nAnswer: -15166126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 3*d. Let s(q) be the second derivative of 0 + 5*q + d*q**2 - 1\/4*q**4 + 1\/2*q**3. Find h, given that s(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 573 - 33. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n**(-3\/4))\/n)\/n*n)*n\/(n*n**(-6)*n)*n*n)\/(n\/(n**(1\/3)\/n)*n)**(-16))**(-8\/9) assuming n is positive.\nAnswer: n**(-1234\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 128*f + 2614. Determine n(-22).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ba34b (base 12) in base 10?\nAnswer: 4476011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12727327 + 1?\nAnswer: -12727326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202102 (base 5) in base 7?\nAnswer: 311456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-8)*(168\/224)\/((-12)\/(-896)). Solve 356 - q = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5069 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53.09 in -0.3, 2\/59, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 119. Let m = -5 + 3. What is the nearest to 1 in z, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**2 + 2246*f**5 + 4962*f + 478*f**5 - 7*f**2 - 1965*f wrt f.\nAnswer: 54480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:56 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12804310 is divided by 7581.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 + 3 = 0. Let u = t + 11. Factor -4*d + 5*d - 2*d - 2*d**2 + 5*d - u*d**3.\nAnswer: -2*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712870 rounded to the nearest 1000?\nAnswer: 713000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (-3 + sqrt(847)*4))**2 + ((sqrt(7) + sqrt(1008)*-2)**2 - sqrt(63)*4).\nAnswer: -210*sqrt(7) + 11335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -4*t - 20*n + 52, t - 38 = 4*n. What is the lowest common multiple of 46 and t?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let u be d(2). Solve -12 = -u*l - 4*z, 2 = z - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - -6)*(1 + 0). Suppose x = 3*n + 133. Let w = n - -43. What is the lowest common multiple of w and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-572678)\/61680 - (-36)\/96. Let h = -9\/1285 + a. Calculate the common denominator of h and 9\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkkkkkkkk. Give prob of picking 4 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003943749 to the power of 1\/2, to the nearest integer?\nAnswer: 31685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.75467 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + x**3 - 6)*(124*x**2 - 101*x**2 - 2*x + 11*x).\nAnswer: 23*x**5 + 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i + 16. Let t be j(0). Let v be ((-3)\/1)\/(-1) - -3. Solve -t = 5*w - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 127, 441, 1079, 2155?\n\"Answer: 19*s**3 - 9*s**2 - 2*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6235162 - -1?\nAnswer: 6235163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 2*g = -2*g. Let o(y) be the first derivative of -1\/4*y**4 + 0*y - 1\/3*y**3 - 2 + g*y**2. Find the third derivative of o(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(-3 + ((5*(1 + sqrt(320)) - (sqrt(320) + 1*sqrt(320))*2) + sqrt(320)*2*5 + sqrt(320) + 0 + 3 + sqrt(320))**2).\nAnswer: 8320*sqrt(5) + 270706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 633.\nAnswer: -632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-340))\/((-36)\/96).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*h**3*m**4 - 562*h**3 + 31108*m**4 - 99*m**2 wrt m.\nAnswer: 504*h**3*m + 746592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - c + 3 + 16*c)*(-2 + 2 + 6) + (2 - 2 + 2)*(5*c - c - 3*c) in the form d*c + l and give d.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. Let s = -2 + k. What is the nearest to 0 in 2\/3, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21418? (a) -0.1 (b) 0.5 (c) 3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - g = 797902 + 701892, -g + 1499806 = d. What is d rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31223?\nAnswer: 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 8*k**2 + 5. Let w(d) = -d**2 + d - 8. Let z be w(0). Let s be i(z). Suppose s*l + 3*r = 293 - 33, 0 = -4*l - 5*r + 221. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9 (base 12) to base 11.\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*q - 35*q**2 - 618*q + 37*q**2 + 1934*q - 634*q.\nAnswer: 2*q**2 + 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -18559, 4.2, -5 in ascending order.\nAnswer: -18559, -46, -5, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 1, u: 1}. Give prob of sequence wc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.018*-430\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r + 2 + r)*((-5*r - 8 + 8)*(-3*r + 9*r + 12*r) + r**2 - r**2 - r**2).\nAnswer: -273*r**3 - 182*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88620 divided by 20?\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/381, 4, -3\/4.\nAnswer: -3\/4, 1\/381, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 562 + -261. What is the remainder when q is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3514*s - 65 = 3498*s - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11989, -47980, -107957, -191914, -299845, -431744, -587605, -767422?\nAnswer: -971189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 33664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 3*d - 27. Does 2 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 291 - 280 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1136436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 995783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4273, 2615, -1887, -10655, -25111, -46677?\nAnswer: -76775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*g - 9. Let m = -28 - g. Is 2\/(12\/m)*-15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*m = -35, 0 = -2*r - 199*m + 204*m + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 6. Let p(l) = -2*l + 6. Let t(i) = 3*i**3 + 2*i**2 - 4*i + 1. Let a be t(1). Determine a*c(s) + 3*p(s).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361 - -384. Calculate the remainder when 114 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21901452388*z + z**2 + 21901452388*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o**2 - 2*o + 1. Let i be q(1). Which is smaller: i or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4945649 or -0.23?\nAnswer: 4945649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1399131, 2798298, 4197465?\n\"Answer: 1399167*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 7*b. Let u(f) = -2*f + 9. Let y be u(8). Let l be s(y). Solve -5*i + 9 + 11 = l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:04 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(-1*sqrt(1300) - sqrt(1300)))**2 + -1.\nAnswer: 10399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 782, 2713, 6526, 12863, 22366?\nAnswer: 35677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -98.000264. What is c rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 1420?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + 2*i**3 + i**2 + 5*i + 2. Let r = 280 + -286. What is d(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 44*j**2 + 19*j - 59. Suppose -a = -5*r - 14 + 16, -5*r = 3*a - 14. What is the units digit of f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2*o + 1. Let m be h(3). Let k be (-83)\/m - (-1)\/(-4). What are the prime factors of 4\/14 - 246\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22*((-9)\/(-3))\/(-3). Suppose 3*j - 3*b = -90, 3*b - 85 - 67 = 5*j. Let t = h - j. What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 4513515?\nAnswer: 9027030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2 + 3*x. Let y(u) be the first derivative of -u**3 + 0*u - 1 + 1\/2*u**2. Let l(t) = -4*b(t) + 11*y(t). Solve l(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*w + 456*w = 25242 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.139 + 0.07. Let n = j - -0.07018. Round n to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/5 - 297*j**3\/5 + 753*j**2 - 3375*j + 5100 = 0. What is j?\nAnswer: 4, 5, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 96. Let z be h(-24). Suppose f + 3543 = 6*f + 3*l, -3*f - l + 2125 = z. Does 89 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0212 * -724465.\nAnswer: 15358.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-1)\/4)\/1*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -2898503*b + 2898512*b + 3*s, s = -5*b + 88 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**7\/21 + 3*k**5\/4 + k**3\/3 + 383*k**2\/2 + 504*k. What is the second derivative of r(u) wrt u?\nAnswer: 40*u**3 + 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2945\/2 - -5)*(-8)\/10. Let t be (i\/(-4))\/(24\/64). Suppose -22*y + t = -18*y. What are the prime factors of y?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14601428?\nAnswer: 2, 3650357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q + 65. Let a be u(0). Let m = 6 - -20. Calculate the highest common divisor of m and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5754411 is divided by 719300.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 18 - 12 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*v = -2, -g + 8*v + 15 = 11*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 - 2*h - 1. Let z be y(-1). Let v(q) = 9099999*q**3 + q**2 - q + 1. Let i be v(z). Round i to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14016 + 14016 - 2844*m)*(-m - 2*m + m) + 0*m**2 - 5*m**2 + 4*m**2.\nAnswer: 5687*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8568 is divided by 8041.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.113+-0.43\nAnswer: -0.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**8)\/n)**(-12) assuming n is positive.\nAnswer: n**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 449374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 14. Suppose 8*d - 3015 = t*d. Suppose -4*n = 5*n - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -682642068.0000229 + 682642015. Let v = n - -53. What is v rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 15*g - 10*g + 11*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*m + m. Suppose 0 = -0*p - 2*p - 50. Let n = m + p. Solve 0*s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k\/k**(-7)))**(-46) assuming k is positive.\nAnswer: k**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 54 = 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106056856 is divided by 53028415.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.707741ug to milligrams.\nAnswer: 0.007707741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 9. What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + q = -35, -4*q - 113 = -j - 87. Solve 5*t - j*t - 2*x = -11, -t + 20 = 5*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 116012346 - 5?\nAnswer: 116012341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 3, 1, 5 in decreasing order.\nAnswer: 54, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 6*o - 3380 = -8*o. Solve o*g = 178*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 3\/8, 5\/4, -249\/22?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1686656 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 6*p + 75. Let y = p - -24. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 23762 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.3\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 143\/22)*(-8)\/(-6). Suppose -9*w = -v*w - 252. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 0 + 14*i**3 + 15*i**3 - 30*i**3 + 2 to c*i**3 + r*i**2 + p + q*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 5*d - 6. Let l(o) be the third derivative of -o**5\/15 + o**4\/4 + o**3 + 16*o**2. Let p(n) = 4*l(n) + 5*t(n). Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, -283, -2 in increasing order.\nAnswer: -283, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-35 - -17) + -9 + 15 + -1 + -14\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 - 95. Suppose -10*g + 24*g = -w. What is g rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728 - -1608. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49265 and 11564.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.6 (b) -3.2 (c) 3 (d) -2 (e) -1\/6 (f) -4 (g) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/54*-18)\/((-481)\/74)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 29*y**2 + 74*y - 77. Determine b(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10100100011111000 (base 2) to base 14\nAnswer: 22996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11996473*d**3*i**2 + 59*d**3 + 177*d - 14*i wrt i?\nAnswer: 23992946*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301*h + 1314*h = -52 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2. Let b(v) = -8*v**3 - 2 + 0*v**3 + 2*v**2 + 9*v**3. Let r(w) = -b(w) - 2*n(w). Differentiate r(t) with respect to t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 82, 208, 374, 574, 802, 1052?\n\"Answer: -h**3 + 29*h**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 31. Let g(l) = f + 11*l + 12*l + l. Let o(r) = -r - 1. Let h(y) = -2*g(y) - 10*o(y). Find the first derivative of h(d) wrt d.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (2 + 7 + -8 - 25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 3*w - 6. Let j be l(7). Let s be (-2)\/3 - j\/6. Suppose -4*d + d + 9 = 0. Solve 0 = -d*m, -s*b + m + 3*m - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242315034 (base 6) to base 15.\nAnswer: 60c594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**3 + w**2 + 3*w - 2. Calculate r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 4 (c) 28.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001181 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(165\/(-297)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:07 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*o - 73, 4*f - 2*f - 5*o = 19. Suppose 0*w - f = -w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*m = 2*p + 1, 0 = 4*m + p + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1527*h + 815*h - 1543*h + 0 + 0 - h + (0 + 1 - 2)*(2*h - 3*h + 2*h) - 2*h + 2*h - h in the form s*h + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1485 and 660.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4268122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.16, 6, -0.9, -9, 4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -692, -4, -109, -2835?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 6*n - 178, n + 25 - 52 = -i + 3*i - 0*i for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36872071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from eeufeeiiuuiiiuiuiee.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 - 4 = 0. Let n be (10 - d)*1\/2. Sort -6, n, 1 in ascending order.\nAnswer: -6, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-21 - -76) - -40?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(2 - 0) - -188. Suppose 0 = -8*d - i - 143. Let m = d - -249. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, 1 l, and 1 q when four letters picked without replacement from {q: 2, p: 1, k: 1, w: 2, l: 1, e: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.021 or -37.07?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27812, 55626, 83440, 111254?\nAnswer: 139068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 46. Suppose k*b = -2*b + 28. Solve b*u - 1 + 21 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03175 + -0.05494. Round s to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 + 84*p**2 - 39*p + 33. What is the remainder when q(-20) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998776643.\nAnswer: 3, 379, 1757939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2624, -2629, -2634, -2639, -2644, -2649?\n\"Answer: -5*u - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 16*k + 31. What are the prime factors of z(-14)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 12*n - 17. Let u be d(-9). Let r(o) = -10*o + 16*o - u*o. Let h(p) = -p + p - p + 0. Calculate r(h(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulfwwfc. Give prob of sequence wflf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -28, -23, -2, 41, 112?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 1. Let w be f(2). Suppose -5*g = 4*h + 4, -2*g = 9 - w. Suppose -3*l = -3*b - 59 - 10, h*l = -3*b + 71. Solve r + 3*r + l = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 54.53. Let h = -21.09591 + 20.5659214. Let k = r - h. Round k to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39859089 is divided by 1449?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 + 3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140453, 561671, 1263651, 2246393, 3509897, 5054163, 6879191?\n\"Answer: 140381*v**2 + 75*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 20. What is the highest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8 + (-270)\/(-20). Let w(y) = y**2 + 6*y + 8. Let t be w(11). Suppose -t = 2*h - 7*h. What is the highest common divisor of k and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d + 2*z - 0, -z = 2. Suppose 0 = -2*n - t + 8, 11 = 5*n + 2*t - 10. Let f = n + d. Solve -h + 5*s - 23 = 0, -s + 6 + f = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*r = 22, -2*r + 70 = -2*i + 82 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p - 2. Let q(r) = -4*r - 1. Suppose 36 = -5*m + l, 2*m + 13 = -2*l + l. What is m*q(t) + 3*n(t)?\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 33 + 7)*(-f + 3*f + f).\nAnswer: 174*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 - 365. Is (2 - -18161) + f + 20\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 17*f**2 + f. Let a = 1 + 0. List the prime factors of q(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - a - 4, -3*a - 2*a - 5 = 5*z. Let u be (-10)\/(-4) + (-1)\/(-2). Solve -z = u*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 570.6 - 567.023. What is j rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -365311, -730615, -1095919, -1461223, -1826527?\n\"Answer: -365304*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -0.4, 2\/9 in increasing order.\nAnswer: -0.5, -0.4, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001472807 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13241 - -13247. What is the smallest value in j, -117, -2, 5?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 375*p + 339. Let d(l) = 29*l + 26. Let u(k) = 27*d(k) - 2*q(k). Let n(y) = 2*y + 1. Let c(g) = -18*n(g) + u(g). What is c(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*s - 1139*s - 3*d = -21, 9*s - d + 157 = 0 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -544573*c**2*g - c**2*k + c**2 + 110*c*g*k - 88*c*k - c + 2*g*k + 1 wrt c.\nAnswer: -1089146*g - 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109953*g**2 + 55062*g**2 + 54998*g**2.\nAnswer: 107*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 27. Suppose -11*g = -50 + u. Solve g = 2*p + p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2*1118)\/4)\/(19\/(-57)) is divided by 184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 20 = 4*j + 4*d, 0 = -d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.8. What is the closest to s in 0.4, 3\/5, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309818303 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 4*u - 808, -5*u = 20. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-304)\/126)\/4)\/(486\/(-756)) and -115\/6?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -24*l - 287. Let j(k) = -11*k - 144. Determine -13*j(h) + 6*z(h).\nAnswer: -h + 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 42*n. Solve n = 7*v - 11*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + (1 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117) - sqrt(117)*-1))\/sqrt(9).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 5*q + 13. Suppose 6*a - 48 = -6*a. Calculate the smallest common multiple of 15 and l(a).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41588 - -2018. What are the prime factors of x?\nAnswer: 2, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67694 is divided by 1391.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2532205 + 146?\nAnswer: -2532026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163203 (base 10) to base 9.\nAnswer: 267776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426720 by -142240.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 4*j)*(2 - 1 + 4)*(3*j**3 - 3*j**3 + j**3).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 50195178.7 to the nearest ten thousand.\nAnswer: 50200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11658 and -643841444.92.\nAnswer: -643829786.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:34 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 + 36*r**2 + 38*r**2 - 128*r**2 + 92*r**2.\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.54 - -3.7. Is n at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -529981379974597\/9757747713 - -1\/464654653. Let l = -54298 - p. Let u = 16 - l. Are 1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/40 + -2\/5. What is the second smallest value in -0.3, y, 1\/11, -1\/14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18a1b (base 15) to base 6\nAnswer: 1413525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*m + 17933 = -1797*m + 5964 - 6887 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 + 6*y + 9. Let n(t) = -t**2 - t + 1. Let c(r) = 5*n(r) - o(r). Let x be c(11). Let b = -859 - -861. Sort -1, -3, x, b.\nAnswer: x, -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26840 divided by -147?\nAnswer: 26840\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 60*l + 106 + 128*l - 69*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42 and 1\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*52\/91*2079\/108.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(171) - -1*1*sqrt(171) - (sqrt(171) + 0 + 3) - ((1 + sqrt(171) - sqrt(171))*6 - (sqrt(171) + 0)*-4)))**2.\nAnswer: 252*sqrt(19) + 1735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 4*sqrt(84)*-2 - -1*sqrt(84)*-1)*-3)\/((sqrt(48)*-1)\/sqrt(4) - (sqrt(36)*1)\/sqrt(3)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*k**2\/6 - 1835*k\/3 - 72 = 0. Calculate k.\nAnswer: -2\/17, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 10*a - 2)*(61 - 61 - 167*a - 196*a) to i*a + z + p*a**2 and give p.\nAnswer: -3630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3489*o + 3178*o - 4354 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419.398 times -1.6?\nAnswer: -3871.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106250 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10129, -10132, -10135, -10138?\n\"Answer: -3*n - 10126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r - 3*a, 3*r + 0*a + a = 11. Let z(d) = 3*d**2 + 3*d**2 + d + r*d**2. Suppose -15*c + 4 = -19*c. What is z(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 26, 5, -1580 in increasing order.\nAnswer: -1580, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -355, -2839, -9583, -22717, -44371?\n\"Answer: -355*c**3 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2043467711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 - 57014070*l = 0?\nAnswer: -19004690, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -2. Let u = -10 - a. Solve h - u = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33.1 (b) -1\/14 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861 = 5*o - 6*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 6*w**2 - 12*w - 23. Let t be d(-7). Let z be 17399996 + 124\/28 + t\/(-28). What is z rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.187 + 0.213. Which is the third smallest value? (a) -5 (b) -310\/9 (c) f (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2945*j**3 - 2935*j**3 - 3 + 11*j**2 - 2 + 5. Let b(r) = -2*r**3 - 2*r**2. Let f be 2\/(-6) + 64\/(-6). Give f*b(q) - 2*n(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 0 + 0*o**3 - 1\/20*o**5 + 3\/2*o**2 + 0*o**4 - 2*o. What is the first derivative of g(a) wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3 + 7 + 2 - 2*r + 12. Let c be n(10). Put c, -5, 0 in descending order.\nAnswer: 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:32 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1822, -1825, -1830, -1837?\n\"Answer: -x**2 - 1821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - 0.2. Let c = -1 - y. Let w = -0.4 + 4.4. Sort 0.2, c, w in decreasing order.\nAnswer: w, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 109*t - 1562. Let f be u(17). Let p(v) = -4*v**2 + 7*v - 11. Let y(k) = -5 + 3*k + k - k - 2*k**2. Let s(d) = -4*p(d) + 9*y(d). Give s(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -56?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1106\/1422)\/(35\/165).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -27*u**2 + 10710*u + 60. Let l(h) = -22*h**2 + 8568*h + 49. What is -9*c(i) + 11*l(i)?\nAnswer: i**2 - 2142*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19098 (base 16) in base 4?\nAnswer: 121002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/27)*g\/g**(2\/19))\/(g\/g**(-17)*g**(2\/23)))**24 assuming g is positive.\nAnswer: g**(-1619312\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12212, -24654, -37108, -49580, -62076?\nAnswer: -74602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 0. Let v be (-702)\/u + (-12)\/42. Suppose 0 = 2*q - v + 16. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 33*o**2 + 2*o - 1. Suppose 0 = 5*y + 10 - 0. Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005517 to seven dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 105*k**3 - 9*k**2 + 49*k + 8. Let u(a) = -37*a**3 + 3*a**2 - 18*a - 3. Let m(l) = 3*r(l) + 8*u(l). Let q(c) = c**3 + c**2 - c. Give 2*m(v) + 6*q(v).\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let m(y) = -y**3 + 2*y**2 - 4*y + 2. Let o be m(k). Let s(r) = -r**3 - 7*r + 1. Is s(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9 and (-495)\/162 + 2 + 15\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -25, -4\/13, 5, -7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262 (base 11) in base 7?\nAnswer: 15355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Let h be a(-5). Suppose -2*o + h = -2. What are the prime factors of (o*13)\/(6 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1030411004?\nAnswer: 1030411010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - 0.06. Let d = 71 + -70.99. Let u = 5.01 - d. What is the smallest value in u, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/t**(2\/27))\/(t**(2\/5))**(1\/42) assuming t is positive.\nAnswer: t**(-1969\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f**5 - 12*f + 6*f + 21*f**2 + 25*f**5 + 15*f**4 - 27*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdxxhzxdx. What is prob of picking 1 d and 2 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 56, 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/119)*k)\/k*k*k\/(k\/(k*k*k**(-25)*k)) assuming k is positive.\nAnswer: k**(-2382\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4)*i)**46)**(5\/2) assuming i is positive.\nAnswer: i**(805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44705145.\nAnswer: 3, 5, 89, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2, e: 4, o: 2, j: 2}. What is prob of picking 3 e?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -250. Let r = 190.99921 - d. Round r to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 - 14*j - 6*j**2 - 23 + 22 + 16*j**3 - j**2 as g + o*j**3 + c*j + v*j**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 + 4*x + 7. Let f be q(-5). Suppose n + f = -2*n. Let w(u) = -4*u**2 + 2. Let v(o) = 2*o**2 - 1. Give n*w(g) - 7*v(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17387*u + 191301. Determine p(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-4))\/(1*-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102225060*q**3 + 215*q + 139545.\nAnswer: 613350360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10517, 8803, 4127, -4999, -20063?\n\"Answer: -248*z**3 + 7*z**2 + z + 10757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90286*p**5 - 88126*p wrt p?\nAnswer: -1805720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j - 2. Give x(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -12. Let i be 13\/m + 4\/2. Let s = 0.29 + -0.29. Which is the nearest to 2\/5? (a) i (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121501?\nAnswer: 121501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32033 is divided by 208.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = k + 8*h - 1, 2*k + 481 - 459 = 4*h for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 3*s + 5. Let p be (0\/1)\/(-2 + 0). Let b be 3 - (p + -6)\/3. Suppose 11 = -b*x + 3*r, 2*r = -4 - 2. Calculate d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - 1*(-6)\/4. Suppose w + 12 = -m*w. What is the hundreds digit of (44\/(-33))\/(w\/546)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-1)\/4 - 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:48 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*78\/(-90)*2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/(5\/(-140)). Let o = 2 + m. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1139 minus -1954.8?\nAnswer: 815.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 2:33 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7166 + 7235. Are c and -0.06 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v - k = 76*v - 6, 0 = 6*v - 5*k + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6 + c**2 - 29*c**2 - 10*c**3 + 34*c**2. Let t(o) = -9*o**3 + 5*o**2 - 5. Calculate 6*t(w) - 5*z(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12209411941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.7 - 45. Let n = v + 3.23. What is the third smallest value in -3, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-23)\/10)\/(26\/1300*20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190609 + -190604. Suppose 152 + 23 = 4*u - 3*j, -155 = -4*u - j. Solve 176\/7*s - 248\/7*s**2 - 76\/7*s**3 - 32\/7 + u*s**4 - 100\/7*s**c = 0 for s.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*r**4 + 3\/8*r**5 + 0*r + 3*r**2 - 3\/2*r**3.\nAnswer: 3*r**2*(r - 2)**2*(r + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2638487762 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*p + 2*p. Suppose p*k - 288 - 124 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1144)\/(-429)*10\/16\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 4, 1\/58, -2 in increasing order.\nAnswer: -2, 1\/58, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*y - 2 - 52*y + 21*y in the form f + s*y and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {s: 1, n: 2, i: 4, v: 1, k: 2, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 + 3*u**2 + 2*u + 115. Suppose 3*b = -b - 28. What is i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -10314222?\nAnswer: -10314241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g = -52*g - 140. What is the remainder when 1128 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyhkkjkyd. What is prob of sequence hkd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c = 27*c + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/1*(7 + -1). Let g = x - -9. Put 5, -1, g in ascending order.\nAnswer: -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:11 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**1)*p**(-4\/5))\/((p\/(p**(-2\/7)*p*p*p*p))\/p*p*(p\/(p*p\/(p\/(p*p**(2\/7)))))\/p))\/((((p\/(p**0\/p))\/p)\/p)**(2\/5))**11 assuming p is positive.\nAnswer: p**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 32. Let y be b(16). Suppose y*i + 5*i + 20 = -5*s, -2 = 3*s + i. What is the units digit of (129 + s)*((-3)\/6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*i + 38, -h - 2*i = -5*h + 46. Let y(k) = k**3 - 6*k**2 + 7*k + 1. Calculate the least common multiple of y(5) and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*34\/4488*2?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1 + 7)\/(3399\/412 + 295\/20)\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - (-194112)\/(-2520))\/((-1)\/21)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -1, 0*n + 4 = -n + 5*i. Let h(f) = -599*f**2 - 1. Let q be h(n). What is q rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k. Let c be m(3). Suppose c = -5*r - 13. Let s = -11 - r. Solve s = 5*h + 12 - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 457721.1 to the nearest one thousand.\nAnswer: 458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 3*u - 1. Let r be s(3). Suppose -r = -4*d + 63. Suppose w - d = -3*w. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14021403 - -3?\nAnswer: 14021411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 18. Solve -m = 2*h + 3, -3*h + h - 5*m + l = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 206*j - 51*j - 48*j - 58*j - 50*j. Suppose 0 = k + 3*d, 0*k + 2*k - d = 14. Let x(c) = 14*c + 2*c**2 + 6 - k. Give 12*t(i) + x(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 35*n**2. Let c(d) be the second derivative of -d**3\/2 - 401*d. Determine c(p(x)).\nAnswer: -105*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from iiippiiiipcipipiiiii.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 9*d + 36*d**2 - 6*d + 208.\nAnswer: 36*d**2 + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 134 - 12)*(-1 + 2 - 2)*(3 - k**2 - 3).\nAnswer: -129*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, g: 4, x: 6, j: 5, c: 3}. What is prob of picking 1 x and 1 j?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*j**3 + 418*j**2 - 808*j - 200 = 0. Calculate j.\nAnswer: -25, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + q**2 + 0*q**2 + 0*q**2 - 4*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 8*h + 6. Let u be (-434)\/(-10) - (-14)\/(490\/21). What is the smallest common multiple of r(5) and 1*u - ((-6)\/6 + 5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*f - 8 = 0, 3*q = 7*q + 5*f - 4. Let o = 1 - q. Solve -4*y - 4*v = -2*v + 2, 0 = -2*y + o*v - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -6567.\nAnswer: -19\/6567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -504, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -10*k - 47 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, s: 14}. Give prob of picking 1 s and 3 n.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(9\/2) + 30. Solve -i*z = -20*z + 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13874 and 3349580?\nAnswer: 23447060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 80380 - 258103 = -31*q. What is the highest common divisor of 372 and q?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Suppose 5*u - 24 = -u. Let s(t) = u*t - 7*t + 13*t + 4*t + 1. Calculate m(s(j)).\nAnswer: 28*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m. Suppose 2*f - 4 = -3*g, 5*f = -29*g + 30*g - 7. Give a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.084 - 38.784. Let u = -101 - -134. Let o = l + u. Round o to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10)*(-4 - -14). Suppose -v = -3*a - b, -a + 5*v = 12 + 8. Suppose y + 2*s - 33 = a, 2*s = -2*y + s + 54. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 175201973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = x + 4*u - 880, 0 = 5*x - 3*u - 7689. Let s = 970663\/180 - 77087\/20. Let k = s - x. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 16 = 3*w. Let a = w - -4. What is the second derivative of k + k**3 + k + a*k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*d*u - b*d - 77983*b*u + 2*b + 5*d*u + d - u + 163750 with respect to u.\nAnswer: b*d - 77983*b + 5*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-54)*-3)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmknmkmkknkkkkn. What is prob of picking 2 n and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*o + 40, -11 = 5*o - 21 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -20*j - 332 + 12652. What are the prime factors of j?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.3 (c) -3 (d) 0.007 (e) -287\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110101110 + 10020?\nAnswer: -10110021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*u - 11*u + 10*u + (4 - 4 + 3*u)*(-2 - 3 + 7) - u + 4*u - u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -19 - (-18 - -9) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*m - 966 + 966)*(-9*m - 602*m**3 - 49*m**3 - m + 10*m) to the form l*m**3 + j*m**4 + c*m + h + x*m**2 and give j.\nAnswer: 19530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 14) to base 11.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euauaaaeea. Give prob of sequence eea.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:07 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u**2. Let d(j) = -11966007*j. Determine d(w(g)).\nAnswer: -143592084*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, -1\/44, 6, -1.\nAnswer: -1, -2\/15, -1\/44, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {o: 6, u: 2, f: 9, c: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1 - 2*h**2 + 0 + 1. Let j be (-42)\/(-18)*12\/14. Determine n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-2\/7)\/m*m*m))**(-2\/157))**(31\/5) assuming m is positive.\nAnswer: m**(-124\/5495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/((-2)\/6). Let b = -15 + 10. Let d = -12.8 - -13.3. Sort n, b, d.\nAnswer: b, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102112201011 (base 3) to base 8\nAnswer: -673644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - n**4)*(4*n + 3*n - 3*n) - 2*n**2 - 4*n**5 + 2*n**2.\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6950*b*o**2 - b*o + 22948*b wrt o.\nAnswer: 13900*b*o - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 - -211. Suppose 0 = 4*c - 0*c - 12, b + 5*c = 19. Solve -m = b*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 110\/3*o**3 + 424\/3*o - 204*o**2 + 50\/3*o**4 - 80\/3 = 0.\nAnswer: -5, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364884870 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r - 454. Let g be s(-65). Let o = -67 + 66.6. Which is the biggest value? (a) g (b) o (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/4 - g**3\/3 - 1. Let s(x) be the first derivative of x**4 - x**3\/3 + x - 10689. What is -d(m) + s(m)?\nAnswer: 5*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + g = -2, -5157*g = 7*m - 5155*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-14))\/((-1)\/(-7)). Suppose 2*r + u = 2*t, -4*t + 3*r = t - 21. What is the smallest common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 12. Let c be d(-8). Solve -k - c*k - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-77)\/14*(-2)\/(-22). What is the nearest to p in -2, 0.3, 0.5, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 33\/32*y**4 + 9\/8*y**3 - 3\/8*y**2 + 9 + 0*y. Factor j(b).\nAnswer: 3*b*(b + 1)*(11*b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -3386\nAnswer: -77878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4336 is divided by 241.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/3 + 2*b**2 + 8*b - 3. Let q = 5 - 2. Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*v**2 + 34*v**2 + 39*v**2 - 3*v + 6*v**4 to the form g*v + c + f*v**2 + k*v**3 + m*v**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22740 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 + 9.8. Let v = -8.07 + b. Is v > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:01 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2441 + -2?\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-19 - -24) - 25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(468)*-2*-3 + sqrt(468) + -3 - 1*(sqrt(468) + -2)*4))**2 + -3.\nAnswer: 4500*sqrt(13) + 105922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264040*d**2 - 128103*d?\nAnswer: -528080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 - 4*k**4 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4983934310 plus 4093?\nAnswer: -4983930217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g - 12 = 0. Let a(d) = -7*d**2 - 6 - 17*d - d**3 - 3 + 1 + 8*d. Let z be a(g). Solve i = 2*i + n - 2, 5*i - 5*n - z = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259946*j + 259946*j + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -691.2 - -691. Which is the second smallest value? (a) 0.3 (b) -1\/7 (c) -20 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 5*t = 391. What is the remainder when 26 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/40*66)\/(-1*(-12)\/16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4691981, 9383952, 14075923, 18767894?\n\"Answer: 4691971*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2 (c) -7\/3070 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 - 74 = 34*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205136.\nAnswer: 2, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/473547, -0.06, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 2 = -u - 6*c, 5*u + 2*c - 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/21 - 3008697\/9. Round s to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15*a - 2. Suppose -3*h + 6*y + 49 = 4*y, 5*h + 5*y = 40. Let v = -7 + h. Is 20 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6866700 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucdqhdkduqcq. What is prob of picking 1 k, 1 q, and 1 h?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 62*a + 793. Let j be r(18). What is the closest to 2.2 in -0.4, -0.09, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (8 - (2 + -1)) - 20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1864226111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 19 + 4 + (2 - (-16 - -7)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -c + 1759*a - 1761*a, -13 = c - 2*a for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -930, -1432, -1970, -2550?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/2 - 8. Let r be (-195)\/(-35) + (-3)\/(-7) + -2. What is the nearest to 0.1 in b, r, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*l + 55, m + 36 = 3*l + 3*m. Let d(w) = -2*w**2 + 4*w - 4. Let c be d(3). Let x = l + c. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -79*b - 1. Determine h(-2).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/54 + -46*(-22)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most -2528\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:14 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:05 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-69))\/(2\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -916*c**3*t**3 + 1033*c**3 - c*t wrt t.\nAnswer: -5496*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1330)\/(-57)*-2)\/((-12)\/(-18))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1870, 1867, 1862, 1855, 1846?\nAnswer: 1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (3 + -1 - (-12)\/(-6)). Solve -2*a = -2*b + 16, -3*b = -z - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 60.94. Let i = 1.94 - f. Which is the nearest to 2\/9? (a) 5 (b) -2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 35\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:12 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (-4 - -6) + -16 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 847.2.\nAnswer: 338.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180))**2*-6 + 2.\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14385)\/411)\/(((-2)\/(-10)*2)\/(4\/(-10)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79872.74 litres?\nAnswer: 79872740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 36. Is 5*(2 - h\/(-15)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 11*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:18 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 + 7948*b\/9 - 5296\/3.\nAnswer: -2*(b - 3972)*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y + 0*y**6 + 0*y**3 + 0 + 0*y**5 + 1\/3*y**4 - 4*y**2 + 1\/42*y**7. What is the second derivative of z(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-60)\/68 - (-106)\/34. Suppose i*g + 3*r = 3, -5*g + 34 + 1 = -5*r. Solve -g*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 2\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28 + 5*q**2 - 28 - 4*q**2 - 2*q**2 + 46*q. What is the units digit of d(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458739548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, a: 2, m: 2, h: 4}. What is prob of sequence ma?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let n = 3.16 + x. Let v = -0.24 - n. Sort v, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2722 + -419191\/154. Let r = t - -2491\/1386. Let z = 33227\/1254 - -2\/627. Find the common denominator of r and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4*o + 28, -2*a + 0*o - 33 = -5*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -364770 + 630?\nAnswer: -364140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1454865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -231.19 less than 0.4?\nAnswer: 231.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12450000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078559 is divided by 1008.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480 a factor of 59508984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 8191275748.\nAnswer: -8191275747.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6262895899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-2\/13)*t)*t**(-1\/3)*((t\/t**(1\/5))\/t)\/t**(-3\/4) assuming t is positive.\nAnswer: t**(289\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(38)\/sqrt(72) + sqrt(1900) + -2 + sqrt(19).\nAnswer: -5 + 67*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + v - 231013 + 230985 = 0, 0 = -4*b - 4*v - 32 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (672 - 671) + (0 + -20 - -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -21*p**3 - 3*p**2 - 5*p - 1. Let q(o) = 64*o**3 + 8*o**2 + 14*o + 2. Determine 8*d(u) + 3*q(u).\nAnswer: 24*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4\/4 + 10*c**3 + 31*c**2\/2 - c + 956. Give a(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 1\/3, -5, 15 in ascending order.\nAnswer: -5, 1\/3, 2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.814387? (a) -5 (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44832, 44833, 44834, 44835, 44836?\n\"Answer: k + 44831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16188129077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Let h(p) = -5*p - 7. Let f(v) = -11*v - 15. Calculate u*f(j) + 9*h(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2088808 - 2.\nAnswer: -2088810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27619.0027 rounded to the nearest integer?\nAnswer: -27619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -5*r**4\/24 - r**3\/6 - 2*r**2. Give b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*x - 27, 20 - 5 = 3*x - u. Let d be (0 - 66)*(2 - (-3 + x)). Let j = d + -26. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69585, -139166, -208749, -278334, -347921, -417510?\n\"Answer: -l**2 - 69578*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1389 - 87 = -479*z + 2356 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393748.\nAnswer: 2, 348437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 74326?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1397 - -1397. Solve p = 5*y - 5*z - 30, 30*y - 35*y = -3*z - 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.2257 to one dp.\nAnswer: 152.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114376343 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -37 + (2 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)*2 - sqrt(60)) + sqrt(60))\/sqrt(10))\/(sqrt(2) - -2*sqrt(162))*-4 - (0 + ((sqrt(9)\/sqrt(3)*-2)**2 - sqrt(3))*-4*-2).\nAnswer: -96 + 144*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7164624 divided by 29?\nAnswer: 247056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44\/7, 0.3, 0.4, 3, 0.2, 6 in descending order.\nAnswer: 44\/7, 6, 3, 0.4, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**6 + 0 + 1\/30*u**5 + 0*u + 0*u**4 + 0*u**3 - 1\/210*u**7 - 2*u**2. Find the third derivative of y(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 42. Solve -u = -5*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o + 22. Let g = 11 - o. Let t = g - 1. Let r(m) = -m**3 - m**2 - 1. Determine r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1991\/26892 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6 and 113\/26658.\nAnswer: 26658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*4) - sqrt(91))*3 - sqrt(91) - sqrt(91))))\/(sqrt(7) - sqrt(2401)\/sqrt(7)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - q + (6 - 3 - 1)*(2*q + 2*q - 2*q))*(14*q - 10*q - 9*q) + (-1 + 4 + 1)*(2*q**2 + 4*q**2 - 2*q**2).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 301278407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -96*d + 149*d - 52*d. Let z(y) = 1 - 2*y**2 + 0 + 1. Give r(z(j)).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4475.\nAnswer: -3\/4475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 23 = 3*v, -5*f + 3*v - 22 = 6. Let k = 0 - f. Let h(b) = 2*b - 6 - k*b - 1. Calculate h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68903 - 571?\nAnswer: 68332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*p + 454727, -5*h = 5*p - 4*p - 454731. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-367)\/26 - 1089\/(-9438))*3\/(21\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -2)*(-10 - (4 - 3)). Suppose 20 = 6*r - z*r. What is the biggest value in r, 0.5, -24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543229 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = -a - 10, a = -o - 3. Let f(z) = 22*z**2 - 25. What are the prime factors of f(a)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(4\/17))*u**46*u*u*u*(u**32)**(-49) assuming u is positive.\nAnswer: u**(-25827\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -501\/7. Which is the second smallest value? (a) -25 (b) n (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(80)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2 + 0 + sqrt(175))*6 + -5*sqrt(175)*1 + sqrt(175) + sqrt(175)*-1*3 + 5))**2.\nAnswer: 630*sqrt(7) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*u = 16, 0*v - 3*v + 4*u = -26. Let f(c) = 10*c + 63. Let z be f(-6). Solve -j + v = -z*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 - 6*p - 2. Let t be y(7). Let x(d) = -t*d - 4*d + 21*d + 1 + 12*d. Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -5. Suppose -10 = 2*n, g*z = -0*n + 3*n + 17. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m + 3*y, 0 = -4*m + 2*y - 7*y + 22. Solve -m*v + 5 = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11479 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/42594 and 91\/24.\nAnswer: 170376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 29. Let i(k) = 4*k**2 - 14*k + 13. Let q(n) = -11*n**2 + 43*n - 38. Let m(v) = 8*i(v) + 3*q(v). What are the prime factors of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 309 - 243. Let p = k + 265. Suppose -l + 52 = 5*j - 601, 0 = j + 2*l - p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 25 = 4*c. Suppose 4*a + 2*b + 0*b = 190, 5*a - 245 = -4*b. Calculate the highest common factor of c and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*o - 4704 = -23*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 2*c**5 + 0*c**3)*(-33 - 23 + 62) + (0*c**2 + 0*c**2 - 3*c**2)*(-3*c**2 + 3*c**2 + 2*c**3).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*l**5 - 228*l**5 + 529*l**2 + 200*l**5 - 386*l**5 - 320*l**5 wrt l?\nAnswer: -46200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128566649 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/8 (b) -1\/5 (c) -0.1 (d) -29 (e) -4 (f) 0.4 (g) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 - 3*j - 5. Calculate the remainder when 30 is divided by r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8432268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -0.87 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*d**4 - 2268 + 2272 - 13*d**4)*(-3*d + 7*d + d).\nAnswer: -210*d**5 + 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 2 + 2 + 0 + 0 + 3*a + (-a + 0 + 0)*(-3 - 1 + 2) + 29*a + 0*a + 7*a)*(2*a + 4*a - 7*a) to the form t*a + c*a**2 + m and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34442?\nAnswer: 2, 17, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhknkrnkk. Give prob of sequence wrh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88*x**2*y**2 - 82*x**2 - 2*x - 4*y**2 - 176*y + 3 wrt x?\nAnswer: -176*x*y**2 - 164*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - (5 + -4)) + (-34 - (-2 + -6)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from {b: 8, k: 3, a: 6}.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 - -13 - (1 + -2) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23836 - -1 - (-40 - -41). Let u = x + 27482910\/1153. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.63 and 98?\nAnswer: -257.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 + (-2 - -1). Let v(l) = 7*l - 8. Let p = 3 + -9. Let q(t) = t. Let c(s) = p*q(s) + v(s). Calculate c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 95.\nAnswer: 5225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5911486 is divided by 700?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*n - 1 + (-2 + 2 - 2)*(3*n - 2*n - 2*n) + 0*n + 4*n - 2*n)*(-76*n - 433*n - 260*n + 1094*n).\nAnswer: 1950*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 - -314. Suppose 5*l + j = 102. Solve -5*a = l*n + 15, 5*n + 6*a = a - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8 - (65\/(-10) - -5). Solve -7*a = -p*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 114 = -894 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -177?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 12) in base 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/11)*n*n*n**(-2)*n)\/(n**6)**39 assuming n is positive.\nAnswer: n**(-2564\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Suppose -c + 2 = v, -2*v + v = -h*c - 2. Solve 0*g = -3*g + v*d + 17, 5*g + 2*d = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/23? (a) -36\/5 (b) 0.3 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 273346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 3, 1, -5, -16651 in descending order.\nAnswer: 9, 3, 1, -4, -5, -16651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Let w = z + 22. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1094059991\/3453018295 + -319\/224645. Let c = -2\/809 - a. Let h = c + -64\/323. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 10. Let q be u(2). Solve -h = -q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 2, m: 2, h: 7, q: 4}. What is prob of sequence qq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6490461, 12980976, 19471491, 25962006, 32452521, 38943036?\n\"Answer: 6490515*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46856\/149 or 315?\nAnswer: 46856\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 38. Let x be z(9). Does x = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*i + 193*i + 6*i**2 to x*i + c*i**2 + m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/8)\/7 - 39\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - ((-116 - -48) + 124)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/6 + 2*n**2 - 2*n. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1 - 6 - 18*l + 2 + 130*l**3 + 6*l**2 - 129*l**3 to the form j*l + o + q*l**3 + k*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*c + 8*c = -844, 5*y = -5*c - 2105. Calculate the smallest common multiple of 84 and 6\/33 - y\/110.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svepkkk. What is prob of picking 1 s and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-7 + (26 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/2 + 1059*l**4\/2 - 137785*l**3 - 1269330*l**2 - 3694212*l - 3421872 = 0. What is l?\nAnswer: -4, -3, -2, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:12 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 33*h - 9. Is h smaller than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 11*a - 30 = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhyhhhshh. Give prob of sequence hsy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/166 and 169\/240.\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/35 - -1)*6\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5 - 2*d + d**2 + 4*d**2 - 8. What are the prime factors of z(6)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -141. Let d = -2.41 + 7.86. Let x = -0.45 + d. What is the nearest to -2 in 1\/2, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 1\/3 (c) 4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24))\/((-1)\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 848731.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b7a12 (base 15) in base 11?\nAnswer: 368929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 59518, -0.3 in decreasing order.\nAnswer: 59518, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -85. Let d = 69 + x. Let z be (-135)\/d*12\/9. Let i(v) = -2*v. Let u(w) = 19*w - 1. What is z*i(n) + 2*u(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let l be (6 - j)*12\/20. What is the biggest value in 4, 2\/7, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499114259 to the power of 1\/2, to the nearest integer?\nAnswer: 38718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**4\/114 - 24*o + 10. Let b(c) be the first derivative of a(c). Factor b(x).\nAnswer: 2*x**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0) + -15 + 14. Let y(s) = 2*s**2 + 3*s - 3. Let x(d) = -d**3 + d**2 + d. Let n(m) = r*y(m) + x(m). What are the prime factors of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (102\/85)\/((-4)\/((-7680)\/(-9))). Is -255 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/520 and 29\/20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-5)\/(-10))\/(3 - 5037\/1680)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 30. Let w be a(-17). Solve -w*l - 2*c + 17 = c, 0 = -c - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 30 + 2 + -10 + 3 + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 19*t**2 - 35*t + 3. Give x(8).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 32*i - 94. Let a(s) = s + 4. Let l be a(10). List the prime factors of c(l).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = 76*q + 157*q - 89600. Calculate the greatest common divisor of q and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.2 - 9.1. Let h = f + -5.1. Let d = 1.9 + -2. Which is the nearest to -1\/2? (a) h (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31969 and 3164931?\nAnswer: 3164931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)\/s)\/s)**(2\/37)*(s**(-2\/9))**(-19\/4) assuming s is positive.\nAnswer: s**(3083\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 41390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 17. Let w be d(8). Is w equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 211\/2 - 4\/8. Suppose 2*f = -3*f - m. What is the remainder when 11 is divided by 0\/(-1) + f\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {l: 1, g: 4, v: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o + 119. Let m be i(-15). Let s(b) = 16*b**3 - b**2 - b - 1. What is s(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45769*b + 2*a = -45771*b - 14, -a = 2*b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57960 and 18515.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013021 - -12001?\nAnswer: 2031022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 14*c - 11*c + 12 = 0, g = 5*c - 28 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118642 take away 7.8?\nAnswer: -118649.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r. Suppose r = 2*p + 2*p - 24. Solve -5*u + h - p = 0, 0*u - 5*u + 3*h + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1602*n + 7999. Give i(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/28213 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:21 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (1 + -1)\/(-1). Suppose r*s + 22 = 7, -4*w + 24 = -4*s. What is the common denominator of w*(1260\/(-176))\/(-9) and -13\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13. Let o = k + -5. Let c = o - -5. Is 6 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 67131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/156 and ((-475)\/(-15))\/((-4)\/3).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*z - 3*z. Let m be -2 + 4203*24\/63. Let l = m + -1602. Is l at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/34437950 and -107\/246?\nAnswer: 103313850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050226 divided by 391?\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.7. Let s = 3 + -2. Let t = 0.4 - 0. Which is the third biggest value? (a) s (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6 and 58\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4282*i + 4274*i + 96 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.02*1.6.\nAnswer: -43.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/67391 and -31\/45.\nAnswer: 3032595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y + 5*m, -4 = -4*y - 4*m. Suppose y*j + 34756 = -10744. What is j rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t = 5*i + 39*t - 627, 3*i - t - 383 = 0. Calculate the remainder when 2153 is divided by i.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 + 2*j + 5. Suppose -4*z - 1 + 65 = 0. Let t = 20 - z. Give w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046277416 rounded to four decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*b = -12, 0 = -b - 11 + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 - 0.24. Let x = -12 - -6.7. Let m = 4.3 + x. What is the nearest to d in 1\/5, m, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 4. Let x be o(3). Let s = x + -7. Calculate the remainder when 18 is divided by 7 - (2 - s\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348441?\nAnswer: 1348441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/2 - 4*b**3\/3 + 3*b**2 - 38. Let u be a(-3). What is x in 0 + u*x + 2\/7*x**2 + 2\/7*x**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 149\/145197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47.58 - 47. Let c = 7.38 - l. Let t = c - 6.800041. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*y - 146*y + 13279 = 7310 - 16444 for y.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vovrovvnvvvnnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1188)\/(-52) - (-4)\/26. Suppose -q = -v - 2*p + 25, -5*p = v - 63. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 12, i: 3, c: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 5. Let t be s(5). Suppose 7*q - 2*q - 4*o = t, 2*q - 3*o = 0. What is the smallest value in -4, 5, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 22*v**2 - 4*v + 29. What is h(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1369*h. Let a(w) = -w**2. Give q(a(y)).\nAnswer: 1369*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:10 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.7 - -0.3. Let d = 13.9954 - r. What is d rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2205 and 5635.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) 4 (d) 3268 (e) 5 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0299 or 23811.3?\nAnswer: 23811.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 424 = 4*m, -2*m + 6*f + 224 = 4*f. Let l be 48\/m + 0\/(-2). Which is the nearest to l? (a) 5 (b) -1 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 111?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 3377, 2\/11, 0.7.\nAnswer: -2, -0.3, 2\/11, 0.7, 3377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 32, 82, 160, 272?\n\"Answer: s**3 + 5*s**2 + 6*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328831320 to the power of 1\/2, to the nearest integer?\nAnswer: 18134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3735 and -13\/2490.\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312448821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 + 4*v**2 + v. Let j = 5 - 0. Let i(c) be the first derivative of -7*c**4\/4 + 5*c**3\/3 + c**2\/2 - 20. Give j*i(l) - 6*y(l).\nAnswer: l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25029.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -5*s - 4*i - 142, 0 = -3*s + 5*i + 331. Suppose 160*l - 101*l = 3186. Calculate the remainder when s is divided by l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -p - c + 17, -3*p - 13 = -c. Let b(d) = d**2 + 4*d - 1. Determine b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 + 2*k**4)*(0 - k + 0) + 22*k**5 + 15*k**5 - 10*k**5 - 3*k**5 + 5*k**5 + k**5 - k**5 + 0*k + 0*k.\nAnswer: 27*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -0.53\nAnswer: -10.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1623, 4, 5, 1, 2?\nAnswer: 1623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 27*p**2 + 25*p - 6. Let r be z(-26). Let n(q) = -q**3 + 20*q**2 + q - 20. Let m be n(r). Let l(s) = -5*s + 42. Does 7 divide l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10997, 11366, 11735, 12104, 12473, 12842?\nAnswer: 13211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b - 136. Let q be w(6). What is the thousands digit of 1733 + (-7)\/35*q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k - 4*k + 2*k**2 + 2*k**2)*((k**2 + 1 - 1)*(-1 + 1 - k) - 21*k**3 - 20*k**3 + 9*k**3).\nAnswer: -132*k**5 - 264*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4428*u + 4425*u + 4419*u - 17699*u + 4428*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*-1*(sqrt(119)*-2 - sqrt(119))*1)\/((1*sqrt(35))\/sqrt(5)*4*-3))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 81. Let a = -271 - -602. Suppose 4*j + 5*m - a = 0, 3*j + 4*m = 2*m + 243. What is the remainder when j is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239659 and 65191.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 89856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h + 1. Let a be n(3). Let t = a - -81. Solve -t = 4*l + 5*r, 4*l - r + 0*r = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1591285632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2595*x**2 + 4*x - 4*x + 2598*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1361, -2721, -4081?\n\"Answer: -1360*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 32*h**3 - 4*h**2 - h. Let g(x) = 32*x**3 - 3*x**2. Let d(j) = 4*g(j) - 3*p(j). What is the second derivative of d(q) wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:59 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + -19 + (-971)\/(-10). Let l = u - 76. Factor l*a - 4\/5*a**2 + 12\/5.\nAnswer: -4*(a - 3)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9710, -38840, -87384, -155336, -242690, -349440, -475580?\nAnswer: -621104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9\/4)\/((-6)\/(-144))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -101 and 7.184.\nAnswer: -93.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/19 (b) 3 (c) 0 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/41 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, 107, -2 in decreasing order.\nAnswer: 509, 107, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 82*o**2 - o.\nAnswer: -82*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/74756 and -50\/18689?\nAnswer: 74756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156005 is divided by 17287.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 19111210 = 4*g, 29*g - 24*g + 23889004 = -2*t. Round g to the nearest 10000.\nAnswer: -4780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54655.75l?\nAnswer: 54655750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2984\/300 + -10 - 6\/75?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(612) + 1) - (sqrt(612) + -2*sqrt(612) + -1)) + 4 + sqrt(612) + sqrt(612)*-2 + sqrt(612) + -5*(1 + sqrt(612)))**2.\nAnswer: 144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18)*(-9)\/15. Let b = -0.27413 + -0.12587. What is the smallest value in -0.2, 0.6, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)**(-18)*k**1*k**8 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 + 11001101?\nAnswer: 11003101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/27 (c) 0.5 (d) -4\/9 (e) 0.3 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 9*q + 20. Let g be (-4206)\/(-60) - q\/(-20). Let j = 41 + g. List the prime factors of j.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)\/(i**(-15)\/i))**(13\/2) assuming i is positive.\nAnswer: i**(1859\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-21) - 13836\/(-28) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 30b6a058?\nAnswer: 30b6a054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(7\/2))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d**2 + 19 - 19)*(0*d**3 - 7*d**3 + 9*d**3).\nAnswer: 36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 43*m + 3 - 39*m - 3. Let t(u) be the second derivative of -u**3\/6 + 81*u. Calculate q(t(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from wnwnnnn.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 206. Let q = -0.13 + 0.33. Which is the closest to 1? (a) q (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*2\/4 + 2. Let u be 2 + k + -2 - -3. Suppose -v + 2 + u = 0. Solve 3*w + 9 = -v*d + 6*w, w - 7 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012012122221 (base 3) to base 9.\nAnswer: -7165587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2717*a**2. Let z(f) = 5*f - 5*f - 127*f**2 - 102*f**2 + 227*f**2. Determine o(z(h)).\nAnswer: -10868*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b - 64. Suppose -5*t + 5*o = -188 + 13, -3*o + 95 = 2*t. What is the greatest common divisor of t and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367705000 rounded to the nearest one million?\nAnswer: -368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/45 + (-25)\/(-9). Suppose h*n - 5*o = 5*n - 63, n - o = 14. Suppose 0 = 2*z - n + 5. Solve -t + 2 = z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2016 and -155\/2229696.\nAnswer: 2229696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3908336 rounded to 4 dps?\nAnswer: 0.3908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21*w**2. Let s(v) = -3*v - 1. Let f(g) = -8*g**2 - 24*g - 8. Let m(j) = 3*f(j) - 24*s(j). What is x(m(o))?\nAnswer: 12096*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4930388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 313, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2776576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 436*b**2 + 380*b + 22.\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*d + 4*d**2 + 42*d + 38*d to the form y + h*d**2 + g*d and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c (base 16) in base 14?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -84 (b) 5\/3 (c) -3\/4 (d) 2\/15 (e) 5 (f) -1 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*s**3 + m*s**2 + 3*m*s + 79*m - 13*s**3 - 8*s**2 + 2*s + 1 wrt s?\nAnswer: 6*m*s + 2*m - 78*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 94. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.3. Let p = d + -0.7. Are p and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1259 - 1251 = 2*d. Solve 4*t - 5*t = 4*n - 12, -3*t + 4*n + d = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030639383 to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 44.91227um?\nAnswer: 0.00000004491227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:29 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9521\/9 + 1059. Suppose 0 = 2*c - 7*c - 5*l + 25, -l = 2*c - 8. Factor -4\/9*t + 0 + 2\/3*t**c + b*t**2.\nAnswer: 2*t*(t + 2)*(3*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.23 + 0.23. Let q(g) = g**3 + 22*g**2 - 25*g - 43. Let f be q(-23). What is the second smallest value in f, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531428 is divided by 1022.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-266*j + 128*j - 340*j)*(2*j**4 - 2*j**4 + j**4).\nAnswer: 956*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 18*f + 90. Does 29 divide r(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-82)\/(-28) - (-14)\/196. Suppose -3*d = h*v - 9, 3*v - 11 = -d - 2. Solve -v*l - 6 = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3950 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 21. Let b be s(-4). What is the third derivative of 789 - 29*t**3 + b*t - 789 - t**2 wrt t?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 63. Suppose 2*z = m - 6*m + 2314, -2316 = -5*m - o*z. Round m to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a + 7. Let g(l) = 6*l + 4. Suppose -62 + 17 = -15*j. What is j*z(t) - 5*g(t)?\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 689. Let n(z) = 212584*z. Give n(r(w)).\nAnswer: 637752*w + 146470376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 246*d**2 - 8*d - 2. Let m(y) = -y**2 - 2*y - 2. Give -2*m(v) + q(v).\nAnswer: 248*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315565 is divided by 1218?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264638 times 4?\nAnswer: 21058552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 4. Let d be n(-4). Let m = d - -5. Suppose m*r + 0*r = 185. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 - p + 1. Let i(n) = 2*n**2 + 2*n - 2. Give 4*i(f) + 8*w(f).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24915, 24751, 24411, 23805, 22843, 21435?\nAnswer: 19491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3450565.\nAnswer: 5, 29, 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**5 - 13*i + 0 + 0*i**2 + 0*i**6 - 5\/3*i**3 + 23\/42*i**7 + 0*i**4. Find the second derivative of c(w) wrt w.\nAnswer: 460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t. Let v be 1*1\/2*t. Let d be -2 + v\/3 + 5. Solve -2*m + 3 = 3*a, -d*m + 5*a = 6 - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3844446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*1*-1)**2 + (-6*((-1 + sqrt(11) - sqrt(11)) + 4 - sqrt(11)))**2.\nAnswer: -216*sqrt(11) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17993 is divided by 530.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1190.3 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2037 - 2038) + 26 + -1 + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3159, 2, 0, 1, -19 in ascending order.\nAnswer: -19, 0, 1, 2, 3159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/7, -60\/73, 4 in ascending order.\nAnswer: -13\/7, -60\/73, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 1 + 2)*(321*l**4 + 110*l**4 + 177*l**4).\nAnswer: -608*l**5 + 1216*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.085 or -78?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**2 - 12*q**5 - 4*q**4 + 4*q**4 - 2*q + 69*q**2 wrt q?\nAnswer: -720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10948 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8260, -8259, -8262, -8269, -8280?\n\"Answer: -2*g**2 + 7*g - 8265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 0, 87\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 28 - 28)*(-42*v - 73*v + 20*v)*(0 + 2 + 1).\nAnswer: 570*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -4.05. Let j be 1\/12 - (-2)\/8. Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2856 = -9*b - 33*b. Let l = b + 581. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 101 - 121 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3224026*c**2*w + c**2 - 90240*c*w + 15*c wrt c.\nAnswer: -6448052*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 + (-848)\/(-1428) + 158\/(-1343).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(2 + 2 - 1)*(1 - 3 + 0)*(-k - 2*k + 2*k) as j + u*k and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*m + 28690 - 322. What is the remainder when m is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) - (-42435)\/10476. Let d = y + 32\/485. Find the common denominator of 7\/(-2)*114\/(-14) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4659534 divided by 23533.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 45 = -14*o. Suppose 0 = o*t - 178 - 218. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 7, c: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2001 - -3545. Let j = y - 1537.37. Round j to 1 decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13411531 to the power of 1\/2, to the nearest integer?\nAnswer: 3662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -2. Let b = 12 + h. Is 2\/3 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*f**2*x + 58*f**2*z - 510*f*x + f*z - 8*f + 282590*x*z - 8*x + z wrt z?\nAnswer: 58*f**2 + f + 282590*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-325)\/(-15) - 2\/3. Let s(u) = u**3 + 8*u**2 - 10*u - 7. Let v be s(-9). Suppose 3*b = -v*b + 735. Calculate the highest common factor of y and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13021 * 126\nAnswer: 1640646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 26*y - 522 = -7*y. Calculate the remainder when 2733 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 2 - 277\/1. Let p = 631 + z. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23699596.\nAnswer: 2, 73, 81163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075417 is divided by 16294.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 794 - 796. Let w(t) = -t**3 - 2*t**2 - 15*t - 24. Suppose -3*i - 4*q + 36 = 0, -i + 2*i - 17 = -3*q. What is the smallest common multiple of i and w(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 - -4.74. Which is the nearest to 0? (a) -0.071 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:30 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3796 + -3190. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:53 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 45. Let w = 3 + g. Solve 0*f - w = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404807 divided by -13.\nAnswer: 31139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -30283038 - 0.952?\nAnswer: -30283038.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 16*a - 11. Let i be x(18). Suppose 0 = 12*f + 1 - i. Solve f*c - 11 + 27 = -5*y, c = 3*y + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3\/4 (c) -4 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**6\/24 - 33*f**5\/20 - 181*f**4\/16 - 335*f**3\/12 - 33*f**2 - 19*f - 158. Let g(m) = 0. What is m?\nAnswer: -2, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5864*c**3 - 16124*c**2 - 423891444*c.\nAnswer: -35184*c - 32248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 11492627?\nAnswer: 1149262c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -519*o**5*z - 2*o**4*z**3 - 3*o**2 - 5583*o*z**3 + 2*z**3 wrt o?\nAnswer: -31140*o**2*z - 48*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n + 90 = 0. Let k = 11 + -7. Suppose 3*i + 5*p + 5 = 2*i, -k*i + 14 = 3*p. Solve 4*a - 21 = i*v, 3*v = -5*a + v + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4502 divided by -300?\nAnswer: 2251\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2) + 0)*0. Suppose 4*p + 1 = 9. Suppose -r - p*r = b. Solve r*h + 5*o = -3*h + 15, 3*h - 15 = -o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*n - 10*n + 90 = 0, 3*y - 64 = n. Let x = 42 - y. Suppose 0 = 3*m - 2*r - 6, -3*r = 2*m - 2 - 2. What is the lowest common multiple of x and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/45*10\/(-65)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*u**3 + 0 + 1\/3*u + 0*u**4 - 1\/9*u**5 - 8\/9*u**2.\nAnswer: -u*(u - 1)**3*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 189 (b) -4 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246640 divided by -3083.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244823 is divided by 6994.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/19 + 14280*n\/19 + 25489800\/19.\nAnswer: 2*(n + 3570)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 23\/4624 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -50*w - 2. Let u(q) = 2*q + 9. Let f be u(-7). Let l(t) = 1. Let p(r) = f*l(r) - x(r). Does 3 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637) + (4 + sqrt(637) - sqrt(637)) + 4 + 6*-2*sqrt(637) - ((sqrt(637) - (sqrt(637) + (-2*(-3 + sqrt(637)) - sqrt(637))))*6 + -3))**2.\nAnswer: -18424*sqrt(13) + 501617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1694 - -1?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*g = -62, 4*f - 2*g = 3*f + 30. Suppose 0 = -67*a + 63*a + 4*q + 308, 0 = -2*a - 3*q + 149. What is the remainder when a is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = -z. Suppose 0*m + 4*m = f + 18, 3*f = -z*m + 2. Let i be m\/6*3\/2. Solve s + 1 = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 7*d + 2. Let h be p(7). Suppose -i = 2*k - h, k - 6*k + 23 = -2*i. Solve 31 = -k*y - 5*f, -f - 10 = f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 22997368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 - 617 = -17*v. Suppose 7*u + v - 145 = 0. Solve -5*o + o = -u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -325 - -585. Is 65 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/7 + (-6)\/42. Let z(y) be the second derivative of 0*y**3 - 1\/20*y**5 + 0*y**2 + 1\/12*y**4 + 2*y + l. What is the third derivative of z(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 28*o + 78. Solve 4*a = o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49098385 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.58021 rounded to 2 dps?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 - 238*o**2 - 960*o - 132. Solve z(y) = 0.\nAnswer: -2, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1006 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3 (c) -0.3 (d) -0.11 (e) -4\/5 (f) 1 (g) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -325977.\nAnswer: -1303908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, -1, 10 in decreasing order.\nAnswer: 10, 1, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6261 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74077343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/495 - 4\/(-22). Put 1, i, 1\/2 in descending order.\nAnswer: 1, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-8)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74440 by 9305.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 6*x**2 - 6*x + 1. Let k be z(-5). Let m = 6 - k. Suppose m = 4*h - 2*h - 6. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 80. Let k = h + 46. Let z(p) = 28*p + 23. What are the prime factors of z(k)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3\/21 - 12*u**2 - 170*u\/7 + 1044. Determine z so that w(z) = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*v + 32 = 2, -2*v = -10. Suppose -w*j = 3*y - 3*j - 139, 3*j = -y + 45. Calculate the lowest common multiple of y and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-700)*10*15\/(90\/(-22))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*x**2 + 216*x**2 + 252*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -30)*(320\/30 + -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 22012132131?\nAnswer: 22012132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 66. Let x = -13 + u. What is the remainder when 37 is divided by 357\/27 - 2\/x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25)\/n**(4\/15))\/((n\/((n*n**(-2\/27))\/n))\/(n*(n*n*n\/(n*(n*n**(1\/28)*n)\/n))\/n)) assuming n is positive.\nAnswer: n**(-95923\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*m - 863 + 81. Let u(c) = -c**3 + 23*c**2 + 9*c + 108. Does 15 divide u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187764 divided by -46941?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*2\/4 + 2. Suppose 0 = k + 5*a - 58 - 58, a = d. Suppose 0*h = -h + k. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46127?\nAnswer: 193, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2059 + -0.7541. Does 35 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 9. Let j = 72 - 65. Is b(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -43109 and -43110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2249056878.8 - -7.58.\nAnswer: -2249056871.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-54) + 75\/189. What is the smallest value in 0.2, m, -2\/5, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 76, 117, 158, 199?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-17) + 5360\/(-1360). Is l < -4\/369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9822 + -9499. What is the remainder when m is divided by 133?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14954631 divided by -4984877?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 183 = -s + 6*s, -2*s = 5*i - 274. Let a be 3441\/63 + 2 - 1\/3. Let z = a - i. What is the nearest to -3\/7 in -1\/7, z, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100001 (base 2) to base 4.\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*p = p + 168, -4*p = y - 56. Let s = 59 - y. Which is the third smallest value? (a) s (b) 0.2 (c) 1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26613 - -26634. Let s(n) be the third derivative of 0*n**3 + 0 + 0*n + 1\/60*n**4 + 1\/300*n**6 - 1\/75*n**5 - r*n**2. Solve s(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19396 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2 + -1 + 2). Suppose 0*m + 25 = m - n*p, 3*p = -m + 35. Let w = m - 19. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v - p - 86 - 305 = 0, -2*v = -5*p + 7 + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 6957*q**3 - 463044*q**2 - 8656128*q - 27660288 = 0. What is q?\nAnswer: -2251, -32, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2963, 3005, 3061, 3137, 3239, 3373?\nAnswer: 3545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i. Calculate the remainder when 45 is divided by p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*32\/24. Let d be -1 - (-1 + (-4)\/l). Does 6 divide ((-12)\/d)\/((-2)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 352?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 times 517.7?\nAnswer: 551350.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x**(-12)\/x)*x))\/((x\/(x*x\/((x**(8\/3)\/x)\/x)))\/x))**(1\/16))**(-3\/5) assuming x is positive.\nAnswer: x**(19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 86 = 3*x, -3*v = -4*x - 6*v + 114. Find the second derivative of 4*b - x*b**3 + 2*b - 6*b - 15*b wrt b.\nAnswer: -180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*((-204)\/24 - -10). Factor 4\/17 + 2\/17*l - 2\/17*l**i.\nAnswer: -2*(l - 2)*(l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 66 = -3*k - g, -3*g = -5*k + 81. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5669*x - 900 = 5609*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-7 - -2)\/((8\/17916)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(55) - sqrt(55))*-3)\/(sqrt(11) - (4*sqrt(88))\/sqrt(8)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/((-1917)\/60)*(4\/2)\/8*-90?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22550264.\nAnswer: 2, 11, 19, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43519 - -18113. List the prime factors of j.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 10, -4*x + 3 = 2*p - 5. Suppose p = -2*i - 0*i + 4. Let a = 7 + 15. Solve i*l + 8 = 2*s, 4*s - 5*l + 1 - a = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(684) + sqrt(684)*1)**2.\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9383*v + 944 - 943 + 6855*v.\nAnswer: 16238*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + 4 + 0. Suppose 19 = -c*o - 68. Let d(y) = -3*y + 10. Let g be d(13). Does o = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 391 - -1aaa?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 + 404 = 11*u. Solve -4*i - u = -5*i - 5*t, 3*i + 13 = 2*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 33*x - 195. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7705 + 14393. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by (-336)\/(-10) + (-105)\/(-75) + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 11. Let j(g) = g**2 + 3*g - 4. Let m be j(-5). Determine k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777601 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 270\/20*(-8)\/(-6). Suppose -p = -2*p + u. Find the common denominator of 25\/4 and 2 - -4*(-15)\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -38. Solve 3*d - 5*d + 6 = j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259241.35 + -118.\nAnswer: -259359.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 + 11*v + 1. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.263 + 0.437. Let q = 32 - k. Sort 0.5, 5, q in increasing order.\nAnswer: q, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.2, 1591?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(63\/(-6))\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45892 less than 0.05?\nAnswer: 0.50892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093.542 litres in millilitres?\nAnswer: 5093542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295733846 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 19 = -2*s + 2, -3*v + 47 = 4*s. Let y(h) = -h**3 - 4*h**2 - 1. Let g be y(-4). Let o = 4 + g. Solve o*c - 2 + s = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -522, -521, -520, -519?\n\"Answer: h - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 - -0.4. Let j = 0.49 + v. What is the nearest to -2 in j, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 15*g**2 - 8*g - 5. Let f be n(-7). Solve u + 21 = -f*l - 2*u, 0 = -l + 5*u + 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i**(-10))**(26\/3) assuming i is positive.\nAnswer: i**(-832\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(300)*-2 + 4 + sqrt(300)*3 + 4.\nAnswer: 14 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((705\/10)\/(-47))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**3 - 129960*c**2 - 21212580*c - 868337360 = 0.\nAnswer: -25828, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.298869196 to two dps.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 430 = 313. Solve -28 = -d*q - 73 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) 0 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 3 + 3. Let f(p) be the first derivative of -p**6\/60 + p**3\/3 - 3. Let u(x) be the third derivative of f(x). Determine u(o(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 3. Suppose -4*w - 12 = 4*c, 4*c + 3*w + 9 = -8. Let n = c - -13. Solve -2 = n*z + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780*f**2 + 115*f**2 - 41*f**2.\nAnswer: 854*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 2\/9 (d) 5 (e) 2 (f) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*x - 5 - 46*x - 10 - 44*x in the form o*x + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-133)\/(-42) - (-6)\/36. Let i = -0.2 + 0.7. Which is the second biggest value? (a) 2\/5 (b) i (c) h (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/11 less than or equal to -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = -1, z = -2*u + 7. Let k be -1 - (3 + (-2)\/z). Let f be ((-10)\/3)\/(k\/(-3300)). Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-3)*s))**(4\/9)*(s**(-3\/4))**(-3\/28))**(-2\/95) assuming s is positive.\nAnswer: s**(-5\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 19, 2, -3, 7, -1 in descending order.\nAnswer: 73, 19, 7, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 82. Let g(t) = 13*t + 310. Determine 6*g(q) + 22*h(q).\nAnswer: 12*q + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10 and 25\/500624.\nAnswer: 2503120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-8 - (-13 - -11)) - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1 - 3, -5*l + 20 = 5*t. Suppose -x + 3*c = 4*c, -2*x = -t*c - 20. Let n(p) = -p**2 + 5*p. List the prime factors of n(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3314 or -3316?\nAnswer: -3316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 + -73. Suppose -5*k = -62 + n. What is the units digit of ((58 + k)\/3)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.36417 to two decimal places.\nAnswer: -21.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 13 = f, -4*d = 4*f + 9 + 3. Let v = 1409 - 597. Suppose i = 6*i - l - 816, 5*i - f*l = v. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bd04664 - -1?\nAnswer: bd04665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -196*d**2. Let r(u) = -1109*u. Calculate w(r(h)).\nAnswer: -241056676*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((6 - 10) + (-9)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27 - (-19 + -8))*(-2 + (-21)\/(-9)). Let y(d) = d + 9. Let c be y(0). Let v = -3 + c. Solve r - v*r - 15 = q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 50*w**2 - 3*w - 11. Let r be q(3). Let f = r - 408. What is the remainder when 261 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2212330 is divided by 2212323.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960 by -30.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 212516039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 1 - 1)*(-3*i + 0*i + i)*(-2*i + i + 0*i).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83395, 83344, 83259, 83140?\n\"Answer: -17*p**2 + 83412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/809784 and 11\/8.\nAnswer: 809784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -8*z - 7. Let n = z - -9. Put 2, n, 4 in increasing order.\nAnswer: 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 11*n**2 + n + 8. Let i(m) be the first derivative of m**4\/4 - 32*m**3\/3 - 29*m**2\/2 - 121*m + 62. Let o be i(33). Determine w(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:22 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - 2*n**3 + 3*n**3 - 4*n**3 + n**3 + 4*n**3 + (n**2 + 2*n**2 - 5*n**2)*(-n + 4*n - n) - 2*n**2 + 2*n**2 + 2*n**3)*(n + n + 0*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = 3*k - 11*t + 276, 8 = -4*t. Let y = 618 - k. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.302 - 0.284. Let j = 7.7 + a. Let x = j - -0.356. What is x rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 11*s - 11*s - 945.\nAnswer: 2*s - 945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 2*w**7\/105 + w**6\/15 - w**4\/3 - 2*w**3\/3 - 2*w**2. Factor b(l).\nAnswer: 4*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w**2 + 8*w - 7. Let c be r(2). Which is bigger: -586 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -6 (c) 9\/4 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 187, 198, 209, 220?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h + 538. Determine l(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33794004.\nAnswer: 2, 3, 41, 68687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.2, -4442645?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let z(u) = -2*u**3 - 15*u**2 - 9*u - 78. Let v be z(-13). Let p(s) = 26*s**2 - 1898*s + v*s. Determine f(p(h)).\nAnswer: -2028*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 12*k - 11. Let m be j(10). Suppose 16*l - 11*l + 48 = 3*u, -4*u + 5*l = -m. Sort 3\/7, -2\/3, u in increasing order.\nAnswer: -2\/3, 3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 383540*n**2 - 91452452*n + 5444791212.\nAnswer: 4*(n - 119)**2*(n + 96123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(99)*-1 + -5 - sqrt(99)))**2 - (sqrt(99)*1 + -1 + -1 + (sqrt(99) - (sqrt(99) + 2)))**2.\nAnswer: 504*sqrt(11) + 3253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 509845 and 146020?\nAnswer: 303867620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 104. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11405102 divided by -247937\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 10) + (-15)\/18*(-87)\/(-20)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/4 - 915*b**2\/4 + 22907*b - 339669 = 0.\nAnswer: 18, 94, 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41271 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efamaaemaee. Give prob of picking 1 a and 3 e.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 140*d**4 + 95*d**3 - 2285*d**2 + 3520*d - 900 = 0.\nAnswer: -5, 9\/28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6356.997 - 6353. Let m = -4 + x. Let z = -0.205 + m. Round z to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.233381 and 10539346?\nAnswer: 10539346.233381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*z + 2*z. Let a = 5 + z. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 686*k**5\/55 - 196*k**4\/11 - 336*k**3\/11 - 160*k**2\/11 - 32*k\/11 + 49. Factor n(w).\nAnswer: 2*(w - 2)*(7*w + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/2 - 61*w**4 + 241*w**3\/2 - 60*w**2 = 0.\nAnswer: 0, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 21 = 4*f - 24, -40 = -4*q - 4*f. Sort -4, -2, q in ascending order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 + 2*c**3 + (-2*c + 4*c + 0*c)*(6 + 6035*c**2 - 2 - 6000*c**2).\nAnswer: 72*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685*u + 9317162 = 63*u - 13647934. What are the prime factors of u?\nAnswer: 2, 3, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 14. Let m(k) = k**3 + 18*k**2 - 3*k - 7. Let v be m(p). What is v rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 0, 34656, 10, -2.\nAnswer: -9, -2, -1, 0, 10, 34656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -90, -85, -78, -69, -58?\n\"Answer: y**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y, -2*u - 5*y + 17 + 11 = 0. Suppose -2*r + r - 264 = -u*w, 0 = 4*r - 16. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -111*s**3 + 2*s**2 + 4*s + 2. Is 4 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 + (-1)\/((-1)\/(-81)))\/(-1) and 1?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 64 = 2*z - 133 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p + 16. What is h(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 236, 785, 1854, 3617?\nAnswer: 6248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/133*(-574)\/984.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let q(r) = r**3 - 7*r**2 + 9*r - 10. Let u(c) = 6*m(c) + q(c). Let n be u(7). Let f = 0 + n. Calculate the lowest common multiple of f and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:26 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 + 1 = 0, -5*i = 2*y - 1394. Suppose i = p + p - r, r + 139 = p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374382*d**2*g**2 + 11*d*g**2 + 99*d + g**2 + 3 wrt d.\nAnswer: 748764*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 920 - 636. Let i = z + 391. Suppose 0*f - 12\/5*f**i + 0 - 3\/5*f**3 = 0. Calculate f.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81 - -ae03c?\nAnswer: adfbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + 5*l - 6. Let z be c(-6). Let h = 157 - z. Calculate the highest common factor of h and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1234.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:45 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 6*w**2 - 5*w + 5. Suppose 0 = 2*b - 8, -l + 3*b - 27 = -4*l. Calculate the lowest common multiple of s(5) and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 0.004, 0, -0.3, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408233 divided by -127.\nAnswer: -408233\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20226, -80799, -181730, -323019, -504666, -726671, -989034?\nAnswer: -1291755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.810896t?\nAnswer: 9810896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-98))\/((-564)\/987)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r*r**(2\/91)*r*r)\/r)*(r\/(r\/(r**5\/r)))\/r)\/(r**(-14\/11)*r**(-2\/25)) assuming r is positive.\nAnswer: r**(133402\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976965447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 5. Give p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*n + 7*j, -5*n + 18 = -59*j + 63*j. Let p = 47\/6 + -8. Which is the nearest to n? (a) 3 (b) p (c) 2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 32 + 22. Let p(z) = z + 23 - o + 0*z. Let n be p(-5). Solve n = -u + 4*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 59*i - 10. Let z be g(-7). Let w be (z\/210 + 2)*4*-5. Which is the nearest to w? (a) -1\/3 (b) -1\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 6. Let g be p(-3). Let s(a) = -7*a**2 - 2*a + 7. Let i(w) = 4*w**2 + w - 4. Let n(m) = g*s(m) + 5*i(m). Determine n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7 + 5*r - 15*r + 551*r**2 - 549*r**2 + 10. Let v be t(4). Solve -6*z = -v*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m - 30. Calculate the lowest common multiple of m and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 + 43 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7*a = -162. Let g = -54 + a. Solve -3*r + 5*l - 1 = g, 2*r + 0*r = 5*l + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o + 1. Let g be w(2). Determine j, given that -1 + 31*j**g + 2*j + 5*j**2 - 29*j**3 + 1 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4472246 divided by 3286.\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*a**2*c**2*t - 436537*a**2*c*t - a*c**2*t + a*t - 22000*a + 57*c**2*t + 3*c**2 + 2*c wrt a.\nAnswer: -84*c**2*t - 873074*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(21)\/sqrt(3) - (sqrt(1008)*1)**2) + (-2*sqrt(63)*-2)\/sqrt(9).\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 447860118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 8. Let y be t(1). Which is greater: y or -10\/17?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v. Determine n(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.1247 - -0.1197. Let w = u + 0.005. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -760*f*x**5 - 2*f*x**2 + 3925*f*x + 2964*x**6 + x**2 - 3*x + 1 wrt x.\nAnswer: -45600*f*x**2 + 355680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107577 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbmj when four letters picked without replacement from {v: 4, j: 1, m: 1, t: 1, k: 2, b: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 15 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let s(p) = 3*p**2 - 5. Let x(u) = -2*u**2 + 3. Let w(v) = -3*s(v) - 5*x(v). Let j be w(h). Is 1\/2 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151 + 785*u**5 + 0*u**2 + u - 343 + 0*u**2 + 155 wrt u?\nAnswer: 15700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -18. Solve -z = -7*s + 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ddbcf (base 16) to base 6.\nAnswer: -31244451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4355986 - 4364371.957. Let l = 8405 + f. Let n = 19 - l. What is n rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.4, 1, -3\/4, 3, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7527769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32207\/6 - 5343. Calculate the common denominator of -95\/1278 and r.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54068, -216291, -486662, -865181, -1351848, -1946663, -2649626?\n\"Answer: -54074*j**2 - j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*188\/(-32))\/(26\/16*(-64)\/(-416)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219496117\/535 + 410273. Calculate the common denominator of 167\/30 and m.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57 and -668543348.9.\nAnswer: -668543405.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15005414.\nAnswer: 2, 7502707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k\/k**(1\/3))\/k*k*k)\/k)\/(k\/(k*k**(-4\/7))*k))**36 assuming k is positive.\nAnswer: k**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 5432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = -g + t, -5*g + 14 = -2*t. Suppose l - g*l + 18 = 0. Solve 2 + l = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318710 divided by -22?\nAnswer: -196305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:10 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-88)\/816 + (-50)\/(-75).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:15 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-500)\/160 + 0 + 3. What is the closest to -2 in -0.4, -3\/4, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + x + 3776, 0*x = -2*x. Suppose 33*n = 37*n - z. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2\/7 (c) -16\/35 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05145 minus 36?\nAnswer: -36.05145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -105\/4358?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - (3 - -9))*(-3187 + -1). Suppose 81*g - 89*g + q = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111.4682 - -0.5318. Is -1\/8 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:45 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r*r)\/r*r**(-3)*(r**(1\/2)*r)**(-8\/5) assuming r is positive.\nAnswer: r**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-1 - 26\/(-10))\/((-4)\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from xqqyyqyyxxqwq.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w. Suppose 4*y - 3 = i, 4*i - 22 = -w*i - y. Solve 5*p + 6 = -4*m, -i*p - 4 = 5*m + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.00000065 - 13. Round h to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**3 + 44*s**3 + 7 - 7.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 585*u**4\/7 - 5871*u**3\/7 + 18930*u**2\/7 - 19392*u\/7 + 96 = 0. What is u?\nAnswer: 7\/195, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*b - 739 = -0*b, b = -4. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**3 - z**2 - 13073 + 13073 + 3*z**4 - z as x*z + y*z**4 + p*z**2 + l*z**3 + u and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/3 + 490*v**3 + 2958*v**2 + 13330*v\/3 + 1976 = 0.\nAnswer: -4, -1, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (93 - 95)\/((-2)\/4). Let y(g) be the second derivative of -8*g + 1\/30*g**h + 1\/15*g**3 + 0 - 2\/5*g**2. Factor y(p).\nAnswer: 2*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpu when three letters picked without replacement from mowmpuwmmnomwww.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7))\/o**(-4))**(1\/38) assuming o is positive.\nAnswer: o**(-1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*r = -4*r + 2, -r + 2 = 5*x. Solve 0 = -w - x*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and 53\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71647711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert eabe3 (base 16) to base 8.\nAnswer: 3525743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 826 + -470. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -626 + 661. What is the third smallest value in z, -0.4, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93\/217 - 29324\/(-14).\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 205\/4. What is the nearest to 2\/3 in -4, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 0*i - 40*i**2 + 0*i.\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2723 - 2747 - (12 - 0).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 1 in descending order.\nAnswer: 1, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 84*c - 1764.\nAnswer: -(c - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48636490 rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 w, and 1 x when four letters picked without replacement from {x: 1, w: 2, c: 2, v: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1350, 99 in decreasing order.\nAnswer: 1350, 99, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -90*n - 2. Let f(q) = -2*q. Determine f(i(j)).\nAnswer: 180*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqd when four letters picked without replacement from {j: 3, q: 2, d: 10}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 5. Let w(q) = -14*q + 15. Let p(n) = 6*w(n) - 17*y(n). Let u be p(-6). Let f = -8 + 13. Which is the smallest value? (a) f (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-8\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53207455.\nAnswer: 5, 7, 1520213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1188 and 271?\nAnswer: 321948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 10*j - 172. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhdhhhhddhhdhhdd. What is prob of picking 2 d and 1 h?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 - c**4\/6 - c**3\/6 + c**2 - 4*c. List the prime factors of k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r + 58. Let k(z) = 1411*z - 12 - 1405*z - 17. Let l(u) = 5*k(u) + 2*p(u). What are the prime factors of l(13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-74) + (-224)\/74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Let c = -1242 + 887. Let k = 355 + c. What is the third smallest value in -3, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 40. Let q(w) = 65*w - 440. Let u(m) = -45*l(m) + 4*q(m). Let v be u(4). Solve -x - x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3470, -557, -4, -1, 5 in descending order.\nAnswer: 5, -1, -4, -5, -557, -3470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54.19517l?\nAnswer: 54195.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:40 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5554?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6, 3*n - 1683 = -d - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2820.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, 2\/13, -4\/85, 2.1211?\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 520631960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bryryjxryrrrjbrjrr. What is prob of sequence rxj?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/222720 and 53\/184884.\nAnswer: 3431447040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 361. List the prime factors of h.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*o - 40. Let d = -1538 - -1916. What is the highest common divisor of o and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 158?\nAnswer: -14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 1, c: 4, w: 4, v: 9}. Give prob of picking 2 v and 1 f.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 2, o: 1}. What is prob of sequence ok?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - h - 10 = 0, -2 = -2*z - 5*h - 8. Solve 0 = -3*a - z*t + 6, -a + 4*t + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 72.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3325894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*u**3 - 34*u**3 + 0*u**2 + 2 + 5*u**2 to the form b*u**2 + p + i*u**3 + t*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.44195136 rounded to 1 decimal place?\nAnswer: -32.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.514268 rounded to 2 dps?\nAnswer: 14.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/33*(-45)\/(-6) and (2\/3)\/(105\/714)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4511*h = -4508*h - 5, 0 = 4*d + 16*h - 40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1084345)\/1190)\/((-2)\/28) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6550*b. Let p(d) = -2*d**2. Give p(n(o)).\nAnswer: -85805000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2*n + 88775*n**2 - 87350*n**2.\nAnswer: 1425*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-52)\/44 + 21 + -23. Which is the nearest to 0? (a) m (b) 1\/3 (c) 0.3 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -1\/3 (c) -0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58671?\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 595 + -6?\nAnswer: 58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -133*g**3 - 65*g**2 + 12*g + 21. What are the prime factors of b(-5)?\nAnswer: 3, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1595, -6320, -14197, -25226?\nAnswer: -39407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*x + 35*x + 44*x**3 - 193*x**3 + 43*x.\nAnswer: -149*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 200893741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -8 + 9 + -28\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 45445\nAnswer: -22722.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v**2 - 3*v + 2. Let w = -200 - -242. Suppose 15*o - w - 3 = 0. What is g(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 - -634.4. Let g = -123.638 - -0.638. Let z = g - d. What is the biggest value in 4, -2\/3, -0.3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 2160 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 7 - 49. Suppose n*t - 75 = 9*t. Suppose -9*o + 14*o = t. Solve 3*h - 5*j - 25 = 8*h, 9 = o*h - 5*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.657223 weeks to milliseconds.\nAnswer: 2816688470.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 3*s + 3*s + (4*s**3 - 12*s**2 + 12*s**2)*(-3 - 2 - 3) - 2*s**3 + 0*s**3 + 7*s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784 < 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -168, -2\/3, 5 in ascending order.\nAnswer: -168, -1, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 45 = -0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23242 = -19*r - 4299. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/9 - (55\/(-10))\/(27\/(-30)). Let l(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 5*v**2\/2 + 7*v + 5. Calculate l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(33\/(-24)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*c, 0 = c - 5*c - 16. Suppose 2 = 6*l - 5*l. Suppose -3*q - l*q + 4*t = -7, 2*t + 9 = -3*q. Sort n, 1, q in decreasing order.\nAnswer: 1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 164*s**2 + s - 23. Let n be h(-6). Suppose 2*x - u - n = 0, -3*x + 5796 + 3018 = -u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5931998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53053754 divided by 167362?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5651681\/53932 - 12536\/139. Let v = o + 14\/97. Calculate the common denominator of 0 + 7\/(-20) - 2 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**2 + 1477*i**3 + 1230*i**3 - 2484*i**3 in the form v*i**3 + c*i**2 + u + n*i and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 150*s**3 - 1275*s**2 - 3000*s.\nAnswer: -3*s*(s + 5)**2*(s + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24001614, -48003231, -72004848, -96006465, -120008082?\nAnswer: -144009699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-50)*(b**(-1))**(-11)*((b*b*b*b\/(b*b**(-2\/3)*b))\/(b*b**(-6\/5)))\/((b*b\/b**(1\/5))\/(b*b**(-5))) assuming b is positive.\nAnswer: b**(871\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 20*t**2 - 24*t + 8. Let a be j(21). Let x = -101 - a. Let p = x - -64. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7628.\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2705587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338601185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -0.178 (c) 1 (d) -3\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 71*z**2 + 33*z + 27. Give k(-36).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263, -250, -1533, -3586?\n\"Answer: -385*j**2 + 642*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -65. Let v be (-79)\/2 - p\/(-2). Is v bigger than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from bfqqffbffqfffqq?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 5198.8?\nAnswer: 5199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4314, -6073, -7832?\nAnswer: -9591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 4590.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 20 = -9*y. Put -6, -4\/3, y in descending order.\nAnswer: -4\/3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/(-175)*(-140)\/(-6)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 3*d**3 - 6*d**3)*(1 - 4 + 1)*(45*d - 13*d + 7*d) - d**4 - d**4 + 4*d**4.\nAnswer: 626*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x + 765 + 405 = -660 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-25)\/((w*w**1)\/(w**(3\/5)\/w)))\/((w**(2\/5)*w\/(w\/(w\/(w\/(w\/(w**0\/w*w))))))\/(w**(2\/5)\/w)**(-9\/7)) assuming w is positive.\nAnswer: w**(769\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23942, -95755, -215444, -383009, -598450, -861767?\nAnswer: -1172960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 times 7?\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2009, 4018, 6015, 7994, 9949?\n\"Answer: -l**3 + 2016*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105*y - 30*y + 2 + 59*y)*(2*y**3 - y**3 - 5*y**3) to x*y**3 + q*y**4 + l*y**2 + c + r*y and give q.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -301, -1274, -2891, -5146, -8033, -11546, -15679?\n\"Answer: p**3 - 328*p**2 + 4*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t - 16 = 0, 0 = 2*m - 2*t + 4. Let p = 233 + -1627\/7. Factor 10\/7*n**4 + 6*n**m + 34\/7*n**3 + 22\/7*n + p.\nAnswer: 2*(n + 1)**3*(5*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 24*h**3 - h + 1. Let w(n) = -n**2 + 5*n - 5. Let a be w(4). Let u be a - 2\/2*-2. Is 19 a factor of s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -17 + 9 - 7 - (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 2:07 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 366.832 + -0.1313009\nAnswer: 366.7006991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108040 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - o + 0 + 0 + o + (1 + 0 + 1)*(2*o - 1 + 1) - 5*o + 2*o + 2*o + 0 + 0 + 6*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 39. Let n(p) = -2*p**2. Let m(q) = 2*q - 15. Let c be m(11). Let u(v) = 6*v**2. Let f(y) = c*n(y) + 2*u(y). Give a(f(s)).\nAnswer: 4*s**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - 5 + 3*a + 1 - 2*a**2 + 0*a**2 + a**3. Let c be v(2). What is the third derivative of 11*n - n**c - 4*n**2 - 11*n wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Determine i so that 22*i**5 - 304*i**4 + 736*i**3 - 604*i**2 + 106*i + 44 = 0.\nAnswer: -2\/11, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 - 4*z**3 + 0*z**3 - 4*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 6*d + 4*d)*(8309 - 4155 - 4156 - 28*d).\nAnswer: 56*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232706207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 41, 49, 59, 71?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155175767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2. Let s(k) = -157*k + 3 + 2 - 405*k - 4 + 35*k. Determine i(s(n)).\nAnswer: -1110916*n**2 + 4216*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25088 divided by 2254\nAnswer: 256\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369646376.00639 - 369647918. Let n = -3643 - -2101. Let k = i - n. Round k to 4 decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, 0.4, -0.215?\nAnswer: -0.215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3\/(-3)*-1. Let i(q) = -q**3 - 20*q**2 - 2*q - 490. Let b be i(-21). Put b, o, -5 in descending order.\nAnswer: o, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 36*y. Let q(u) = -4*u. Let c(d) = d**2 + 17*d + 39. Let i be c(-14). Calculate i*r(p) - 28*q(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46831408 = -36*c + 456448592. Round c to the nearest one hundred thousand.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78240 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-15)*90\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2093*f + 4190*f + 9 - 2100*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3975 is divided by 3969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 968.4023ns?\nAnswer: 0.0009684023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118170 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 107923303.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*(a\/(a**(-2\/3)*a))\/a*a)**(-3\/2)\/((a**(-2\/5)\/a)\/a)**44*(a\/a**(-2))**(3\/5)\/(a**(1\/3)*a**7) assuming a is positive.\nAnswer: a**(2837\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2253 + -2029. What is the highest common divisor of 1008 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*w + 3 - 7, -2*w + 28 = 5*l. Suppose -2*z + 101 = -l*m - 349, 3*z = -2*m + 675. Suppose -2*q + 189 = 2*d - z, 5*q + 20 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 a, and 1 s when four letters picked without replacement from scsacacawcswaas.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 6) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.98 - 0.02. Let o = 0.3 - 0.5. Which is the third biggest value? (a) l (b) -1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) + (-26)\/(-36). Let n(y) = y - 4. Let g be n(0). Let l be 57\/9 + -2 - 3. What is the nearest to 1 in s, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*m**4 - 356 wrt m.\nAnswer: -328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6474 and 21.\nAnswer: 45318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1086*g**3 + 1086*g**3 + g**4 + 46 - g wrt g.\nAnswer: 4*g**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185383 divided by -4?\nAnswer: -1185383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**7\/168 + y**6\/36 - y**5\/24 - 10*y**3\/3 - 16*y**2. Let l(h) be the first derivative of k(h). What is n in l(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -13 (b) -1\/2 (c) 2\/11 (d) 17 (e) 2\/5 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 458, 736, 1200, 1850, 2686, 3708?\n\"Answer: 93*q**2 - q + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100220 - 0?\nAnswer: -100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 2. Let b be z(-2). Let l = 8 + b. Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -j - 24, 4*j = 3*f - 26 - 19. Let u = j + 19. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*b**2 + 633 - 633 + (b**2 - b**2 + 2*b**2)*(6 - 4 - 3))*(b - 4*b + b) + 159*b - 21*b**3 - 159*b.\nAnswer: 51*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 55. Calculate the lowest common multiple of 4 and d.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2274 + 402 = 0. Suppose 0 = -8*h - o + 1486. Calculate the remainder when h is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*u - 30, 4*u + 3*t + 7 = -25. Let v = 4513.9 - 4514. What is the nearest to 36 in -0.3, 0.5, v, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - (-4)\/6. Let s be 36\/(-10) - 28\/(-7). What is the smallest value in y, s, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1520700.\nAnswer: 1520700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8, -a - 3*m + 10 = -4*m. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 908.2514 centimeters?\nAnswer: 9.082514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -31*a + 21185. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 + 2718132*j**3 - 64163742*j - 1 wrt j?\nAnswer: -36*j**2 + 16308792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68311, -71941, -75569, -79195, -82819, -86441, -90061?\nAnswer: -93679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 21 = 31. Let o(c) = 12*c**2 + c. Let x be o(a). Calculate the greatest common divisor of x and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*-1*(0\/4)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b6e + -331e?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = 2*d, 23*b - 1308*d + 10 = -1310*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*m + 1513978 = 3*d - 238*m, d = 3*m + 504676. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/4419 and 10\/9.\nAnswer: 4419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38963842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 40 = -134. Let q(h) = 25*h**2 + 11*h + 11. Let s(p) = 5*p**2 + 2*p + 2. What is j*q(n) + 33*s(n)?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 6*s + 9*s + 0*s + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*a + 221*a + 80 = 435*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1046, 1\/5 in decreasing order.\nAnswer: 1046, 3\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 o, and 1 w when four letters picked without replacement from {x: 1, b: 6, w: 6, o: 3, f: 1}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139959, -139916, -139807, -139602, -139271?\nAnswer: -138784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -5767616.8911.\nAnswer: -5767616.8911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*h. Is 512\/h + 0 + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19363*c**2 - 20159.\nAnswer: -38726*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*s = 4, 3*p - 2*s - 16 = 2*s. Put p, -3, -1 in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**3 + 2*i**2 - 2*i - 3. Suppose 2 = -4*q + 3*q. Is f(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -28*11\/88.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/888 and -93\/4366?\nAnswer: 52392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 3582621?\nAnswer: -179131.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57863*i + 3381 wrt i?\nAnswer: 57863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 0 + 1 + 1 + 1. Give a(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3889 - 439. Calculate the highest common divisor of m and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43 + 1599*m**4 + m - 1600*m**4 + 27 - 52*m**5 wrt m.\nAnswer: -1040*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Suppose -3*f = -2*k - 2 - 0, 5*k + 5 = 4*f. Let y(i) be the third derivative of 0*i + i**2 + 0 + 1\/8*i**4 + f*i**3. Give y(o(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 15, 3*o - 250 + 71 = -5*d. Suppose -3*k = -9*k + 594. What is the remainder when k is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -192. What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - w - 2*w + (-4*w + 6*w - 3*w)*(-48 + 36 - 53) + (-2*w - w + 6*w)*(0 + 3 - 1) - 2 + 2 + w - 2*w - 3*w + w.\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 33*b**2 - 2*b + 35*b**2 - 19*b**3.\nAnswer: -19*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 11 - 48 + b in the form r*b + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1062309 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/15)\/(3\/10). Let f be (g\/(-4))\/(6\/(-16)). Let y be (-8)\/f - -7*5. Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262312 * -54\nAnswer: -14164848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (3*(sqrt(2448) + (1*(sqrt(2448)*-2 - sqrt(2448) - sqrt(2448)) - sqrt(2448)) + sqrt(2448) + -4 + 0)*1)**2.\nAnswer: 2592*sqrt(17) + 198432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-5)*1720\/48. Let b = -608\/21 + h. Is 3 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -37162*n. Let d(w) = -5*w. What is d(p(u))?\nAnswer: 185810*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -208, -762, -1664, -2908, -4488?\n\"Answer: z**3 - 180*z**2 - 21*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:21 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.258 * 91.\nAnswer: -23.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 4*z + 6. Let h be l(5). Let s be (-2 - 0 - -4)*h. Solve 7 = s*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 23, 74, 177, 350, 611, 978, 1469?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 8*b**4 - 6*b**4 + 0*b**2 - 1 + 3*b**2 as i*b**4 + k*b + o + r*b**2 + n*b**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001120547196 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-46)\/8 - (-29)\/116. Solve -s*t + 14*t + 40 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 244*o - 734. Let d be v(-3). Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (8227\/(-1216) - 2\/8). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3129*j - 37527. What is h(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 296, -10 in decreasing order.\nAnswer: 296, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48788008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 38. Solve 4*r - 2*q - 7 = 9, n*r = 5*q + 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.25 * 1.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -79. Let i = 42 - b. Let y(h) = 70*h + 7. Let j be y(i). What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -570851*h + 2227519 wrt h.\nAnswer: -570851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607913101*n**3 + 750794428*n**2 wrt n?\nAnswer: 3647478606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhyyhhdhhhhyr. Give prob of picking 2 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 124*m - 3412. Give q(24).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*b + 88, -38 = -3*w + 4*b + 48. Let f = w + -16. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, 1, -5, -0.5, -4\/5, 2.69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) + (-1440)\/(-2295). Which is the fifth smallest value? (a) 0.05 (b) 3 (c) k (d) 0.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.3. Let l = 69.4 - 69.9. What is the closest to 1 in d, l, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 2*m + 3\/2.\nAnswer: (m + 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 171444.6924 and 0.53.\nAnswer: 171445.2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*a = -330*a + 400. Let x = -4 + 6. Solve -x*h = 2, 5*h = -y - 0 - a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3386.4 and 2.\nAnswer: 3388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/2 (b) -1\/4 (c) -16 (d) -2 (e) 537 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -918 - 3177. Calculate the greatest common divisor of 65 and u.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282 and 102?\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/30 + 223*x**4\/12 + 3065*x**2. Factor f(p).\nAnswer: 2*p*(p + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13595234?\nAnswer: 2, 83, 81899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*i = -38, -5*z + 2*i - 1282 + 2505 = 1245 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-4) - 1)*-1. Let n = -17 - -27. Let a = -4 - -6. Solve -j*t + 2*r = n, 2*t - a + 12 = -r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/50)\/(1\/(-40)*56).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 15*h + 30. Let b be g(5). What is the hundreds digit of ((-21)\/(-14))\/(b\/510)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*8\/(-12). Let t(d) = 125*d**2 - 1. Is t(k) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201*n**2 + 36 - 52*n**3 + 80*n**3 + 276*n - 29*n**2.\nAnswer: 4*(n + 3)**2*(7*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.98 + -54.32. Let l = 67 + m. Let p = 2\/79 - -75\/158. What is the nearest to p in l, -3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 0.00138?\nAnswer: 0.59862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 - a - 2 + 18 - 3*a**2 - 3*a = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 2. Let f = 12 - c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763693.5 days in microseconds?\nAnswer: 65983118400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6146\/17 - -10102001\/27948. Find the common denominator of c and -83\/21.\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -3*u, -6*u + 2*u - 12 = -4*g. Calculate the greatest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o - 2*s = 24, -4*o + 2*s = -30. Suppose y + 3 = -38. Let g = 76 + y. What is the remainder when g is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6003*d + 11934*d + 1 - 5974*d - 1.\nAnswer: -43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -107\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from pqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*27\/18*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 73 + 259 = 5*y, -5*y = 3*s - 329. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {u: 1, h: 4, p: 1, z: 4, c: 4, r: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 22 - (748 + -717).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 88615, 1232?\nAnswer: 88615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 13*i**2 - 5*i - 1. Let n be y(6). Put 4, -3, n, -7 in ascending order.\nAnswer: -7, -3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 179*z + 1079. Let q be g(-6). Solve -q*k - 7 = 4*h, 11 + 9 = -5*h + 5*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (-10 + -14)) + -5 + (-6 - (-7 + 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 822609 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 231100 divided by 57775\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4256 + 0.12\nAnswer: 4256.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 858*f**3*h**2 - 2*f**3*h*j + 2*f**2*h**2 - 5*f**2*h*j + h**2*j + 127*j wrt f.\nAnswer: 5148*h**2 - 12*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 19, -2, -195\/7, -0.2?\nAnswer: -195\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36\/5? (a) -1 (b) -2\/107 (c) 4 (d) 6 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/20*(9 - 7))\/((-9)\/48)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let w(q) = 5*q + 7. Let i(g) = 4*a(g) + w(g). Let y be (-3)\/(-5) + 52\/(-20). Let f be (6 + y)*(-1)\/(-2) - 6. Calculate i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.118 + -110.118. Let i = -110.3 - p. Which is the nearest to -1? (a) i (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*h + 180*h + 188*h + 216*h + 36 to q*h + j and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-126)\/98)\/(6\/(-28)). Calculate the greatest common factor of f and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3499929?\nAnswer: 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 1 - (-10)\/2. Let n = 6 - -26. What is the greatest common factor of c and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 4*t - 2, 11*m - 1830*t + 914*t + 912*t = -227 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + 2*a. Let t(w) = 3*w**3 - 3*w. Let n = 25 + -27. Determine n*t(k) - 3*q(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*h + 3714084 = 87*h. What are the prime factors of h?\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-10) - ((-3564)\/40)\/(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88.4 - -88. Suppose -9*c = -81 + 27. Suppose -3*x - 4*z = -0*x + c, x = 3*z - 2. What is the fourth smallest value in 21, 2\/7, k, x?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(1 - -2) + -4. Suppose 7*c - b*c + s - 596 = 0, 4*s = 4*c - 496. Suppose -2*i = -c + 40. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.0691 (c) 6 (d) -4 (e) -0.1 (f) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-500)\/32*(-4)\/10*(-8)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -19. What is the remainder when 21 - ((-2)\/1 - -1) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(80) + (-1 + -2*sqrt(80))**2 + 0.\nAnswer: 32*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 3*q + 2. Calculate s(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025712.\nAnswer: 2, 3, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 261377031 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*q**2 + 9*m**2*q - 2*m**2 - 42*m*q**5 wrt q.\nAnswer: 2*m**2 - 840*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1090, 0, -3619?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 2, w: 1, g: 3, e: 1}. What is prob of picking 1 k and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005507 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2612 + 10381\/4. Find the common denominator of 21\/106 and d.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**2. Suppose 149*s - 73*s - 85*s = -153. Let b(i) be the second derivative of -5\/12*i**4 + 0 + s*i + 0*i**2 + 0*i**3. Give b(c(p)).\nAnswer: -245*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4297664, 8595327, 12892990, 17190653?\nAnswer: 21488316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 9. Let o(m) = m**2 + 7*m + 9. Let i be o(w). Suppose -i*l + 3*b - 9320 = -b, -9280 = 3*l + 4*b. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/8 - 7547*g\/8 + 26439\/4.\nAnswer: -(g - 7)*(g + 7554)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-4 + 23)) + -5 - (-12 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 23*w**2 + 3. Let l(y) = y. What is l(v(g))?\nAnswer: 23*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-36))\/((-1)\/(-32)). Let u = 85 + q. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 2939*q + 173 - 47 - 41 - 49.\nAnswer: -2939*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v + 2. Let h be f(0). Suppose -72 = -h*k - 7*m + 4*m, -2*m = -5*k + 142. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 177?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from chchhhhhhhchhchchc.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5352 and 39517830.\nAnswer: 158071320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 62 + 145 - 4 - 79.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-578)\/14 + (27\/21 - 1). Let y = 66 + g. Solve 5*b = -y - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*f - 12 + 2\/3*f**2.\nAnswer: 2*(f - 2)*(f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/48 and 9\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*p**2 - 93*l**2*p - 127940*p**2 + 195*p wrt p.\nAnswer: 4*l**2 - 255880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024983 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/20 - d**3\/6 + 9*d**2\/2 + 12. Let r(s) be the second derivative of i(s). What is the first derivative of r(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + 1 - m)*(-1 + 2*m + 1) + (-3*m + 0*m + m)*(-7118 + 7118 - 59*m).\nAnswer: 116*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 - 2*v - 5. Let s be i(6). Suppose q + s = -k - 3*q, 5*k + 3*q + 180 = 0. Let y = -28 - k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/16)*f)\/f*f**(-1\/3)*(f\/(f**5*f))**(-42) assuming f is positive.\nAnswer: f**(10067\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19019395?\nAnswer: 5, 3803879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -272121.\nAnswer: -167\/272121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8842151.\nAnswer: 8842151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 88 = -l. Let y be (-4 - -3)\/(2\/(-46)). Let k = l - y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -487.\nAnswer: 194.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let a be m(2). Let w(u) = 11 + u + 3*u + a. Calculate the remainder when w(12) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**10\/25200 - u**9\/6300 + u**8\/5600 + 13*u**4\/2 - 34*u**2. Let d(g) be the second derivative of h(g). Factor d(x).\nAnswer: 6*x**3*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 30 - 34 - 91*h + 93 - 57*h to the form a*h + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3343 - -0.6?\nAnswer: -3342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34854)\/1036)\/157)\/((-12)\/7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304355 (base 6) to base 3.\nAnswer: -1020101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = 3. Suppose 0 = j - u - 6. Solve 5*d + 1 = 3*q, 2*d = -0*d + 5*q - j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82499893 divided by -82499893?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q = -65*q - h - 7, 0 = 4*q + 2*h - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f + 9 = -47*f + v, 4*f + 2*v + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, 0.8 in decreasing order.\nAnswer: 0.8, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -22327811604518?\nAnswer: 22327811604514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47352509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 12:25 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1774004745?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + q + 96*q**3 + 2 - 42*q**3 - 36*q**3 in the form b + m*q + x*q**3 + f*q**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(3\/(-4))\/(165\/2530).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -32*p - 104. Let l(z) = -2*z + 0*z - z + 4. Is l(p) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2873, -7097, -11321, -15545, -19769?\n\"Answer: -4224*j + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11254 - 7361. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 9*v - 8. Let u be g(-8). Suppose -2*l + q + 11 = -113, -2*l - 2*q + 118 = u. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 63*p + 4426. Let j be o(-70). What is the highest common factor of 484 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 92 = 4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 108 + 22*l + 50 - 4 + 4 - 2*l + (-2*l + 5*l - 4*l)*(2 + 0 - 3) + 1 + 2*l - 1 - 2*l - 3*l + 8*l.\nAnswer: 26*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 = -3*y, 0*q + 38 = 3*y - 4*q. Let o be -2*(-3)\/(-8)*(-10 - -6). Sort y, o, 2.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -62.52. Let m = d + 2.4. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1110004104?\nAnswer: 1110004113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35891*i*l**2 + 311*i*l - 84009*i + 90 wrt l.\nAnswer: -71782*i*l + 311*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/1895?\nAnswer: 3\/1895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3537 - -11066. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (400\/3)\/(-16) + 7\/1. What is the nearest to -2 in -0.5, 2.9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 21 = -14*d. Determine m, given that 27*m - 8*m**4 - 18*m**d + 13*m**5 - 7*m**5 - 7*m**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1762010159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4781 and 6489866?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 33*u**2 + 31. Suppose 0 = -2*x - 3*j - 47 - 10, -4*j = -5*x - 177. What is the units digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 3, 5, 2, 25.\nAnswer: 0, 2, 3, 5, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1971*t**6\/10 - 2183*t**4\/12 + 6*t - 216. What is the third derivative of d(a) wrt a?\nAnswer: 141912*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:02 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*q + 87*q - 504. Calculate the smallest common multiple of q and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -518, -719, -876?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*c**5 - 80*c wrt c?\nAnswer: -1740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389447914?\nAnswer: 2, 23, 8466259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 3*w - 3)*(7 - 3 - 3).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 17\/(170\/(-80))*-2.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -72*((-36)\/8 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 3, z: 3, m: 2, a: 2, t: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:14 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(396) + sqrt(396)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 19*l + 337. Determine q(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8049884 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9739418, 19478841, 29218270, 38957705, 48697146, 58436593?\n\"Answer: 3*b**2 + 9739414*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 0.32 (b) 0 (c) -1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*j - 36009 - 1478, -3*s = 5*j - 112421. What are the prime factors of s?\nAnswer: 11, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/5598 - 63521\/3582720. Calculate the common denominator of -47\/6 and w.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 22.9. What is the nearest to 0.1 in -2\/11, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 191*k. Let w = 5 + -4. Is m(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.96 and 0.07.\nAnswer: 0.2072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.023315 and 17.\nAnswer: 17.023315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/(-8)*4\/(-8). Let c be (-10)\/(-45) - (136\/j)\/4. Solve 4*o = i + 17, -5*o - i = -c*i - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4 + 212*o**3 + 968*o**2 + 1296*o + 2376. Factor u(d).\nAnswer: -4*(d - 162)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*k**2 + 112*k - 243*k + 131*k + 556*k**2.\nAnswer: -62*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-13 - (-298)\/23). Which is the closest to h? (a) 1 (b) 2\/13 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let x = z - -0.9. Let y = x - 0.3. What is the second biggest value in 0.5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/474 and -77\/32.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = 5*a, -h + 9 = 5*a - 10. Let x = a + 25. Calculate the greatest common factor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391740 a multiple of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/9 (b) 0.11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 479\/24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-5)*(-1)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + -99)*(-21)\/(-9). What is y rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 42, 0, -5, 3 in descending order.\nAnswer: 42, 3, 0, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/(3*(-4)\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8151652 micrograms to kilograms.\nAnswer: 0.0000000008151652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1.7 (c) -0.4 (d) -2\/11 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505 divided by -7.\nAnswer: -505\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 77 = -22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 3:44 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 9*i**4 + 24*i**3 + 16*i**2.\nAnswer: i**2*(i + 1)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/y**19)\/y)\/y)*y)\/(y\/(y**(3\/7)*y))*y\/(y\/(y\/y**(-9))*y*y)*(y**(-10)*y*y)\/y assuming y is positive.\nAnswer: y**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.2870212.\nAnswer: 0.02870212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12875, -119, 2, -6 in ascending order.\nAnswer: -12875, -119, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 12 = 0. Suppose 6*y - 4*y - n + 5 = 0, 4*y = n - 13. Let s be (-8)\/y + (-32)\/14. Which is the third biggest value? (a) -5 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.62, -167, 1\/2 in descending order.\nAnswer: 8.62, 1\/2, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 8443\/6 + (-16)\/96. Is d\/(-9)*(-17 - -14) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p - 8 = 0. Let o = 7 + p. Find the third derivative of -2*f**2 - 5*f**5 - 2*f**5 + o*f**5 + 6*f**2 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 402172*q**4 - 20*q**3 - 16273202.\nAnswer: 1608688*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1616266956 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 276\/(0 + -12)*1\/(-1)*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3586249.99999 + -3586235. Let n = 1384 + -1399. Let p = o + n. What is p rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -81, -165, -249, -333, -417, -501?\n\"Answer: -84*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(25\/(-9))*(-1155)\/99\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15420*l - 30823*l + l**2 + 15403*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4955 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 14\/5*o**5 + 0*o**4 + 22\/3*o**3 - 219 + 0*o - o**2. What is the third derivative of n(z) wrt z?\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, 0.81, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 17839974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from jljl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**17*u**(-9\/4))\/(u**14*u**(-2\/3)))**(-42) assuming u is positive.\nAnswer: u**(2653\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.076 + 1.07599271. What is r rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:45 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 19*h**2 + 16*h + 28. Suppose -21 = -5*r + 69. Let q be x(r). Sort 2, -5, 1, q in ascending order.\nAnswer: q, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/3 + 9*a**3 - 52*a**2 + 332*a\/3 - 80.\nAnswer: -(a - 20)*(a - 3)*(a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfffgffflffllflgull. What is prob of sequence fgul?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 59, 75, 75, 53, 3, -81?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/(w\/w**(-5\/4))*(w\/((w\/w**1)\/w))**(-10\/13) assuming w is positive.\nAnswer: w**(-509\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4*f - 4, -f + 4 = 6. Sort -5, 19, 4, j in ascending order.\nAnswer: -5, j, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b**5)\/(b\/b**(-2)*b*b*(b\/b**(5\/6))\/b)*(b**(4\/3)*b**(3\/4)\/b)\/(b**(1\/2))**(-46) assuming b is positive.\nAnswer: b**(3313\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -617\/15. Sort 5, o, 3 in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - l - 6)*(5*l - 4*l - 2*l) in the form s*l + c + h*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**7\/14 + 49*x**6\/6 - 375*x**4\/2 - 2*x + 908. What is the third derivative of h(t) wrt t?\nAnswer: 180*t**2 + 5880*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 6) to base 10.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.4 + 30. Let o = -2 - -2.5. Which is the closest to 1\/2? (a) o (b) 3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14933444359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1258 + -4?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*r - 29424 = -173*r - 917*r + 438*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let y(m) = 2*m**2 + 10*m + 8. Let s = -10 + 19. Suppose -s*h = -5*h - 4. Give h*y(d) - 8*j(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -744 - -758. Let s(q) = q**3 - 11*q**2 - 19*q + 13. Is s(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 114737*d**3 - 3*d - 114768*d**3.\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/515, 4, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -25 - 139. Let m = 88 + q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 926585 = 926581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2877, -5984, -9091, -12198?\nAnswer: -15305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110.1528ng to kilograms.\nAnswer: 0.0000000001101528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3360 + 246 = 6*b. Let w(p) = 325*p - b*p + 331*p. Let g(r) = -r**2. What is w(g(c))?\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 7:13 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**2 + 0*o**3 - 1\/105*o**7 + 0*o**4 - 1\/20*o**5 + 0*o + 0*o**6 + 0. Find the third derivative of a(w) wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1898618.599938 - -1898622. Let d = 3.4 - f. What is d rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 4. Suppose 0*k + k - 3 = 0. Let l be (9 - k)*2\/4. Let f(p) = -2*p**2 + 3. Determine l*g(x) - 4*f(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3452 - 3457 = -10*m + 3*d, 5*d = -m + 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009337557 to 7 decimal places.\nAnswer: 0.0000934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5 + -26?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*c*n**3 - 81*c*n**2 - 2*c wrt n?\nAnswer: -678*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.8 + 13. Let g = 0.098 + 0.902. Let j = -1\/27 + -5\/27. What is the nearest to g in d, j, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-488 - 3754*b**2 + 7510*b**2 - 3754*b**2)*(0*b - 2*b - b + (2 + 0 - 3)*(2*b - 5*b + 2*b)).\nAnswer: -4*b**3 + 976*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 0*j**2 - 5*j - 5*j**2 + 6 + 2*j**2. Let o(m) = m**2 + m - 1. Let n(u) = i(u) + 3*o(u). Does 18 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/3 + 98*a**2 = 0.\nAnswer: -147, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5\/14, 30, 0.06, 0.13 in descending order.\nAnswer: 30, 0.13, 0.06, -5\/14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(52)\/sqrt(4) + 3 - (sqrt(468) + 1 - (sqrt(65)\/(sqrt(25)\/sqrt(5)))**2).\nAnswer: -5*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -16, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = -16. Is (-4)\/40*-4 + (-104665)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/5 - 741*g**3\/5 - 16443*g**2\/5 + 1823601*g\/5 - 1806414\/5 = 0. Calculate g.\nAnswer: -206, -79, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/50 + 6\/(-10)*1. Let a = 73 - 43. Let x = a - 18. Solve o = -3*w + q + 3, -4*w - 2*q - x = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*q**3 + 4*q**2 - 4*q**2)*(11 + 11 - 10).\nAnswer: -1188*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/43, 1\/2, 1\/5, 7?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119568 and 14416?\nAnswer: 2032656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*m - 4589 - 6793 + 546 = 7884 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 - 9*p + 8. Let i be d(7). Let s(k) = -k**3 + k - 10. Let r be s(0). Let y = i - r. Solve -2*w + 8 = y*a, -w + 5*a - 2*a = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*i - 12, -6*n + n = 3*i + 17. What is the third smallest value in i, 2\/7, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -15, -2, 5 in increasing order.\nAnswer: -15, -4, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d - 3 + d**2 - 2*d**2 + 2*d**2. Let q(r) = -r**3 + 43*r**2 - 39*r - 118. Let p be q(42). Let i be y(p). Solve 0 = 3*s - 20 + i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.162 + -0.062. What is the closest to z in 1\/3, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-19950)*-70*2\/(314\/(-5)).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/12*6\/(-21).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000231273 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.256 - 2.384. Let s = -2.64 - d. Let g = -12 - -15. Sort g, 2\/15, s, -3.\nAnswer: -3, s, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 7*y + 8. Let j be i(-7). Suppose 0 = -d + 2. Calculate the least common multiple of 6 and d + j + (2 - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 35. Let h be n(-37). Suppose 5*o - r - 82 = 0, r = h*r - 3. Calculate the remainder when -47*(-1)\/(3 + -2) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 1 r when three letters picked without replacement from eqsseqssuqqersueeq?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214 and 2948599.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -873 and 100342508.\nAnswer: 100341635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 - -360. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 36 = -2*a + 44, 0 = a - 5*h - 55. Calculate the highest common divisor of 5820 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 15 = -3*d, -2*g - 5 = -d. Let t = -1087737\/95 - -11450. Let v = -5\/19 - t. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*w + 2, 0 = -70*j + 73*j + w + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 272 = -46*g - 1309 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 44360228.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/80*(-87150)\/(-747).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = a - m + 4, 46 = 5*a - 2*m. Let l(t) = -t**3 - 62*t**2 - 74*t - 773. Let h be l(-61). Solve -a*f + h = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**6 - 5*f**3 - 334*f**2 wrt f.\nAnswer: 2040*f**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 2, a: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 3)\/(-191 + 193). Solve -4*q - 5*w + 14 = j, 296*w - 299*w + 7 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*b*g**3 - 2*b*g**2 - 16*b*g - 9*b - 2*g**3 + 1582*g**2 + 17 wrt g.\nAnswer: -144*b*g - 4*b - 12*g + 3164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2174\/18 + -5 - 10\/(-45). Let i be 8\/u + (-342)\/(-87). Which is the third biggest value? (a) -0.4 (b) i (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - s + 7 = 0, -3*i - 3*s = 31 - 43 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujurduduurulj. What is prob of sequence juuj?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -30*m + 342. Solve 31*l - m = 28*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11670 + -11703. Let b = -4.8 + 5. What is the biggest value in -1, -0.1, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 8*d**2 - 8*d + 4. Let z be x(7). Let g be 3\/z - -2 - -139. Let n = -1541\/11 + g. Is 0 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686152 (base 10) in base 2?\nAnswer: -10100111100001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 1\/5 (c) -17 (d) 3\/13 (e) 1\/6 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*k - 626*k = 3402 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13951, -27933, -41931, -55945, -69975, -84021, -98083?\n\"Answer: -8*n**2 - 13958*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 55864\nAnswer: 167592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 - 145 - 133 = -116*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 32 + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**3\/3 - k**2\/2 - 4. Let b be u(1). Is -4 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26a4 (base 13) to base 6\nAnswer: 41354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - h**5 + 5*h + (-h**3 - h**3 + h**3)*(-397 + 9*h**2 + 802 - 401).\nAnswer: -10*h**5 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23396575 to the power of 1\/2, to the nearest integer?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 8*d + 1. Give n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -3*l - 9*l. Let d be 6\/15 - 516\/l. Calculate the greatest common factor of d and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -778ba (base 12) to base 6.\nAnswer: -3221554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(1 - 1 + 2*m) + 5 - 1 + 3 - 2*m.\nAnswer: -4*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*w**3 + 62*w**3 - 2*w - 230*w**3 + 2*w**4 - w**4 - 40*w**3 as q + y*w**3 + v*w + a*w**4 + t*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30623 (base 8) to base 11\nAnswer: 9598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -182*n - 8. What is c(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j)*(7 + 3 - 4) + 16*j - 58*j - 5*j - 7*j + 3*j + 3*j + 0 + 0 + j + 0*j - 3*j + j + (-1 + 2*j + 1)*(-1 + 0 + 2) + 4*j - 2*j + 0*j.\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -0.29. Let q be (1\/(-2))\/((-3)\/(-12)). What is the closest to q in -0.4, 1\/8, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247200 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and 4?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 + 14*v + 3. Let j be l(-6). Let c = j + 26. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(8064)*1 - -2*2*sqrt(56))\/(sqrt(32) + sqrt(800)*-1).\nAnswer: -17*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l. Let w be -1 + 4\/1 - l. Suppose o + 0 + 8 = 3*f, -3*o = -f + 8. Which is the smallest value? (a) 1 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.007.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5761*n - 5765*n + 5*f + 40 = 0, -5*n + 3*f = -11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 1415.\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 159 (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7515847758638174297\/5033 - 1493313700286356. Let h = 18856161 + k. Let w = 2\/719 + h. Sort 2\/7, w, 4 in decreasing order.\nAnswer: 4, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-261)\/(-174).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-6 + 1) + -2. Let k(d) = -8*d. Let n be k(3). Let f = n + 63. What is the greatest common divisor of z and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 - -226. Let c(q) = -2*q - 3. Let h be c(-3). Solve 0 = -r - 5*b - w, -h*r + 2*r = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 6*b**2 - 488*b - 3139. Determine w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714971.\nAnswer: 714971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.4262 milligrams in grams?\nAnswer: 0.4554262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/3 (b) 0.5 (c) -0.03 (d) 1\/6 (e) 435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -586376 and -0.5?\nAnswer: 293188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 741, 740, 739, 738, 737, 736?\n\"Answer: -r + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 53*z**2 - 3*z + 1. Let k(v) = -107*v**2 + 5*v - 1. Determine -5*d(w) - 3*k(w).\nAnswer: 56*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 24 + 83 + 2*t**2)*(-171 - 39*t + 171) as o*t**3 + n + l*t**2 + m*t and give m.\nAnswer: -7527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133032020 + -201330?\nAnswer: -133300010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2) - -1) + 39. Let z = b + -25. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 177*y**3 - 24*y**2 - 2*y + 5408. Let v(m) = 175*m**3 - 38*m**2 - 3*m + 5410. Let w(s) = -2*v(s) + 3*z(s). Find the first derivative of w(n) wrt n.\nAnswer: 543*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 11, y: 9}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-2))\/7*(-1)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 328, 399, 456, 493, 504, 483, 424?\n\"Answer: -u**3 - u**2 + 81*u + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 67 = 5*s, 5*s = -a + s - 38. Let z = a + 25. Let j = z + 6. Solve -5*d - 3*c + c - 8 = 0, 0 = 4*d + 3*c + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 17. Suppose -v*n + 7*n = 0. Suppose -4*g = -2*g - 4. Sort g, n, -5 in increasing order.\nAnswer: -5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(4\/(-54)). Suppose 0 = -23*g + 46 + 23. Suppose -4*q - 2 + 16 = -2*l, -g*l = 3. What is the highest common divisor of q and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -5*s**4\/12 + 890*s. Let y(h) = -2*h**2 + 78. What is c(y(q))?\nAnswer: -20*q**4 + 1560*q**2 - 30420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - -27.96. Which is the fourth smallest value? (a) u (b) 3 (c) -5\/4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.371 meters in millimeters?\nAnswer: 879371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3637 is divided by 898?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 1. Let w(y) = 9*y + 3. Let p(r) = -5*b(r) + 2*w(r). Let v be (-2 + -1)\/((-6)\/(-6)). Let a be (-2 + v)*(-2)\/(-5). Give p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1078*b*c**3*r**3 + 174*b*c**3*r + 5*b*c**2*r**3 + 333962*c**2*r**3 + c**2*r wrt c.\nAnswer: 6468*b*r**3 + 1044*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4) - 1\/4. Let k = b + 3. What is the third derivative of 0*t + 0*t + 2*t**k - 2*t**3 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12106 + 290569\/24. Is 1 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l - 4. Let a(r) = -8*r + 85. Let c = -362 + 349. What is the remainder when a(c) is divided by i(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e (base 15) in base 12?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 9 = 4*n + u, u = 5*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 8 + 58 - 44.\nAnswer: 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - 13. Let j = d - -50. Let o = 4 - 4. What is the closest to j in o, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161896?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 26 + 15 - 12668*x.\nAnswer: -12668*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:05 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -208.369\nAnswer: 207.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006889465 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 0*q - 3*q - 116.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 y when three letters picked without replacement from pglygyyupullggllygu.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13489\/30 - 6752\/15. Let l = -3 + -2. Sort -2, k, -1\/7, l in descending order.\nAnswer: -1\/7, k, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**16*s*s)\/s)\/s**(-3\/22)*s**31*s**(13\/4) assuming s is positive.\nAnswer: s**(2305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*f + 3*c, 0 = 4*f - 6*c + 11*c - 113. Suppose 0 = 3*g - 4*g + 215. Calculate the remainder when g is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -3027, -10207, -24191, -47247, -81643, -129647, -193527?\nAnswer: -275551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -32*l + 91. What is the remainder when b(2) is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t - 4. Let k = 5 - t. Calculate the remainder when 10 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*o + a - 2, 3*o = -a + 1. What is the closest to 2\/3 in 0.5, o, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let a be 3*1\/(-3) - -1. Suppose 3*w - 6 = v + 1, -3*v - 3 = a. Let m(u) = 3 - w*u - 5 + 2. Calculate m(i(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 132*b**2 - 325*b - 49. Determine y(3).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56004040051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135924 = 3*g + 883598 - 48674. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from mpwwmwpwpppw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7 or -29.22?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhaahhahhhhhawm. What is prob of sequence mhw?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*a + 59*a**2 + 43*a - a**2 to z*a**2 + s + r*a and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.01, 1, 20, 0.01, -34?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -1) + (-22)\/(-11). Let k(x) = 2*x + 1. Let t be k(w). Suppose -j + 2*h + 8 = 0, t*j + 7*h = 2*h + 55. Solve d - 3*d = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 5*h**6\/2 - 96*h**5\/5 + 54*h**4 - 64*h**3 + 24*h**2 + 646. Let k(c) = 0. What is c?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3942, -9304, -16084, -24282?\n\"Answer: -709*z**2 - 3235*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180359 and -15.\nAnswer: -2705385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (16 - 66) - (-2 + 4 + -1) - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from bcbbssxbcbcbbbcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -2*j**2 + 0*j**4 + 0*j**3 + 0 + 1\/30*j**5 + 0*j. Let i(f) = -10 + 23 - 11 - 2*f - 2. Give g(i(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/38*(-15238)\/802?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 + 1 + 49*w - 47*w)*(2 - 2 - 2*w**2) as x*w**2 + r*w**3 + h*w + d and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6776784 and 864?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 1, e: 1, m: 3, g: 1, z: 2}. Give prob of sequence qpee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -2*(sqrt(768) + 2) + -3).\nAnswer: -32*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-8) - 34008\/77376.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/2 - 2*k**3\/3 + k**2\/2 - 2*k + 55. Give a(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*r - 4*h + 1, -3*h - 12 = 0. Let a be r\/(-10) - 187\/(-55). Suppose i - 3*i + 102 = -2*b, a*b = i - 49. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 - (-3 + -2 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 - 1 = 0. What is the closest to 1\/3 in 1, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -34 - -18) + (-1 - -1) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i. Let z(j) = 11*j + 9. Let w(b) = 5*b + 4. Let a(p) = 9*w(p) - 4*z(p). Determine g(a(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161476919, 161476917, 161476915?\nAnswer: 161476913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 3\/7 (c) 5 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/564 in 100, 0.1, -0.5, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(5\/(10\/2)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*n**3 + 8*n**2 - 13*n**2 - 215*n**3 as l + u*n**2 + b*n**3 + j*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0329? (a) -2\/17 (b) -5 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*q + 69 = 0, 5*q + 29 = -3*w + 87. Let y = -6 + w. Are y and 5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -2)\/(-1*(-12)\/(-24)). Solve d = -4*v, -3*v = 2*b + 3*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1113034 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*q - 11 = 0, 4*c + q = -c - 1479 + 1468 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1513172*w**4 - 1549036*w**2 wrt w?\nAnswer: 36316128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 999025*t. Let r(n) = 29*n**2. What is r(m(p))?\nAnswer: 28943477568125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/11 (b) 14 (c) -1918\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - v + 1. Let q(f) = 4*f**2 + 2*f - 2. Determine 6*q(b) + 13*s(b).\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -19*g - 72 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 14) in base 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 102 = 16*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16534 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)\/((v\/(v*v*(v*v**(-2))\/v*v))\/v*v))**(41\/4)\/((v**2\/v**0)\/(v**(-3)*v**(-7))) assuming v is positive.\nAnswer: v**(-219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 2*k - 0*k + 4*j, 0 = k - 2*j + 60. Let z = -17 - k. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 10. Let i(m) = -m + y - m - 5. List the prime factors of i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + -2 + (1*sqrt(24))\/sqrt(8))**2 + (-5 + sqrt(12) - (sqrt(6)\/sqrt(2) + -3)**2).\nAnswer: -44*sqrt(3) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3442?\nAnswer: 10326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 804975 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q. Let g(y) = y**2 - 8*y + 24. Let r be g(3). Let n(s) be the first derivative of 0*s - r + 1\/2*s**2. Calculate f(n(p)).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11319230579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i - 160 - 38. Suppose 5*t = 3 - 13, -2*q = -4*t - 14. Suppose 3*z + q*j + 51 = 0, 0*j + 68 = -4*z - j. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3*d - 3. Let b(o) be the first derivative of 1\/3*o**3 + 2 + 5*o + 5\/2*o**2. What is 3*b(c) + 5*m(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -646525\/84 - -7697. Let r = 9366913 + -206112737\/22. Let x = r - -1844. Calculate the common denominator of x and l.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27316640 is divided by 262.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127325 and 300950.\nAnswer: 3310450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 426462910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(563*b - 563*b + 44*b**3) + (0*b**2 + 1 + b**2 + 2 + 2*b)*(-3*b + 1 - 1)*(-2 - 4 - 1) as i + g*b + a*b**2 + v*b**3 and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 93423, 373764, 841023, 1495200, 2336295?\n\"Answer: 93459*u**2 - 36*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13535 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-47)*f**(-5)\/f*f\/f**0 assuming f is positive.\nAnswer: f**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10777*f - 6*f**2 + 3*f**2 + 7*f**2 + 21547*f - 10770*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6296746663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -12.\nAnswer: -12, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 26663.52 nanometers?\nAnswer: 0.00000002666352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38268556 minus -69?\nAnswer: -38268487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318 + 21*b - 4*b**3 - 318)*(-13 + 13 - 4*b).\nAnswer: 16*b**4 - 84*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179843, 359688, 539533?\nAnswer: 719378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156577695 is divided by 3726?\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 4*z + 5. Let x be 28\/(-10) + (-390)\/(-50) + -7. Calculate d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -5539.\nAnswer: -32\/5539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129999 is divided by 250.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -179 (b) -1 (c) 1\/45 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 8, i: 3, u: 1, o: 2, l: 1}. What is prob of picking 1 d, 1 j, and 1 o?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42379 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 16, 38, 70, 112?\n\"Answer: 5*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 245588 and -165.\nAnswer: 245423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-12))\/(2\/6). Let z be 3*(8\/(-6))\/r. Factor 2*o**2 - 4*o + z + 4*o + 4*o.\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*d + 4070 = 980*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.08 and 57.\nAnswer: 61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -49 (b) -2 (c) -4\/3 (d) 3\/71 (e) -9\/11 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*m + 20, 0 = s + m - 0 - 10. Let f be (1 - 1)\/(24\/12). Suppose 2*c - 4 = f, 0*r + 3*c + 24 = 3*r. What is the greatest common factor of s and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92.999947 - -93. What is d rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18 and -131\/876?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = 3*w. Let j = 2 + w. Find the third derivative of 13*t**2 + 39*t**6 + 6*t**2 - 16*t**j + 2*t**2 wrt t.\nAnswer: 2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210191898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2 + 6*o - 49. Let l(k) = -2*k**2 - k + 10. Calculate 11*l(d) + 2*x(d).\nAnswer: -2*d**2 + d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585\/4 + 146. Is -48 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 2. Let b be d(4). Let c be 4 + -4*5\/(-10) - 3. Solve 0 = -3*q + 3*g - 12, c*g = -3*q - b + 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 64*p**2 - 65646*p - 1378127. What is o(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Suppose -3*j + 7 = -20. Let b(f) = -j*f**2 - 73 + 73. What is q(b(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -23, 246458, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -286174.642 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {k: 1, s: 5, j: 3, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.2. Let w = 54.38 + -49.38. What is the closest to -2 in d, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpppp. What is prob of sequence ppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 - 21 = 0. Suppose c + l + 2 = s, 5*s + 5*c = 55. Solve 3*n + 5*a = 17, -a - a = -s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4954, -19805, -44558, -79213, -123770, -178229?\nAnswer: -242590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 4*b + b)*(-3382 + 186*b**2 + 3382) + (5*b**2 - 4*b**2 - 5*b**2)*(12 - 7*b - 12) to the form y*b**3 + a*b + t + z*b**2 and give y.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19145698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (4 - 1) + (9 + 7 - 15) and 118.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92 + 1061?\nAnswer: fcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19815 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 - 16*a + 134 + 58*a - 240 - 140*a.\nAnswer: -98*a - 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c - c + 34. Solve c = -4*o + 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 102278.223?\nAnswer: 102281.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 13*n + 8. What is the remainder when s(-10) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 159919, 159925, 159935, 159949, 159967?\n\"Answer: 2*x**2 + 159917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 7100 divide 2599579800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:23 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -60*x**4 - 52*x**2 + 242*x. Let r(j) = 24*j**4 + 21*j**2 - 97*j. Let q(h) = -5*d(h) - 12*r(h). Find the second derivative of q(z) wrt z.\nAnswer: 144*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 4 = 4*h, 0 = 4*i + h - 9. Let z be i*48 - 44\/11. Let q = -56 + z. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6251 - -174943\/28. What is the common denominator of x and 27\/4438?\nAnswer: 8876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 - 5*t**2 + 6 - 3*t + 0*t - t**3. Give p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -786822 (base 9) to base 12.\nAnswer: -1a85b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 32\/19 (c) 2056 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1336 + -1955. Let r = v - -618.9999374. What is r rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + -930\/7. Let f(h) = -h**2 - 19*h - 34. Let w be f(-17). Determine o, given that -k + 2\/7*o**2 + w*o = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brbbbbrbgzbbbzbgbrr. What is prob of sequence zbbg?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*a + 6, x + 64*a = 60*a - 17. Let p(h) = h**3 + 5*h**2 - 4. What is p(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 5*s - 25, -4*s = 12. Suppose 0 = 3*p - 4 - l. Solve -p*y + 12 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187472.7 + -1708457.\nAnswer: -1895929.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*f - 12 = 0, -607 + 625 = 3*q - 4*f for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 15. Let l be i(-7). Let o = 97\/16 - l. Suppose d + d = -2*b + 2, -5*b = d - 5. Is d smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 186 + 1136. Let p = -100 - h. Which is the second biggest value? (a) -1 (b) p (c) 3\/7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16219678 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 31*u**2 + 107*u - 29. Let c be y(27). Is 4*2*(-19922)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007914 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*v**4 - 1333*v**3 - 31705*v + 2.\nAnswer: -156*v**2 - 7998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.4, -17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 6*t + t + 7 + 0*t**3 - t**3 to the form q + c*t + f*t**3 + p*t**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12617*p**3*t**2 - 5*p**3 - 65*p*t**2 + 4*p - 5*t**2 + 4*t wrt p.\nAnswer: 75702*p*t**2 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89851, 359870, 809903, 1439950, 2250011, 3240086?\nAnswer: 4410175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -20*u + 7*u + 12*u. Let b(f) = 9*f. Give y(b(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3146300 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 3445089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18616 and -0.3?\nAnswer: 0.055848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1024781326 and 0.2.\nAnswer: 0.0975218674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 - 13*w + 9. Let b = 235 - 240. Let o(c) = -7*c**2 - 25*c + 18. Let l(m) = b*g(m) + 3*o(m). What is l(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169255.\nAnswer: 5, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*c + 2*c, 0 = 2*o - 5*c. Suppose -i + 5 = -o. Factor -4*t**2 + i*t**2 - 4*t**2 + 3*t + 6.\nAnswer: -3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 9*g - 3. Let z(t) = -2*t**2 - 21*t - 7. Let m = 622 - 616. Let x(a) = m*z(a) - 14*c(a). Let b(f) = 2*f + f + f. Determine b(x(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8.3. Let l = q + -3.7. What is the third biggest value in -0.2, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Suppose -f + 3*m + 10 = 0, -2*f - 5*m = 5 - 3. Suppose 0 = -0*l + 9*l. What is the smallest value in l, f, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1064)\/9310)\/((8\/(-4))\/(14\/(-6))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 + 2895*q**4 - q**3 - 1729*q wrt q.\nAnswer: -40*q**3 + 34740*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15469832107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 62*o - 54 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from ufffdzuufddfddu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 2)\/(-1)*18774\/28. Calculate the highest common divisor of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 622, -1\/9, -40?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 374*n**2. Let k(q) = 5*q**2. What is c(k(m))?\nAnswer: 9350*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -140 (b) 1 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827.6227 centuries to years.\nAnswer: 82762.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**3 - 3*k**2 + 5*k**2 - 2*k**2 - k as c*k**3 + d*k**2 + u + l*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5428527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - z + 12 = 0, -4*l + z = -0 - 12. Suppose l*j = -5*j + 96. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*w + 4*u - 180, w - 2*u = 38. Let d = w + 52. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64505, 129081, 193657, 258233?\nAnswer: 322809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6228 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/12 + -5 + 2\/6. Let s be (-40)\/(-15)*(-1)\/p*27. Let r be (10 - -2)*(-6)\/(-8). What is the highest common factor of r and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/7)\/((-5)\/(-35)) + -4. Let i be (n + 4\/(-1))\/1. What is the greatest common factor of i and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/4*4\/(-2). Let d = t - -29. Suppose 9*h - d*h - 239 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 - -17)*(-2 - (-67)\/34). Let x be 12\/70 + 24\/(-40). What is the closest to -1 in k, x, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-18))\/(522\/108 - (-6)\/(-4)). What is the closest to 3\/5 in -0.2, 0, o, -7\/18?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65404 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 621163 and 0.3.\nAnswer: 186348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 25*i + 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g - 2*s - 2, -3*g + 2*s - 1 = 0. Let z be (132\/(-56))\/((-3)\/g). Let i = -5\/7 - z. What is the third smallest value in -5, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202, 695, 1508, 2635, 4070, 5807, 7840?\n\"Answer: -v**3 + 166*v**2 + 2*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 2*j**2 + j**2)*(-1991*j**2 - 2 + 1987*j**2 + 3 - 6*j).\nAnswer: -16*j**4 - 24*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 5*s**2 + s**2 + 1 - s**2 - 1 + (-2*s**2 - 2 + 2)*(-1 - 5 + 4) - 2*s**2 - s**2 + s**2 + (2 + 2*s - 2)*(0 + 0 - 2*s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -3 (c) 39 (d) -4 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 7. What is the remainder when 20 is divided by w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - 1. Let j be i(3). Suppose 8 = 2*o - j. Let t = o + 21. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1857\/370 - -3\/37. Let c = -931\/4 - -228. Let a = -30 - c. Find the common denominator of a and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1835 + 1835.02265. Round n to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 16) to base 9.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - 271?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/3103, -1, -2\/3.\nAnswer: -1, -2\/3, 3\/3103","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 4, k: 2, n: 5, c: 2}. Give prob of picking 1 n, 1 c, and 2 f.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (285\/665)\/((-3)\/9*1440\/(-128)).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01126450707 to 4 dps.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -14 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*h - 97*h - 33*h to s + i*h and give i.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.020546 and 169725.\nAnswer: 169725.020546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l**4 + 10*l**3 + 3*l**2 - 6191*l wrt l.\nAnswer: 120*l**2 + 60*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1839, -7352, -16541, -29406?\nAnswer: -45947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-1064)\/(-16))*((-483)\/(-35) + -15)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3*sqrt(171)*-2 + (sqrt(171) - (sqrt(171) + sqrt(171)*-2*6)))\/((sqrt(486)\/(sqrt(36)\/sqrt(4)))\/(sqrt(6) + sqrt(48)\/sqrt(72))).\nAnswer: 76*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 4\/7, 1, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 92 = -2*u - 0*u, 0 = 4*u + 5*z - 190. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8543 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -519, 0, -1\/10, -93?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) 121.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 25371, 3.\nAnswer: -4, 1, 3, 25371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19259 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*3\/63*-1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 7*t. Let d(s) = -3*s**2 - 8*s. Let j(b) = 3*d(b) - 4*u(b). Find the second derivative of j(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 - d**5\/30 + d**4\/12 - 13*d**2. Determine i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5043 (base 6) in base 9?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - (1 + -1)) + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90591 divided by 3016\nAnswer: 90591\/3016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 - (-95)\/760*4?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/31))**(-3\/2)\/(q**31*q**26) assuming q is positive.\nAnswer: q**(-1863\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - f**2 - 3*f**3 + 28 + 4*f + 13*f**3 - 9*f**3 in the form h*f**2 + d + l*f**3 + b*f and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 5*a**2 - 31*a - 28. Determine v(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140\/(-630) - (1292573\/(-9) - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 188*n + 567. What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21528 and 1050387?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-331*a - 427*a + 255*a)*(0*a**4 - a**4 - a**4 + (-5*a + 3*a + a)*(a**3 + 2*a**3 - 4*a**3)).\nAnswer: 503*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580390, -580391, -580392, -580393?\nAnswer: -580394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -560, -5, -1\/158?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-9)*-3 - -38. Let g = -31 + a. Solve -5 = -s - g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*a + 29 = -318 + 5. Solve 0 = a*h - l + 44 - 40, -h - 11 = -5*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69946693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**3 - 4*h + 0*h**2 - 1\/147*h**7 - 1\/21*h**4 - 4\/105*h**6 - 1\/14*h**5 + 0. Let q(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2242 divide 125373872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1518 and 0.5?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 9, -23.7?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.3, 22 in ascending order.\nAnswer: 0.3, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3 - 5*s - 6 - 1 - 5*s.\nAnswer: -10*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 0 + sqrt(1584) + 3.\nAnswer: 3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 + 8*p**3\/3 - 9*p**2 - 6*p. Let z(f) = -2*f**2 + 418*f - 1657. Let v be z(4). Give w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 - j**4\/8 + 195*j**2. Factor n(y).\nAnswer: y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 2) to base 15.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/30 + 457*a**3\/6 + 12*a**2. Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10826689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 14 - 16 + 4*g + 10.\nAnswer: 3*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14113423 (base 5) to base 11.\nAnswer: -99924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((2\/((-60)\/(-3)))\/((-30)\/(-120))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-24) - 34\/60)*-2690?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 + 16 - (-5334524)\/(-154)) + 4. Let i = m + 34637. What is the common denominator of 178\/8*(1 + 1) and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - 10) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*k**5\/7 + 26700*k**4\/7 - 457340*k**3\/7 + 366588*k**2 - 863352*k + 719712 = 0. Calculate k.\nAnswer: -68, 2, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107174.6 - 0.4.\nAnswer: 107174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279036.\nAnswer: 2, 3, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73661208 and 3?\nAnswer: 73661211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3028 is divided by 726.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 114\/27 - (-2)\/(-9). Let j(x) = -x - 1. Let b be j(2). Is t\/(-30)*b*115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/112)\/((-368)\/56 - -6)*-4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2255.8 + -116\nAnswer: 2139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 46. Determine k(-21).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 12, -2*w = 5*h + 54. What are the prime factors of (-13)\/(-6) + h\/72 + 218?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuw when three letters picked without replacement from tnugugnuwgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.04 + 10.04. Is g at least as big as 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a7d27 (base 14) to base 15\nAnswer: 29d533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 38*t**2 + 185*t + 150. Determine k(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/15 - 4*o**2. Let a(x) = -2*x**2. What is k(a(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1170199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.99 + 4.23.\nAnswer: -74.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - a = -26, -c + 11*a - 16*a = 10. What is the least common multiple of c and 368?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -286469\/7 at least as big as -40924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 74, -5 in descending order.\nAnswer: 74, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-910)*14\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2261 divide 181903802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7592 - -30369\/4. Which is the smallest value? (a) 0.1 (b) 44 (c) 1\/5 (d) -3\/8 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 55*d - 4 - 21*d - 25*d - 13*d - d**2. What is u(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 6)*(-31 - 30*h**4 + 31).\nAnswer: -240*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3551, 3525, 3499, 3473, 3447, 3421?\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-10)\/360*3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Suppose -1 = -4*t - 13. Let l = t + 15. Suppose -q = 3*q - l. Determine x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 2 = -15*h + 4*l, h + 5*l = -12. Let k = h + 220. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o + 1. Suppose -3*b = p - 22, 2*p = b + b + 36. Let h(z) = -4*z - 2*z**2 - 10*z + p*z - 1. Suppose 0*n - 9 = 3*n. Calculate n*q(s) - 2*h(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14231 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 42150989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 276*h - 262*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(12\/18*-9 + 3). Solve -u - g = 3*i - 20, -u + 25 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - -0.34. Which is the third biggest value? (a) 0.3 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j + 1\/4*j**2 + 4 = 0. What is j?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:21 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 26 + 32)*(-1 + 1 - v**4 + (2*v - 2 + 2)*(-v**3 + 2*v**3 + 0*v**3) - 2 + 2*v**4 + 2 + (44 - 90 + 51)*(-6*v**4 + 19 - 19)).\nAnswer: -378*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80544 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 569, 565, 595, 677, 829, 1069, 1415?\n\"Answer: 3*f**3 - f**2 - 22*f + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w - 4. Determine f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-135))\/((-7)\/(-84)))\/((-2)\/441)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10 - (-31 - -24)) + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 161672?\nAnswer: 808360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o + 5 - o**2 - 4 + 2 - 10*o. Determine x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 - 44*i - 9. Let q be a(5). Let y = -51 + 46. What is the closest to -0.1 in -0.1, q, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269.29 + 281.313. Let p = 0.023 - d. Let a = -12.0000062 - p. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1566\/79 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:30 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 5, -698, 282 in ascending order.\nAnswer: -698, -4, 4, 5, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4 = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 0 - (4 + 1). Let a(m) = -2*m - 3. Let x be a(0). Is r not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 375*o**3 - 2358*o**2.\nAnswer: 3*o**2*(o - 6)*(o + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -8 (b) -4\/3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 q when three letters picked without replacement from {v: 4, q: 10, t: 1, i: 4}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88143 (base 13) to base 12.\nAnswer: ba640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 35 + 1. What is the remainder when 34 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20976 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 446 and 10?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 5*g. Suppose -13 = -3*m + 5*h, 15 = -3*m - 2*h - 7. Let r be a(m). Suppose 5*i**2 + r + 40*i + 72 - 4 = 0. What is i?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1106321\/2168 + 1198\/271. Let c = -509 - y. What is the common denominator of c and 2\/3*(-78)\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1 - -87) + -26 + 28. Calculate the common denominator of (t\/168)\/(-13)*38 and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6*(-2)\/(-308))\/((-7)\/(-154)*11).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1\/2 (c) -1.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -311000032?\nAnswer: -311000031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 16*d**2 + 13*d. Let j be b(-9). Let q = -26 + j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2567 and 2563 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -304, -377, -466, -577, -716, -889?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**5 - 796*c**4 - 39200*c**3 + 40000*c**2 = 0?\nAnswer: -100, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t - 204*t = -158*t + 5916 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 - 2.7. Let b = -2 - 4. Let l = b - -5.7. Put l, 4, s in increasing order.\nAnswer: l, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -34, 13, 130, 341, 670, 1141, 1778?\n\"Answer: 4*p**3 - p**2 - 24*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 181281.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7346?\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180\/67 - -10985\/3216. Find the common denominator of p and -25\/576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79049.13 decades?\nAnswer: 7904.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**6\/90 + 2*u**5\/5 - 283*u + 231. Let g(t) be the first derivative of m(t). Factor g(i).\nAnswer: i**3*(i + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220120211021 (base 3) to base 9.\nAnswer: -3816737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 + 3*h**3 + 20 - 2*h**3 - 62 + 4*h + 0*h**3 wrt h?\nAnswer: 3*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(d**3 - 2*d**3 + 6*d**3) + d - d - d**3 + (4*d**2 - 5*d**2 - d**2)*(2*d - 1 + 1) in the form c + p*d**3 + h*d**2 + j*d and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**6\/10 + 3*q**5\/4 + 7*q**4\/4 + 3*q**3\/2 + 16*q. Determine z, given that g(z) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m**3 + 14*m**2 - 5*m - 4. Let h(k) = 47*k**3 + 41*k**2 - 13*k - 11. Give -4*h(u) + 11*w(u).\nAnswer: -12*u**3 - 10*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + (22 - (5 + 6)) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 2687*y**2 + 2*y - 32688*y**2 + 4*y. Let u be m(5). Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -50. Let h be (-2)\/((-64)\/j) + (-174)\/8. Let f = 33 + h. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 31 - 2*k**2 + 31.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*w**2 + 320*i**4 - 13*i*w**2 - 2*w**2 wrt i.\nAnswer: -24*i**2*w**2 + 3840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8090 and -129\/460.\nAnswer: 372140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 13*d**2 + 30*d + 11. Let c be v(10). Let a(f) = -3*f + 21. What is a(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1666 - -3020. Suppose 0 = 23*h - x - 946. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*g**4 - 1 - 2*g**2 - g**3 + g**4 + 3*g**4 as a*g**4 + r*g**2 + y*g + m*g**3 + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 70) + -14 + 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + (-299)\/91. Let r be (-1*6\/15)\/(p\/(-30)). What is the lowest common multiple of 15 and 1 - 117\/r - 7\/28?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6809.\nAnswer: 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + -1 + (-1293 - 0). Let k be r\/26 + 6\/(-39)*1. Do k and -51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8518 and 3.\nAnswer: 8521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.9\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1534121 (base 7) to base 5\nAnswer: 23212243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3*r - 2. Let j(x) = 71*x**2 + 6*x - 11. Calculate -2*h(w) + j(w).\nAnswer: 69*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 110 - 105 = 2*b, -2*b - 3 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9317*o + 8293*o + 10994*o + 2157*o - 4802*o.\nAnswer: 25959*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2. Let s(j) be the third derivative of j**8\/6720 + j**5\/20 - 3*j**2. Let w(v) be the third derivative of s(v). Give w(a(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-1)\/(sqrt(6) - (sqrt(192)\/sqrt(2) + sqrt(6) + sqrt(6))))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 25.9. Let v = -4.1 - p. Let d = -3136\/19 - -165. What is the third smallest value in 2\/11, v, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**5\/10 + 5*h**4\/4 - 2*h - 14. Let j(o) be the first derivative of y(o). What is the third derivative of j(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.295 - 0.395. Let n = 20.4 - a. Round n to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33 - -29)\/(((-2)\/(-5))\/(-1)). Let u(k) = -2 - 9*k**2 - 388*k**3 + 3 - h*k + 3*k**2. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010111000011000001 (base 2) to base 10.\nAnswer: 880833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 3, 0, 15 in descending order.\nAnswer: 15, 3, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 822*c - 293*c + 1414*c - 21373 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 303*r**3 - 2889*r**2 - 24543*r + 227448.\nAnswer: (r - 9)**2*(r + 9)*(r + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 3 in decreasing order.\nAnswer: 10, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/11? (a) 2\/3 (b) -74 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18705\/60)\/43 - ((-12)\/(-15) - (-213)\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v + 1\/10*v**5 + 0*v**4 - 4*v**2 - v**3 + 0. Differentiate o(b) with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 12*v + 5. Let h be c(-12). Suppose -3*f + 6 = 0, h*q - 3*q + 28 = -5*f. Let t be (0 - -41640)*(q - 6). Round t to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/4 + p**2 - 59. Let u(b) = 5*b. Give u(i(f)).\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -16 - 48*k**3 - 7*k**2 + 179*k**3 - 54*k**3 - 2*k + 69 - 35*k**3. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 1\/5, 4, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18831, -75357, -169553, -301413, -470931, -678101, -922917?\n\"Answer: l**3 - 18841*l**2 - 10*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(18\/6)*2\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199553 is divided by 9500.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 60, 97, 128, 147, 148?\n\"Answer: -k**3 + 6*k**2 + 26*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -5\/2*w**2 - 5*w + 14. Suppose 3*d + 20 = -d. Give f(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138498?\nAnswer: 2, 3, 41, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/28)\/(9\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1087 - 392. Let a = f + -398. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 19*a - 9*a - 15*a**2 - 3*a + 5*a**3 - 5 + 8*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57865700 to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9315103 is divided by 169365?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35467.515 - 0.3?\nAnswer: -35467.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -61062 divided by 1613?\nAnswer: -61062\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38235 divided by 12745?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 2*z - 2. Let b be n(-1). Let v be ((-2)\/b)\/(8620\/(-1725) + 5). What is the greatest common factor of 92 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 6:28 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 15) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -29 - (0 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87215079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:09 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 109*a**2 - 1299*a + 23. Give o(-11).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44594150 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 + 141*t - 30. Is 2 a factor of y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:22 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-5) + (-6)\/(-15) + 0. Find the second derivative of 6 - 23 - 6*s + m*s + 3*s**2 + 5*s**2 wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 0.5 (c) -1 (d) -87\/16 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - a4043a?\nAnswer: -a40442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**22*y**(-2)\/y**(1\/4))\/(((y*y**(-4)*y*y)\/(((y**(-1\/2)*y)\/y)\/y))\/((y**0*y)\/y)**(-20)) assuming y is positive.\nAnswer: y**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4738 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 3*d + 20. Let w be t(5). What is the greatest common divisor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 - w**4 - w**4 - 3*w**4 - w**4 + (0*w**2 + 0*w**2 + 2*w**3)*(2*w + 0*w + 0*w) + 2*w**4 - 6*w**4 + 3*w**4 + 4*w**4 - 4*w**4 - w**4.\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209833891.\nAnswer: 19, 11043889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {n: 9, d: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53934.7l to millilitres.\nAnswer: 53934700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/98 and -59\/546.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - 2*w + 8, -5*h + 22 = w. Calculate the least common multiple of 18 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 + 27 = -2*r, k + 3*r + 15 = 0. Let c(y) = y**2 + 3*y + 4. Let v be c(k). Solve -3*a + 6 = -2*o, o - v*a = -1 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190595*r**3 - 2279239 wrt r?\nAnswer: 571785*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422.09 + 422. Which is the fourth smallest value? (a) -4 (b) z (c) -1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/4 + (-4)\/16. Let i be 0 + -8 + -1 + 1. Let x = 12 + i. Let g(a) = 6*a**2 + 4*a - 3. Let n(j) = -5*j**2 - 3*j + 2. Calculate d*g(u) + x*n(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 48*u - 3 - 15*u + 48*u.\nAnswer: 81*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Let z be ((-20)\/8)\/((-1)\/(-2)). Let k be 2\/8 - (-3)\/4. Put s, z, k in decreasing order.\nAnswer: s, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 689, 1147, 1787, 2609?\nAnswer: 3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 86264 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112020001020 - 120?\nAnswer: -1112020001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**3\/3 - 8. Let l(g) = 12*g**2 - 7*g**2 + 3*g**2. Determine f(l(r)).\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 22 = -4*s. Let o be ((-2)\/s)\/(1\/57). Solve 4*d - 2*i = -d + o, 2*d + 5 = 5*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 2, 3, -1, -2, 1 in ascending order.\nAnswer: -2, -1, 1, 2, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58100925 divided by -75?\nAnswer: -774679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 362266238 and -649.\nAnswer: 362265589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 16 = 632*h - 635*h, 4*h + 7 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12696*z**4 + z**2 - 34321*z + 2 wrt z?\nAnswer: -152352*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by 18815\nAnswer: -51\/3763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.5 (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (714\/(-54) - -13) + (-2)\/(-9). Let i be 539\/5 + (-1)\/(-5). Suppose -47*w + 46*w + i = f. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7199 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + -3 + 6 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*p = 542, 7*c - 11*c + 1108 = -2*p. Let n(i) = -i**3 - 3*i**2 + 2*i - 9. Let r be n(-5). Calculate the highest common factor of r and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 309333779 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:23 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 161921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 7) in base 2?\nAnswer: 10111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1 - (4 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:25 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*4\/4 + 0 - (-15)\/(-3). Let g(j) be the second derivative of -4\/3*j**4 - 3*j**3 + l - 14*j + 0*j**2. Find the second derivative of g(a) wrt a.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167378 by 6.\nAnswer: 83689\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57806 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3549 + -3543. Let x(o) be the second derivative of 0 + 3\/5*o**5 - 6*o - g*o**3 - 1\/10*o**6 - 27\/2*o**2 + 1\/2*o**4. Find j, given that x(j) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let k(i) = i**2 + 4*i + 1. Let a(c) = -5*k(c) - 15*m(c). Solve a(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12229, -24663, -37345, -50275, -63453, -76879?\n\"Answer: -124*a**2 - 12062*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/20 - f**5\/30 + 6*f**2. Find the third derivative of v(k) wrt k.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 294 and -8.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 3*z + 178, n = -2*z + 46. Suppose -4*h + 3*h = 2*x + n, 0 = -2*h + 4. Find the common denominator of 43\/6 and (2\/8)\/(x\/(-728)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -18*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27321912 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 1, d: 1, o: 3, m: 1, h: 5, r: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6705 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 -3*r + 21 = -j, 16 = 4*r + 5*j - 31. Suppose -12 = -r*w + 5*w. Suppose d = -w*d + 80. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 715, 938, 1161, 1384?\n\"Answer: 223*s + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/105)\/(1\/(-6)). Let g = -68.95 + 66. Let z = g - 0.05. What is the closest to u in -0.2, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-4 + 97) - -22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (7 - (2 + 7)) - -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181700\/11 + -16518. Which is the nearest to 1\/2? (a) 3\/4 (b) 108.9 (c) i (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108556 + -62183. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o + 10*o - 4*o)*(-1 + 2 + 0)*(3 - 3 + 2).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5577537874522 - 110.\nAnswer: -5577537874632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 1 - 1 + (3 - 3 + o)*(3 + 2 - 4) + 2*o - o + 2*o - 10*o + 22 - 22)*(-5 + 3 - 9) to the form h*o + u and give h.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 20*b - 21. Suppose 3*i + 6*i = 189. Let c be s(i). Solve 4*t - t - 9 = -3*j, c = -3*j - 4*t + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 16*s = -1048 + 1077, -5*c + 2*s - 3*s = 90 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let g(a) = -26*a**3 + 2*a**2 + 4*a - 4. Let j be g(1). Does 20 divide (c\/(-3) + -1)*j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -904 - 24*y**3 - 86 - 86 - 69 - 14*y**2 wrt y?\nAnswer: -72*y**2 - 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = 1. Let n = 6 - r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 249710\/18 - 222\/(-999) - 1. What is the greatest common divisor of 144 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3480*w = -1359*w - 61509 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b + 1. Let i be q(-2). Let u(m) be the first derivative of 1\/2*m**2 - 2\/3*m**i - 1 + 1\/4*m**4 + 0*m. Solve u(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:33 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6554 divided by -5?\nAnswer: -6554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31988, 31987, 31992, 32003, 32020, 32043?\nAnswer: 32072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 3.93. Let k = 4.2 - g. Does 0.04 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 7*u**2 + 12*u - 2. Let q be v(8). Let p = 35 - q. Suppose -1786 - 1419 = -p*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*o - o + 39 + 18 + 6*o.\nAnswer: 2*o + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366010161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/((-47850)\/(-407)) - 4\/50. Determine l so that -11\/6*l**2 + v*l**3 + 4*l + 6 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*4 - (0 + -3). Let a = s + 49. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2\/8 - 129*i - 35685\/8 = 0. What is i?\nAnswer: -305, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 2\/5*j**5 + j**3 + 0 - 10*j + 0*j**4 + 0*j**2. What is the second derivative of i(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 3*a**2 - 4*a**2)*(-2 + 3 - 3) + (42 + 77 - 35)*(-2 + a**2 + 2) in the form n*a + q*a**2 + b and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83974293557\/3930 + 106837578\/5. Let u = -70\/393 + c. Find the common denominator of ((-37)\/4)\/(2\/4) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 52*h**2 - 8*h + 6. Let u be w(4). Round u to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20, 3*v - 46 = -5*n + 9. Suppose n = r + r. Solve 3*m + 15 = y, -r*y + 4 = -3*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*q**2 - 152*c*q*u - 37*c*u + 5266*q**2*u wrt c.\nAnswer: 2*q**2 - 152*q*u - 37*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h - 6. Let z be u(7). Which is bigger: z or 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2012910 less than or equal to -2012913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 20*z**2 - 23*z - 33. Let p be u(-21). Suppose -p*b - 7*b = -2592. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18133794*p - 2984*p**3 - 18133794*p.\nAnswer: -2984*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 1094.218.\nAnswer: 1089.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(119)\/(sqrt(70)\/sqrt(10)*5 + sqrt(7)).\nAnswer: -2 + sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -15*c + 18 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91087.36819 + -91087. What is m rounded to three decimal places?\nAnswer: 0.368","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -18 (c) -4037 (d) -2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u - 2. Let d(k) = -k. Let i = 94 - 85. Suppose -11*y - i = 2. Calculate y*w(t) + 3*d(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b5010 (base 12) in base 9?\nAnswer: -1757673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46995.7466 - 8682?\nAnswer: -55677.7466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 117305003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((47\/(-188))\/(1\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = 5*c, c = -h + 2 + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3 - o**2 - 3 + o + o**3. Let a be w(3). Let j(v) = 109*v**2 + 3*v - 1. Let t be j(-1). What is the greatest common factor of a and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = 10, -3*w + 4*j - 20 = 0. Let v be (w - (-4)\/(-2)) + 2. Suppose 2*g + 2 = 42. Solve v = 5*o - o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 11*m + 4. What is q(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from bbjjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:49 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -234*r + 27. Let t(x) = -18*x + 2. Let w(u) = 4*j(u) - 54*t(u). Let d(c) = 0*c + 5*c - c - 6*c. Give d(w(f)).\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 193 and -36.\nAnswer: -6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211238251 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1526.3 - 372.3. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4194999 * -14\nAnswer: 58729986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1188\/60)\/9)\/((-3)\/15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 5655999\/621 - (-1)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.047? (a) -7 (b) 4\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 37, 56?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*j**5 + 2*j**2.\nAnswer: 12240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86326 is divided by 4534.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 8 = -k - 5*p - 2, -4*k + 2*p + 0*p - 120 = 0 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -563*q + 584*q - 42. Determine i, given that -1\/9*i**q + 0*i + 1\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4300983 divided by -14?\nAnswer: -4300983\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -47006 (base 8) in base 5?\nAnswer: -1114344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3496803.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 654*n**3 - 3*n**2 - 47*n + 94. What is the hundreds digit of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 8. Suppose 16 = -9*p - 2. Let g(t) = 2*t + 17. Let o(x) = p*g(x) + 5*j(x). Calculate o(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0*s)**(8\/7)*(((s\/s**(2\/9)*s)\/s)\/s)**(-11) assuming s is positive.\nAnswer: s**(298\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -88, -199, -380, -625?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + y + 213 = 0, 0*r = 3*r - 5*y - 225. Suppose -4*b = -r + 14. Solve 0 = 4*s + 2*j + b, -2*s + 3*j = j - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5616)\/4680 - (-2)\/45*222?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/5)\/j)\/(j*j**(-5)*j)*(j**(-1))**(-26))**(-2\/123))**(1\/9) assuming j is positive.\nAnswer: j**(-274\/5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -107, -187, -275, -365, -451?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*b + 95 = 19, 0 = d + 5*b - 44. Let i = 37 + -11. What is the greatest common factor of d and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 0.4, -0.2, -56, -0.6 in ascending order.\nAnswer: -56, -5, -0.6, -0.2, 0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358556*v**3 + 75*v + 32?\nAnswer: 2151336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-5))\/((1\/(-27))\/(((-289)\/34)\/17))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7419311 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.09 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*o + 65*o = 2650 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from {o: 6, q: 4, k: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*y**3 - 3 + 3 - 561*y**3 + 280*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*m + 256*m = 6. Let -2*b**3 + 254*b - 5*b**m + 45*b**2 + 2*b**3 + 55 - 149*b = 0. What is b?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 10 = 0. Suppose -6 = -4*m + q. Suppose z = 3*u + 2*z - 17, 0 = -3*u + m*z + 11. Solve 0 = 8*f - 3*f - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -8.06. Let o = b + 11. Let h = -1533 - -1534. What is the third smallest value in h, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*w + 83 = 0, -5*r - 4*w + 156 = 15. Calculate the highest common factor of r and 7225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32796705 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*s - 84 = 0, 8*s - 13*s - 10 = 0. Calculate the remainder when v is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66818 is divided by 106.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 548069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6076 and -91\/124.\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.2 (b) -0.022 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00363288713 to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6611, -13418, -20333, -27356?\nAnswer: -34487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:24 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1300)\/275)\/(-26) - (-2)\/(-33)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.225103.\nAnswer: 0.0900412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -4 + (sqrt(891) - (sqrt(891)*1 + sqrt(891))))**2*3.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36\/25 - -169\/100. What is the third biggest value in n, -1\/4, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -20, -56, -114, -200, -320, -480?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -46. Let y = n + -42. Which is the nearest to 1? (a) 2 (b) -5\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (3 + sqrt(396)*-3 + sqrt(396) + sqrt(396)) - sqrt(396) - (sqrt(396) + -3*sqrt(396) + -3))*-3 + 0)*-2)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -808, 1, 769?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e07 - 3?\nAnswer: -6e0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 11518249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -192, 2, 0.5, -5 in ascending order.\nAnswer: -192, -5, 2\/13, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56872418?\nAnswer: 2, 28436209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 343\/5*w**5 - 146\/5*w**2 + 8\/5 - 12\/5*w + 119\/5*w**3 + 588\/5*w**4 = 0.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -3*w - 7. Let b be (-6)\/w + 46\/11. Find the third derivative of 5*c**2 - c + c + b*c**4 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, l: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 1 k when three letters picked without replacement from ddcdfdczkzzxcdzzz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5248 = -r, 4877 - 31090 = -5*r + p. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021139682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280 is divided by 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -69*a**3 - 345*a**2 - 158*a - 824. Determine q(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2 - 17*p**2 + 1 + 8*p + 4*p**2 + 5*p + p**3. What is the least common multiple of 10 and n(12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -77, -120, -165, -212, -261?\n\"Answer: -y**2 - 38*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -247 - 4?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/((-189)\/98) + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 85 + -61)\/(9\/(-96)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/30 + t**5\/20 + t**4\/4 - 2*t**3\/3 + 3*t**2. Let h be v(4). Let m = h - -337. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1272940 and 129\/1150.\nAnswer: 146388100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61050184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*133\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -580*m - 4055. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 10224?\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 131, 1, 1518\/29, 156?\nAnswer: 1518\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/4 - (1 + -2). Let y be (t - 3\/3)*3. Calculate the greatest common factor of 60 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -120, -24\/11, -2?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1583*u**2 - 507*u**2 - 1239*u**2 - 133*u**2. Let v(s) = 4*s**2. Calculate v(k(m)).\nAnswer: 47941776*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18152 is divided by 282.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/8))\/((-1276)\/(-88) - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - d - 14 = 0, 2*u - 34 = -4*d. Suppose -5*v + u = -2*v. Suppose 5*o - 5*i - 295 = 0, 0 = -0*o - v*o + 5*i + 185. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/8 - (-38)\/152) + 8. Sort 9, -43, q, -5 in decreasing order.\nAnswer: 9, q, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-9)\/6)\/(-3)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 11. Let s be m(-6). Let u be (-2 + 6 + 1)*1. Let z(c) = -5*c + 2*c**2 + u + 0*c**2 - c**2. Give z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/9 + 17\/36. Let t(f) be the first derivative of 0*f + 3 - 1\/3*f**3 + 1\/2*f**2 - p*f**4 + 1\/5*f**5. Suppose t(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 139, 204, 267, 328, 387?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 24, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1202347*m**4*n + 2*m**4 + 11*m**3*n - 35*m**2*n + m**2 - 340*m*n - 3*m - 422*n wrt m.\nAnswer: -28856328*m*n + 48*m + 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -1\/2 (c) 14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggs when three letters picked without replacement from {s: 12, g: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91075906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 51 = -2*x + 21, x = -4*w + 72. Let s be (9\/2)\/(w\/744). Find the common denominator of 1*-2 - s\/(-32) and 29\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x = 8. Let j(f) = f + 8*f**2 - 3*f**3 - 8*f**2 + 1. List the prime factors of j(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, c: 5, l: 5}. Give prob of sequence mlcc.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**3 + 2*h**2 + 3*h - 1. Let b be p(3). Suppose 5*w = b - 33. Calculate the common denominator of -83\/8 and 1\/(w\/5 + -1).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d + 15. Let j(y) = 23*y + 4*y + 2*y + 14 - 22*y. Calculate -7*j(p) + 6*k(p).\nAnswer: -p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/277 + -7262\/1385. Calculate the common denominator of d and 73\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101 + 3?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -915*l - 5487. Let z be o(-6). Solve 0 = 5*p + 20, -4*t + 8 = z*p - 5*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (111 + (-54 - -32)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -49. Let c(t) = t**2 - p*t + 4*t - t. Let v(q) = -7*q**2 + 13*q. Let k = -9 + 3. Give k*v(r) - 39*c(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-12)*12\/20)\/(12\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, u: 1, n: 2, v: 4, p: 2}. What is prob of picking 1 v and 2 a?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + g - 893 = -4*g, -5*g + 25 = 0. Let u(n) = 3*n + 868 - n - t. Let b(l) = -22*l. Give b(u(h)).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02174917 to five decimal places.\nAnswer: 0.02175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1152544741 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -3.97. Let s be 2 + -1 + 1 - 0. Which is the smallest value? (a) s (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141, 243, 345?\n\"Answer: 102*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 - 1 - 39*j. Let c(s) be the second derivative of -s**4\/4 + 3*s + 966. Determine x(c(p)).\nAnswer: 117*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 + 35*x**2 - 22*x - 7. Let s be w(8). Solve -2*l = -3*j + l - s, -1 = -l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001696 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39244 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11526 or -10?\nAnswer: -11526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065588 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.57698 litres?\nAnswer: 45576.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let c(k) = -57326*k**2 + 2*k. Give c(z(o)).\nAnswer: -57326*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 99*o**3 - 4*o**2 + 3*o + 12. What is the hundreds digit of y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 16. Let d = 20 + -12. Let i be (75\/20)\/((-3)\/(-4)). Solve -4*c = -z - 3*z + d, -3*c - i*z + b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -24*h - 476. Let c(x) = -h + 205 - 2*x - 65 - 69. Let d be (7 + 1)*(-12)\/16. Calculate c(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = -9. Let a(z) = 7*z**2 + 2*z - 4. Let y be a(d). Suppose 0 = r - y + 12. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 377160689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3*x + g**3 + 9*g**2*x + 268*g**2 + 7*x + 4 wrt x.\nAnswer: 2*g**3 + 9*g**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727, -1462, -2197, -2932, -3667, -4402?\nAnswer: -5137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -49, -19, 54, 2, 5.\nAnswer: -49, -19, -3, -2, 2, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0587504 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, n: 2, k: 1}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 1. Sort j, 4, -2 in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 11:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l + 11. Let p be d(11). Let a = p - 185. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3637252\/19 + 191357. Which is smaller: -77 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.63315 + -0.63315077914. What is s rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111101 (base 2) to base 13.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3\/2 + 2975*j**2 - 17885*j\/2 + 5965 = 0.\nAnswer: -1193, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f**3 + 1\/8*f**4 + 0*f + 14*f**2 + 1\/20*f**5 + 0. Let a(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4057*t + 575. What are the prime factors of n(1)?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 14485 (c) -1\/2 (d) 16 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445061, -445072, -445097, -445142, -445213, -445316, -445457?\nAnswer: -445642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(4\/15))\/(i*i*(i**26*i)\/i) assuming i is positive.\nAnswer: i**(-409\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -6*x - 7, -32 = -2976*x + 2957*x - 5*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43 times 28.9373?\nAnswer: -70.317639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 471\/3) + -2. Let x = o + 350. Suppose -3*a = 5*i - 105 - 78, 0 = 5*i + 2*a - x. What is the least common multiple of 18 and i?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4270670 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2.114, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = -4*x, 0 = -4*x + 2*u - 0*u - 2. Suppose 0*d + 2*d = -q + 2, x*q + 2 = -2*d. Calculate the least common multiple of 1 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60544141 + 0.1\nAnswer: -60544140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1588 or 1587?\nAnswer: 1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**4 - o + 1. Let k(i) = 4*i**5 + 5*i**4 - 9*i + 5. Let w(z) = k(z) - 5*y(z). What is the second derivative of w(b) wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7*z - 41 = 2*z, 5*z = -v + 33. Solve 0 = 2*u - 3*f - 7 - v, 2*u - 5*f - 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 times -97?\nAnswer: -329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:01 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/4 - i**3 - 5*i**2\/2 - 2*i. Let x be u(7). Let y = -2303\/12 - x. Find the common denominator of y and -71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-28)*-2 + 8\/(-28). Let a be (1 + t)\/(-2 - -1). Solve a*n - 15 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by -175?\nAnswer: 529\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 34. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (10 - 11) - 33?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -12662997.\nAnswer: -1\/4220999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**26\/((d**(-4)\/d*d)\/d) assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s - 6 = 0. Suppose 2*p = 5*k - 21, -3*p + k - 9 = -5*p. Factor -3*q**p + 3*q + 0*q**3 + 6*q**3 - 9*q**s + 3*q**4.\nAnswer: 3*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*0.6\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*p**2*u + 5*p*u + 62*u with respect to p.\nAnswer: 58*p*u + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + a = -0*a - 15, 2*a = -3*u - 47. Suppose 3*w + 65 = 4*w. Let z = u + w. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 55. Let w = 40538.014 - 40505. Let m = v - w. What is m rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 144. Suppose o = -9*h - 7*h. Suppose h = 3*i - 8*i + 2*p + 79, i - 21 = 3*p. What is the greatest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 417, 415, 413, 411, 409?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 + 421 = -8*q. Suppose -2*n - 3*n - 2 = -p, -4*p + 27 = -n. What is the lowest common multiple of q and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 2.4735?\nAnswer: 0.074205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d - 26. Calculate y(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 12550*w - 2705540. Determine n(212).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3724.240247 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 97. Let l = f + 100. Suppose -2*r + 26 = -4*s, -2*r - l*r - 2*s + 125 = 0. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -6.10263.\nAnswer: -3.051315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from bxixbxiiixxxixxxxi?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3145, -5, 3\/2, 5, 3.\nAnswer: -5, 3\/2, 3, 5, 3145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 7) to base 16.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39.3? (a) -456 (b) -0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 4*c - 2. Let r be g(-5). Let b = 17 + -28. Let d = r - b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*x - 21, 378*z - 377*z + 2 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/6450 and -65\/9.\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/9 + 86*y**3\/9 + 880*y**2\/9 - 968*y\/9.\nAnswer: 2*y*(y - 1)*(y + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 3, -2, -3 in increasing order.\nAnswer: -3, -2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 8 = 33*n - 28*n, -4*r - 2*n = 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 + 0*f - 3 + 0 + 2*f. Let v(w) be the second derivative of w**3\/6 - w**2 + 4*w. Let b be v(3). Let i(p) = p + 1. Give b*g(t) - 4*i(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 3*l)*(0 + 0 - 3*l**3)*(6*l - 8*l - 2*l).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5 - 9 - 2*v - 1 + 0*v. Let k be n(-10). Suppose k*z = -0*z + 10. Solve -z*y = 4, y = 2*t + 6*y + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5270328483 + 0.5.\nAnswer: -5270328482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/15*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21248 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6255 + -845?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)\/(3\/(-312)). Suppose -8*f - 5418 = -52*f + 1446. What is the highest common factor of o and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7055 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2435\/9, -5, 1\/8, 1\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/513 - (0 + (928\/144 - 9)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 117. Suppose -f*n + 48 - 36 = 0. Solve 2*v = 3*t - n, 3*v + 3 = 5*t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 8*b + 6. Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*(r\/(r*r**(-1\/6))*r)\/r*(r*r**(1\/3)*r)**(-27\/5))**(-23) assuming r is positive.\nAnswer: r**(8993\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -430.373 + 410.573. Let b be (4\/14)\/((-4)\/(-6)). Put b, 0.5, d in descending order.\nAnswer: 0.5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, 104, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/4 - 5*j**3 + 27*j**2\/2 + 3*j + 3. Factor h(o).\nAnswer: 3*(o - 9)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d. Let w(v) be the first derivative of 4*v**3\/3 - 197. Give c(w(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w - 4*b, -4*b + 2*b = 5*w - 11. Suppose 3*h - h - 5*r - w = 0, 0 = -5*h + 3*r + 36. Suppose -h*g - 2*g = -484. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-15))\/(-12) - 12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -116, -179, -258, -359, -488?\n\"Answer: -l**3 + l**2 - 49*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/120 - f**5\/20 - 23*f**3\/3 + 1. Let a(c) be the third derivative of v(c). Factor a(t).\nAnswer: 3*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(7200) + sqrt(7200)*4) - (sqrt(400) + sqrt(400)*-3)\/sqrt(8))\/((sqrt(160)*3 + sqrt(10) - 2*sqrt(490))*-1).\nAnswer: -57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 - 1)*(-2*c - 2*c**3 + 2*c) - 2*c**3 + 3*c**3 - 2*c**3 - 338*c + 170*c + 167*c - 86*c**3 to the form p*c**2 + o + q*c**3 + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2637*m**2 - m + 4*m**3 - 2903*m**2 - 6*m**3 to the form t + c*m + g*m**2 + x*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 23*l**3 - 21*l**2. Let y(t) = 11*t**3 - 10*t**2. Let j(z) = 6*n(z) - 13*y(z). Find the third derivative of j(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4+-23\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10*-2)\/(-83*1800\/(-41500)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + o = -45. Let r(t) be the first derivative of t**4\/4 + 2*t**3 - 3*t**2 + 10*t + 10. Let d be r(-7). Sort o, -2, d in descending order.\nAnswer: d, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(22)\/(1*sqrt(11)) - (sqrt(4)\/sqrt(8))**2) + -5.\nAnswer: -11\/2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + 33\/6 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205829783*h**3 + 389574442 with respect to h.\nAnswer: -617489349*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 621*k**3 + k**2 - k - 1. Is 57 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from 690.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1977, -2 in ascending order.\nAnswer: -1977, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*g = 108, 3*x + 0*g = 2*g + 117. What is the remainder when 363 is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -2894.\nAnswer: -2894, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - 24\/(-10). Suppose -6 = l*g + 6. Let v(o) = -o**2 - 4*o + 5. Determine v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7241 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*y + 3*b - 8*b, 0 = -2*y - 5*b + 75. Suppose 3*r - y = -2*r. Calculate the remainder when 10 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*y**2 - 33*y + 13?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 67. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izi. What is prob of sequence zii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*d + 32, 5*p - 18 - 22 = -5*d. Put 50, d, -3 in descending order.\nAnswer: 50, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*p + 16, 3*v + 0*p + 17 = -5*p. Let g = -1172.1 + 1172. What is the smallest value in 3, 2\/11, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*q = -213, -5*q = h - 8*q + 67. Let f be (-8)\/16 - (-149)\/(-2). Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 22*d**2 - 94*d + 153. Let x be u(17). Solve x = -84*r + 65*r - 171 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*z**3 + 188 - z**3 - z - z**4 - 186 - z**2 + 2*z**4 + 2*z**4 in the form i*z**2 + y + k*z + b*z**4 + v*z**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1035, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**3 - 2*f**2 - f + 2. Suppose 4*v - 3*v - 1 = 0. Is 3 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**2*t)\/t)**(-35)*((t\/(t\/(t*t**(-8\/9))))\/t)**46 assuming t is positive.\nAnswer: t**(-1313\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 227 - 31)*(-2 - 2*f + 2 + (2*f - 3*f + 2*f)*(-1 - 1 + 1)) to the form x*f + z and give x.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12588, -25161, -37734, -50307, -62880, -75453?\n\"Answer: -12573*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c69 (base 15) in base 9?\nAnswer: -8420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23028 by -2.\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 11. Let k be r(-8). What is the units digit of 3\/(1\/((-2)\/k))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4254 and 0.08.\nAnswer: -340.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-20) - (-168)\/20. Let m(p) = 4*p + 15. Is m(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702557 * -1.2\nAnswer: -843068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 29*t**2 - 24*t - 29. Let p be x(-16). Which is smaller: -2972 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 2 (b) -7 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2, 423767 - 7323772 = -d + 4*u. Suppose 5*w - 5*a = -3*a + 34499998, a - d = -w. What is w rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - g = -11, -2*n + 4*n = g + 7. Let t(s) = -5*s - 2 - n + 4. Let w be t(-1). Solve w = 3*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 55*s**2 - 125*s + 65.\nAnswer: 5*(s - 1)**2*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((104\/(-4368))\/(2\/(-4)))\/(1\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.1809 years in centuries?\nAnswer: 0.551809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 36*a - 6631478 = 4365452. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/13))**(-19)\/(o*(o\/((o**(-1\/10)*o)\/o))\/o)**3)**(-4\/5) assuming o is positive.\nAnswer: o**(1998\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1, -0.3, -463.373?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 5*r**7\/42 + r**3\/6 + 2*r - 2. Let u(y) be the first derivative of l(y). Find the second derivative of u(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.2, -3.83, -7, -3\/5, -1\/11, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677 = -453*f - 106*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402\/91 + -32\/7. Let s be (((-2)\/7)\/((-90)\/(-70)))\/(66\/198). What is the closest to -2\/3 in s, 2, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*y, -393*y - 5057 = -3*x - 391*y. Calculate the remainder when x is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3*l + 2. Let g be j(-3). Suppose g*s + 2*s = 356. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 12. What is z(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13896 = 16*d - 10*d. Suppose 5*j - 3910 = 5*z, 3*j + z - d = -2*z. What are the prime factors of j?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-3)\/3)\/((-27)\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-3)\/32) - 0. Suppose z + 2*z = 5*x + 265, 3*z = 4*x + 260. What is the highest common divisor of z and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*c + 36*c - 772 = 8. Let x(s) be the third derivative of 1\/330*s**5 + 0 - 3*s**2 + 4\/33*s**3 + 0*s - 5\/132*s**c. Factor x(o).\nAnswer: 2*(o - 4)*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.76623 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((4\/2)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 880204742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let b(n) = -n**2 + n. Determine b(q) + d(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:50 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(5))**2 + -2*sqrt(125).\nAnswer: -20*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omcomoapxam. What is prob of picking 1 p and 2 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808045?\nAnswer: 5, 7, 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15) + 4\/6. Let p(l) = 0*l + l + 1 + l**2 - 4*l + i*l. Calculate p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 8. Let n = 7 - r. Suppose 0 = -n*q + q. Is q equal to -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*l - 4 = 2, 2*c = -3*l - 6. Let q be ((15\/6 + -3)\/(-1))\/((-2)\/20). Put q, 4, 1, c in increasing order.\nAnswer: q, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 83*b + 660. Determine q(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 not equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.1502088\nAnswer: -0.3004176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120904 and -501322.\nAnswer: -380418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 5 - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 17*v - 42. Let x be b(-16). Let d = -272 - x. What is the least common multiple of 1496 and d?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-42) + 358\/6?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -42.493.\nAnswer: -84.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c - r = -12, c = -3*r + 14. Suppose -2*w - c*k = 0, 2*w - k = 5 + 1. Solve -w*p + 23 = 5*v - 3, 4*v - 25 = -3*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101001110011100010010001?\nAnswer: -101001110011100010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-99) + (-42)\/(-231).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 9*t + 31. Let g be f(12). Let z(v) = -4*v**2 - 2*v - 2. Let o(r) = 5*r**2 + 2*r + 3. Let n(l) = g*o(l) - 6*z(l). Determine n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)\/(6\/((-324)\/(-135))). Put 4, 9, z, 2, -2\/7 in decreasing order.\nAnswer: 9, 4, 2, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70444 - 70448. Let i be (-28)\/12 + 4\/(-6). Sort -10, o, i in increasing order.\nAnswer: -10, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/32 and 5\/1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 16. Let j = -8 - u. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80792637 to the nearest integer?\nAnswer: 8988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 + 10*d)*(12*d - 3*d + 2*d) - 60*d**2 - 2*d + 0*d + 61*d**2.\nAnswer: 111*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = z, 5*w = 2*z - 33. Let g(l) = -l**2 + 9*l + 3. Let n be g(z). Solve -15 = 4*b - j, -n*j - 15 = -8*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -0*b, 7 = 2*q + b. Let x be q + 4\/(-2) - 1. Suppose 0 = 4*o - o - j - 40, -x*o + 70 = 5*j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u**2 - 29*u**2 - 28*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 43\/4, -3, 9, -2\/9, 3\/235, 1, -3\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 2a5?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxg when three letters picked without replacement from xsrrzrygxrzg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 2*n - 2*n + (5 + 4 - 7)*(2*n + n - 5*n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30100128 and 128.\nAnswer: 120400512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5945\/19 - 313. Let f = -995\/77 + 367849\/27412. Let x = -1\/356 - f. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1873*r**5 - 4269*r?\nAnswer: -37460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 3. Suppose 0 = -8*g + l*g - 6. Suppose 0*f = f + 5. Sort f, g, 5 in decreasing order.\nAnswer: 5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 8*i + 22. List the prime factors of b(-12).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6519571 or 1?\nAnswer: -3\/6519571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1417*b + 8 - 13 - 4859*b + 1697*b to x*b + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (-47 - -96) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -170*q**3 + 19*q**2 - 5*q + 477. Let l(b) = -b**3 + 3*b**2 - b. Let y(i) = 5*l(i) - m(i). Find the first derivative of y(a) wrt a.\nAnswer: 495*a**2 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)\/(8\/(-40)*5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 1951*h**2 - 3906*h.\nAnswer: h*(h - 2)*(h + 1953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 316826120 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150509*s**2 - 71835*s - 1 wrt s?\nAnswer: 301018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1193917908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.51 in 3, -2\/37, 12742?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 368 - 380. What is the units digit of 5\/(-20)*2 - 6402\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**6)**(-40)*(d*d*d**(-3)*d*d*d)\/d**5 assuming d is positive.\nAnswer: d**(-283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9662 + 1 + 2)\/(-1).\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11911094188 less than -265?\nAnswer: 11911093923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*s = -15, 12 = -5*i + 5*s - 9*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Sort y, 3, 0 in ascending order.\nAnswer: y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21312 + -8688. Let o be r*1*-24*-1. Let p be 155\/3*o\/6. What is p rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 > -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by -3?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 9*t**2 + 2. Let n be o(-9). What is the closest to n in 3, 5, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**3\/6 + 2*l**2 - 15*l. Calculate x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41220 (base 6) to base 11\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/16 + (-18064575)\/(-12600). Which is smaller: b or 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32764726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -775777023, -1551554043, -2327331063, -3103108083, -3878885103, -4654662123?\n\"Answer: -775777020*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616224 + -86257. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**3 - u**2 + 2. Calculate k(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/((-222)\/740*7\/((-357)\/(-4))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 35*p + 93. Suppose -82 = 4*a + 2*z, 3*z = -a - 0*a - 18. Is 15 a factor of r(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.01?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 4, w: 1, z: 4, d: 2, i: 1}. What is prob of picking 2 d and 1 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w - 3 + 3)*(3*w**2 - 6*w**2 + 2*w**2) - 1 + 2*w**2 + 3*w - 3*w + w**3.\nAnswer: -22*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 8\/(-10)*250\/(-100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458010557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/4 - 51*z**2\/4 - 42*z - 39 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1558220 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/8 + 7*g**5\/20 - 18*g**2. Find the third derivative of x(j) wrt j.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31473387*-0.16.\nAnswer: 5035741.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3759325, -3759326, -3759327, -3759328, -3759329, -3759330?\n\"Answer: -q - 3759324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/21))**(-13)\/((i\/(i**30\/i))\/(i*(i\/(i**9*i))\/i)) assuming i is positive.\nAnswer: i**(412\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 195239191 and 0.3?\nAnswer: 195239190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let s(b) = -3*b - 1. Suppose 4*d + 7 = -q + 6*q, 5*d - 13 = -q. Suppose 0 = 6*v + d - 8. Give v*s(p) + 5*w(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51363396 to the nearest integer?\nAnswer: 7167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -22 - (5 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*c**3 + 405*c**3 + 412*c**3 - 1242*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9836*o + 427. Let w(p) = 4*p**2. Give y(w(l)).\nAnswer: -39344*l**2 + 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/2 + 23580*o**4 + 3*o**3\/2 - 23580*o**2 = 0.\nAnswer: -1, 0, 1, 15720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4 + 48*d**3 + 116*d**2 - 48*d - 112 = 0.\nAnswer: -2, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 6. Let c(r) = -3 + 21 - 5 - 3*r. Let k(g) = -6*c(g) - 13*n(g). Let d(y) be the first derivative of 2*y**3\/3 + 1. What is d(k(a))?\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 17. Determine m(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j**2 - j + 9. Let p be k(0). Suppose 0 = 2*s + p - 3, 5*a - s = 118. Let w = -0.2691 + -0.7309. Which is bigger: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240227, 240228, 240229, 240230, 240231, 240232?\nAnswer: 240233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g + 2975 = 60*g. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -44*h - 8. Let w(z) = 224*z + 43. Determine 22*n(m) + 4*w(m).\nAnswer: -72*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, s: 3}. Give prob of picking 2 s and 2 a.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -237887 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 71. Calculate the highest common factor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1777595, 1777592, 1777589, 1777586?\n\"Answer: -3*d + 1777598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 2*p**4\/3 + 8*p + 5. Let a(y) = -y**2 + y - 1. Let l(j) = -3*j - 4*j + 5*j + 2. Let b(v) = -2*a(v) - l(v). What is b(c(x))?\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116, -107, -100, -95, -92, -91?\n\"Answer: -w**2 + 12*w - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -133, -137, -141, -145, -149, -153?\n\"Answer: -4*b - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12062 and 1575232?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -1\/3 (c) -726\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 10, -13, -58, -131, -238, -385, -578?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-48)*-8)\/(-2 - (-28)\/15). Put y, -28, 29 in increasing order.\nAnswer: -28, y, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1669302 and 8161032.\nAnswer: 73449288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1132818)\/(-39748) + (-30 - 0\/2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 + 4*l + 4. Let u be h(5). Let d = u - 0. List the prime factors of (11 - (d - -1)) + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyjylyyjjyljylyayj. What is prob of picking 2 j?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18024.5986 rounded to the nearest 10?\nAnswer: -18020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -70*m**3 - 50*m**2 + 25*m - 535. Let r(b) = 17*b**3 + 12*b**2 - 6*b + 134. Give -6*p(u) - 25*r(u).\nAnswer: -5*u**3 - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179965.6 centimeters to millimeters.\nAnswer: 1799656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338176 = 5*k + 30506. Suppose -7*x + k = 4*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r**2 - 15*r**2 - 534*r**2)*((-3 + 3 + r)*(-3 + 2 + 2) + 2 - 5 - 2*r - 1)*(0 - 10 + 4).\nAnswer: -3510*r**3 - 14040*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 4*w - 7*w + 0 - 1)*(-1 - w**2 + 1).\nAnswer: -2*w**4 + 3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 19 - ((38 - -10) + -44)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 + 1 = l, -5*l = 4*h - 5. Suppose -10 = 2*s - 0, 0 = 4*b - l*s - 81. Calculate the greatest common divisor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 0*x**4 + x**4)*(159*x + 151*x - 390*x) + (0*x**4 + 0*x**4 - x**4)*(2*x - 2*x - x).\nAnswer: 81*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + 8. Let m = -53 + a. Solve -5*y = -y - m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 15 + 3*f + 3*f**4 - 11 to the form z + h*f + j*f**3 + s*f**2 + y*f**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.27193 or 136.39?\nAnswer: 0.27193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, b: 1, m: 1, p: 2, a: 2, n: 1}. Give prob of picking 3 w.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18884843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 10*u - 68. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -1\/3*d**3 + 0*d**2 - 14*d - 1\/12*d**4 + 0 + 1\/20*d**5. Factor u(w).\nAnswer: w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435a (base 11) to base 16\nAnswer: -1678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 17cb4?\nAnswer: -17cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*a + 3 + 148*a - 38*a - 17*a.\nAnswer: 216*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 113800228 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 15*q = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-384)\/(-160))\/(-3) + (-86)\/(-70)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 19*d**2 - 44*d - 23. Suppose -2*b + v + 0 - 2 = 0, 6 = 2*b + 3*v. Let x(w) = -w + 14. What is the remainder when z(16) is divided by x(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from jllwnywynwsljwl.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 51. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4719 and 1194468?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - ((42 - 48) + (-4 - 2) + 2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25312402 is divided by 16741?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 plus -0.24712?\nAnswer: 154.75288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -609006.4?\nAnswer: 3045032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915173?\nAnswer: 7, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(8\/7)*(x**1)**(-10) assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.1 + 13.916. Let p = -1.184 - c. What is the second biggest value in -5, p, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -85. Let w = p - 65. Let k = 0.4 + -2.4. What is the third smallest value in w, 2, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.52, -2\/23, -2, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 101 = -119. Let j(f) = -3*f**2 + 29*f + 2. Let o(h) = -12*h**2 + 117*h + 9. Let i(u) = x*j(u) + 2*o(u). Suppose i(y) = 0. What is y?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g + 54*g = -5*o + 12, -o + 2*g - 3*g = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*t - 3*t**4 - 50*t - 2 - 43*t - t**3 as k*t**4 + a*t + o*t**3 + y*t**2 + r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 560.628.\nAnswer: -3363.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 + 570663*a**3 + 27138306960*a**2 + 27137736300*a = 0?\nAnswer: -95110, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000867 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 - 2087*s**3 + 6279*s**2 + 18783*s - 56430 = 0. What is s?\nAnswer: -2090, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2\/9*i**2 - 22\/9*i + 0 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248249698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c**(1\/10))**(-26)\/((c**1)**(-47))**(-23\/2) assuming c is positive.\nAnswer: c**(-6471\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h**4*i - 28*h**3*i - 13*h**3 + 3*h**2*i - 37774*h**2 wrt h.\nAnswer: 384*h*i - 168*i - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3) - (-8)\/22. Let t = a - 1\/33. What is the closest to 3 in 3\/4, t, -2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/16*(4691 - -33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16187 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*b - 122, 2*z - 15*b = -7*b + 142. Let g = 15 - 10. What is the highest common divisor of g and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56775?\nAnswer: 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 21, 24, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219053343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39860333.9999948 - 39860347. Let o = y - -13. Round o to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549120.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1956 - -633\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425668461.\nAnswer: 3, 37, 3834851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -4*c + d, -24*d + 23*d = 1. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/3)*d)\/(d*d*d\/(d*(d*d*d\/((d*d*d**(2\/25))\/d*d*d))\/d*d))*(d\/(d*d*d**15))**49 assuming d is positive.\nAnswer: d**(-58756\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 12*l**2 - 21*l + 29. Let g be p(10). Suppose -i = 21 + g. Which is the third biggest value? (a) 2\/21 (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from opoooopooppjopoopop.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004266654 rounded to 6 dps?\nAnswer: 0.004267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*3\/((-27)\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.075 + -59.925. Let v = r + 60.0432. Let j = 0.04 - v. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzyy when four letters picked without replacement from {z: 8, y: 5, k: 4, p: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 866*i**2 + 3 - 424*i**2 + 3*i**3 - 441*i**2 + 8 - 3*i + 3*i**4 as t*i**2 + k + g*i**4 + u*i + v*i**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -279, -99, 81, 261?\n\"Answer: 180*s - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110123 + -22?\nAnswer: -110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-6)*(13 + (-5580)\/432).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:51 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -25*j + 3. Let i be x(-3). Suppose -4*y - 6 = -i. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(l - l + l + 3*l + 4*l - 5*l + (0 + 0 + 2*l)*(0 + 5 - 3) + 2*l + l - 5*l)*(-3 + 3 - 2) to k*l + q and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -56, -82?\n\"Answer: -26*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -799*m**2 + 6 - 2 - 3461*m**2 - 4 as l*m + b*m**2 + h and give b.\nAnswer: -4260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b. Let v(s) be the third derivative of -3*s**4 + 4*s**2 - 33. Calculate q(v(y)).\nAnswer: -1512*y","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 237137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 6. Let m be n(4). What is the highest common factor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -210 + 243 + 43 + -8.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 129*b**2 + 0 + 1\/8*b**4 - 13\/6*b**3 + 0*b**5 - 3\/70*b**7 + 7\/120*b**6 + 0*b. What is the second derivative of p(y) wrt y?\nAnswer: -108*y**2 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d**2 - 3*d**2 + 8*d + 10. Calculate the least common multiple of 11 and q(7).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 43 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:05 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1536.5 to the nearest ten.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028, -1862, -2504, -2954, -3212, -3278, -3152?\nAnswer: -2834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/3, -2\/563, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0276 (b) -0.028 (c) 3\/5 (d) -4 (e) 123\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 - 9 - -19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 81. What is the remainder when n is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-26)*(-20)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2 - 2*o - 1. Let a be q(-3). Suppose 5*j - 1 = a. Let d be 4 - (3 + -2*j). Calculate the greatest common divisor of d and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/35)*c)\/c**(-2\/7))\/(c*c\/(c\/((c*(c**(-2\/9)*c)\/c)\/c))*c*c**(3\/5)) assuming c is positive.\nAnswer: c**(-326\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(4 + sqrt(1300)) - (0 + (sqrt(1300)*4 + sqrt(1300) + -2)**2))*5*-2.\nAnswer: -1500*sqrt(13) + 325240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j + 4*j. Let w = -0.9 - -1. Let n = 0 - w. Which is the nearest to j? (a) -3 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*w**2 + 0*w**2 - 3*w**2)*(13*w + 56 - 56)*(w - 3*w + 0*w) to the form c + v*w**4 + r*w**2 + s*w**3 + j*w and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(117)\/(sqrt(6)\/sqrt(2)))\/((sqrt(3) - (2*sqrt(3) + sqrt(3)))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78189 rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - (4 - 4)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 466 - 466. Let 0 + i**2 - 1\/2*i**4 - 1\/2*i**3 + l*i = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s - 2. Let a = -96 + 98. Let y(r) = 5*r**2 + 11*r + 11. Let d(g) = g**2 + 2*g + 2. Let n(x) = a*y(x) - 11*d(x). Calculate n(q(v)).\nAnswer: -36*v**2 + 24*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 11 + (0 + -1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/3, 0.1, -704, -28, -0.035?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 673*l - 125988. Calculate n(187).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 16. Suppose 0*c + m + 5 = c, -2*m + 14 = 2*c. Solve -i = -c*i - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {i: 2, n: 1, b: 2, t: 1, m: 1, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 49. Let m = -44.9 + l. Let g = m - -2.95. Which is the smallest value? (a) 3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 - 2 + 3*a**2 - 11*a**3 + 2*a**4 + 5*a**3 in the form o*a + x + v*a**3 + i*a**4 + c*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-5 + -18 - -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 - 113*l**2 + 51*l - 17. Let w(u) = -u**3 - 14*u**2 + 6*u - 2. Let t(d) = -51*w(d) + 6*x(d). Factor t(v).\nAnswer: -3*v**2*(v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 4. Let u be l(6). Suppose -2 = -u*r + r. Suppose -3*f + r = -28. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2\/23, 0.2, -0.78 in increasing order.\nAnswer: -20, -0.78, -2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -16. Solve -4*y + 8 = t*l, 0 = 2*l + 2*l + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -b, 5*k + 2*b + 21 = -4. Does 18 divide (-212)\/(-6) - 2\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106\/33? (a) 4\/3 (b) -6\/5 (c) -5 (d) 7\/3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -26084255\nAnswer: 1\/26084255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171229 - -171228.98000031. Let z = -767 - -767.02. Let f = g + z. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/20 - -3) + (-2112)\/320.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:18 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*g**4 - 1992*g**4 - 244*g**4 + (-g**4 + 0*g**4 + 2*g**4)*(4 - 1 - 1) + (g**2 + 2*g**2 - 5*g**2)*(-3*g**2 + 7*g**2 - 2*g**2).\nAnswer: -2333*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -1\/3*g**3 + 0 + 3*g + 2*g**2. Let w(h) = -1. Let r(a) = u(a) - 2*w(a). Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6471 and 66196173?\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 times 0.0742\nAnswer: -0.038584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 158, 173, 188?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.0526?\nAnswer: 0.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 + 490522*l**3 - l**2 + 402663*l + 1 wrt l?\nAnswer: 24*l**2 + 2943132*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1435390 to the nearest ten thousand.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0769 take away -1971859125.4?\nAnswer: 1971859125.3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 272 = -9*g. Let l(c) = 12*c**3 - 2*c**2. Let n be l(1). Let k be (-7)\/(-35) - (-158)\/n. Calculate the greatest common divisor of k and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31806 (base 12) to base 10.\nAnswer: -65094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -2, 1\/6, 4, -4, -346, 7\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 4*x - 4. Let y be f(4). Let z = 35 + -35. Which is the closest to 2\/13? (a) 0.3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s**2 - 2*s + 2. What is the least common multiple of t(1) and 166?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 17*c**2. Let q(s) = -68018*s. Give q(u(y)).\nAnswer: -1156306*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.064, 0.06, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*q + 2*q - 44 = 0, 3*q = 2*d. Let b = -1 + d. Suppose -2*a + 4*h = -18, 2*a - h = b*a + 1. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 + 4 + -1 + sqrt(20) - (-2*sqrt(45)*-1)\/((sqrt(9) - (sqrt(9) - sqrt(9)*1))*-4))**2.\nAnswer: 9*sqrt(5) + 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2011622*r**2 + 10340*r - 3?\nAnswer: 4023244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 157.09 (b) -3 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 63 + 32 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:46 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 - 312. Calculate the smallest common multiple of g and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/49 - (-81)\/15*50\/(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 389465 + 32\nAnswer: 389497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 8*i + 24 = 7*i, 0 = 2*i - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9764704 divided by 32.\nAnswer: 305147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -61 (c) 0 (d) -7 (e) 1\/5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 162 = 5*x, 17 - 143 = 4*x + 5*k. Let p(l) = l + 9. Determine p(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 0*p + 4*p + (3*p + p - 2*p)*(-3 + 3 - 1) - 2*p - 1 + 1 - 3*p + p - p + 6*p + 4*p + 5*p)*(-29 + 36 + 18) to the form n + w*p and give w.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -715 times 0.04424?\nAnswer: -31.6316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-48))\/((-2)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.0904 + -0.0904. What is the nearest to -3 in 4, o, 16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/4)\/(2\/8). Let c = 12 + -22.9. Let n = c - -10.8. What is the nearest to -1 in w, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5 - (-5 + -1)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 474?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6158*h - 1083810. Give d(-176).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 82 - 21 = 0. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4840328585 to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - 31*u**2 - 4*u + 56. Determine o(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29980, -29979, -29978, -29977?\nAnswer: -29976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2613*i + 97713 = 1315*i - 1849*i for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 0. Let z = 81\/10 - 17\/2. Which is the nearest to 1? (a) z (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14817372?\nAnswer: 2, 3, 137, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(3 - 5 + 3)*(-2 + 2 - 2 - 3 + 4 - 3 + (-2 + 1 + 2)*(2 - 4 + 1) + 1 + 2 - 4 + 2 - 2 - 2 - 15 - 19 + 64)*(3*c - 2*c + 3*c).\nAnswer: -88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 136458 - 136458 + 488*f in the form z*f + r and give z.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 + 68*n**3 - 76*n**2 - 68*n + 72 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by 136.\nAnswer: -157\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022702?\nAnswer: 2, 511351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 5*h + 5. Suppose 2*s = -3*c - 199, 0*s - 401 = 4*s + 3*c. Let a = 47 + s. Let m be (21\/(-9) - -2)\/(3\/a). Determine n(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/56)\/((-212)\/371).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 15. Let h be 0 + 6 + (j - -2). Let x be 3\/9 - (-20)\/h. Solve 0 = -4*o + 12, b + 21 = 4*o + x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7908860429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let t = o + -0.9. Which is the nearest to t? (a) 0 (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.06 + -0.06. Let y = 3.1 - k. Suppose 0 = 3*g - 5*q - 8, 3*g + 6 = 4*q + 13. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689217859 to the power of 1\/3, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.02 and -0.0161.\nAnswer: -0.016422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4551 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: Solve 2*g - 5 = 46*a - 45*a, -2*a + 15*g = 3*a + 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171718716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/13*-3*(-12)\/(-144).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56718 - 56720 - 2*x + 8*x + 24*x.\nAnswer: 30*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-7)*122\/44. Let l = t - 3\/14. Let b be (-3)\/4 - (-9)\/108. What is the closest to -1\/4 in l, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 > -2\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -15. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -354 + 745. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + l - 4 - 6*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 + -215. Suppose -i - 18 = 5*q, 36 = -4*q - c*i + 9. Sort q, 35, 5 in decreasing order.\nAnswer: 35, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/(-3)*1\/2. Suppose 2*u + h = 3*u. Suppose -u = -26*j + 20*j. What is the least common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 404. List the prime factors of s.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*2\/6 - (-64)\/31.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61, 1204, 3069, 5656?\n\"Answer: 361*g**2 + 60*g - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-5*(sqrt(143) - (-1*sqrt(143) + sqrt(143)) - sqrt(143)))\/(sqrt(297)\/sqrt(3) - sqrt(44)\/sqrt(4)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and -49029877.91301.\nAnswer: -49029878.81301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.053.\nAnswer: -0.0265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(242) + 2 - (sqrt(8) + sqrt(8)*3)\/sqrt(4)).\nAnswer: 8 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 122. Suppose -3*m + 3*r - 187 = r, r = -1. Let o = m - b. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4729 + 282. List the prime factors of r.\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*-14 - (15\/2 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29268 * 0.007.\nAnswer: -204.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) -2.861 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 - -193. Let i = -100\/71 + 6577\/284. Calculate the common denominator of i and (b\/(-4))\/1 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 91*g - 2 + 8)*(2*g - 2*g + g**2) to u*g**2 + c*g + s + k*g**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.02+32.2476\nAnswer: 34.2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011101 (base 2) to base 4.\nAnswer: -30131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4168e + 34?\nAnswer: 416c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201744?\nAnswer: 2, 19, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/378 + 22 + 130524\/(-5913)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -1. Let j = 1 + l. Let p = 0.26 + -0.46. Put j, p, -6 in increasing order.\nAnswer: -6, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 90033*p\/7 - 90036\/7.\nAnswer: 3*(p - 1)*(p + 30012)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1539576 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-3)\/3*2. Let k = s + 12. Calculate the smallest common multiple of 2 + -2 - (-8 - 12) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 805751, 1611501, 2417251, 3223001, 4028751?\n\"Answer: 805750*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 24*m**5 - 13602*m**4 + 2713797*m**3\/2 + 13691577*m**2\/8 + 1200909*m\/2 + 515223\/8 = 0?\nAnswer: -3\/4, -1\/4, 131, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6314*z - 12720. What is b(-2)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*i + 45 = 5, i = c. Let t = 3 - 4. Let b = c - t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 88 = -17*t + 2 - 781, 0*t - 51 = t - z for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Is 15\/4 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/35*-8*(-91)\/3536.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20559*i**6 + 344*i**5 + 2*i**2 + 446982591?\nAnswer: -2467080*i**3 + 20640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 216 = -6*c. Calculate the smallest common multiple of c and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 24. Suppose 0 = -3*x + 3*j - 1 - b, 4*x + 10 = 5*j. Solve 0 = -x*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 61.31. Let p = 0.09 - k. Let w = -0.5 + -2.5. Which is the third smallest value? (a) p (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 692*n**3 - 5*n**2 - 3*n + 6. Does 23 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:34 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12*p = -13*p - 11551, -12 = 4*p. List the prime factors of o.\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 24. Let j = 1894 - 1847.84. Let t = u - j. Round t to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34863 divided by 11621.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 790153353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 84075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (4 - 42) - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063899 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3093, 24588, 82933, 196554, 383877, 663328, 1053333?\n\"Answer: 3071*m**3 - m**2 + m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 4*i - 2*i + (7 - 3 + 0)*(2*i + 2*i - i))*(1 - 5 + 2) as a*i + g and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -20, -4493 in decreasing order.\nAnswer: -9, -20, -4493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72198.33 minutes in nanoseconds?\nAnswer: 4331899800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-50.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20628 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313\/15 - 21. Which is the closest to -2.5? (a) -3\/2 (b) z (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjccpcccu. Give prob of picking 1 u, 1 f, and 1 c.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/31742300 and -81\/242450?\nAnswer: 412649900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36225 and 108675?\nAnswer: 108675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2215786 * -2.\nAnswer: -4431572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.96 and 3.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2*g + g)*(-2*g + 5*g - 5*g)*(-1 - 542*g + 272*g + 275*g - 3*g**2) to x + q*g + t*g**4 + d*g**3 + i*g**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 5. Let d be r(-7). Suppose -2*j + 1 = -23. What is the highest common factor of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 271648 and 4160?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 s, and 1 j when four letters picked without replacement from {j: 3, g: 3, s: 8, h: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0758 + 0.3758. What is the closest to -0.1 in 0, 4, n, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f**5 - 1635*f**6 - 24*f + 254*f**2 - 34*f**5 + 24*f wrt f?\nAnswer: -196200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1429*n + 6. Let o(x) = 4*x - 12. Let z be o(4). Suppose a - 3*a + 25 = w, a = z*w + 26. Let f be i(a). Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-16)*(-41)\/((-1025)\/(-1800))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 2488*v**2 + 3354*v - 34735. Give w(828).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6.3. Let g = 214.11 - 213. Let z = -0.11 + g. What is the closest to 0.1 in z, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854897?\nAnswer: 3, 11, 56209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**13)**(-42))**(-1\/34))**35 assuming o is positive.\nAnswer: o**(10290\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309*r**2 - 2669053*r - 4078 = 0 for r.\nAnswer: -2039, -2\/1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.010981ml?\nAnswer: 0.005010981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 3*p**2 - 3*p + 3. Let q(x) = 1 + x - x**2 + 0 - 2*x. Suppose -172*h + 198*h = -78. Determine h*q(v) + r(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q + 4362 = 159*q - 820*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - s**2 - 2*s + 1. Let q(v) = v - 1. Let j(k) = -q(k) - u(k). Suppose y - 15 = -2*y. Let d = y - 6. Give j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 38*g - 1 + 8427\/20*g**5 + 2597\/4*g**4 - 104*g**3 + 6*g**2. Solve x(o) = 0 for o.\nAnswer: -1, 2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, y: 5}. Give prob of sequence ay.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(65\/(-202605)). Which is bigger: -1040 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3991435 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.02399*-0.05.\nAnswer: 0.2511995","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -339, -342, -345, -348?\n\"Answer: -3*m - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 45*l - 10. Let g(v) = 2*v**2 - 9*v + 2. Let h(o) = 11*g(o) + 2*w(o). Let h(a) = 0. What is a?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 14*v - 121. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 234, 231, 228, 225, 222?\n\"Answer: -3*p + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368386*c**3*q**5 + 1503757*c**3 - 26*c*q**3 - 6*c*q**2 wrt q?\nAnswer: 22103160*c**3*q**2 - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2537\/(-7) - (20\/(-4) - -2). Which is smaller: y or -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 - 20*w**2 - 229*w + 1444. Let y be t(6). Let h(c) = -c**2 + 3*c + 2. Let g be h(6). Put 0.4, g, y, -0.1 in descending order.\nAnswer: 0.4, -0.1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 36. Put -4, -3, 0, i in decreasing order.\nAnswer: i, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12549326, 12549297, 12549268, 12549239, 12549210?\nAnswer: 12549181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 8051*g**2\/2 + 6341*g - 3550. Find the first derivative of a(r) wrt r.\nAnswer: 8051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 11677590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8391*w**3 - 4194*w**3 - 4195*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683938272?\nAnswer: 2, 3, 7124357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6891, 7469, 8411, 9699, 11315, 13241, 15459?\nAnswer: 17951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 64*k - 5. Give a(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 2*y + 3. Suppose 3*b + 16 = -5*r, -2*b = 2*r + 1 + 3. Suppose -24 = -4*d + 4*i, -3*d - b*i = 4 + 2. Calculate p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**4 - s - 8*s + 18*s - 2*s + 1 - s**2 + 2*s**3 in the form h*s**2 + o + w*s + n*s**3 + b*s**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6 - 12. Let k(z) = 3*z**2 - 20*z + 16. Let p be k(c). Let n be 1 + -1 - (0 + -11). Solve -p*m = -g - 2 - n, 3*m - g = 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 6*w**2 + 17*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/11 - 1318*z\/11 + 5240\/11 = 0?\nAnswer: 4, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.68 - -0.08. Let z = 0.1 + w. Let f = 73\/5 + -15. What is the nearest to -1 in 1\/4, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z - 10. Let q be i(2). Let l = q - 20. Sort l, -1, 5, 2 in descending order.\nAnswer: 5, 2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -48, -68, -74, -60, -20, 52, 162?\n\"Answer: v**3 - 2*v**2 - 29*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 324983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 0.02. Let i be 10\/(-15)*24\/136. What is the second smallest value in i, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2 - 2)*0. Let t = -1 + 4. Let o be 1*1\/2*-2. Put o, t, c in descending order.\nAnswer: t, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4710 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Suppose 9*n = 4*n + 3*c + v, 4*c - 12 = 0. Solve 2*s + 4 = -2*t, 0*t - 4 = n*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 + 52*h**4 + 484*h**3 - 532*h**2 = 0.\nAnswer: -7, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80))*-1 + ((sqrt(15) - -1*sqrt(15))*6)\/sqrt(3) - ((6*sqrt(75)\/sqrt(3))\/(sqrt(405)*3))**2.\nAnswer: -101\/81 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21 = 2*p, 6*p + 5*l = 2*p + 45. Suppose 0 = 3*u + 5*m - p, 5*u - m = 4*u - 2. Solve u = 6*q - q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**2 + 3\/4*m**4 + 0 + 6*m - 1\/3*m**3. What is the second derivative of n(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + a4a9c?\nAnswer: a4aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220634855 is divided by 2568.\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-4) + 5*-1. What are the prime factors of ((-1)\/c*582)\/(4\/10)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 6*g = 384. Solve 4*h + g = 12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -8 - 15 - (-1 - -1) - -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 (base 3) in base 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 45.68984mg?\nAnswer: 0.00000004568984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x + 15. Let s be t(0). What is the highest common divisor of 40 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/128)\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -458 in decreasing order.\nAnswer: 2, -2, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*g + 92*g + 95*g - 393*g + 3269 + 102*g to k + w*g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37201 - -65897. List the prime factors of w.\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/3963 (c) 2\/5 (d) -535\/18 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*p - 39, -2*p + 0*i = i + 9. Suppose -3*x + 23 = -y, x + 3*x + 5*y - 56 = 0. Let h = x + p. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19256, -19254, -19252, -19250, -19248, -19246?\n\"Answer: 2*i - 19258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218041*p**2 + 744831*p.\nAnswer: -436082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6973, 13976, 20991, 28018, 35057, 42108?\n\"Answer: 6*r**2 + 6985*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.226 + 0\nAnswer: -0.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 77*u - 76*u - 2, 0 = -4*j + 11*u - 37 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8293 or 8343?\nAnswer: 8293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23122425 - 3?\nAnswer: 23122422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -42. Let l be 22\/77 + 52\/14 - m. Suppose g + l - 3 = 0. Solve -5 = -g*t + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/9 - 2\/4. Let h be 26\/4 - (-9)\/((-45)\/10). Let d = h + q. Which is the second biggest value? (a) d (b) -0.04 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:40 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1802 = -1902. Solve 27 = -j*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 3450600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (338*t**2 + 4*t + 194*t**3 - 338*t**2)*(22 + 9*t**2 - 22).\nAnswer: 1746*t**5 + 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 295023 = -4*o + 887338, -2*o = t - 591185. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 18*z + 32. Calculate r(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 17*w - 10*w - 32*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226939823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106434098, 212868197, 319302296, 425736395, 532170494?\nAnswer: 638604593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, t: 9}. Give prob of picking 3 u.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96694*q + 2*p - 71 = -96703*q, q - 11 = -p for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3015 and -44\/1675?\nAnswer: 15075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5590855518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164550\/63 - 2 - 216\/(-2268) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 964, -11, 10, -1, -2 in descending order.\nAnswer: 964, 10, 7, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 9. Let d be r(-4). Let i be 224\/(-35)*(d - 154\/4). Calculate the greatest common divisor of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -18. Let p be w\/2*-3*6\/18. Suppose c = -2*v + 11, -c + p*v = 2*c + 3. Is c <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*z - 4 - 25, -19 = 2*z - 5*u. Let s be (z\/(-2))\/(54\/(-8)). Let l = -41 + 42. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2)\/((-3)\/4). Suppose 789 = -l + 794, -5*l + 210 = n. Suppose -n = m*y - 11*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.056\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 284\/7*c**3 - 568\/7 + 2\/7*c**4 - 6\/7*c**2 - 856\/7*c = 0.\nAnswer: -142, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**2 - 1325*p - 83430 = 0?\nAnswer: -162, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, -2*b - u + 0 = 6. Let v = 30.7 + 20.8. Let p = v + -52. What is the nearest to 0.1 in p, b, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1113, -2035, -2755, -3261, -3541, -3583, -3375, -2905?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -2\/19 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49213 + 63.\nAnswer: -49150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*n - 58 = 0, 6*x - 11 = 7*x + 5*n. Let y(z) be the third derivative of 0*z - 1\/270*z**5 - 2\/27*z**3 - 1\/36*z**4 + 0 + x*z**2. Factor y(l).\nAnswer: -2*(l + 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 130*w**2 + 2*w + 5. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 19*w - 46 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + b - 28 = 0, 0*b = 2*c - b - 8. Solve -3*m + c + 0 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/55 - 239\/495. What is the common denominator of -57\/4 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 0 + 2\/9*r - 2\/9*r**3 + 0*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 49*u**3 - 1373*u**2 - 136*u + 4586. Give i(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-k**4 + 2 - 2) - 1803*k + 4*k**4 + 50*k**2 + 3590*k + k**4 - 1788*k to j*k**4 + g*k**3 + v + m*k**2 + t*k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11\/5))**(-2\/29)*b\/(b**17\/b)*b\/(b**(2\/3)*b) assuming b is positive.\nAnswer: b**(-6749\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(3125\/(-25))*75\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -60328?\nAnswer: -1\/60328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 + 61*z**3 - 62*z**3 + z**2 + 16*z**2 + 20. Calculate p(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -522 and -572.6.\nAnswer: 298897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 4. Suppose 9 = -4*j + 7*j. What is the third derivative of -j*k**3 + 4*k**3 + 0*k**3 + 2*k**c wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18737.\nAnswer: 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 2. Let w = g + -3. Suppose 5*v + 4*a = 208, -2*v + 69 = -w*a - 1. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**10\/30240 - c**7\/2520 + c**4\/3 - 4*c. Let o(y) be the third derivative of f(y). Find the third derivative of o(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589445388.\nAnswer: 2, 3, 7, 251, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 15. Calculate m(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.7003t in grams?\nAnswer: 731700300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11681, 28, 1 in descending order.\nAnswer: 11681, 28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g**(-2\/11)*(g\/g**(1\/5)*g)\/g*g*g**(1\/5))**42 assuming g is positive.\nAnswer: g**(2856\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 5 + (1 - 0). Let q(p) = 9*p. Let c be q(1). Let y(r) = c*r - 1 - 6*r + n. Let s(h) = 3*h**2. What is s(y(j))?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*d**5 - 79*d - 78*d**2 + 37*d**2 + 41*d**2 wrt d?\nAnswer: -940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*j - 61 = -3*r, 0 = 4*r + 3*j - 129. Let a = r + -7. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6339, -12683, -19027?\nAnswer: -25371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 8 - 23 = 0. Find the common denominator of 0 + (102\/(-20) - v) and 75\/4 + (-12)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -98. Let i be (-5)\/(z + -7) - (-9)\/2. Which is the closest to 0.1? (a) -3 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-11) + (190955\/(-362))\/(935\/136)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996090089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.961367 litres?\nAnswer: 961.367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)\/(q**(-9)*q*q))**(-9\/5)*q*q*q**(1\/5)*q**3*(q\/(q\/((q*q**(-1)*q)\/q)*q))**26 assuming q is positive.\nAnswer: q**(-1178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**6\/180 + n**5\/30 + n**4\/8 + 7*n**3\/3 - 1. Let y(t) be the third derivative of i(t). What is y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, 449, -0.3.\nAnswer: -5, -0.3, 0, 5, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-6))\/((-3)\/(-5 + -22)). What is the second derivative of r**2 - f*r + 46*r + 19*r - 30*r**4 wrt r?\nAnswer: -360*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1562 divide 175254838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = i - 3*i + 27, 75 = 5*i - 5*d. Solve 0 = t + 3*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 28780*u\/11 - 59955602\/11.\nAnswer: -2*(u - 11863)*(u - 2527)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 844116 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**2 - 4728*n - 6299. Let v(s) = 4*s**2 - 2362*s - 3158. Let t(a) = 6*p(a) - 14*v(a). What is the first derivative of t(r) wrt r?\nAnswer: -4*r + 4700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, -20563, 1\/11?\nAnswer: -20563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 99 = w, 0 = 2*w - r - 4*r - 195. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/5*(-1)\/6*176\/264?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54 and -38.8?\nAnswer: 92.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.133513 to two dps.\nAnswer: -97.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:30 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3.5, 1, 15\/4, 733?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62686 divided by 31343.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167138 - -167145.4933. Let h = -4.5 - -12. Let p = f - h. What is p rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3974?\nAnswer: -3974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7123 + -6843. Calculate the lowest common multiple of g and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b - 9. Let h be f(-6). Solve -1 = 5*z - h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 < -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j. Let i be s(-2). Factor -t**4 + 3*t**3 - 2*t**2 - 2*t**i + 2*t**2.\nAnswer: -t**2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 10*r**2 + r - 11. Let k be s(10). Suppose -4*o + 4 = -8. Let w be -8*(o\/k)\/(-6). Does -3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)*(30 - 33). Let n(s) = 161*s - 54. Does 48 divide n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**(-29)*y*y**(-8)*y*y*y\/y**(2\/13) assuming y is positive.\nAnswer: y**(1346\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -7106.\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**13)\/(l**(-24)\/l)*(l**(-5))**(-25) assuming l is positive.\nAnswer: l**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2583*a + 162. Let i(l) = -26*l - 1. What is 2*g(t) + 198*i(t)?\nAnswer: 18*t + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3782*h. Let p(y) = -y. Determine z(p(a)).\nAnswer: 3782*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 12892 = 6260. What is the lowest common multiple of 57 and v?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/5)*x**7*x*x\/(x**(-13)*x)*x**13)**(-34\/9) assuming x is positive.\nAnswer: x**(-6052\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133000331231220 + -2?\nAnswer: 133000331231212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.33729800216 plus 0.42?\nAnswer: -12.91729800216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 48*o**2 - 4*o. Let t be f(3). Let s be -1 + 2 + (-533)\/t. Let l = s - -2\/105. Put -0.5, l, 1 in descending order.\nAnswer: 1, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.386 + -0.214. Which is the third biggest value? (a) 2 (b) u (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.668594 months to years.\nAnswer: 0.3890495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*p*t**2 - 2*o*p*t - 176*o*t**2 + 2681*o*t + 5*p*t**2 + 2*p + 118*t**2 - 69*t + 2 wrt t.\nAnswer: -2*o*p - 352*o + 10*p + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 - -24)*(-1)\/(-4)*2. Solve -u - 10 = -d*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.36? (a) 2\/17 (b) -5\/2 (c) -4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**3 + g**2 - 10*g - 2*g**4 + 2 + 55*g**3 - 32*g**3 to the form n + a*g + f*g**4 + r*g**2 + q*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77547 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1460*b + 4371. What is j(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-40))\/(90792\/4365)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 2*w**3 + 3*w)*(-w - 4 + 4) + (273 - 273 - 66*w**2)*(5*w**2 - 12 + 12) as y*w**3 + l*w**2 + q*w**4 + a*w + b and give q.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 6. Let s(p) be the third derivative of -5*p**4\/24 + 5*p**3\/6 + 2*p**2 - 18. Give -7*s(v) + 6*z(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1.2, -30?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4, 5 + 6 = -2*g + 5*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5802445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23 - (-1 - (-10 + 3)). Let l(r) = r**3 - 16*r**2 - 20*r + 18. What is l(j)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16995, 16955, 16897, 16827, 16751?\n\"Answer: h**3 - 15*h**2 - 2*h + 17011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-5))*y**(1\/4)\/y)\/((y\/(y*y\/(y*(y\/(y\/y**(-5\/7)))\/y)))\/y**(-8)) assuming y is positive.\nAnswer: y**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:23 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -59.27. Let p = g + -0.75. Let a = p + 0.08. What is the second biggest value in a, 2\/3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let x = 15 + -15. Give c(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1201 (b) 3 (c) 1558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*g + 2 = 0, -3*g + 75 - 61 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(1 + sqrt(500) + 0) - (4 + sqrt(500) + 4 + 0 + sqrt(500) + sqrt(500))*-6)**2.\nAnswer: 15980*sqrt(5) + 146709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 5 (c) 1\/8 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -62.5. What is the smallest value in -1\/2, 2, l, 0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309166143 by 1.\nAnswer: -309166143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32*-1 - -3*1. Let l = 113\/4 + r. Let x = -0.11671 + 0.14671. What is the nearest to 1\/3 in l, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -27, -29, -27, -21, -11, 3?\n\"Answer: 2*n**2 - 12*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -567537*h + 651306 wrt h?\nAnswer: -567537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:45 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, -2.4, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120912 is divided by 1081.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 489 - 171. Does 53 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.4 (b) -2\/3 (c) 0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*p**2 - 45505*a**3*p**3*s + 3*a**2*p - a*p - 24*a*s - p**3 + 30*p**2 wrt a?\nAnswer: -72*a*p**2 - 273030*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14694 + -20?\nAnswer: 14674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331222013 (base 4) to base 3.\nAnswer: 222011000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 128?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 10. Let h be (-3 - (-40)\/p)*177. Let l(v) = 28*v + 26*v - h*v. Let r(s) = -2*s**2. What is l(r(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*h - 505, 2*o + 185 = 4*h - 3*h. Suppose 4*c + h = 3*s, -5*c = -0*c + 5. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27569, -55141, -82713, -110285, -137857?\n\"Answer: -27572*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 - 11*t + 18. Let s be g(8). Sort -4, s, 2, -2.\nAnswer: s, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3*3*-1. Let l = -9 + 8. Let g = l - w. Which is the nearest to -0.1? (a) 4 (b) g (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*p - 15, 5*p - p = -4*r - 16. Let z be (r - -1) + (-2 - 1). What is the third biggest value in -0.2, z, -4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x**2 + 1. Is 9 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**4 - 230*f + 261*f - 23*f**4 - 1 in the form u*f**3 + g*f**4 + o*f + h*f**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9406920*g**3 - 28903975*g?\nAnswer: 56441520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/120 - k**5\/12 - k**4\/8 - 7*k**2 + 6*k + 2. Let t(l) be the first derivative of u(l). Give t(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 12*z**3 + 6*z**2 + z - 15. Suppose f(s) = 0. Calculate s.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4*(70\/(-75) - -1). What is the fourth smallest value in -5, n, 0.13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171 - 1624*t**2 - 46*t + 1051*t**2 + 48*t wrt t?\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4614520*o**3 + 11712427*o wrt o.\nAnswer: -27687120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 97?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5246 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -125*h. Let u(o) = 2903*o**2 - 1463*o**2 - 1456*o**2. What is r(u(p))?\nAnswer: 2000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -1 - 7. Let b(z) = -7*z**3 - 5*z**2 - 13*z. Let f(q) = 119*q + 91*q - 4*q**2 - 6*q**3 - 222*q. Give n*b(x) + 5*f(x).\nAnswer: -2*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 438*y**3 - 4*y - 229*y**3 + 2*y - 208*y**3 + 4*y**4 + y**2 - 2*y**2 - 5 in the form p*y**2 + k*y**4 + h + i*y**3 + n*y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -94. Let v be (-3)\/(-2 - a\/32). Suppose v = -0*r + r. Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75143513717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 2767751.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 1 = 2*x. Suppose -x*s + 53 = -16*s. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((16\/6)\/((-78)\/117)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + 479. Let x = -126 + q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -90.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*j**2 + 15*j - 9*j - 23*j**2 - 5*j + 218*j**2 - 18*j**2.\nAnswer: -5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 4*c + 1. Let s be h(3). Suppose 4*b - m = -0*m + 13, 3*m + 13 = -b. Sort -3, b, s.\nAnswer: -3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*b**3 + 0*b + 1\/3*b**4 + 0 + 1\/3*b**2.\nAnswer: b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4989290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-r + 0 + 0)*(65*r**3 + 31*r**3 + 51*r**3)*(r + 0 + 0).\nAnswer: 294*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 + 12*w - 16. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152)*-2 - sqrt(152) - (sqrt(152) - -2*sqrt(152)*-3))*-2)\/((6*1*sqrt(64))\/(-2*sqrt(128) - sqrt(8))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20653 + -13413. What are the prime factors of t?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:09 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2. Let o(h) = -2*h + 25. What is o(p(f))?\nAnswer: 8*f**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41223324 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 56 = 25*b. Let z be (-3)\/(-15) + 99\/5. Solve -5*i = 2*v + z, 3*i - 3*v = -b - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/5 + 8*j**4\/5 + 2*j**3 + 4*j**2\/5.\nAnswer: 2*j**2*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 9*f + 12. Let i be d(10). Suppose 0 = -3*z + i + 7. Suppose -5*m + 42 = 2*j, z*m + j - 25 = -0. Solve 3*r = -r - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 4, -1 in descending order.\nAnswer: 4, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 56\/(-12) + 5. Let r(g) = -g - 1. Suppose -2 - 3 = 5*a. Let f(n) = -2*n. What is a*f(k) + i*r(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-20)\/(-1 - -3). Let r = 1\/15 - 17\/30. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, x: 1, g: 1, z: 1, v: 2}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.8509982*-2\nAnswer: 3.7019964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-262)\/(-12) + 1\/6. Let x = 25 - f. What is the second derivative of -181*z**3 - 2*z**4 - x*z + 181*z**3 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.1 - 30. Let r = t + -3. Let j = -1417\/14658 + 1\/698. What is the nearest to r in -2\/17, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t - 28*t - 8*t)*((-t + 0 + 0)*(-t + 0 + 0) - 7*t**2 - 7*t**2 + 3*t**2).\nAnswer: 250*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 17*x**3 + 25*x**2\/2 + 44. Find the second derivative of m(w) wrt w.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 698 divided by -2128\nAnswer: -349\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 2070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-15))\/((-8)\/(-100)). Suppose -k*q + 0*q + 10 = 0. Sort 4, q, -2 in ascending order.\nAnswer: -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/39*(-3)\/(-2). Which is smaller: -3\/13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/20 + z**5\/30 - 10*z**2. Find the third derivative of o(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + s - 1)*(-1 + 0 + 3) - 2*s - 5*s + 3*s)*(2*s + 0*s + 0*s)*(573 + 4*s + 311 - 306) to the form k*s**3 + w*s**2 + v*s + d and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992 and 6320.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313009210.\nAnswer: 2, 3, 5, 77100307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14081*y**6 - y**4 + 26645*y**2 - 2*y.\nAnswer: -1689720*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*y = -203*y - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -5*j**7\/42 + 307*j**4\/12 + 20*j - 2. What is the third derivative of v(c) wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.158 * -141.1.\nAnswer: -22.2938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from {f: 1, w: 1, g: 2, r: 2, n: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.218244 and -0.2.\nAnswer: -0.418244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5872 - z**2 - 5878 - 9*z + 11735. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 500?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o - 100*o + 46*o - 38*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyhy when four letters picked without replacement from {h: 1, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40924 + -40921. Suppose 0 = 2*w - 47 + 1. Sort r, -5, w in descending order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37106253 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -5*w**2 + 0 + 1\/2*w**3 + 3*w. What is the remainder when l(7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134659 is divided by 270.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8*(-4)\/(-40))\/(2\/5). Suppose -2*b + 4*f + 4 = 2*b, s*f = -3*b + 8. Let t be (1 + -2)*-5 - (-9)\/(-3). Is t smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*a, 2*p - 4 - 8 = -3*a. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/38)\/(1\/32). Suppose -t = -4*k + 3*t + 20, -5*t - w = -4*k. Suppose 0 = k*l - 7*l - 146. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 - -129. Let j be 4\/14 + 478\/(-56). Let s = j + l. Which is the third biggest value? (a) 1 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554914.\nAnswer: 2, 17, 19, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/416 and 5\/3005408.\nAnswer: 39070304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-o**4 - 3*o**4 + 2*o**4) - 36*o**4 - 157*o**4 - 42*o**4 - 35*o**4.\nAnswer: -272*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/228*(-8)\/(-12)*-6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292626 divided by -3?\nAnswer: 1292626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 24 = 20. Solve -2*b - o = -g*o, -4*b - o + 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60575\/2 - 28830. Let y = 1486 - l. Let a = -2893 + 28859\/10. What is the common denominator of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - b)*(-2*b - 3*b + 3*b) - 3*b**2 - 4 + 4 + (-3*b + 2*b + 0*b)*(1 + b - 1) + 1 - 2*b**2 - 1.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315196 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 34749.\nAnswer: 34751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(1573) - (sqrt(1573) + -2 - sqrt(1573)))) + (sqrt(832) + -3 - ((sqrt(52) - ((sqrt(7488)*2)**2 - sqrt(52))) + sqrt(52))).\nAnswer: 57*sqrt(13) + 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -3, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 27. Let g(q) = -q**2 + 4*q + 7. Let w be g(b). Suppose 0*h**w + 0 + 3\/2*h**3 + 0*h = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2\/(-7)*(-7)\/(-3)). Let l(o) = 18*o**2 + 4*o - 4. List the prime factors of l(a).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/(-1) + 12. Let y(c) be the first derivative of 2*c**3\/3 + c**2\/2 + 7*c + 12. Is y(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17.991891ms?\nAnswer: 0.0000049977475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/40*((-44)\/(-154))\/(24\/70)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 24*d = 3*t - 66 + 12, 180*d + 2*t - 22 = 175*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1170 and 5340?\nAnswer: 208260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586598469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 2 y when four letters picked without replacement from kxynbtykn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 93 + 8. Suppose 2*f - 38 = 14. Calculate the remainder when d is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d. Let w(b) = 2*b - 108656. Give w(h(c)).\nAnswer: 8*c - 108656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4089.\nAnswer: 4\/4089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c - c - 4*c**3 + 3*c**3 + 3*c**3 + 3*c**3 - 3*c**3 - 2*c**3 + (-3 + c + 3)*(-3*c**2 + 0*c**2 + c**2).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -364.33 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:33 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17708b4 (base 14) to base 10\nAnswer: 11564942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.314473 centimeters?\nAnswer: 3144730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t + 3. Suppose 0*b = -3*b + 4*n + 44, 0 = -4*b + 3*n + 47. Let c be m(b). Calculate the common denominator of -13\/16 and c\/(-10) + (-6)\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*1 - 12*(-4)\/6. Suppose m*f + 2*g = 2*f + 29, 4*f = 2*g + 48. Solve -f = 5*a - 4*p, a + 6 = -4*p + p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*k**4 - 6 + 70*k**4 - 2*k**5 - 36*k**4 + (-3 - 2*k**2 + 3)*(-k**3 - k**3 + k**3) + 0*k**5 + k**5 - 2*k**5.\nAnswer: -k**5 + k**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2899?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let y(t) = t**2 + 136463*t. Give y(l(b)).\nAnswer: b**4 - 136463*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-2 + (-9)\/(-3)). Let d be 8*1 + j\/4. Let x(f) = -f**3 + 6*f**2 + 9*f - 10. Let m be x(d). Solve -2*n - 4*o = 16, 4*o = 5*n - 2*n + m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose 20 + 0 = -i*v. What is the remainder when (3\/9)\/(v\/(-708)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12207 is divided by 1239?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13882 and 9874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 10, f: 2}. What is prob of sequence fj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7042*i - 375 - 3155*i + 901 - 177*i wrt i.\nAnswer: 3710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2122 + 6729 + 199*x - 31*x + 2449 + x**2 = 0. What is x?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1775119.1.\nAnswer: -8875595.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*y + 1729 = 129, 2*j - 1612 = -2*y. Let p = j + 40. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a factor of 122491262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55711971 a multiple of 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 1123, 2528, 4493, 7018, 10103?\nAnswer: 13748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 - 4)*(3 - 2 - 2)*(-2*j + 4*j - 6*j) to m + h*j and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66105 - 39124. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.04 (b) 2 (c) -4 (d) 4 (e) 0 (f) 75 (g) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -84, -103?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39597*g**2 - 39597*g**2 + 118898*g**2 - 39698*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) -0.26 (c) 0.4 (d) 4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35301*n - 1817. Let h be u(3). Round h to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, e: 1}. What is prob of sequence oe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429297303.\nAnswer: 3, 143099101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*a + 3*a = 25, 5*a = t - 29. Solve -7*l + l - t = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1406 and 57094316.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -15*s + 63. Let j(n) = 8*n - 35. Let a(i) = 7*j(i) + 4*l(i). Let y(g) = g - 2. Calculate 2*a(k) + 7*y(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 711, 1547, 2679, 4089?\nAnswer: 5759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnzn when four letters picked without replacement from nnznnknnn.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5442 + -5440. Solve 5*f + 17 = 4*k, 4*f + b = -2*k - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -20, -56, -116, -206?\n\"Answer: -r**3 - 3*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 37. Let m be 34\/(-289) - 6\/153*-54. Solve h = m*w - 3*c + 8, 3*w - c - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41434, 41441, 41454, 41473?\n\"Answer: 3*y**2 - 2*y + 41433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*6 + 3*sqrt(76) + -1 + 4*-1*sqrt(19)*-3 + ((1*sqrt(190))\/sqrt(10) - ((-2*sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(19) + sqrt(19))).\nAnswer: -1 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 735400 to the nearest 10000.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58186686 a multiple of 1078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2*v + 2*v - 2*v**2)*(-4 + 1 + 1)*(-2*v + 0*v + v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j**3 + 4*j**2 - 13*j + 4. Let r(v) = -13*v**3 - 3*v**2 + 14*v - 3. Let l(b) = 4*r(b) + 3*z(b). What is the second derivative of l(i) wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 41. Is 7 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078\/(-231) - 3968\/(-93).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4935, 4934, 4925, 4902, 4859?\nAnswer: 4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 9*z + 18.\nAnswer: (z - 6)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2090 + -16751\/8. What is the common denominator of r and 8\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 23*t = -120 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 2, r: 2, d: 1, v: 1}. Give prob of picking 1 y and 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -0.5 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**12)\/(b**(11\/6)*b) assuming b is positive.\nAnswer: b**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 0.26.\nAnswer: 0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(20).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17716 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaahvchhaaachha. Give prob of sequence uh.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/3 + 15556*s**2 - 93332*s\/3 = 0. What is s?\nAnswer: 0, 2, 46666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 72474*i**2 + 8291277*i + 236579184.\nAnswer: -3*(i - 24272)*(i + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215, -196, -143, -38, 137, 400, 769?\n\"Answer: 3*d**3 - d**2 + d - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, 0.8, 1\/6, 3, 2, 4.4, 22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 875472, 875469, 875466?\n\"Answer: -3*t + 875475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28964 - -29936. What is the highest common divisor of 168 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 533.31725 to one decimal place.\nAnswer: 533.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3\/3 - 2*v**2 + 6*v + 1. Let d(w) = -2*w**3 + 7*w**2 - 12*w + 22. Let u be d(6). Let t = u + 225. What is m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 333.352 and -49.1.\nAnswer: -16367.5832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 67, -0.07, -2, -0.1 in descending order.\nAnswer: 67, 2, -0.07, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 2*3\/(-6). Let z be 2\/(1 + 0 + j\/9). What is the second derivative of -16*k**z - 21*k**3 + 13*k**3 - 28*k wrt k?\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 223754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135574 - -1766?\nAnswer: 137340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 455906.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7608 divided by 4\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**5\/60 - x**4\/6 + x**3\/2 + 7*x**2. Let c be l(4). Solve 4*f - 9 = c, -2*v + 13 = 5*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 0*l + (-1 + 0 + 0)*(-2*l - 1 + 1) + 3*l - 4*l + 3*l)*(3 - 2 - 3).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -290.\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f - 114 + 327*f - 90 + 204 as x + p*f and give p.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*((-132)\/(-220))\/((-9)\/10)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 8) to base 3\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/(-6) + 30\/45. Let h(n) = -n**3 - 14*n**2 + 16. What is the tens digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaaaaaaaaaa. What is prob of picking 1 a and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 1421 = -3*s + 5*s. Calculate the remainder when s is divided by 122.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37191 - -219?\nAnswer: -36972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 + -198. Suppose -3*p - 4*w = -1, -4*p + 0*w = -3*w - 18. Solve 1 = -m*g + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + 26. Solve 2*x + 2*g + 16 = -3*x, 13 = x - q*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61169261 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 568 = -2*m. Suppose l = 0, 4*f - m = -5*l + 24. Let g(p) = p**2 - 5. Let b be g(4). Calculate the greatest common divisor of f and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28449 - 22339 + 9523 = 917*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*r = 114, 0 = -3*r - 9. Suppose -7*n = -7 - v. Suppose 110 = -2*s + n*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4086573221 - -4086574120.9998396. Let o = 900 - s. What is o rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.4 + -34.4. Which is the third biggest value? (a) z (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnjc when four letters picked without replacement from {n: 1, c: 4, j: 5, x: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.726 + 8.726. Let i = 2.92 + -3. Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/35)\/((-1)\/7). Let n be (h\/(-6) + -3)*-3. Suppose 3*c - 2*c - 4 = 0. Calculate the highest common divisor of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -220. Let f = p - -81. Let v = f - -35. Let d(j) = 4*j**3 + 2*j**2. Let m(t) = 5*t**3 + 3*t**2. Calculate v*m(b) - 3*d(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 65*p + 305. Determine d(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + 141\/12. Let x be (-7 + 1)*21\/(-6). Suppose x + 19 = 5*b. What is the greatest common divisor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -285*u + 5. Let l be n(-2). Suppose 0 = -2*j - 3*j + l. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 + 116*b\/13 - 4816\/13.\nAnswer: 2*(b - 28)*(b + 86)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81167 is divided by 1268.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133367279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341479293 to the power of 1\/3, to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)*t*t**(-1\/5) assuming t is positive.\nAnswer: t**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - 130. Let k(j) = -j**3 - 8*j**2 - 6*j - 44. Let o be k(-8). Sort c, -2, o, 2 in increasing order.\nAnswer: -2, 2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 284\/(-3692) - (-1 - (-166)\/208)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 2*sqrt(475)*2).\nAnswer: -40*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 5*p + 12*p)*(-p**3 + 4*p**3 - 2*p**3) - p**4 + 234*p - 2*p**3 - 231*p - 2*p**3.\nAnswer: 18*p**4 - 4*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/71595744 and -103\/160?\nAnswer: 357978720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 171 - 57 = 4*s, 4*s = -h + 26. Let r(a) = -a**3 - 8*a**2 - 5*a + 4. Let o be r(-7). Let y = h + o. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 0, 4*r - 95 = -2*t + 15. Let o = 67 - t. Solve -8*q - o*q**2 - 8\/3 = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*b - 17980 = 36*b - 391*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 3\/7, -4, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5\/35) - -4. Let s(p) = -5*p + 47. Give s(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let h(j) be the third derivative of -j**7\/420 + j**5\/12 + 6*j**2. Let w(r) be the third derivative of h(r). What is f(w(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxj when four letters picked without replacement from {s: 1, n: 4, j: 4, x: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 41 = 2*c + 2*j, 3*j = 3*c + 36. Suppose -437*q + 103*q = -185*q. Put c, -2, q, 3 in descending order.\nAnswer: 3, q, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 548 + 476. Suppose g = 8*o - 3*o - 2526, 3*g = -2*o + a. List the prime factors of o.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/5*(-15)\/(-1). Suppose 1 = l - i. Let t(k) = -k**3 - 17*k**2 - 4*k - 42. Let g be t(-17). Is l != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7053 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47600 from 83.801749.\nAnswer: 47683.801749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081062 rounded to the nearest 1000?\nAnswer: 1081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 6 = 0. Is h less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4\/275 (c) -0.0086 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 707, 1763, 3251, 5177, 7547?\nAnswer: 10367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 61567.1 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2 - 2*p + 2. Let g(i) = 17 - 3*i**2 - 17. What is k(g(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(360)*-1 + sqrt(360))\/((-1*sqrt(14))\/sqrt(7)))\/(4*sqrt(576) + (sqrt(1728) - sqrt(48))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2 + 323*u + 126. What is x(54)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 0.35.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 540408895+3\nAnswer: 540408898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88277993 or -88277995?\nAnswer: -88277995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 13. Let x = 8 + -4. Suppose 5*b + 17 - 56 = -3*a, -x*b + 12 = -4*a. What is the least common multiple of o and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + 16 - 1) - (-15 - -23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -1) + (-84)\/8*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.1 + -46.71. Let n = y + -0.09. Let s = n - -6. Which is the second biggest value? (a) 0.4 (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -7*s**5\/5 - 93*s**4\/4 - 11*s + 14. What is the third derivative of p(h) wrt h?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c\/(c**(-2\/5)*c)))*c)**(-21)\/(c\/(c*c*(c**(-3)\/c*c)\/c)*c**(4\/3)) assuming c is positive.\nAnswer: c**(-506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4864.59886 to the nearest 10.\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooa. What is prob of picking 2 o and 1 a?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 3, e: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 1011100000101110010100?\nAnswer: -1011100000101110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/12)\/(75\/(-36)*160\/(-200)). Put -157, 5, 4, v in ascending order.\nAnswer: -157, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48580 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-1)\/10). Let y be 8\/5 - (-2)\/g. Suppose -129 = y*u - 5*u. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 greater than -3942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22833 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 92a4 (base 12) to base 5\nAnswer: 1002324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4*x + 22, -575*w + 5*x = -573*w + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 46. Suppose -3 = -3*f - 2*y, 3*y - 3 = -f - 9. What is the first derivative of q**f - 305 + 293 + l*q**3 wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 11, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -27*n**2 - n. Let i(d) = -16*d + 1. Give i(u(c)).\nAnswer: 432*c**2 + 16*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 66*d + 5. Calculate the remainder when g(13) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3520 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72*842.\nAnswer: 60624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or -25722\/415?\nAnswer: -25722\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -0.03, -8\/263, -37, 2?\nAnswer: -8\/263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 88695846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -33, -71, -143, -261, -437, -683?\n\"Answer: -2*i**3 + i**2 - 5*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 10. Let c be s\/(10\/(-6)) - -15. Let w(i) = -i**2 + 16*i - 9. Calculate the remainder when w(c) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13314 is divided by 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 11*v + 81, -5*b + 204*v - 202*v + 9 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(272) + 3)*-4*-3.\nAnswer: 108 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 <= -128087\/1465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 4486444*a + 2516022470642.\nAnswer: 2*(a + 1121611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let z = 440 - 436. Sort 0.2, z, 3, r in decreasing order.\nAnswer: z, 3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-252)\/(-9555))\/(6\/20)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204504234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/7 + 3*i**2\/14 + 6*i\/7 - 73. Factor g(o).\nAnswer: -3*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/120 + r**3\/12 - 9*r**2. Factor b(u).\nAnswer: -(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117484 is divided by 5951.\nAnswer: 4415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 911349 take away -7456?\nAnswer: 918805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 3*j - j - 2 + 2 - j + (1 - 1 - 1)*(3*j + 2 - 2) + 5*j - j + 0*j in the form h + u*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (3 - 20) + (110 - 64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.02.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 8, -1, 121.5, 0, -2\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 2*l + 1. Give g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2 + 5)) + 4 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, 35, 6 in increasing order.\nAnswer: -19, -3, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225676117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16731515*m**2 - 300677295*m?\nAnswer: 33463030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*264\/720*-5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -21\/11 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517861820 to the power of 1\/2, to the nearest integer?\nAnswer: 22757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/(-10625))\/((-2)\/34).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*g**2 - 112*g**3 + 284*g**2 + 290*g**2 + 80*g**3.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 358443 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 650239433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 44.87. Let l = 45.2 - s. What is the closest to 2 in -1\/8, l, -0.02?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62532\/(-27020)*(-10)\/(-6)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.41 - 43. Let h = p + -0.28. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 34. Let h be k(6). What is the third derivative of 4*q**5 - 92*q**2 + 206*q - 206*q - 24*q**4 - h*q**5 wrt q?\nAnswer: 120*q**2 - 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11.05. Let y = f - -0.15. Which is the third smallest value? (a) -3\/4 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-94)\/1)\/(4\/(-6)). Suppose -9*d + 11*d = 98. Suppose -4*b = 3*x - 373, b + d = -x + v. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 874 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7425.392 decades to months.\nAnswer: 891047.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82828*f**5*q**3 - f**4*q**2 + 7*f**2*q**3 + 13385*f**2*q + 2 wrt f.\nAnswer: -4969680*f**2*q**3 - 24*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2496)\/sqrt(3) - sqrt(13)) + (sqrt(156)\/(sqrt(12)*3))**2)*-4 + 4.\nAnswer: -28*sqrt(13) - 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11009 + -6008. Suppose 0 = 5*s - b - 334. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -132. Let s be ((-200)\/15)\/(2\/y). What is the greatest common divisor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/935 and 19\/595?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*x - 33. Let t = x - -7. Calculate the common denominator of ((-17)\/t + -2)*51 and -37\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 1, i: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 41. Let i = 23 + v. Let b(n) = -9*n. Let j(q) = 35*q. Let c(a) = a**3 + 2*a**2 - a - 15. Let f be c(0). What is f*b(h) + i*j(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 155*h**3 + 29*h**2 + 5. Let j(q) = -31*q**3 - 6*q**2 - 1. Let n(w) = -11*j(w) - 2*l(w). Find the third derivative of n(c) wrt c.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 25, 1, -2, -6\/11, -4\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1212 - -1216. Let u(q) = -q - 5. Let t be u(-6). Suppose 7 = -3*a - 5. What is the nearest to t in s, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*3*(sqrt(325) - (sqrt(325) + sqrt(325) + 0) - sqrt(325) - sqrt(325) - sqrt(325))*-3 + -2)**2*2.\nAnswer: 8640*sqrt(13) + 30326408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000122 + -1002121220?\nAnswer: -1010122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 4. Let x = 0.03 - -0.37. Let r = -13 + 12.8. What is the biggest value in r, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 1. Let o = -12 + s. Factor 2*u**4 + o*u**2 + 6*u**4 - 6*u**3 - 6*u**4.\nAnswer: 2*u**2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12. Suppose -4*q + 4 = -5*q + 3*o, -8 = 5*q - 3*o. Let a(s) = 5*s**3 + 5*s**2 + 9*s + 3. Let k be a(-1). Sort h, k, q, -3.\nAnswer: k, -3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/12*(-4041)\/(-3592)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**8\/2352 + u**6\/210 + u**5\/210 - u**4\/56 - u**3\/21 + 489*u**2. Determine z so that n(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -6. Let o(r) = -3*r**3 + r**2 + 3*r - 6. Let b(t) = -t**3 + t**2 - 1. Suppose 2*g + 6 = 5*g. Let d(f) = g*b(f) - o(f). Determine d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, q: 2}. What is prob of sequence qqh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.312, 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.23, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84759532 and 1716.\nAnswer: 254278596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98889287 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Express -s + 153*s**2 + 2*s**3 - 153*s**2 + (-2*s + 3*s + 0*s)*(-803*s + 52*s**2 + 803*s) as j*s + z*s**2 + b + r*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470694372 is divided by 625?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 425944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2\/2 - 87*p\/2 - 285 = 0. Calculate p.\nAnswer: -19, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519 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: Differentiate 565959*q**3*w + q**3 + q - 236250 with respect to w.\nAnswer: 565959*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -6*k + 4*k. Let f be (k\/(-39))\/(1\/3). Let g(p) = -p**2 + p. Let b be g(1). Solve b*n = 2*n + f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -w + 23 - 14, 0 = x - 5*w + 10*w + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16334 + 16374 = -5*p + 2*v, 0 = -3*p + 6*v + 15 - 63 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 95, 92, 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70048 (base 9) in base 7?\nAnswer: -251012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o**3 + 50*o + o**2 - 50*o. Let x = -1 - 0. Determine r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*l**2 - 317*l**2 - 301*l**2 + 964*l**2.\nAnswer: 71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*x**3 + 161*x**2 wrt x?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) 2923055\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1377) + -2 + -4 - (-1 + sqrt(1377)*2)*3)**2.\nAnswer: 720*sqrt(17) + 34489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8893*l - 8851*l = -1260 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Which is the third biggest value? (a) 1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -944600.\nAnswer: 7\/236150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*t = -92*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/2)\/(3\/474). Let h = v - -830. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361726 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27945606 divided by 2149662?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1730470*u**2. Let t(a) = -a**2. Determine g(t(i)).\nAnswer: -1730470*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*l + l - 14, 3*h = -l + 10. Suppose -s + 6*p - 8*p - 12 = 0, -h*p = 4*s + 24. Is (s - -6)*1934\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 3307 = -3343 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + 4 + -1*6*(sqrt(605) - sqrt(605)*-3))**2.\nAnswer: -1584*sqrt(5) + 348491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/6))\/f**(2\/7)*f*f\/f**(-1\/4)*f*f**(5\/3))**(-16\/9) assuming f is positive.\nAnswer: f**(-1948\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29915?\nAnswer: 5, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 4254248\/9 and 472695 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -23*b + 204. Let r be a(9). Is 25 a factor of (-1)\/(-1) - (-1168 - 21) - r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + 5*x - 3. Suppose -6*w = -5*k - 2*w + 80, 5*k = 3*w + 85. What is the lowest common multiple of k and m(-5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 3 + 5 + 22 + 3*f**2 - 16 in the form a*f**2 + x*f + k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161008219.\nAnswer: 61, 1103, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose -2*g + 2*a - w*a + 29 = 0, -4*g = 4*a - 52. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1138*f**2 - 227*f - 240. Calculate t(-1).\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4410 and 40?\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9666.819 - 9671. Round u to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35289 divided by 11763?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + 36. Suppose -k*p = -77*p + 546. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x + 166. What is the hundreds digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, x: 1}. Give prob of sequence lxq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.028 + -0.972. Let j = 4 + -4.42. Let z = j - 0.08. Which is the fourth biggest value? (a) i (b) z (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187\/5 or -2?\nAnswer: -187\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 - 2*p**3)*(13 - 3*p**2 - 12 + 1 + 2*p).\nAnswer: 6*p**5 - 4*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/11 - 390*v**4\/11 - 3648*v**3\/11 + 22678*v**2\/11 + 25935*v\/11 = 0?\nAnswer: -13, -1, 0, 5, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002009605274 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8366*r. Let p(l) = -17*l**2 + l. Give p(i(z)).\nAnswer: -1189829252*z**2 + 8366*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 1:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f)**(-18)\/(((f\/f**(4\/5))\/f)\/(f**4\/f)) assuming f is positive.\nAnswer: f**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -344207*f + 2329383 wrt f.\nAnswer: -344207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqqwwqvovqraoaqoo. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46941 + -2b7?\nAnswer: 46646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907727 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1943\/5 + -342493\/880. Let f = v + 11\/16. Which is the nearest to f? (a) 1 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.3 (b) -0.04 (c) 97 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2873606*n**2*t**2*x**2 - 11*n**2*t*x**2 + 25*n**2*t*x - 2*n*t**4 - 6*n*t - 347*t*x**2 wrt t.\nAnswer: 5747212*n**2*x**2 - 24*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 28 (b) -2\/7 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3034444558?\nAnswer: 2, 1517222279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 77*-3*(-2)\/3. Let c = -1405 + 1419. Calculate the highest common factor of m and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3 + 3*r**2\/2 - 9. What is the second derivative of n(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607 - 569. Calculate the remainder when f is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 20*l**2 + l. Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 150 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00554244 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-10)\/(-5)*4\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9736 = 8*a - 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -49503.142\nAnswer: -49505.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 + 2*u - 4. Let x be b(4). Suppose -5*c + x = -q + 19, 2*c = 4*q - 78. Suppose -7*g = -12*g + q. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454.0215 milliseconds to minutes.\nAnswer: 0.007567025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*u + 3154 - 536. Which is the second smallest value? (a) -23 (b) 0 (c) u (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56377125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 50*w + 250*w - 2065 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 + 1 - 3*c + 3*c**3 + 551*c**4 - 554*c**4 - 6*c**2 as o*c + a*c**3 + s*c**4 + y + d*c**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 314514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/120 - u**5\/4 - u**4\/12 + 31*u**3\/6 + 8*u**2. Let x be a(15). Sort x, -4, -6, 4 in increasing order.\nAnswer: -6, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9546*s**2 - 4759*s**2 + 4*s - 4*s - 249 - 4789*s**2.\nAnswer: -2*s**2 - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*(6 + -10). Suppose -o*p + 7*p = 355. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 - 1. Let h be g(-1). Let y be (-3)\/(-15)*(-2)\/h. Let z = 0.3 - 0.4. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngtn when four letters picked without replacement from nnjgnjtgn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 18}. Give prob of picking 2 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 25 = 4*j, -9 = -0*m - 3*m. Solve 2*c - 3*h = 11, -h = 5*c - 3*c - j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12900 and -55\/104.\nAnswer: 335400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7207 divide 1949457465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -150. Suppose 3*k + 696 = y*v - k, -4*v + 3*k = -700. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378 divided by -54\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:36 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7731 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 38.4.\nAnswer: -230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11636 + 11635.5. Which is the fifth biggest value? (a) -0.15 (b) -1 (c) r (d) -4\/3 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 85*i**2 - 100*i + 180.\nAnswer: 5*(i - 18)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -363814697 rounded to the nearest one hundred thousand?\nAnswer: -363800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -808 (base 9) to base 13\nAnswer: -3b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-616*v + 1794*v + 253*v)*(6*v + 5*v**2 - 6*v) to the form u*v**3 + r*v + b + g*v**2 and give u.\nAnswer: 7155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + -1 - -30 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + 0.1983.\nAnswer: -0.6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -203324 (base 5) in base 6?\nAnswer: -51030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5684*u**2 - 580*u**3 + 5684*u**2.\nAnswer: -580*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {h: 9, f: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/315 + 23*n**6\/45 + 1103*n**5\/45 + 115*n**4 + 225*n**3 - 296*n**2. Suppose h(t) = 0. Calculate t.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -2 (b) 25 (c) -24\/2015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2245534 - 1?\nAnswer: -2245535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-15\/4)\/z*z**(-3\/2) assuming z is positive.\nAnswer: z**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.6 - -3.3. Let w = f + 4. What is the third smallest value in 4\/9, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31119 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11029 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 137\/291, 11 in descending order.\nAnswer: 11, 0.5, 137\/291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65 (b) 141 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/234? (a) -9.95 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*a\/((a\/a**(2\/5))\/a)*(a**(-2\/5))**(-15\/2) assuming a is positive.\nAnswer: a**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-16) - (140 - 138).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11308461 divided by -9?\nAnswer: -3769487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 30. Let s be f(-12). Let j be (-440)\/66*s\/4. Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 + y - 2. Let s be q(2). Suppose s = -i - 3*i + 96. Let l(o) = o**2 + 3. Let j be l(0). Calculate the highest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2060, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5386*h**2*q**2 - 2*h**2*q + 11*h**2 + 2*h*q**4 - h*q + 1 wrt q.\nAnswer: -10772*h**2 + 24*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**3\/6 + 2*b. Let c(l) = -13*l - 1. Let n(j) = -c(j) - 3*u(j). What is n(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 5*a**2 + 0*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-312) + 8\/(-48).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -0.700007. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163688?\nAnswer: 2, 7, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*l**2 + 1)*(-l + 8*l + l) + (2*l - 1 + 1)*(-4*l - 2*l**2 + 4*l) - 4*l**2 - l**3 + 4*l**2 as z + q*l**2 + y*l**3 + h*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -27. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 5, k: 1, a: 1, e: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201.23 - 220.261. Let o = 211.8 + -231. Let d = x - o. What is d rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1. Let b(z) = -988*z - 2962. Let y be b(-3). Let n(x) = -2*x**2 + 1. What is y*u(d) - n(d)?\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.1. Let h = 21.19 + -17.19. Which is the closest to 5\/3? (a) q (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(-4 + 4 - j) - 11*j - 64 + 64 + (3 - 1 - 1)*(-3*j + j + 4*j))*(-j - 5 + 5).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62870361 or 62870360?\nAnswer: 62870360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032132100 - -1?\nAnswer: 3032132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.04. Let z = -30 - 27. Let j = -54 - z. Which is the nearest to -1\/3? (a) -0.4 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 14492?\nAnswer: 144a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-2)*6 + (sqrt(152) - (sqrt(152) - (sqrt(152)*1*6 - sqrt(152)))))\/(sqrt(56)\/(-2*sqrt(7)*2)).\nAnswer: -92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 12*c**2 - 11*c - 2. Let n be p(-11). Let s be (n*5)\/((-300)\/74 + 4). Suppose 8*l + s = 9*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*j - 5)*(3 - 3 + 2*j) + (-j**2 + 0*j**2 + 0*j**2)*(0 - 16 - 13) in the form x + o*j**2 + t*j and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 50. Let o = l + -52. Let u = 0 - 8. Calculate the common denominator of u and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j**2 + 0*j + 1 + 2*j + 43*j**2.\nAnswer: -8*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1))\/2*(-2)\/4. Let d be 1 + m + (-27167)\/7. Is (d\/6)\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15788 and 2799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11 + 2\/11*k**2 + 4\/11*k = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1768*b**5 - 38*b**4*g - 2*b*g - 2169*g - 1 wrt b.\nAnswer: 35360*b**3 - 456*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96127, -96124, -96121, -96118, -96115, -96112?\n\"Answer: 3*v - 96130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/78)\/((-94)\/(-940))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -0.29, 3, 1997\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53508)\/130)\/(-42) - 9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188 - -182) + (2 + -3 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -t - 3*n, 0 = -5*t + 4*n + 3102 - 2909 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 30 - 22. Let x = -162 - -162. Solve x = -3*l - t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*z + 11. What is the remainder when 39 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 85\/(-2)*(-8)\/50. Suppose 0 = 12*a - 10*a + 3*j - 22, 38 = 5*a - j. Do i and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/49)\/(2295\/170).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a hour in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/19 + -65\/38. Let g = j - -7\/6. Let s = 0.03 - 0.33. What is the second smallest value in s, g, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(n**3 + 3*n**3 + 0*n**3)*(6821 - 15822 + 6936) to a*n**3 + x*n**2 + k + o*n and give a.\nAnswer: 8260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 21 = -p + 42*o, 18 = 3*p + 3*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87210 and 1235.\nAnswer: 1133730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33973876 by -16986938.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -1531, -3451, -6139, -9595, -13819, -18811?\nAnswer: -24571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4\/7 - 716084*s**3 + 10025188*s**2\/7 - 5012596*s\/7 = 0.\nAnswer: -1253149, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 271 = 151 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 846?\nAnswer: 846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 118. Let r be (-99)\/(-45) - (x\/10 + -2). What is the first derivative of -12 + 63 - 178*m**r + 162*m**2 wrt m?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92370743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(38)\/sqrt(2) - sqrt(19)) - (sqrt(19) - (sqrt(57)\/sqrt(3) + sqrt(19) + 4)))**2.\nAnswer: 12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsssxggx. Give prob of picking 1 x and 2 g.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-13 + (22 - (-3 - -15) - 13)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrrr when four letters picked without replacement from {r: 3, n: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-541 + 541 - 2*v - 6*v**3)*(3 - 4 + 0 - 18 - 1 + 0 - 3 + 3 + 1 + (7 - 2 - 3)*(-2 - 1 + 2))*(-v + v + 2*v).\nAnswer: 252*v**4 + 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*c + 136*c - 989. Calculate the remainder when 146 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-9 - -2) + (1 - (-19 + 5 - -7))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 154210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddcdlllwcwcdcdlcccp. Give prob of sequence cclp.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -357, -714, -1069, -1422?\n\"Answer: q**2 - 360*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37870349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15501 + -15436 - (-1 + 53)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:56 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (80\/100 - 61\/(-5))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*z - 36, 29*z + 5*r = 33*z + 13 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(8) - (sqrt(24)\/sqrt(3) + -1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:12 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889939 less than -0.1671?\nAnswer: -2889939.1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g - 2*t - 240 = 0, 3*t = 2*g - 245. What is the remainder when g is divided by 65?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n = -45*n - 237 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3 - 0)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdebbbbbbbbbddbb. Give prob of sequence bdb.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -396841399921 + -0.3\nAnswer: -396841399921.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3400)\/(-153) + (-12 - 43\/((-1548)\/424))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q + 48. Let b be j(24). Is b*(2 - 8) - (4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 704 - 703.7. What is the nearest to 0.13 in c, -4, 0.4, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*u - 5)*(16*u + 2*u - 4*u) as s*u + c + m*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206848775, 206848772, 206848757, 206848724, 206848667, 206848580?\nAnswer: 206848457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55857339?\nAnswer: 3, 6206371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 - 955 + 17*c**2 + 479.\nAnswer: 17*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 3834*y**3 - 14166*y**3 - 39 + 6*y**2.\nAnswer: -10332*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299348929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.28*0.0754202\nAnswer: -0.021117656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1573)*-1 - (sqrt(1573) + sqrt(1573)*2 + 5) - (sqrt(1573)*2*4 + (sqrt(1573) + 0)*-5))**2.\nAnswer: 1210*sqrt(13) + 190358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoooxooxxxox. What is prob of picking 1 o and 2 x?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 0.4. Let f = -0.3 - c. Let x = f - -0.1. What is the closest to 0 in x, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 128*((-39)\/(-12) - 3). Calculate the greatest common divisor of 48 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 7*g**2 - 8*g - 14. Let v be t(-6). List the prime factors of ((-8)\/5*-1)\/(v\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-189 + 107)) + -120.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*m**3 + 6*m**3 - 67*m**3 + (1 + m - 1)*(m**2 + m - m).\nAnswer: -85*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2\/(-12)*15\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3762675*d**4 + 35*d**3 - 8*d**2 - 42917*d - 3 wrt d.\nAnswer: -90304200*d + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5876 = 5764. Suppose -4*r - 3*i + 16 = -13, 5*i - 15 = 0. Let j = -1 + r. Solve 5*u + 4*h - j - 8 = 0, -2*u + 4*h = -m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -22. Let q = -7 - w. Let f(h) = 2*h + 48. Is f(q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 7\/490*1834\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -92. Let x(b) = -5*b + 17. What is the remainder when q*((-4)\/10)\/1 is divided by x(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22446, 22465, 22484?\nAnswer: 22503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6026794 divided by -3013397\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*z + 33 = 0, -4*d + 4*z = z - 1. What is the second derivative of -3*x - 3*x**2 + d*x + x wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/8)\/h)\/h)\/h)**46 assuming h is positive.\nAnswer: h**(-529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 32 = -32*w + 27*w, -96 = 5*v - 19*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 371497\/3 (c) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g**2 - 2*g - 18. Suppose 6 = 2*x - 3*i, -1 = -3*x + 2*x + i. Let f be o(x). Let h = f - 96. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 3*s, 0 = 3*t - s + 335. What is the remainder when ((-1)\/2)\/(1 + 116\/t) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1691 divide 35944642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215 + -179.8. Let z = g + -15.3. What is z rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 28*f**2 + f - 145. Calculate the remainder when r(-4) is divided by 70.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1835, 8, -5, -1, 3, 0 in ascending order.\nAnswer: -5, -1, 0, 3, 8, 1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2055719.833 to the nearest one thousand.\nAnswer: -2056000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19.1. Let y = 7.1 + o. Let q = 5.8 - y. Put -2, -1, q in ascending order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 23*g - 32 - 57*g**3 + 0*g + 5*g**3 - 42*g**2 - 34*g**2 + 46*g**3. Give j(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102200808 a multiple of 2627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 6\/11 (c) 2.5 (d) 9 (e) 6441\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 80. Let u be (-528)\/2*(-15)\/r. What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 27*c**2 - 56*c + 185. Let t be n(15). Solve 5*u = 3*u - 5*f - 20, 5*u - 5*f = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**7)\/c*c*c**(-6\/7)*(c**(-1\/2)\/c)**(-2\/191))\/(((c\/((c\/(c*(c*c\/c**(-2))\/c))\/c))\/(c**0*c))\/(c**(1\/4))**(3\/10)) assuming c is positive.\nAnswer: c**(-575789\/53480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1587 + 2*j**2 + 561 - 4 - 1680 to l*j**2 + i + n*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i + 35. Let s be f(5). Solve -s*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346674 or -346660?\nAnswer: -346674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -372 - -412. Solve 5*i + 3*i + j = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/9516 and 31\/891454?\nAnswer: 69533412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vteejtvqtrrttevrttt. What is prob of sequence qvej?\nAnswer: 1\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k - 2584 - 7628. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-2772)\/56)*(-27)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48598394 to the power of 1\/2, to the nearest integer?\nAnswer: 6971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-four fifths of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 124.7 (b) -2\/13 (c) 0 (d) 338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*k - 954*o + 958*o, k - 11 = 4*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 549*x**2 + 143*x + 9. Is l(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = 4*z - 9, -p + 3*z = -18. Suppose p = 3*i - 0. Suppose -2*k - j = 2*j + 6, 5*j + 11 = -i*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10.65194 years?\nAnswer: 0.1065194","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 230008521 rounded to the nearest 100000?\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 11*f**2 + 8*f - 27. Determine y(-11).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*n - 3*n. Let h = 0 + n. Solve -h*t + 5*t + 2 = -3*a, 4*t - 5*a - 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 24. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 3*o, 5*o = 2*v - 39. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8, -13 = -4*j + 5*p - 41. Let w be (-3)\/(-3) + (j - -2). Let o = w - -8. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21)\/308*-5732 - (-4)\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 7*o + 574 = -27*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6*x + 3*x + 14931, 3*x - 14928 = 5*z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -81*x + 42. Let c be r(2). Which is smaller: -121 or c?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1052*v**2. Let f(y) = 2*y - 15. What is j(f(i))?\nAnswer: 4208*i**2 - 63120*i + 236700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:57 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6, -2*k + 2*v - 4*v - 154 = 0. Let j = k + 212. Calculate the remainder when j is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6465 + 2*k**2 + 6465.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.9 + -33.8. Let i = -3 - -3.8. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2. Let o(u) be the first derivative of 5*u**2\/2 + 6. Calculate k(o(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-8)\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 21. Calculate the highest common factor of 133 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 - 13*f - 5. Suppose 63*w - 19 = 67*w + g, 4*w - 5*g + 49 = 0. What is l(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 0.386.\nAnswer: -1.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 + 10*a**2 + 7*a + 7. List the prime factors of v(-4).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1044 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3405*o - 23145 - 79430 = -1738*o + 2436*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from tyobtqk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/30 - (-8)\/10. Suppose 2*s + 0*s - l = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/4, -439, 1\/15 in increasing order.\nAnswer: -439, 1\/15, 1\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2, -63 = -5*d - 3*c - 27. Let r(o) = o - 4. Let a be r(d). Solve 6 = a*y - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.992955 rounded to 1 dp?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980010 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4 = q - 7, 0 = -2*q - 3*w + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 977860 and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2604, -3, -2, 5, 2, -39 in ascending order.\nAnswer: -39, -3, -2, 2, 5, 2604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 825880, 825882, 825884?\n\"Answer: 2*x + 825878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 34*w. Let c be -1 - -5 - -10*(28\/(-40))\/7. Let a(d) = 2*d**2 + 34*d. What is c*a(z) - 2*v(z)?\nAnswer: 2*z**2 + 34*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9785 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 21, 33, 47, 63, 81?\n\"Answer: a**2 + 7*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -76\/1621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 6\/4*-6. Let s = -7 + f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 5, -2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*i + 5, -3*z + i + 32 = 0. Let r = z + 6. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g**3 - 15*g**4 + 29*g + 2*g**3 - 27*g. Let m(c) = -75*c**4 + 11*c**3 + 11*c + 1. Let b(l) = 2*m(l) - 11*o(l). What is the derivative of b(f) wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/(k\/k**(-4\/9)*k)*(k\/(k\/(k**3*k)))\/(k*k**1))**(-1\/51) assuming k is positive.\nAnswer: k**(1\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose -3*t - 4*x + x = 0, 3*x + 12 = n*t. Suppose j - t - 1 = 0. Which is smaller: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 795, 1590, 2385, 3180, 3975, 4770?\n\"Answer: 795*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(729)\/sqrt(3).\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 5 - b - 3*b - 3 - 7*b. Let j be x(9). Let m = j - -18. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l - 5. Let w(x) = x**2 + x - 4. Let y(i) = 4*w(i) - 3*z(i). Let a(u) be the first derivative of y(u). Calculate a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Suppose -t + 2*s - 1 = 0, 4*s + 4 = h*t - 12. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*t - 38, 0 = -4*t - 0*t - 4*b - 100. What is the tens digit of 1 + 3\/(-3) - t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddrddrrdddddddrddr. Give prob of sequence rr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-2)\/1*1. Let f(y) = 2*y**2 + 6*y + 1. Let n be f(t). Let i = n - -11. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1121958 + -286097936\/255. Let t = x + -62\/15. Suppose -t - 10\/17*g**2 - 54\/17*g = 0. Calculate g.\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -470, -1964, -4456, -7934, -12386, -17800, -24164, -31466?\n\"Answer: 2*y**3 - 511*y**2 + 25*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfh when four letters picked without replacement from foffofhfofffhffhff.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 4*h - 2*h - 6. Let a be w(5). Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - 6*j)*(-11*j + 5*j + 0*j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyy. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 1. Let d(t) = 4*t**2 - 3 + 10*t - 1 - 6*t. Let h(m) = m + 1. Let y(r) = -r - 2. Let a be y(-7). Let f be h(a). Calculate f*z(o) - 2*d(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.2095 - -12.21001171. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14224*q. Let p(f) = -1507*f**2. Give p(z(x)).\nAnswer: -304899519232*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 1. Let h be x(9). Let v(w) = 6*w - 6. Let g(m) = -17*m + 20. Let l(u) = -3*g(u) - 8*v(u). Calculate l(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 1954*x**2 - 21*x - 981*x**2 - 974*x**2 + (-x - 1 + 1)*(-4 + x + 4).\nAnswer: -2*x**2 - 21*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 159.\nAnswer: 340\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427*q - 120*q + 217*q + 105*q - 1 + 3 to the form t + v*q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 754 and -273?\nAnswer: -205842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -59*r**2 - 1. Let n be s(-1). What is the smallest common multiple of (-488)\/n + (-2)\/15 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/7 (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1.619, -0.9, 5, 21\/10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(308\/14)*(-1)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 55, 19 in decreasing order.\nAnswer: 55, 19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -18 + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(((-13)\/14)\/(-13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -2 + -3 + 5. Suppose -3*g + 2*y + 16 + d = 0, -3*y = 2*g - 16. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let p be 6 - 4 - (0 + u). Suppose p*x - 2*s - s = 28, -4*s = -5*x + 36. Solve -4*b = -x + 24, 0 = -k + 4*b + 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 8 = -5*x + 20*x - 2*s, -4*x - 5*s + 4 + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 2*f - 2. Let p be b(-6). Suppose -94 = 5*v + p. Let w = 75 + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bb485 (base 16) in base 10?\nAnswer: 7058565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*u + 159*u + 28105 = 0. What are the prime factors of u?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*g - 5*n, -4*g + g - 3*n = 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*v**3 - 373*v**3 + 156*v**3 + 116 + 214 wrt v.\nAnswer: -1656*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r. Let u(w) = w**2 + 12. Calculate i(u(k)).\nAnswer: -8*k**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1\/4, 5, -25\/8 in decreasing order.\nAnswer: 5, 1\/4, -2\/7, -25\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274027529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from ukecueuuuicuuccc?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-2)\/3 + -4. Which is the smallest value? (a) -3 (b) f (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*t**4 - o*t**3 - 885*o - 2*t wrt t?\nAnswer: 8*o*t**3 - 3*o*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 673.998879 + -674. What is i rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(78) - (sqrt(78) + sqrt(78) + -2*sqrt(78)))*1)\/((sqrt(6) - sqrt(36)\/(1*sqrt(6)) - sqrt(18)\/sqrt(3)*3)*-6) + -5.\nAnswer: -25*sqrt(13)\/18 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**2 - 6*r**2 - 5*r**2.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 31*m**2 + 16*m - 173. What is the tens digit of h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k - 5. List the prime factors of g(-5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a + 67. Let k(m) = 17*m - 134. Calculate 3*k(s) + 7*q(s).\nAnswer: 2*s + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0 = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuubdduoauado. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5933 + 160153\/27. Calculate the common denominator of a and -61\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-2))\/(165\/(-99)))\/((-21)\/(-196)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(3\/8)*t)*t*t**(-25)*t)\/(t**16\/(t\/(t**(4\/13)*t)*t)) assuming t is positive.\nAnswer: t**(-4023\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -441, -807, -1175, -1545, -1917?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*27\/(-144)*-12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182479172*u*w + 37*u - 286060 wrt w?\nAnswer: 182479172*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 6. Give i(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4105.784506 to one decimal place.\nAnswer: 4105.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m + g + 40 = 22*m, 0 = -m - 3*g - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0 + l + 3)*(-165 + 165 - 9*l) to r + b*l**2 + p*l and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9787541?\nAnswer: 179, 54679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:09 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**7\/18 - 23*u**6\/18 + 9*u**5\/4 - 65*u**4\/36 + 5*u**3\/9 + 10*u. Determine t, given that w(t) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) 0.5 (b) 1 (c) 16 (d) -0.5 (e) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u + 3. Let c(j) = -4*j - u*j - 4 + 2*j + 0*j. Suppose 0*o - 4*o = -28. Let t(n) = -4*n - 3. Give o*t(d) - 5*c(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 11. Let r be w(8). Let m = r - -7. Suppose -2*n + m = 3*n. Solve n*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -190*j - 1145. Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 128 = -0*i + 3*f, 5*i - 130 = 5*f. Suppose 5*p = i + 20. Solve 0 = 4*z - p + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4729 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6136\/3 + -42811\/21. What is the common denominator of 5\/5617 and n?\nAnswer: 39319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492*p**3 - 957 wrt p.\nAnswer: -1476*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4\/56 + 4739268\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 154650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.8 + 46.8. Let p = 368\/543 + -2\/181. Which is greater: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miicswmq. Give prob of sequence imq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(m**2 - 3*m + 3*m) - 19*m**2 - 11*m**2 + 22*m**2 + 3 - 2*m**2 - 3.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 192\/(-5)*(-60)\/18. Suppose 0 = -21*x + 40 + i. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = r + 4*u, -r = -5*u - 2. Suppose 5*z + 2*l - 108 = -2*l, -3*l = r*z - 46. Let t = 20 - z. Solve -d + 3*p = -9, -2*p - p - 12 = t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109276256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/(-784)*((-5)\/(-2) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 3 (b) 0.1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 27. Let l(f) = -f - 7. What is 9*l(p) - 2*q(p)?\nAnswer: p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -23.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009138281 rounded to 6 decimal places?\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242343 times 0.2?\nAnswer: 0.0484686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 - 87 - 46*b**2 + 87.\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16236 is divided by 309?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.071 + 0.271. Is -16 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332941 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/2)\/((-1)\/((-3652)\/33)) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = -187*z - 154. Sort -3, z, -5, 42.\nAnswer: -5, z, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 10*i)*(-2 + 0 + 1) - i + i - 2*i - i - i + 3*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 13) to base 14\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -688\/5. What is m in -6\/5 + 3\/5*m**2 + y*m = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/375? (a) -1 (b) -0.5 (c) -1\/4 (d) -209 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznnnkdneeekinn. What is prob of sequence dedi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 7*a**2 - 5*a + 5. Let d be m(-4). Suppose 2*h + 3*x - 48 = 0, 0 = -d*h + 4*h + 2*x + 120. What is the remainder when 118 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - q - q + 3*q + 6949.\nAnswer: -q + 6949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 4022835*y + 20114300.\nAnswer: -5*(y - 5)*(y + 804572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p + 2*p - 3*p)*(0*p**2 + p**4 + 0*p**2 + (6 - 6 + 3*p)*(-7*p**3 + 2*p**3 - 2*p**3)).\nAnswer: -180*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176)*-1*-1 + sqrt(176) + sqrt(176) - sqrt(176) - sqrt(176)))**2 + -2.\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64223 - 42664. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 1\/1632, -2\/2219 in decreasing order.\nAnswer: 1\/1632, -2\/2219, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from rcoorcfccoorcofcro?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 136506.65 and -2600.175.\nAnswer: 133906.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 3*m - 50 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjz when three letters picked without replacement from jjjjzjzjzjjzzzzzzjzj?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yieywiyybiieyybeyyb. Give prob of sequence ebe.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1361824 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18730 + -9807. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 3*p + 2*p**2)*(-46 - 80 + 15) - 4 - 2*p**2 + 3 - 3*p + p in the form k*p + l*p**2 + f and give l.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**4*v**3 - 51623*r**3*v**3 - 147*r**2*v**3 - 6*r**2*v**2 - 94*r**2 - v**2 wrt r.\nAnswer: -144*r*v**3 - 309738*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*p + 164*p = -10. Suppose -p*w + 792 = 7*w. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose -10 = -5*f + 5. Solve -2*u - l = -f*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (5 + -1056) - -8. Let f = 1069 - g. Solve -5*q + 3*r = 8, -2*r + 5*r + 20 = -f*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a**2*n**2 + 19*a*n**3 - 3*n**3 - 57 wrt a.\nAnswer: -12*a*n**2 + 19*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33\/44*48\/198\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 666606997 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -54, -70, -100, -150?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 423\/(-54) - (-12 - -4). Suppose d - 5 = 2*r, -4*r - 5 - 4 = -d. Let l = -2 + -2. Which is the nearest to g? (a) l (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 40338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, c: 2, e: 4, p: 3, u: 2, n: 1}. Give prob of picking 1 p, 1 c, and 1 f.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270858720 divided by 120?\nAnswer: 2257156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 10*h. Suppose 23 = 4*m + 3*x, -39 + 12 = -3*m + x. List the prime factors of a(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/21 + 1 - 14\/(-49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 941 - 35)*(-o**4 + 0*o + 0*o + (-5*o**2 + 4*o**2 - o**2)*(-o**2 + 2*o**2 - 3*o**2) - 3*o**4 + 4*o**4 + 0*o**4).\nAnswer: 3872*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 smaller than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 18*c - 38*c + 2*c.\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -12. Suppose 5*t - 5*k - 34 = r*t, 15 = t + 2*k. Suppose -t = n - 3*i, -i = -3*n - 1 + 2. Solve 5*g + 4 = -4*p, -n*p - 1 = g + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:14 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36678 divided by 2.\nAnswer: -18339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/60 - 149*f**5\/90 + 119*f**4\/18 + 32*f**3\/3 - 4*f**2 + 53*f. Factor h(t).\nAnswer: 2*(t - 48)*(t - 2)*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2 + y**2 + 2*y**2 + y**2. Let c = 2 - 0. Let b(w) = -3*w**2 - 2*w**c + 0*w**2. Determine b(m(x)).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5544 by -198.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let k(m) be the third derivative of -m**4\/12 + m**3\/6 - 16*m**2. What is the units digit of k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1027?\nAnswer: -4108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:45 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 37 = -2*i + 10*q, -20 = 5*i - 3*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -5*h + i + 5 = 0, -20 - 11 = -b*h - 5*i. Are 7 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*u, -5*w + 0 = 3*u - 6. Let c be (0 - (1 - 1))\/(-24 + 25). Find the second derivative of c*r**3 - 15*r + 0*r**w + 2*r**5 + 6*r**5 wrt r.\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + 1.2. Let o = i - 2.00000011. Round o to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Let a = -0.179 - -34.179. What is the smallest value in f, a, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 389 = -11. Solve -b*r + 2*d + 1 + 3 = 0, -5*r + 8 = -4*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2236337, -4472667, -6708997?\n\"Answer: -2236330*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 52516437?\nAnswer: -4\/52516437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 9290*m - 167228\/9.\nAnswer: 2*(m - 41807)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 3:52 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t**3 + t + 1. Give l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41.9 + -73.8\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 123*i - 1881. Give a(105).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 0*h + 5*h - 15 = 0, 2*b - 3*h - 8 = -7*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2664\/288)\/(3\/(-12)))\/((9\/6)\/3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.397257 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5*p + 10)*(p + 1 - 1) - 16*p**2 + 22*p**2 + 62*p**2.\nAnswer: 73*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1911094*t**5 + 4*t**3 - 235686854*t.\nAnswer: 38221880*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -6295.025264.\nAnswer: -6294.025264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*l*y + 809175*k*l + 5*k*y + 30307*l*y + 1839*y wrt k?\nAnswer: l*y + 809175*l + 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s + 2. Let u be c(-4). Suppose 0 = -u*y - 2 + 8. Find the third derivative of 2*a**2 - 4*a**3 + 4*a**3 + y*a**6 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m + 10*m + 4 - 3*m - m. Let a be (-260)\/25 + 0 + (-12)\/(-30). Let l(z) = z + 1. Let w(q) = a*l(q) + g(q). What is the derivative of w(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17836)\/3773*33\/(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-4) - ((-4)\/4 - 5). Let f(j) = 3*j**2 - 8*j + 4. Give f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -0.34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18106 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(51)\/(sqrt(270)\/sqrt(10)) + -3*(5 + 6*(sqrt(17) - sqrt(68)\/sqrt(4))**2) + -5.\nAnswer: -20 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 - c - 38. What are the prime factors of z(-5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -104. Is 0 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 20. Let o(t) = -t**3 + 3*t**2 + 13*t - 2. Let l be o(p). What is the greatest common divisor of l and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - x + 5 = 0, 2*x - 7*x + 7 = m. Suppose 0*k = 2*k + m. Let a be (k - 0)\/(3\/(-363)). What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710*r**3 + 119*r**2 - 711*r**3 - 69*r**2 - 50*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17622 + 29785. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 21*o - 16*o. Is -15 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194250.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*k - 51*k - 69*k - 82*k.\nAnswer: -141*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 4*b. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 10) + (-3)\/5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -47. Suppose 0 = 4*p - 3*p - h. Suppose p*c = 4*k + 104, -5*c - 3*k + 4*k = -215. What is the remainder when c is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 90. Let n(x) = -4*x - 2. Let j = 3 - 7. Let k be n(j). What is the greatest common factor of k and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15865?\nAnswer: 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-343084.\nAnswer: -1715420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 299 = -2. Solve 0 = -3*z + 5*z - 3*p + r, 0 = -5*z + 3*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(-2\/31)\/((n\/(n*n**(-1)\/n*n*n))\/n*n)**(11\/3) assuming n is positive.\nAnswer: n**(-4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 - 2 = 2*m, -5*m + 9 = 2*y. Let k be ((-14)\/(-147))\/(y\/(-6)). Are 2 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24204 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-136)\/(-22) - (-3 - (-35)\/11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012*k + 6944 = -79572 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4160 and 2210.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*d + 1049 = 997, 4*d = -f + 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*v - 6 + 2, q - 10 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*x - 1425 = -106*x + 2929 - 32434 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 743227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 3 + 9*f**2 + 10*f**2.\nAnswer: 3*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*x = 7*x - 8, -2*v - 4*x + 24 = 0. Suppose 3*s - 757 = -v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19578*t**3 + 15*t + 13. What is the tens digit of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/33196 and 26\/473?\nAnswer: 365156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*2 - sqrt(187))\/sqrt(11).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/((-230)\/(-40695))*4\/6 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djdjrddrdttjr. What is prob of sequence jrjr?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/78)\/(1\/3). Which is the closest to o? (a) -0.7 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + 27.75. Let r = -27.7 + m. Which is smaller: -5\/4 or r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26279\/113913 or -1?\nAnswer: -26279\/113913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*a + 4*s, -3*a - a - 5*s = -24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k - 572. Give y(-12).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*j**3 + 5*j - 5*j - 69*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/36*(-12)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/4 + 4*t**3\/3 - 3*t**2\/2 + t - 9. Let h(x) = x - 3. Let d be h(6). Calculate w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:51 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 21, 28, 31, 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90)\/((-336)\/(-1134)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 260. Let q = 15 + -10. Suppose q*r - 12 = 73. Solve 2*t + 4*u + r = -p, 2*u = -5*t - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/11100744 and 59\/240.\nAnswer: 111007440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*y - 115, 25*v - 23*v = -6. Suppose -153 = 5*q - 4*b, 4*b + 12 = -0*b. Let f = y + q. Which is smaller: f or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 - 2.5. What is the second smallest value in 4, i, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let w(t) = -54*t**2 + 9*t - 8. What is -18*g(h) + 2*w(h)?\nAnswer: -108*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + -1*(sqrt(80) + (2 + sqrt(80)*-1)**2) + 2*sqrt(80) + 2 + -5.\nAnswer: -90 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a. Suppose -2*n + 20 + 16 = a. Solve 6 = -4*t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.284 or -1\/150?\nAnswer: -1.284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/60 - 7*u**4\/24 - 8*u**3\/3 - 15*u**2. Let o be x(9). Solve -5*n - 16 = -4*b, -4*b + 0*n + o*n + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03370055 times 0.4\nAnswer: 0.01348022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-168)\/7)\/4)\/2 - (-15 + 2). Solve -5*n - 10 = -2*q + 5*q, -q + 5*n = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -631423 - -115?\nAnswer: -631305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185)\/(11100\/(-768))*(-10)\/2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2669341393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = -d, 2 = d + s - 0*s. Let m(j) = -3*j + 3. Let c be m(d). What are the prime factors of 4\/(c\/39) + 1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -7*i - 15. Suppose i*j = 56*j - 49. Solve -5*v - 22 + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l\/(l**(-8)\/l)*l)\/l*l**(-5\/2)*(l\/l**(-2\/11))\/(l\/(l*l**(-1\/5)))*((l\/(l**(-8)*l)*l*l)\/(l*l*l**4))**23 assuming l is positive.\nAnswer: l**(11163\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 5109?\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5469656 is divided by 5469638?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*k + 9. Suppose 4*r + k = f, 6*r = -3*f + r - 1. Suppose 24*q - 12*q = -28*q - 75*q. Solve f*c - 15 = -q*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**15*x))\/(x*x**(-10))*(x\/(x\/(x\/x**(4\/11))))**(-4\/11) assuming x is positive.\nAnswer: x**(-875\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375749849 and 21524?\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10844*a**2*r**3 + 17*a**2*r**2 - 6532*a**2 - 5*a*r + 246*r**3 - 2*r wrt r.\nAnswer: -65064*a**2 + 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39679, 39694, 39725, 39778, 39859, 39974?\n\"Answer: f**3 + 2*f**2 + 2*f + 39674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611644247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -2, 1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 - 12*n - 7. Let t(z) = z**2 - z + 1. Let x be t(1). Let k(r) = r**3 + r**2 + 1. Let i(v) = x*k(v) - p(v). Let i(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6825 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/28)\/(((-6)\/189)\/(3\/90)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 15*s**2 + 7. Let l be o(15). Let a(w) = 0*w**3 + 0 + 2 - l - 5*w**2 - 5*w - w**3. Suppose -20 = 2*c + 3*c. What is a(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 264, 939, 2036, 3561, 5520, 7919, 10764?\n\"Answer: k**3 + 205*k**2 + 53*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456358*m + 456373*m - 912753*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395\/126 - 3\/2*(-32)\/864?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/3 + 34*5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/150*-10 - 528\/(-30). Solve -6*k - c = -0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, k: 2, b: 4, r: 2}. What is prob of sequence rwkk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjfjfmijjijf. Give prob of sequence fm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 16. Put o, 2, 0.1 in descending order.\nAnswer: o, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/3 - (-3 + 3). Suppose -p = -2*o + 14. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/32*(-24)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*g**6 - 6*c*g**3 - 2*c*g**2 + 26*g**6 + 2*g**2 - 309 wrt g.\nAnswer: 240*c*g**3 - 36*c + 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37926?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3987062 is divided by 664499.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from {t: 10, n: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 447\/92?\nAnswer: 447\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5502*n - 4413?\nAnswer: 5502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5138151?\nAnswer: 3, 19, 109, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*1 - sqrt(864)*2)\/(1*-3*4*sqrt(3)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-6 - (-13 - -4 - -10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 6 - 18. Suppose f = -4*u + 6*f + 11, 0 = r*u - 2*f - 10. Suppose 91 = u*s + 19. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*p + 0 = 84, -123 = -2*w - 3*p. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 - 2*y**3 + 0*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 132*r - 58. Is n(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(57\/(-95) + (-627)\/(-1320)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85\/4 of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.69 - -34.81. What is m rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206\/7 - -29. Let m be (-1 + 4)\/(316\/(-12)). Let l = m + -3817\/474. Calculate the common denominator of u and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 10) to base 6\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 819 and 113958.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1578247600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -51*o - 111. Give u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68333750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -194b (base 12) in base 10?\nAnswer: -3083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 61 + 61)*(-68*c + 38 - 36 - 3).\nAnswer: -884*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 5*x**2 + 2*x - 4. Let z = 154 - 149. Let k be b(z). Solve -2*l = -2*r - k, 3*r - 2*r = -l - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1820625.66ns to weeks.\nAnswer: 0.00000000301029375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1893928*s**2 + 62383*s + 937 wrt s.\nAnswer: 3787856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**6 + 9*q**4\/4 - 14*q - 29. Let f(l) be the first derivative of r(l). Find the third derivative of f(y) wrt y.\nAnswer: -720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003535107 rounded to 5 dps?\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from yyoo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(425))**2 + sqrt(34)\/(sqrt(2)*1 + sqrt(2)) + -1 + (sqrt(153)*1 + 2 - 5*(sqrt(17) + sqrt(68)*1)**2))*-5.\nAnswer: -235*sqrt(17)\/2 + 1675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.3. Let l = 69 + -162. Let s = 373\/4 + l. Which is the second smallest value? (a) s (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:24 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**3 - 9*v**2 + 4*v - 9. Let m(f) = -37 - 5*f**2 + 2*f**3 + 2*f + 33 + f**2. Let j(p) = -9*m(p) + 4*o(p). Suppose j(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471 + -469. Determine o, given that -4\/3*o**3 - 2*o**z + 0*o + 2\/3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*r**3 + 16*r**3 + 35*r**3.\nAnswer: -102*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1768 by -5.\nAnswer: -1768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7368 - 7363. Solve -10*g - 5*y + 25 = -5*g, -m*y - 15 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - 4*n - 2 + 2*n + 2 + (-1 - n + 1)*(-5 + 2 + 1) + 17*n + 3*n + 0*n)*(-1 + 2 - 3).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y - 8. Let n be c(6). Suppose 4 = -2*g - n. Let s = 83 + g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*5 + -2*sqrt(68) + 5 - ((sqrt(68) - (2 + sqrt(68))*-1) + -1))**2*5.\nAnswer: -1120*sqrt(17) + 66720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4254)\/(-9926)*((-14)\/(-3))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*k + 27458 - 27477, 5*k = 5*l - 20 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4 + 4)*((2 + 0 + 1)*(3*l + 0 + 0) + 5*l - 3*l + l) + 0*l**3 - 5*l**3 - l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhx when four letters picked without replacement from hhhhhxhhhxhhhhhhxhxx.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, y: 8}. What is prob of sequence nny?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1756 and 903462?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -13, 4.\nAnswer: -91, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -77 - 126 - 429*i + 872*i - 441*i. Let k(u) = -3*u**2. Give c(k(h)).\nAnswer: -6*h**2 - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 12) to base 10\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1210 - -1209.99999599. What is l rounded to 7 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22086961 + 22088288.0617. Let i = v + -1327. Round i to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 6*a + 260. Let i be d(13). Solve 3*y + 5*c - 12 = 0, i = -7*y + 10*y + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v - 3. Let f(n) = v - n + 0*n + 3. Give f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k + 35. Find the first derivative of 0*i**3 - 3*i**3 + 3 + 23*i**3 + k wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - (1 + -1)) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -654165*n**3*x**3 - 2*n**3 + 19*n**2 + 83*n + 3*x**3 + 1 wrt x.\nAnswer: -1962495*n**3*x**2 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 9*d**2 + 9*d - 3. Let z(n) = -n**2 - n. Let w(x) = 2*l(x) + 18*z(x). Differentiate w(v) with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5607373 and -5607373 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-721)\/21*(-3)\/(-5). Let n = l - -3428\/165. Let z = -4\/15 + n. What is the third smallest value in -0.4, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - -368. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*m - 5*j, -3*m - 8 = -4*m + 4*j. Suppose 6*h = c + 2*h - 18, 0 = -5*c + h + 185. Calculate the remainder when c is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*s + 4, -2*g + 3*s + 12 + 1 = 0. Solve 4*m + 0*m - 2*k + 4 = 0, 3*k - 6 = g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/3 + 2074*n. Let c(t) = -21*t + 2. Calculate l(c(x)).\nAnswer: -42*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 10*c**2 - 2*c + 24. Let n be m(10). Suppose n*t = 16, 24*x - 2*t = 22*x + 1054. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/80 + (-608)\/(-60) + 10.\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 6) to base 13\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -h, 2*h - r - 9 = 2*r. Let o = h + 1. Let g(m) = -m**2 - 2*m + 4. Let y(z) = 1. Give o*y(q) - g(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60590 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 4*z - 173 + 520 - 175.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s + 66. Let r be n(6). Suppose -3*w + 2*w + 12 = 0. Suppose w = u - d, 1 + r = -d. What is the remainder when 43 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -104, -151, -198, -245?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/56449 - 9765737\/1693470. Calculate the common denominator of 11 + (35875\/168)\/(-25) and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*d + 24335, -d + 8114 = 4*l - 2*l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - -4)*1\/1. Suppose -14*g = -a*g + 40. Calculate the smallest common multiple of 33 and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 - 2*m + 2. Let y be s(3). Suppose 3*n - 2*t - 136 = 145, 4*n + 5*t = 413. Let r = n - 82. Solve -2*g + y*g - r = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2 - 16*k - 12. Let h(y) = 5*y**2 + 8*y + 6. Let u(f) = -3*b(f) - 5*h(f). Determine p so that u(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -261 - 10353. Let t = 8919 - v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 2\/5, -1.2, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.7 and 2.\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -620.0645 - -1.1645. Let u = -662 - d. Let z = u + 43. Which is smaller: 0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 3. Let m be f(4). Calculate the smallest common multiple of 83\/m - 14\/63 and (-15)\/(-12) - (-156)\/16.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*y + 16740 = 319*y - 425*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5894 = -2*b, -6 = -15*b + 17*b. What are the prime factors of n?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17262 + 2*a**3 - 634 + 21878 + 18626 + 57960*a + a**3 + 831*a**2.\nAnswer: 3*(a + 1)*(a + 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -17.648656.\nAnswer: -14.648656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/(3*5\/(-30)). Let a be (-18)\/15*5\/(-2). Let z(j) = -4 + 11 - 5 + a*j. Give z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s + 375. Determine u(-46).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - -3*1*sqrt(7)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2600 or -29055?\nAnswer: -29055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 24. What is the remainder when 45 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16196 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.016? (a) 1\/3 (b) 1 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 1:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1102 and 86302294?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from jplhnljjjnjhzlnpnjh?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -310, 1, 1\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = o - 2*g - 1, -5*o + 5 = -2*g. Let t(r) be the first derivative of -o - 2\/3*r**3 + 2*r**2 - 2*r. Factor t(h).\nAnswer: -2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 4 = -15*w. Let h = -843 - -18543\/22. Is h at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31067412 - 4?\nAnswer: -31067416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 - 4. Let q = 15843\/6890 - -2\/3445. Let k = 19\/30 - q. Which is the nearest to r? (a) k (b) -0.5 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 14, 7, 2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-45)*(14\/3 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*f + 4*f**3 - 237*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*j + 13, 1 = 4*m + 9. Suppose 4*s - j*s + 75 = 0. Suppose 6*p - p = s. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 95*z**2 + 719*z + 2000. Give t(-87).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748313 and 3670?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*9\/(-6)*(-2)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from bwwibwipibpbwp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 + 39 + 51 - 6*s - 94 to n + h*s**3 + t*s**2 + g*s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + 24*c - 215. Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398 by -6.\nAnswer: -199\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*0\/1. Suppose -5*o + k = -c + 29, -3*c + o + 17 = 0. Solve 5*b - c*x = 11, 5*b - 3*x - 20 = -8*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341215501 - -1?\nAnswer: -341215500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -311.64036?\nAnswer: -311.64036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 23*x - 15. Let s be 1*57\/15 + 3\/15. Suppose h - 21 = -s. Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1008)*2)**2 - 5*(1 + sqrt(1008))**2) + 0.\nAnswer: -120*sqrt(7) + 59467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 56) + 1263 + -1261?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/9 + 137252*s\/9 - 2354763938\/9 = 0?\nAnswer: 34313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/8)*o*o**(1\/3)*o\/(o\/o**(7\/4))*o*o**8\/o assuming o is positive.\nAnswer: o**(245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 4*d**2 + d + 3. Suppose -5*w - 16 + 1 = 0. Let t be v(w). What is the highest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3951 by -439.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -535118 - 1532?\nAnswer: -536651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 628*v - 622*v + 5*a + 15, -3*v + 2*a + 2 = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 5\/(-15))*(-15)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 3*h - 5. Let f be k(2). Let q = -6 - 0. Let z = -6.2 + 6. What is the third smallest value in q, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4999273 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 154, 150, 144, 136, 126, 114?\n\"Answer: -o**2 - o + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*n = 12, -2*w - 26 = -6*w - 2*n. Solve -3*k + 0 + 16 = -y, -y + k - w = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -647, -633, -619?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/4 - 6\/8. Let v(r) = -3*r**3 - 2*r**2 + 5*r + 2. Calculate the remainder when v(q) is divided by (5\/10*1)\/(1\/26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65535.\nAnswer: 3, 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/8)\/((-19)\/(-209)*55).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353476 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 20 = 22. Suppose r*p - 17*p = -4095. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396862 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/7, 0.04, 0 in decreasing order.\nAnswer: 0.04, 0, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 127 and -20.6?\nAnswer: 147.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23918 - 23885. Solve -y = -5*v - i, -20 - 17 = y + 5*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41750770, -41750783, -41750796?\nAnswer: -41750809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 34362?\nAnswer: 34367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249 - -249. Factor 133 - 12*c**2 - 149 - 4*c**3 - 36*c + 12*c + b*c**3 + 2*c**3.\nAnswer: -2*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 25*a - 8. List the prime factors of k(21).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/2 + 270*x**2. Let m(h) = 3*h**2 + 4*h. What is m(y(d))?\nAnswer: 432*d**2 + 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/5 + 29*l**4\/5 + 72*l**3\/5 - 668*l**2\/5 + 160*l = 0. Calculate l.\nAnswer: -25, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 17*j - 20. Let d(c) = c**2 - c. Let b(z) = -6*d(z) + m(z). Suppose -28 = 5*l - 108. Calculate the least common multiple of l and b(15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -830185*f*i - 1109025*f - 6 with respect to i.\nAnswer: -830185*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2187664 is divided by 1206?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 + 46234*i\/5 + 1892232\/5 = 0. Calculate i.\nAnswer: -23076, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68233 - 31646. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*b**3 + 2 - 1 + 1442*b**3 - 1 + 2*b**2.\nAnswer: 210*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037444.\nAnswer: 2, 419, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o - 0, t - 4*o - 2 = 0. Let j(z) = 3*z. Let v(d) = -10*d. Let x(s) = t*v(s) - 17*j(s). Let i(k) = -9*k**2. Give i(x(r)).\nAnswer: -729*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 - 5 = 0, -2*b - z = -14. List the prime factors of (b + (0 - -1))*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) - ((-39)\/(-9) - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 29*l + 18. Is b(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**47\/(m*m*((m**(-2\/3)\/m)\/m)\/m)**(16\/5) assuming m is positive.\nAnswer: m**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 203469 - -8?\nAnswer: 203474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-5))\/((-107)\/(9095\/34))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.14225 grams in milligrams?\nAnswer: 51142.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 506, 1705, 4038, 7883, 13618, 21621?\n\"Answer: 63*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - h = 3*h - 8, -h = -y. Let j = 8 - y. Suppose 2*p + 5*q = 24, -p + 2*q = p + j. Solve 0*b - 4 = p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4941 and 282?\nAnswer: 464454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 7 + 2*i + 30 - 4*i**2.\nAnswer: -4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = 1. Let z be (-3)\/6 + (-7)\/p. Factor -2*v**2 + v**z - v**2 - 3*v + v**5 + 3*v**4 + v.\nAnswer: v*(v - 1)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119109869597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 300812, 601617, 902422?\n\"Answer: 300805*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29\/5 of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38 = -5*x, -v - x = -6*x + 11. Let j be (v + -4)\/((-3)\/(-105)). Suppose 0*n - j = -5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9273 by -6.\nAnswer: -3091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1976*d**2. Let u(i) = -2*i + 75. Determine u(j(b)).\nAnswer: -3952*b**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83\/69 + -3\/23. Put f, -3\/4, -5 in increasing order.\nAnswer: -5, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4121 from -3021.\nAnswer: -7142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6525.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 593, 914, 1249, 1604, 1985, 2398, 2849?\nAnswer: 3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - n - 179, 4*n - 11 = 5. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1663*n - 2 - 1663*n - 2 + 2*n**2 + n**3 in the form p*n**2 + l*n**3 + x*n + a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**8\/112 - 7*i**6\/10 + i**5\/60 + 739*i**3\/6 + 36*i**2 - 8. What is the third derivative of q(j) wrt j?\nAnswer: -180*j**2 - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/(g\/g**11))\/g*g**(-3\/2)*g*g assuming g is positive.\nAnswer: g**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkhdthkkdthdkkdkdh. What is prob of picking 1 d and 2 h?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3661*q**5 + 8*q**4 - 34*q**3 - 1945533*q**2 + 3*q wrt q.\nAnswer: 219660*q**2 + 192*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6363567*b*u**2 + b*u + b + 10012*u**2 - 3665 wrt b.\nAnswer: 6363567*u**2 + u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -525215 and -1.576.\nAnswer: -525216.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*r**3 - 115*r**3 + 365*r**3 - 118*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14511691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**2*o**4 - 5*n**2*o + 2*n**2 - 6*o**4 - 15*o**3 - 19 wrt o.\nAnswer: 48*n**2*o**2 - 72*o**2 - 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10880*c + 54387. What is u(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**4 - 115*t**3 = 0?\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*(-54)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683, 10729, 24139, 42913, 67051, 96553?\nAnswer: 131419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/5*20\/210.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 488 + -488. Suppose 6*m - 346 + 334 = r. Factor 2*w - 1\/3 - 5\/3*w**m.\nAnswer: -(w - 1)*(5*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171)*-2)**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 19}. What is prob of picking 2 y and 1 l?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 85. What is the derivative of 21 - w*j - 2*j - 5*j - 4*j wrt j?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*t + 45678, 354*t + 30442 = 356*t + s. Which is smaller: 15220 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -739, -2912, -6541, -11632, -18191, -26224, -35737, -46736?\n\"Answer: -g**3 - 722*g**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u**3 + 4 + 20*u**3 - 5 + u**2 in the form x*u**3 + v + h*u + g*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10.0289*1078\nAnswer: -10811.1542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 593838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 + 3*g**2 - g - 1. Let z be n(2). Let o = 32 - z. Let r = o + 143. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 2. Determine v(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 9. Suppose 24 = -8*g + 12*g. Suppose z*k = g*k - 18. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -643, -1277, -1909, -2539, -3167?\n\"Answer: t**2 - 637*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 661, 3115, 7209, 12949, 20341?\n\"Answer: a**3 + 814*a**2 + 5*a - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/9)\/((-9)\/135))\/(5\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -28. Let i(o) = 7*o**2 + 1 - 1 - 5*o**2. Calculate the lowest common multiple of l and i(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1521865*f**4 - 8*f**3 + 168*f + 355018?\nAnswer: 18262380*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 18*m**2 - 49*m + 23. Is j(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k**3 + 2*k - 2*k - 39*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 226146583 to the power of 1\/2, to the nearest integer?\nAnswer: 15038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/21 - (-4 - 27080\/35). Find the common denominator of 57\/2 and 3\/5 - 3\/(1440\/i).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1202922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:35 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198.897 + 207.96. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 2*f**4 + f + (2 - 2 + 2*f**3)*(0*f - 4*f + 2*f) - 2*f**3 + 2*f**4 + 2*f**3 + (13*f - 18 + 18)*(-f**3 - 4 + 4).\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -34*s. Let l(k) be the second derivative of -k**4\/6 - k - 7. What is z(l(a))?\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61540 or 61542?\nAnswer: 61542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512 - 510. Find the third derivative of -149*r**h + 33*r**4 - 4*r**5 + 121*r**2 + 24*r**4 wrt r.\nAnswer: -240*r**2 + 1368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) 28 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0293, -1\/3, 59 in ascending order.\nAnswer: -1\/3, 0.0293, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1289*b + 3530*b - 455*b + 4112*b in the form f*b + x and give f.\nAnswer: 5898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 28*u - 94. What are the prime factors of s(-22)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 2*f + 1. Let l(g) = 17*g**4 - 6*g**3 + 16*g**2 - 286*g + 6. Let m(x) = -6*h(x) + l(x). What is the second derivative of m(j) wrt j?\nAnswer: 204*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11214 + -10926. Calculate the greatest common factor of l and 4032.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(4*q**5 - 5*q**5 + 10*q - 8*q) + 15 - 15 - q**5 + (0*q + q + q)*(q**4 - q**4 + 2*q**4).\nAnswer: q**5 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 727, 726, 723, 718, 711?\n\"Answer: -z**2 + 2*z + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 - 6*z + 7. Let t be h(4). Let u be (t - 20\/(-12))\/(3 - -1). Let l = -1 - -5. Which is the nearest to 1\/3? (a) u (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -129, 346, 821, 1296?\n\"Answer: 475*d - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597474 is divided by 45951.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -3, -7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-10)\/6 + 6\/9. Let l = 19 - 13. Calculate the common denominator of -11\/5 and 237\/l - (-3)\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.54*4647.9.\nAnswer: 30397.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(10\/7)*r)\/r)\/(r\/((r*r*r\/(r*r*r*r**0)*r*r)\/r))*(r\/(r\/(r**(-6\/11)*r))*r)\/r**1 assuming r is positive.\nAnswer: r**(222\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139 + 156. Let j = 65 - d. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5 - 25090*d**2 - 6707*d + 4 wrt d.\nAnswer: 20*d**3 - 50180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1570 and -7\/11.\nAnswer: 17270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 6862 - 319 = 4*f, -5*f = -2*x - 2879. Is x at least -1438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3434194, 0 in descending order.\nAnswer: 3434194, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593696 divided by 15324?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/308)\/((-1)\/((-2552)\/16))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -225. Suppose 0 = 13*t - 16*t + w. Suppose -3*a - 6*x = -x - 11, 3*a = 2*x + t. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -102, -156, -210?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from jjjjpjppjjpjjpjpjjj?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 8*r**2 - 4. Let i be f(-8). Suppose -48 + 13 = -3*d + 4*o, 4*d - 2*o = 30. Let x be 6\/4*(-2)\/(-1). Put d, i, x in descending order.\nAnswer: d, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/2 - 825*w\/2 - 414 = 0 for w.\nAnswer: -1, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 10023*w**2 + 3 - 3 + 9377*w**2 in the form f*w + k + l*w**2 and give l.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 46\/133, 79, -1\/2, 2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -23. Suppose q - 3*s = 10, 2*q - 7*q = -s - z. What is the lowest common multiple of q and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 657, 562, 489, 450, 457, 522, 657, 874?\n\"Answer: 2*g**3 - g**2 - 106*g + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -46*a - 353. Let l be g(-8). Solve -21*z = -l*z + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 6, 0, 36 in increasing order.\nAnswer: -1, 0, 6, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 5*q. Let d be o(6). Let a(m) = 5*m + 4. Is a(d) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*o**2 - 151*o**2 + 64*o**2.\nAnswer: -256*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4236, 8482, 12716, 16932, 21124, 25286, 29412?\nAnswer: 33496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 3*h + 3. Let d(z) = 6*z**2 - 4*z - 4. Let x(b) = 3*d(b) + 4*k(b). Let y(o) be the second derivative of o**3\/6 - o. Calculate x(y(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 18*w**2 - 354*w + 69. Let m be c(-11). Is -888 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 + 0 = 0. What are the prime factors of k*(7 + 1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222590 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 273028.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24408416 + 5?\nAnswer: -24408411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*r + 120 = 0, -y + 220 = y + r. Let x(s) = 26*s**3 + 3*s**2 - 2*s. Let n be x(1). Calculate the greatest common factor of y and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 50*x - 45. Let c(n) = -7*n**2 - 51*n + 46. Let m(v) = 5*c(v) + 6*y(v). Let m(l) = 0. What is l?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -624312 - 1306?\nAnswer: -625621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.34 - -0.34. Let o = q + 21.4. Let g be 1\/(-2)*(-10 - -2). Which is the third smallest value? (a) o (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751119046 to the power of 1\/3, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-6) - (3 - 3845\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.597 decades in millennia?\nAnswer: 5.02597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-75))\/((-18)\/(-60)*-22)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 29*k + 4765. Suppose -4*m - 537 = 4*o - k, 5*m + 20 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let j be ((-5 + 3)\/4)\/(-5 - -2). Let a(k) be the second derivative of 0 - 3*k + 0*k**2 - j*k**3. Calculate a(s(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {u: 2, c: 3, y: 3, n: 9}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52000 = 13*w + 3*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 12:14 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1377 + -30303\/22. Calculate the common denominator of i and 89\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 19. Let z(c) = 3*c - 2. Determine z(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18231, -36422, -54613?\nAnswer: -72804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118729875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -2*u + 3*a, -6*a = -8*a + 8. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-6)\/(240\/5)*26\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -123, -215, -329?\n\"Answer: -11*l**2 - 37*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41689 and 1222.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*g + g - 20, -2*b = -5*g + 8. Let f be 63\/(-4)*((-16)\/6 + 0). Suppose -f = -n - g. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22829b - -75?\nAnswer: 228343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l + 6*l. Suppose 3*a - 59 = -l*j + j, 0 = -5*j + 5*a + 255. Let z(o) = -o**3 + 4*o + 3. What is the remainder when j is divided by z(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 3*v = 12*v. Solve u - 10*u = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicaickakikaik. Give prob of sequence aa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19*(-185)\/703)\/((-2)\/18).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 5*g**5\/12 - g**4\/24 - g**3\/3 + 9*g**2. Calculate the remainder when n(2) is divided by 7\/(245\/480) - 6\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101011101001 + -110010?\nAnswer: -11111101100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -79*y + 300. Let w(n) be the second derivative of -n**4\/12 + 2*n**3 - 5*n**2 - n. List the prime factors of w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -293405800 to the nearest one million.\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2750, -2752, -2754, -2756, -2758, -2760?\n\"Answer: -2*z - 2748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3040 and 22800.\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 95. Calculate the remainder when b is divided by (0 + -24)*(1 + -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12439.82 * 4\nAnswer: -49759.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -343 and 0.2.\nAnswer: -68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339294647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4500356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 5*z**3 + 24*z**2.\nAnswer: -z**2*(z - 3)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2, 0 = -2*r - 6*g + g - 1984. Round r to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202437?\nAnswer: 3, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*m + 204 = -2970. What is the remainder when 43 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - 0*p. Let r = -22 + 44. Let b = r - 107\/5. Is p not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q + 31 = -29. Which is greater: 35\/66 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5308 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: Evaluate (1024\/(-52224))\/(2\/(-6)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2541620 * 3.\nAnswer: 7624860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - 36\/(-8). Suppose 0 = -a*n + 3*n + 74. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4238765169 and 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64240378 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 7579.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*h**2 - 5 + 4*h**4 - 4729*h + 2359*h + 2369*h as o*h + b*h**4 + x + q*h**2 + y*h**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 113480*y + 454000.\nAnswer: -5*(y - 22700)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 111 - 423 = 0. Suppose 17 + i = 5*u. Solve 0 = -5*q + u - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -2\/167 in ascending order.\nAnswer: -8, -2\/167, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12526 or 203?\nAnswer: -12526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9793.722 nanograms in tonnes?\nAnswer: 0.000000000009793722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282375?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147 is divided by 377.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 456, 5 in decreasing order.\nAnswer: 456, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (7 - (-38 - -88) - (2 + 1 - 4)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 69 = -3*m. Let a = m - 22. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 34, 61, 106, 175, 274?\n\"Answer: u**3 + 8*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(1 - (-15)\/(-6)). Suppose -u + 120 = t*u. Suppose 3*o - 12 = 3*m, u = m - 2*m + 5*o. Solve -2 = -y + m, 0 = -w + 3*y - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/((-6)\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 13. Let m = -2 - w. Let t = m - -12. What is the closest to 1 in t, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2799.6 to the nearest 10.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 33*j**3 + 5*j - 4*j.\nAnswer: 33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m = -53*m - 287. Suppose 10019 = m*w + 1491. Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563816 less than -5.79391?\nAnswer: -563821.79391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -4 (c) 3\/58 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/916404 and -41\/4352919.\nAnswer: 17411676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 3}. Give prob of sequence nf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 - -105. Put h, -0.5, -2\/17, 2 in descending order.\nAnswer: 2, -2\/17, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + c - 4)*(-2 + 1 - 3).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.0311 + -0.0311. Put -1\/2, -0.8, 2, i in decreasing order.\nAnswer: i, 2, -1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) -3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 7. Let f be d(-7). Let w = 10 + 5. Suppose 5*j = -f*j + w. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (46 - 47)*(-36)\/(-4). Let v(s) = -s**3 - 10*s**2 - 10*s + 8. Determine v(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f**3 + 3*f**4 + 1 + 10*f**3 - 4 + 5*f**3 to j*f**2 + k*f**4 + l + c*f**3 + v*f and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 81*r + 1243. Calculate t(19).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11815338 + 22184662 = o, -2*y + 4*o + 17000000 = 0. What is y rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**2\/2 - 2*a - 3. Let q = 1 + -1. Calculate d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 2. Determine w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 15) to base 9.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*-1*(-5)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = -3*t, -4*r + 17 = -2*t - 5. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*-1 + (sqrt(77)*-5 + sqrt(77))*6)\/((sqrt(112)\/sqrt(2))\/sqrt(8) + sqrt(7) + 4*((sqrt(7) + sqrt(175) - sqrt(7)) + sqrt(7))).\nAnswer: -14*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -0.2.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**5 + n**3. Let h(p) = -66*p**5 + 165*p**4 - 48*p**3 - 69*p**2 + 24*p + 12. Let o(m) = h(m) - 9*x(m). Suppose o(q) = 0. Calculate q.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 4*l**2 - 2*l - 11. Let k = -9 - 4. Let z = 7 + k. Let w(y) = -y**3 + 2*y**2 - y - 6. Let j(i) = z*b(i) + 11*w(i). Factor j(p).\nAnswer: p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9773 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 54*l**2 + 46*l - 59. What are the prime factors of j(7)?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 19 = 16. Let s(o) = o**2 - 5*o - 4. Let w be s(y). Let u be 0 + (-160)\/(-2)*1. Calculate the greatest common factor of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1278 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b2a (base 13) in base 10?\nAnswer: -30456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 942, 1901, 2884, 3903, 4970, 6097, 7296, 8579?\n\"Answer: 2*c**3 + 945*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 8981 + -449033\/50. Calculate the common denominator of q and 10\/3.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1865247 and -0.749704.\nAnswer: -1865247.749704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 5*n**2 - 71 + 5*n**2 + 106.\nAnswer: 10*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 55*k**2 - 22 + 8.\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -23720*o. Let m(q) = -q**2 + 1050. Determine m(a(p)).\nAnswer: -562638400*p**2 + 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 948*c**3 - 2 - 2850*c**3 + 2014*c + c**2 + 954*c**3 + 947*c**3 to the form k*c + g*c**3 + s + i*c**2 and give k.\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*l**5*p + l**4*p + 2*l**2*p - l*p + 573*p wrt l?\nAnswer: -1500*l**3*p + 12*l**2*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1064603951 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/3 + 65409880*s\/3 - 267403275100900\/3 = 0. Calculate s.\nAnswer: 8176235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:27 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*g - 100 = 40, 26*m + 4*g = -425 + 79 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -383*n**2 + 10*n - 10270. Let h(i) = -129*i**2 + 3*i - 3422. Let q(g) = 14*h(g) - 4*t(g). Differentiate q(d) wrt d.\nAnswer: -548*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14590 - 14586. Suppose -k - 2 = 3*r, -k + 5*k - 6 = 2*r. Solve 4*l + q = -p, l - 7*p + 5*p = -k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let t(h) = 1. Let y be 1 + 0 + 10\/10. Let g(x) = -3 + 8*x**y - x + x. Let v(l) = -g(l) - 3*t(l). What is m(v(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > -31.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let b = 5 + -1. Let l(j) = 3*j - b*j + 0*j + 4*j. Calculate y(l(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 41. Suppose 0 = -4*o - 0*o + u. Let v(b) = b**3 - 2*b**2 - 5*b - 3. Give v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -20, -145, -444, -989?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 8*k**2 - 10*k + 7. Let y be l(2). Solve y*r = 13*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4 + -2)*-14. Let z(f) = f**3 + 5*f**2 + 2*f - 2. Let x be z(-5). Let j = u - x. Calculate the lowest common multiple of j and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*m - 25 = 0, 5*q - q - 35 = 3*m. Let b(t) = -2*t + 4*t - 4*t - 1 + 0*t. What is b(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -1703?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*j - 55*j - 1 - 4)*(-3*j - 4*j**2 + 3*j**2 + j) as n*j + w + r*j**3 + u*j**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16 + (-192)\/(-8) + 3\/1. Solve -v = -q*v + 50 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 4*q**2 + 3*q)*(2*q + 2*q - q) + (0*q + 0*q + q)*(2*q**2 - 4*q + 4*q))*(9*q - 9*q - 10*q**2).\nAnswer: -140*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:36 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/(2*(-6)\/8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 19*i + 22. Let x be p(-20). Is 2 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a**5 - 94165*a**4 + 2395605*a**3 - 5103515*a**2 - 11035030*a - 3441720 = 0. What is a?\nAnswer: -1, -2\/5, 4, 23, 3741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5375\/9 - -596. Let j(m) = -m**2 - 11. Let w be j(-7). Find the common denominator of (1 + -3)*(-93)\/w and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2238 (base 11) to base 16\nAnswer: -b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-952.293\nAnswer: 380.9172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.764 and -5.\nAnswer: -3.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + b + 1. Give f(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + -69. Let u = -210 - x. Let p = u + 70.061. What is p rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 14) to base 15.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l. Let j be (-87)\/18 - (-150)\/30. Let a(p) be the second derivative of -6*p + 0 + 0*p**2 - j*p**3. What is a(v(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*x + 20 = -10, 0 = 3*k + x - 20. Let q = -12\/269 + 1864\/65905. Let l = -1016\/2205 - q. Which is the closest to 0? (a) l (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 7711\/2143?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.107 (b) 2\/9 (c) 0 (d) -4\/29 (e) 0.2 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.68516 + 16.37?\nAnswer: 450.05516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 4. Let v(k) = -2*k**3 - 9. Let p(j) = -j**3 - 7*j**2 - 7*j + 4. Let a be p(-6). Let o = a + -15. What is o*q(t) + 2*v(t)?\nAnswer: t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 4*(-1)\/2. Let j = 14 - o. Let y = 27 + -9. Calculate the greatest common divisor of y and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/8)*s)\/s**(-2\/7)*(s**(-1)*s)\/s**(-1\/6))**(3\/20) assuming s is positive.\nAnswer: s**(433\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1286110 divided by -18373\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - h + 1. Let w be 4*2 + (159 - 166). Let x(f) = f**3 + f**2 + 14*f - 1. Calculate w*x(m) + s(m).\nAnswer: m**3 + 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 646 + 63424. Let f = -188138\/9 + t. Which is smaller: f or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 19349\nAnswer: -27\/19349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36 - (8 + (0 - (3 + 2))). Calculate the highest common divisor of 231 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124412 - 12192 = -3692*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddc when four letters picked without replacement from {d: 1, c: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 15*c + 7. Suppose 2*z - 23*u - 24 = -19*u, -4*z = -u - 34. What is l(z)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**1*u*u)**43\/(u*u\/((u*u*u**(2\/5)*u)\/u))**(-5\/2) assuming u is positive.\nAnswer: u**214","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -482 (base 13) in base 5?\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.73 and 0.2.\nAnswer: -4.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162812 is divided by 162796?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 0 - 87\/17)\/(3 + -5)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - -2) - (9 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.2, 32, -1\/4, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -19)*1\/2. Let p be 2\/(-2)*-1 - b. Let y = -19189 - -19191. Let f(j) = -5*j + 17. Let v(r) = -r + 4. What is p*v(a) + y*f(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose -2*p = -0 + 8, j*c = 5*p - 44. Let o be 2\/(-4)*c\/10. What is the nearest to 0.1 in -0.3, o, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*h = 2660, 5*s - 2*h + 2675 = -h. Let y be s\/(-8) + 18\/(-24). Calculate the highest common divisor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 76. Let i(w) = -w**3 - 7*w**2 + 4*w + 2. What is i(b)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 89. Suppose t = w*p - 16, -4*p + 3*p - 17 = 2*t. Which is bigger: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (16 - 22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*r**4 + 18576*r**3 + 2801622.\nAnswer: 88*r**3 + 55728*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67438870?\nAnswer: 2, 5, 6743887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 1\/2*j**4 + 0 - 3\/2*j**2 - 1\/20*j**5 + 1\/2*j**3 - 2*j. Is n(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 13*j - 20. Let y be l(12). Let i(u) = -u**2 - 7*u. Determine i(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595097 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056143374 to six dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100011111 (base 2) to base 14.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 7. Suppose -2*n - n + 36 = 3*j, 0 = -2*n + 10. Let w be r(j). Solve 0*x - x - 1 = w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from scxxxlcxl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - 2*k - 4. Let q be y(-4). Let l(h) = 3*h + 6. Let x(w) = 7*w + 58573 - 117081 + 58520. Calculate q*x(o) - 9*l(o).\nAnswer: o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259312621?\nAnswer: 757, 342553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 43, 1\/4, 0.2, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzbzzddjzjzbdzzbz. Give prob of picking 2 b and 1 j.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198239 is divided by 472?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 462 in ascending order.\nAnswer: -3, 2, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/11 + 198602*y - 6553848\/11 = 0.\nAnswer: 3, 1092308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -21. Put -2, u, 0.5 in descending order.\nAnswer: 0.5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -789179 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13.15. Let f = -0.05 - d. Let r be 2 - (1 - 1\/(-2)). Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -464*c*s**3 - 1744*s**3 wrt c?\nAnswer: -464*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - -43594842563.\nAnswer: 43594842563.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134 = 71304*s - 71250*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3007, 3321, 3851, 4603, 5583?\nAnswer: 6797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*m - 3*m + 34139985, -3*m - 45520009 = -4*v. What is v rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21677007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3859.53025 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 5*b + 8. Let m = -10224 + 10227. What is p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 + 13)*(4*d + 4*d - 3*d)*(-44*d + 44*d + 31*d**2) to the form t*d**3 + j*d**2 + p + h*d and give t.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 7. Let c be g(5). Let l(u) = 9*u**2 + 2*u. Let p be l(c). Suppose -4*a + 4*h + 34 = -14, 5*a + 2*h - p = 0. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t + 3. Let q(h) = -12*h - 2. Suppose 3*a + 3*u - 3 = 0, 2*a - 6 + 2 = -4*u. Let j(x) = -63*x - 8. Let k be j(a). Calculate k*q(c) - 5*s(c).\nAnswer: 6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/7)*w*w*w\/(w*w**13)*(w**(5\/3)\/w)\/(w\/w**13*w) assuming w is positive.\nAnswer: w**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -524 - 1?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 237302, 237354, 237408, 237464, 237522, 237582, 237644?\n\"Answer: m**2 + 49*m + 237252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:27 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r - 4*l, 0 = -r + 2*l - 0*l + 3. Suppose 51 = 6*n - r. What is the highest common factor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i - 28 = 0. Let x = i + -14. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + 19978\/1498 - (2 + 2). Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065537028 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 356\/(-5)*(-20)\/4. Suppose -5*j = -j - d. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 323\/(-76) + (-1)\/(4\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-42) + 0 + (-208)\/(-56) + -7. Let k = -0.46 - -0.06. Let i = k + 0.7. Which is the closest to -4? (a) i (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 2, 2\/123 in increasing order.\nAnswer: 2\/123, 2, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 172793 and 172772 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Suppose -z*m - 2*m = -15. Is m >= 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*p*s - 93*p*t - 480*p + 27288*s*t + 40*t - 7 wrt p?\nAnswer: -37*s - 93*t - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 77. Let p be f(11). Let a(t) = p - 2*t**2 + 7 - 3 - t. Let l(x) = x**2 + x - 1. What is a(g) + 3*l(g)?\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11368168 divided by -1?\nAnswer: 11368168","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -8.38*-4.6\nAnswer: 38.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 260.525 (b) -0.1 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/9, -0.02, 2 in descending order.\nAnswer: 3, 2, 4\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-12)\/1026*-3\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6 + 3 + 5*s - 1. Suppose -3*v - 3*a + 6 = 0, 3*v - 2*a + 15 = -4. Let g(u) = -6*u + 5. Determine v*g(p) - 4*h(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b + 11. Let o be t(-6). Let g be 14 + 1*(1 - 3). Suppose 5*d = 3*d - g. Let w(r) = -1. Let q(l) = -l + 3. Calculate d*w(n) + o*q(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15996\/2604*(4\/10)\/((-24)\/(-840))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**6 - 120*g**6 - 283*g**2 + 678*g**2 wrt g?\nAnswer: -13920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 13. Let h = -14 + 9. Let z = 5.2 + h. What is the third biggest value in 2, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 7*c - 20. Let d(x) = -4*x**2 - 6*x + 21. Let w(f) = 2*d(f) + 3*j(f). Let h be w(-11). Solve -7*a - 12 = -h*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 29 + 10. Let c(k) = 20*k - 64. What is the remainder when c(5) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16412, -32831, -49250, -65669?\n\"Answer: -16419*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3724 and 215040.\nAnswer: 28600320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 + 6*s + 1. Give j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - 486 - 476)*(u**3 - 4*u**3 + 0*u**3) - 4*u**3 + 5*u**3 + u**3.\nAnswer: 2435*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let g(h) = -h**3 + 6*h**2 - 5*h - 12. Let x be g(5). Let j = 9 + x. What is k(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 2*m + 7490. Let w(q) = -207*q. Calculate b(w(i)).\nAnswer: -42849*i**2 + 414*i + 7490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10031162*g**5 + g**3 - 77160131*g**2 - 2.\nAnswer: -601869720*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181767983, -181767985, -181767987, -181767989?\nAnswer: -181767991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - 208. Let h = n - -515. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:17 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 129 - -2b4?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -218 - -248. Let y be (45\/q)\/((-1)\/2). Put -16, y, 11 in descending order.\nAnswer: 11, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 3}. Give prob of sequence onoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a889b (base 13) to base 9.\nAnswer: 6141420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1771016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4 - 6)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125254712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13416324 + -5?\nAnswer: -13416332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, b: 5, a: 7}. What is prob of sequence jj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2208\/(-366) + 6). Suppose 391 = 22*i + q. Solve 4*n - 15 = -n, -3*r = 5*n - i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13 = 13. Suppose -4*t - 9 = g, 3*g - 3 = t - 3*t. Suppose g*m - 11 = 1. Solve -3*u = -k*u, -u + 8 = m*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -w + 106. Let v = w - 82. Suppose -2*b + v = 2*s, -1 + 0 = -5*s - 3*b. Is s less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -236a0 (base 12) to base 13\nAnswer: -188b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 88*u\/5 - 184\/5.\nAnswer: 2*(u - 2)*(u + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*l + 10 = 0, -3*z + 3*l = 7*l - 5. What is the second derivative of -10*q**z - 5*q + q - 6*q - q**3 wrt q?\nAnswer: -66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 2, 54, -1, 3 in descending order.\nAnswer: 54, 4, 3, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g + 3 - 11, -3*d - 15 = 0. Suppose -2*y - 3*k + 0*k - 27 = 0, -63 = 4*y - 3*k. Let v = y + g. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894 + 360 = 3*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2. Suppose -25*w + 6*w + 60 = w. Let l(h) be the second derivative of 0*h**2 + 1\/3*h**w - 18*h + 0. Give x(l(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtp when three letters picked without replacement from euvvjppetteteu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.235 - -0.135. Let l = -1.5 + 0.5. What is the nearest to l in -3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101020001 (base 3) to base 6.\nAnswer: -1000431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -1366, -2036, -2698?\nAnswer: -3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*v**3 - 651*n*v - 2*n - 9161*v**3 + 2 wrt v.\nAnswer: -6*n*v - 54966*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.5 - 31.3. Let j = h + 15.13. What is j rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/21 and 13\/194529?\nAnswer: 1361703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 5. Let c be f(0). Let s(l) = l**2 - 5*l - 6. Let b(i) = i**2 - 4*i - 5. Calculate c*b(r) + 4*s(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(612) + -1)**2 + sqrt(612).\nAnswer: -6*sqrt(17) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**3\/6 - 5*d**2 - 4*d. Let p be u(10). What is b in p - 1\/5*b**2 + 2\/5*b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = 6*w - 3*w. Let a be w\/264 - (-4)\/22. What is the closest to -1\/5 in -4, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/3)\/(3 - 35\/15). Suppose -33 = -4*n + o. Suppose 5*y - n = 5, -3*j + 1404 = y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 109 = -591 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - 115. Suppose -2*b + 890 = -o, 2*b - 914 = -o - g*o. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/159, -16, -0.2, -1\/3, 5 in decreasing order.\nAnswer: 5, 3, 2\/159, -0.2, -1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/425*-25*4\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213.31016 plus -166?\nAnswer: -1379.31016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510651 (base 7) to base 5.\nAnswer: 10234031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -260*t**4 + 97?\nAnswer: -1040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/75 + 37*x**4\/30 + 231*x**2\/2 + 126*x. Let k(h) be the first derivative of b(h). Factor k(u).\nAnswer: 4*u*(u + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(-27)\/(x\/(x**(-1\/9)\/x))**25 assuming x is positive.\nAnswer: x**(-1679\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 65*i + 27. What is c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 187 = -x - 176, 4*x - 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494502389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 - -722 - (0 + -1 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r*r**1\/r*r)\/r)))**(-5\/7))**(-1\/6) assuming r is positive.\nAnswer: r**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/43 - -37\/86. Let l = 0.24 + -23.24. Put -2\/7, l, y in increasing order.\nAnswer: l, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weqfwea. What is prob of sequence weea?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -3, -5, 8 in decreasing order.\nAnswer: 8, -3, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 5*u + 361 = 0. Let t(v) = -v**3 + 18*v**2 + 19*v + 22. Is t(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 28611 and 0.037.\nAnswer: 28611.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11760, -11753, -11750, -11757, -11780, -11825?\n\"Answer: -c**3 + 4*c**2 + 2*c - 11765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 11. Let k be i(-11). What is the common denominator of (k\/20)\/((-3)\/5) and 143\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 4)*(1 + 0 + 1) - 2 - 2 + 1 - 16 - 2 - 6)*(-4*g**5 + 3*g**5 - 50*g**5).\nAnswer: 1173*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 163, -1, -2\/5, 0.3 in ascending order.\nAnswer: -1, -0.5, -2\/5, 0.3, 2, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -9, 0.2, -177, -0.1, 8 in increasing order.\nAnswer: -177, -128, -9, -0.1, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-25) + (21 - 61516\/2925).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60043.\nAnswer: 97, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-24))\/m*m*m)\/m**37)**23)**(2\/123) assuming m is positive.\nAnswer: m**(-506\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26707432 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*j - 0*j. Let z = j - 11. Suppose -80 = -z*r + r. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 30*t**3 - 26*t**2 - 6. Let s(l) = -6*l**3 + 5*l**2 + 1. Let h = -41 - -30. Let c(k) = h*s(k) - 2*v(k). Is c(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + u + 184. Let x be a(0). Suppose 4*f = -4*h + 200, 2*h - x = -4*f + 6*h. Calculate the highest common factor of f and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83.7 and 532?\nAnswer: 44528.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*m**2 + 1\/3*m**3 - 20\/3*m + 8 = 0. What is m?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50\/3, -6263\/2, 0.2 in decreasing order.\nAnswer: 50\/3, 0.2, -6263\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = z - 20*o + 12, 4*z = 3*o - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l + 9. Let b(g) = g - 2. What is 4*b(x) + r(x)?\nAnswer: 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6df (base 16) to base 8.\nAnswer: 3337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-6\/19)\/((m**(-5)*m)\/(m**(-3\/4)\/m)) assuming m is positive.\nAnswer: m**(163\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*k + 26, -1 = -4*y + 4*k + 55. Calculate the remainder when 33 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - o. Suppose -2*q + 9*h = 8*h - 16, -2*h - 8 = 0. Suppose -11*a + q = -13*a. Let x(l) = l**2. Give a*x(n) - r(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/9)*y)\/y)**(32\/3)\/((y**(-13\/5)*y)\/(y\/(y\/(y*y\/((y*y\/y**(-27))\/y))))) assuming y is positive.\nAnswer: y**(-3934\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5155394 is divided by 548.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 2\/3 (c) 5\/3 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 45. Let c(g) = 4*g + 11. Let k be c(-4). Suppose 15 - 63 = 4*s. Put i, k, s in decreasing order.\nAnswer: i, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7276*f**3 + 12122*f**3 + 47884*f**3 + 3*f.\nAnswer: 52730*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -56*j + 11. Let i(s) = 223*s - 48. What is 4*i(q) + 18*n(q)?\nAnswer: -116*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205\/4 - -51. Let t = -1.9094 - 0.0906. Let j be (-2)\/(-10) + (-143)\/(-585). Which is the closest to 3? (a) j (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -b11?\nAnswer: -b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -154*(-20)\/210*(-3)\/8.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4352, -26 in increasing order.\nAnswer: -4352, -26, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 2\/9 (c) 0 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*g = -4*g - 28, -2*v = -4*g - 14. Suppose -3*a - 5*j = 12, -4*a + 3*j + 6 + v = 0. Put a, -2, -3 in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32288 - -43959. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = -h. Suppose -h*p + 0*p + 4*y = 1368, -p - 475 = 5*y. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -29*p**2. Let m(b) = -132090*b**2. What is m(i(k))?\nAnswer: -111087690*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 - 2*o**2)*(3*o**2 + 2*o**2 - 2*o**2) + 45183 - 11638*o**4 - 45183.\nAnswer: -11644*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704400 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16165 or 16164?\nAnswer: 16165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(35\/15) - (-11)\/(-7). Let x(f) be the first derivative of -5*f**4\/4 + f**3\/3 - 4*f + 2. Does 6 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/7? (a) 3 (b) -287 (c) 22\/15 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*c**3 - 568*c**3 + 682*c**3 + 286*c**3.\nAnswer: 1150*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.631204 meters in kilometers?\nAnswer: 0.002631204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31818 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6649 and 630313.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhbvhphqhvfhhqhhbhq. Give prob of picking 2 v, 1 p, and 1 b.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9232 and 36.\nAnswer: -332352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, -129, 0.047705, 5, 3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3. Let h(s) = -12*s**3 - s**2 + 8. Calculate -h(a) - 3*k(a).\nAnswer: 15*a**3 + a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16863279 + 16863279 + 391*b**2.\nAnswer: 391*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**4 + 3*k**3 - 19*k. Let t(y) = -14*y**4 - 4*y**3 + 20*y. Let p(d) = 4*f(d) + 3*t(d). What is the second derivative of p(z) wrt z?\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 69. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13646.\nAnswer: 2, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/150 - 9*i**5\/100 + 23*i**4\/60 - i**3\/10 - 18*i**2\/5 + 1086*i. Factor v(o).\nAnswer: (o - 4)*(o - 3)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8491 divided by 7\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -26*p**2 + p. Suppose -2 = k - 0. Let c be m(k). Is c\/(-5) - 2\/10 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17342.0000003277 + 17342. What is q rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4992561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30906374129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5 = 3*t, -2*k = -6*t + 4*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - -21. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070378147 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/18660 or -1?\nAnswer: -13\/18660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 208390 a multiple of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:48 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8546 litres to millilitres.\nAnswer: 854.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 44 - 20 - (-109 + 0)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*u - 3318 - 11216 = 0, 21777 = 3*a - 2*u. List the prime factors of a.\nAnswer: 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 50*p**2 - 136*p + 206. Calculate the remainder when h(47) is divided by 151.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4207*r**2 + 4494*r**2 - 8929*r**2.\nAnswer: -228*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2737592*r**6 - 5961*r**2 + 137 wrt r.\nAnswer: 328511040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4901 or -828357\/169?\nAnswer: -4901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2168601 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 441*g**2 + 1575*g + 105. Let y(t) = 17*t**2 + 60*t + 4. Let a(v) = 105*y(v) - 4*z(v). Let o(q) = -20*q**2. What is 3*a(m) + 4*o(m)?\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m + 7*m - 13*m)*(-m**2 - 1 + 1) - 4*m**3 + 4*m**3 - 2*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c**4 - 89*c**3 + 85*c**2 + 89*c + 2 = 0 for c.\nAnswer: -1, -2\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-49)*28\/16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.108.\nAnswer: -0.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(28) - sqrt(112)\/sqrt(4))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1782\/324*3*(-4)\/(-66).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-6)\/(-2) + -3). Suppose -p = -8 - s. Suppose -2*k - 1 = -p. Calculate the remainder when 22 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90155899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 - 2868 = -5*k. Suppose k = r + 2*r. Calculate the remainder when r is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u + 2)*(16 + 2*u**4 - 16) - 12*u**5 + u**5 + 2*u**5.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -15. Let j(l) = -3*l + z*l + 0*l - l. Let a(w) = w. What is a(j(k))?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f + 106. What is the hundreds digit of u(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16957260 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 - 2*r - 2. Let d be ((-26)\/(-13))\/(2\/9). Let g be ((-4)\/6)\/((-3)\/d). Let m be u(g). Solve 20 = -5*j + z, m = -3*j + 5*z + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -5 + sqrt(52)\/sqrt(4) + 3 + 1)**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t**3 - 1071*t**2 - 102609*t - 2?\nAnswer: -114*t - 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {o: 4, c: 1, i: 6, p: 2, z: 3, e: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 175261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498479 is divided by 150.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-22))\/((-681)\/(-2724))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let y = 1852.1 - 1852. What is the nearest to u in y, -5, 0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11930, 12281, 12748, 13337, 14054?\nAnswer: 14905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1095 and -0.141.\nAnswer: -1095.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7398 divided by 6\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or 5?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.313523 less than 20?\nAnswer: 135.313523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(285\/950)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 200.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 19*q**3\/3 + 4. Let c(j) = -3*j. What is c(n(r))?\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 296568?\nAnswer: 296568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u - 1. What is c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29380 divided by 81.\nAnswer: 29380\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -65332 times -0.3\nAnswer: 19599.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-23 + 12 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8128301g?\nAnswer: 812830100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -13. Let f be (-2)\/(-11) + m\/11. Let q = 15 - 6. Solve f = -5*c - 2*j - q, 2 = -5*c - 4*j - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -p. Suppose -p*o + 7 = -d, -4*o = 2*d - 14 - 8. Let f(n) = -n**3 + 4*n**2 + 3*n - 6. What is f(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, v: 6}. Give prob of picking 4 v.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -222892\/433 at most as big as -515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20805 and 850815?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1 + 2*v**3 + 3*v**3 - v**3 - 2*v - 9*v**3. Determine y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (-40 - -35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -4*f, 4*a - 2*f = 3*f + 6. Let d be 1 + a\/(-2)*-2. Let b be 1*6\/3 - 1. Is b bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 18 - 58. Let p = 6 + b. Let i be (1 + -9)*11\/(-22). Sort p, i, 1 in descending order.\nAnswer: i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 47*l**2 + 36 - 33*l - 32*l - 12*l**3 - 4*l**2 - 36*l. Let f(s) = 7 - s - 2*s**3 - 16*s + 7*s**2 - 1 + 0*s. Let z(y) = -34*f(y) + 6*g(y). Factor z(b).\nAnswer: -4*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 5*g - 10. Let z(h) = -6*h**2 - 4*h - 10. Give 4*n(q) - 5*z(q).\nAnswer: 2*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 = 283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 124. Let w be -9*-3*20\/(-45). What is the second biggest value in -0.5, w, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/69625 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21715 is divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2157)\/210 - 2\/(-10) - (-240)\/24.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 - 51844*a\/3 + 17280.\nAnswer: 4*(a - 12960)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 16 - 1 - (-4 - -12)) + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 434*c - 160*c + 10989 - 32909. Solve -c*u = -67*u + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**3 - 5*m**2 + m - 8. Let g(b) = -20*b**3 - 15*b**2 + 2*b - 23. Let q(w) = 8*a(w) - 3*g(w). What are the prime factors of q(4)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(100\/35 + (2 - 5)). Let h be 1\/j + 50148\/(-196). Let n = h - -542. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f + 16. Let l(s) = -12*s. Determine i(l(r)).\nAnswer: 192*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 36*u**8\/7 - u**4\/6 + u**3\/6 + 31*u**2 + 20*u. Find the second derivative of n(h) wrt h.\nAnswer: 34560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -0.74. Let z = d - 0.04. Let w = -1 + z. What is the closest to 0.1 in -3, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*z + 5, 0 = 2*i + 2*z - 0*z - 2. Suppose 6*b + 3 = 3*b + 3*q, i = 5*q - 15. What is the least common multiple of (-8 + (3 - -7))\/2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1, 0.1, 4\/9, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -24*t + 19948. Let r(l) = -7*l + 6648. Give 10*r(c) - 3*x(c).\nAnswer: 2*c + 6636","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 + 2. Let c be (-1894)\/6 + 6\/9. Let f = -313 - c. Solve -i - f + d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7792 - -3?\nAnswer: -778b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 53. Let y(c) = -3*c - 106. Let q(b) = -9*s(b) + 4*y(b). List the prime factors of q(7).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 2, -2 in ascending order.\nAnswer: -14, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2 + 10. Solve -4*m = -4*p + 2*p + 26, 2*m - 12 = -o*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9042 = 3*r - 3*i - 0*i, 5*i - 9042 = -3*r. Suppose 12*v - r = v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/1680 - m**7\/1050 - 6*m**2. Suppose x(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, -2\/9, 6, -2\/467, 13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**5\/95 + 2*y**4\/19 + 2*y**3\/19 - 7. Factor u(w).\nAnswer: 2*w**2*(w + 1)*(w + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 56252*v + 21 = -56243*v, -4*v = -2*f + f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5186401 - 27.2.\nAnswer: -5186428.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -1.74?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6089228 is divided by 2107.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 + 166*b**4\/5 + 780*b**3 + 5184*b**2 - 6912*b\/5 - 331776\/5 = 0. What is b?\nAnswer: -48, -24, -8, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 82. Calculate h(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:20 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 33. Let i be d(-25). Suppose 0 = i*r - 7*r - 5167. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.042 + -2. Which is the nearest to 0.1? (a) f (b) -1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*w + 2835 = -480*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 2 - 3*u - 2*u)*(-8*u**2 + 34 - 34)*(2 - 3*u - 2) to the form w*u**3 + n*u**2 + t*u**4 + p + j*u and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + 33*q - 76. Let b be u(7). Calculate the highest common divisor of b and 724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1*-6)*366\/305. Does 12 divide (-40936)\/(-56) - (1 - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80.3 + -14.7. Let k = y + -12.9. What is k rounded to 0 dps?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 16. Let i be h(-13). Let l = -395 - -395. Which is the nearest to 0.2? (a) -0.3 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 14*u - 39. Let g be k(-18). Let q = 59 + g. Let h = q - -123. 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 value of (-8)\/20*870\/1914?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/5 + 40*y**3 - 1304*y**2 + 15584*y - 300288\/5 = 0?\nAnswer: 8, 12, 34, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65.45 + -60.45. Which is the biggest value? (a) 217 (b) -5 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7. Let s(c) = -2*c - 356. Determine 2*l(o) - s(o).\nAnswer: 2*o + 342","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 29*j = -28. Solve 11*g + 69 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(40)\/sqrt(4)*2)\/((1*sqrt(4))\/sqrt(2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 5*r**4\/24 - 31*r**3\/3 - 14*r**2 - 3. Calculate f(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 - 1. Let f = 1 - -13. Let n be (-134)\/f - (150\/(-42) - -4). Determine g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2275037*f*x**4 - 553801*f*x wrt x.\nAnswer: -27300444*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 10*f**2 + 9*f - 1. What is the remainder when 218 is divided by i(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 20, -1\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -16*l**2. Let z(y) = -7 + 5 + y + 2. Calculate z(r(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.2007995 rounded to 1 dp?\nAnswer: -154.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*l + 2*l - 2*l) - l - 4*l + 3*l + (-40 - 32 + 24)*(-2*l + l - 2*l) - 2*l + l - l.\nAnswer: 144*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98301.94l in millilitres?\nAnswer: 98301940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/22)\/(14970\/(-115269))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.95837 + 0.04163. What is the third smallest value in -2\/7, k, 0.6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -198 or -2974\/15?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6423 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let s(a) = -33610730*a**2. Give v(s(q)).\nAnswer: 33610730*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 2*k**2 - 3*k + 5. Let r be 2\/(-8) + 185\/20. Suppose -4*w + r*w - 5 = 0. Let d(c) = 2 - 3*c**2 + 2*c**2 + c - 3. Calculate w*b(v) + 3*d(v).\nAnswer: v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-44) - 2\/8. Let o = -135\/7 + 668\/35. Which is the nearest to -0.1? (a) 4\/9 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 71*x**2 + x + 5119. Let n(t) = t**2. Determine o(n(f)).\nAnswer: 71*f**4 + f**2 + 5119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9399\/4 - 2350. Which is the closest to -2\/7? (a) -0.041 (b) 0.3 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = -2*z - 13, 0 = l + 3*z + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3627 + 3683. Calculate the remainder when 407 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d*d*d\/(d**(3\/8)\/d)*d)))**(-44)*(d**(-4\/13)\/d)\/d**(-4\/13) assuming d is positive.\nAnswer: d**(-497\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 11*w**2 - 19*w - 14. Calculate g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/6 (c) 21\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -910*t - 10048. Calculate n(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 7, s: 1, z: 5}. What is prob of picking 1 s and 2 b?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 6228*m. Let v(f) = -3*f**2. What is l(v(q))?\nAnswer: 18*q**4 - 18684*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13846 is divided by 296.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437 = 95*r + 3482 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let n(w) = -16*w - 9. Let q(c) = -17*c + 2. Let r(h) = 6*h - 1. Let a(f) = -3*q(f) - 8*r(f). Let x(l) = s*n(l) + 11*a(l). Give x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74176 and 16531?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2401 = 9*o - 2482 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 97, 166, 255, 370?\n\"Answer: q**3 + q**2 + 45*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18607 (base 11) in base 2?\nAnswer: 110010110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = z + 11, -4*u = -3*z + u - 29. Let y be (-12)\/z + -2 + 0. What is the third smallest value in y, -1\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1938)\/648 + 35\/(-5) + 10. Let v(j) be the second derivative of 1\/3*j**2 + 1\/54*j**3 + 0 - 24*j - y*j**4. Solve v(b) = 0 for b.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127084 is divided by 126859.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/25 of a kilometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 8, a: 6}. Give prob of sequence apl.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 16*y\/11 - 360\/11.\nAnswer: 2*(y - 18)*(y + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let r = 69 - 66. Let g be u(r). Suppose h - 819996 = -4*h + 4*l, -3*h + 491996 = -g*l. What is h rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44669\/52 - -859. What is the smallest value in -0.3, -0.4, t, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 4 + 0 + 4 + i in the form b*i**3 + j + p*i + k*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -63*x**2. Let u(m) = -551*m**2. What is h(u(a))?\nAnswer: -19126863*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 213*j + 108*j + 117*j + 2.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - 0.11. Let s = 4 - 4.08. Let k = 0.58 + s. What is the closest to -0.1 in v, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30))\/(272\/8500)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 345638, 1382463, 3110502, 5529755?\n\"Answer: 345607*h**2 + 4*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 5. Let w be (3\/(-2))\/((-2)\/4). Let l(y) = -9 - 5 + 10*y + 7*y - 15*y - 264*y**2 + 261*y**2. Give w*l(o) + 8*b(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 99711.82 nanograms?\nAnswer: 99.71182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k. Suppose 0 = 5*g - 20 - k. Solve -r + 0*q - 2*q = -1, -g*r + 3*q = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 not equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.445948 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, 1688, 2647, 3682?\nAnswer: 4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 g when three letters picked without replacement from {e: 2, o: 2, g: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a + 1. Let h be r(6). Let x(y) = -y**3 - 5*y**2 + y + 7. Let l be x(-6). Let m = h - l. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-7)*d*d*d*d))\/d*d*d**(9\/2)\/d*d*d**13*d**(-12)*d*d assuming d is positive.\nAnswer: d**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1353, -1357, -1361, -1365, -1369, -1373?\n\"Answer: -4*z - 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 + 42?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(245)\/(-2*sqrt(7)) + sqrt(35) + sqrt(1715) + sqrt(1715)*-2))\/(2*sqrt(7)*4 + 5*(sqrt(28) - sqrt(7))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -651\/5 in -3, 1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/28 - 10\/(-7). Let x(r) = 4*r. Let l be x(u). Suppose 2*s - 20 = -2*s. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17 - y**2 + 22 + y - 6*y. What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -1547.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 336. Calculate the highest common factor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 16. Let g be z(11). Suppose 39 = 11*k + g. Solve y = k + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261475903 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + (-7 - -4) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1822 divided by -9425\nAnswer: -1822\/9425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/2 - -3)\/((-4)\/(-28)). Solve f - 2*z - p = 0, 3 = -3*f - 5*z + 2*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10085, 9684, 9013, 8072, 6861, 5380?\nAnswer: 3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -577384 (base 9) to base 5\nAnswer: -42042334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 6*m = 20. What is the remainder when 7 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -495 + 2471\/5. Which is the closest to 2? (a) o (b) -5 (c) 2\/21 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30566 divided by -2?\nAnswer: -15283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01675 or -0.1?\nAnswer: 0.01675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 - k - 9. Let s be 72\/(-10) + (-1)\/(-5). Give l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352485011 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66695159 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01753 rounded to two decimal places?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.07, -8, -0.05 in increasing order.\nAnswer: -8, -1, -0.05, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -39. Let i = 31 - z. Calculate the remainder when 78 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/6 + (99 - -2). Find the common denominator of 30\/(-5) + 687\/m and 31\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(3\/2))\/o*o)\/o**(2\/3))**(3\/44)*(o**(7\/3)*o**(2\/19)*o)\/((o*o**(-2\/13))\/o*o**(-1\/7)\/o*o) assuming o is positive.\nAnswer: o**(1668691\/456456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1739, 1761, 1821, 1937, 2127?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127320000 rounded to the nearest 1000000?\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*y - 18*y + 75 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 4*c - 12. Give w(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 212 * 0.4\nAnswer: 84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spmsvpsyspspps. Give prob of sequence py.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-17394)\/104)\/(145\/20) - 2\/29?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 938?\nAnswer: 10318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97290496.9999997 + 97290490. Let z = h + 7. What is z rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 136. Let t be m(-27). Let y(n) = 17*n. Determine y(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37 + 25 = 5*t, 0 = -o - 4*t + 57. Suppose -z = o + 5. What is the common denominator of -65\/18 and (-149)\/154 - ((-72)\/z)\/(-6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 57, -29, -3 in decreasing order.\nAnswer: 57, 9, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 4*a**2 + 3*a**2 - 4*a**2 + (18 - 15 - 46)*(-3*a**4 + 3*a**4 - 2*a**4).\nAnswer: 84*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*u - 3)*(4 + 2*u - 4)*(-4 + 5 + 1) - 2*u**2 - 2*u + 2*u in the form i + s*u + l*u**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Let m(l) be the second derivative of l**3\/3 - 2*l**2 + 19*l. Calculate m(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (230\/35 + -7)*-21. Suppose s = -p*s + 30. Solve -4*k = s*k + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 + -507. Which is greater: s or 4\/339?\nAnswer: 4\/339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*w + 5*c + 31, -2 = 2*w + 3*c. Suppose 5*d + 8 = 3*h - 21, h + 13 = -4*d. Let n = -1 + h. Solve z + 13 + 0 = n*s, w*z - 4*s + 41 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*u - 148, -5*u = 3*o - 65 - 46. What is the remainder when 108 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6*(-6)\/108)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**8\/8 + 31*s**4\/12 - 23*s. What is the third derivative of z(x) wrt x?\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 11*n**2 - n**2 - 2*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21322 + 2?\nAnswer: 21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5690, -5705, -5722, -5741, -5762?\n\"Answer: -q**2 - 12*q - 5677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207\/4 - -52. Let r be (3 + -5)\/2 + -8. Let s be 5\/(2 + r + 1). What is the nearest to 1 in o, s, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33.72854 millennia?\nAnswer: 337.2854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6 - 3. Let y be v\/(-27)*15*1. Sort 2, 3, y in ascending order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46850.\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v - 4. Let c be k(-6). Let r be ((-15)\/4)\/(-1)*4. Let s(j) = -r + 4*j - c*j - j + 6. Determine s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 2*m**2 + 3*m**2 + (-1 - 2*m + 1)*(0 + 2 - 3)*(m + 4 - 4))*(-4*m**2 - m**2 + 2*m**2).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24635110 + -2813110. Round z to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3992*h = -3915*h - 385. Solve 4*m = 0, h*m - 8*m - 10 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u + 21. Let k be v(-8). Sort -14, k, -3 in decreasing order.\nAnswer: -3, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -61 + 0*p**4 + 0*p + 17*p**5 + 0*p**3 + 79\/2*p**2. Find the second derivative of y(i) wrt i.\nAnswer: 1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14444 + 12133. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -21*n**2 - 569*n + 532. Give t(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 t when three letters picked without replacement from {l: 3, h: 2, t: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34\/7*h**3 + 0 + 34\/7*h**2 + 2*h**4 + 12\/7*h + 2\/7*h**5 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -16*j + 984. What is u(35)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*k + k - 8 = 0, 3*x = -4*k - 28. Let o = 0.516 + 0.484. Put x, o, 4\/5 in ascending order.\nAnswer: x, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = -h + 25, 32 = 5*t - 4*h. Let b = 1893 + -1891. What is the third biggest value in t, 1\/4, b, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*g + g + 0*g)*(3 - 4 + 3) + (-31 + 120 + 87)*(4*g - 6*g + 3*g + (1 - 1 - 1)*(-g + 2*g + g)).\nAnswer: -156*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 2. Let z(u) = -4*u - 5. Suppose 4*n = -9 - 3. Suppose 7*p + 28 + 21 = 0. Give n*z(q) + p*t(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 3*f**3 + 55 - 117.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1548 or -1547?\nAnswer: -1547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 658, -13, -43, -1, 0.3 in increasing order.\nAnswer: -43, -13, -1, 0.3, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44294 (base 13) to base 7.\nAnswer: 1023014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -34568 equal to -34574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -199272 divided by 57?\nAnswer: -3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -5. Let k = 124 + -121. Let p be (k - 43\/15)\/((-1)\/5). Which is the closest to 9? (a) z (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5092*n - 65967. Determine k(13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2894 rounded to one decimal place?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p - b = -7, -3*p = 5*b + 13. Let h be (-4)\/(-3) - 2\/(-3). Put p, 1, h in decreasing order.\nAnswer: p, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8*i = 0. Is (i - 1\/(-1))*18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74415462647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 80c8 (base 16) to base 3\nAnswer: 1200020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 330168?\nAnswer: 990504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 4*h**2 + h - 1. Let o be 2\/6 - 20\/6. Let m be v(o). Suppose 6*w - 4 = 2*w. Solve m + w = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 27*h + 111. Let t be (-1)\/((-414)\/30 + 14). Calculate i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 14 - 11*f + (1 + 4 + 2)*(f + 0*f - 2*f) + (2 - 1 + 0)*(-f + 0*f - 4*f) + (0*f + f + 2*f)*(-2 + 3 - 3) to c + m*f and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -15, -28, -57, -108, -187?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 222*a - 218*a = 28, q + 3*a - 11 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3300, 5, -9, 3, -2.\nAnswer: -9, -2, 0, 3, 4, 5, 3300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 20846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/8 + 46*i**3\/3 + 439*i**2\/4 + 174*i + 8785. Determine l so that r(l) = 0.\nAnswer: -87, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1893 and 216390723?\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) + -1*sqrt(64)*-5)\/(sqrt(242) + (sqrt(242) - sqrt(242)*2) + sqrt(242) + sqrt(242)) + -2.\nAnswer: -2 + 12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/72)\/13*(-8)\/126?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12128 is divided by 93.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 669091033.1 to the nearest 10000.\nAnswer: 669090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 3 - 3)*(y + 2*y - 4*y) + 12*y + 270*y - 1829*y**3 + 1853*y**3 to b*y**3 + s*y**2 + i*y + d and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Let f be v + (1 - -3) + 4. What is the highest common divisor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 7, u: 10, p: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:13 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14901 - -11132. What are the prime factors of c?\nAnswer: 7, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -16, -27, -40, -55?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -b + 5*h + 46, 103 - 50 = -b - 3*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196\/171 - -40\/57. Let q be -3 + 55\/20 - 1\/12. Which is the closest to q? (a) 4 (b) -5 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*t = -37 - 31, 3*q = t + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 19*b - 16. Let x be h(-14). Let k be (-313)\/(3 + x\/11). Let i = 20\/113 - k. What is the common denominator of i and -49\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*k + 27339 = 27323, -i = 2*k - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 873*b**5 + 869*b**5 - 1742*b**5 - 629*b**2 + 398*b**6 wrt b.\nAnswer: 47760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740\/(-2992)*6\/((9\/2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1032308 or 1032312?\nAnswer: 1032312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -34, -55, -74, -85, -82?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52663 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3568, 7200, 10830, 14458, 18084, 21708, 25330?\nAnswer: 28950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -31, -26, -19, -10, 1?\n\"Answer: m**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(0 + 3 - 2). Suppose 5*a - 3*h = 22, -3*a - 4*h + 16 = -3. Suppose 65 = 5*x - a. Solve 4*k = -b - 4, p*b + 3*k - x = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z = 33*z + 1932. Suppose -z*l + 176 = -116*l. What is the remainder when 663 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141162, -282317, -423472, -564627, -705782, -846937?\nAnswer: -988092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -c. Suppose c*s = -3*s + 10. Suppose 1 + s = 3*o. Is 1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 425423, 425622, 425919, 426320, 426831, 427458?\n\"Answer: g**3 + 43*g**2 + 63*g + 425316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -574.32738 - -1.09738. Let q = 585 + d. Round q to 1 dp.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.003542 and -18.\nAnswer: -18.003542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 9*a**2 + 2*a - 12. Let t be b(9). Suppose 3*x = t*x + 21792. Let y = x - -65305\/9. What is the common denominator of y and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -170 and 243765929.2115.\nAnswer: 243765759.2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 18*l = 54 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - 2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -19. Let f be 2\/s - 2408\/(-63). Suppose 3*v = 2*l - f, 2*v - 62 = -4*l + v. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k + 5*t + 12 = 0, 0 = 3*k + 2*t + 3. Let v(c) = 816*c - 3218. Let n be v(4). Solve n*d - 45*d = -k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -n - 21. Let s = n + 20. What is the tens digit of (1 + 2\/1)*(s - -58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))**(1\/53)*(c\/(c*c*c**(1\/3)\/c))**(-3\/23))**42 assuming c is positive.\nAnswer: c**(42\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-462))\/(-13)*12.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:50 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1134\/17, 1, -5, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*g = -5 - 4, 0 = g - 3. Sort 9, m, 0 in descending order.\nAnswer: 9, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549311*s - 549287*s + 1098605*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*-7*(-30)\/84\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntnttntttttntnttnt. What is prob of sequence tt?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, y: 2}. What is prob of picking 3 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-2)\/y*y)\/y)**(12\/7)\/(y**(-1\/4))**(-4\/17) assuming y is positive.\nAnswer: y**(-415\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 greater than -1490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by -2 + -14 - (-3968)\/32.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 178, 265, 352, 439, 526?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3084207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -141167 (base 8) to base 4\nAnswer: -30021313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Solve k*v - 1 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*x - 57 = 4*x, 0 = -4*x + 12. Suppose 2*l = -3*h + v, 4*l - 5*h - 30 = -l. Solve -3*w - 2 = -p, w = -w - 4*p - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 35. Let v be (-10)\/q + (-24)\/14. Suppose s + 3*b = 3, 57*s - 2 = 58*s - 2*b. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q - 452. Let p = -113 - q. Solve p = -2*n - 2 + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18454*-0.48\nAnswer: -0.0885792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -1\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 23 + -7 + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -2*y**2 + 0*y + 0*y**3 - 1\/24*y**4 + 0. Let b(x) = -4*x**2 + 5*x**2 - 2*x**2 - x**2. Give b(t(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k. Let n(x) = 154118213*x**2. What is s(n(w))?\nAnswer: -462354639*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2181 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.6448 to 1 dp.\nAnswer: -55.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -987, -1973, -2959?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102032232 (base 4) to base 13\nAnswer: -27cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:54 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -1 - (3 - 3 - 23).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.7869 times 69?\nAnswer: -29310.2961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s - 21*s + 7 = -65 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 9*x**2 + 17*x - 12. Let r(f) = 3*f**2 - 7*f + 11. Let y be r(2). Does 42 divide q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3590 is divided by 710?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8141 = 6*p + 3589. What is the third smallest value in -2\/11, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191 - 191 + 19*d**2 + (-2*d - 3*d + 2*d)*(-10*d + 15 - 15) to the form i*d + o*d**2 + x and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(475))**2) - sqrt(152)\/(sqrt(800)*-2).\nAnswer: -2832 + sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z. Let n be 0 + 0 + (-11 - -13). Suppose a - 28 - n = z. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -159*c + 156*c + 7, k = 5*c - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 4*t**2 + 16*t - 13. Let b(v) = 2*v**3 - v**2 + 4. Calculate -4*b(a) - s(a).\nAnswer: -7*a**3 - 16*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/7 (b) 1 (c) -0.04 (d) -3 (e) 0.1495 (f) 0.3 (g) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, e: 1, l: 1, w: 4}. What is prob of picking 1 l and 2 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167443338 to the power of 1\/2, to the nearest integer?\nAnswer: 12940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 15. Let b be x(0). Let v = b + -2. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 14*n - 57. Let c(i) = 2*i**2 + 16*i + 65. Let x(y) = -7*c(y) - 8*m(y). Determine x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -111 and 1.1804002408.\nAnswer: -109.8195997592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -4*w - 3*o, 3*o + 24 = 7*w - 3 + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + -0.1383013.\nAnswer: -79.1383013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/5 + 33028*f\/5 - 33027\/5 = 0 for f.\nAnswer: 1, 33027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 - 5 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7.407 * 38\nAnswer: 281.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let f(q) = 532996298*q**2. What is z(f(m))?\nAnswer: 284085053681704804*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 26003. Let h be u(0). Let m be 2\/3 - (-678022)\/(-6). Let j = m + h. What is j rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-8) + (-554)\/(-8) is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:41 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * 1.3\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(-6) - (-6)\/4. Let o(h) = 12*h**2 - 4*h - 5. Is o(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1*sqrt(117)*-2)*-6 + 2 - (-4 + sqrt(117)*1 + -2 + 0))**2.\nAnswer: 240*sqrt(13) + 2989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -42?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-64)\/36*-3)*0. Let v(d) be the second derivative of 0*d**3 - 1\/3*d**4 - 8*d + 1\/2*d**5 + 0*d**2 + g. What is the third derivative of v(s) wrt s?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93331, 186671, 280009, 373345?\nAnswer: 466679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -77*p**3 + 4*p**2 - 5. Let u be o(-2). Suppose 0 = -a + 6*a + 160. What is the remainder when u\/27 - (a\/18 - -2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -5*q, q + 4 = 2*f - 1. Suppose -5*w = -83 - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -11, -2, 7343?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u**3 - 1 + (-3*u**2 + 0*u**2 + 2*u**2)*(0*u + 11*u - 167 + 182) to the form s*u**2 + f*u**3 + q*u + y and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g. Suppose -y = 5*n + 324, 3*n + 5*y = -g*n - 190. Is 7 a factor of 2\/(-9) + n\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + q + 7, -20*t + 19*t + 21 = 5*q. Let s(w) = 3*w**3 - 10*w. Let k(v) = 5*v**3 - 19*v. Determine t*k(b) + 7*s(b).\nAnswer: b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67597 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 616 = 19*x + 42*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10*q = -14*q + 76, -4*v + 5*q = -40. What is the greatest common factor of 350 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185284708 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -2330464261.4.\nAnswer: -2330464260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -61*w**2 - 170*w - 8. Let p(i) = 49*i**2 + 169*i + 7. Give 5*p(k) + 4*z(k).\nAnswer: k**2 + 165*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 420 = -114. Let p be (-286)\/(-9) + (-4)\/(-18). Let j = z - p. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21833\/10 + 2176. Calculate the common denominator of j and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-308)\/(-6248))\/(-1)*(-16)\/28?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-126) - (5575\/(-14))\/(-25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/((-83)\/(-2075))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -6882.\nAnswer: -6882.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1027920 divided by -342640.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 33. Let r = f - -44. What is the greatest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*k - 9 = 71, 0 = -2*i - k + 77. What is the greatest common divisor of 52 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6708041*x**4 - 2721335 with respect to x.\nAnswer: -26832164*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347 + 0.8.\nAnswer: -346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -4. Let x = -16.63 - -16.13. Which is the biggest value? (a) x (b) m (c) 1\/4 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*s - 112*s + 5*p = 108*s - 62, 3*p + 30 = 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/299*20*(-23)\/(-1035))\/(2\/3)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2703419357 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 2*q**2 - 3*q + 10395. Is 105 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -10*b. Let w be (-12 + 15)*(1 + b). Suppose -5*n + 4*i + 84 = 0, 5*i = -0*n + w*n - 40. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - (6 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (4\/38 - -1). Let a = 7 + -7.4. Let z = -12 - -82\/7. What is the third smallest value in z, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose j = 2*g - 4*g + 6. Suppose -2*a = g*p - 7, p + 17 = 4*a + 4*p. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-412642)\/(-76) - (-45)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135440156 divided by -33860039?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 181*n**4 + 187*n**3 + 913*n**2 + 546*n = 0.\nAnswer: -182, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -102002112 (base 3) to base 8\nAnswer: -17627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m = -s + 23, -2*s + m + 74 = 0. Suppose 3*u + 48 = 2*a, -2*a - 5 = 3*u - 41. What is the remainder when s is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 26, 34, 42?\n\"Answer: 8*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + 5 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - -77. Suppose 106*c = x*c - 166. Is c < -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2 + g + 4*g - 6*g. Suppose -5*t + 20 - 5 = 0. Let f be x(t). What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -28107, 4, -3\/2, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1020493 by 20.\nAnswer: -1020493\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let h(k) be the second derivative of k**5\/20 - k**4\/6 + 3*k**2\/2 - 6*k. Let u be h(0). Let t(m) = 0*m - u*m - m - 6*m. What is q(t(o))?\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10544, -42196, -94964, -168848, -263848?\n\"Answer: -10558*b**2 + 22*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) -19 (c) 0.176 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62926.22 centuries to years.\nAnswer: 6292622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.276 - -4.276. Sort 1\/10, 34, 2\/7, j in descending order.\nAnswer: 34, 2\/7, 1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4358, 17446, 39244, 69740, 108922?\n\"Answer: -2*s**3 + 4367*s**2 + s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 19. Let l = z + 12. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/11 + 368*b**4\/11 - 5762*b**3\/11 + 14028*b**2\/11 = 0. Calculate b.\nAnswer: 0, 3, 14, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9*25.933\nAnswer: -233.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-5))\/(5\/(-350)). Let o be (-3)\/(-2) + (-371)\/(-14). What is the greatest common divisor of o and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -261813545?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**5 + 89175*r**4 - 178330*r**3 = 0.\nAnswer: 0, 2, 17833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffbffbibfsiibifi. Give prob of sequence is.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*q - 8, 5*s + 56 - 49 = -2*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by 13505?\nAnswer: -3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 535*l**2 + 15*l - 5340. Let g(f) = -77*f**2 - 2*f + 763. Let x(i) = -2*c(i) - 15*g(i). Find the first derivative of x(w) wrt w.\nAnswer: 170*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 11*b**3 + 0*b**3 - 22 - 5 wrt b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*n + a, -2*a + 2774 = 66*n - a + 3169 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + 12?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*x**3 + 231*x**3 + 5*x**2 - 4*x**4 + 8*x**2 + 6*x**4 - 1 - 4*x**4 to a*x**2 + v + u*x + q*x**4 + c*x**3 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1642393138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916852322?\nAnswer: 2, 3, 7, 11, 233, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 + y. Let r be h(5). Let j(m) = 131*m - 254. Let t be j(2). Solve 3*x - r = t*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*g - 11*g**2 + 12*g)*((g**2 + 0*g**2 - 2*g**2)*(2 - 1 - 2) + 0*g + 0*g + 2*g**2) to the form c*g**4 + a*g + m*g**2 + s*g**3 + f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31060362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -825. Let f(a) = -a - 857. Determine 4*f(i) - 3*m(i).\nAnswer: -4*i - 953","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/130 and -59\/5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -204. Let y = 783640833.0000051 - 783640895. Let w = y + c. Round w to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c + 2. Let z be (-5 + 10)*c\/5. What is the units digit of 10*(12\/(-8) + z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 - 6*g - 21. Let q(c) = c**3 - c**2 - c + 2. Let a(m) = -2*q(m) - x(m). Is a(-8) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/504)\/(43\/301)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/405*3)\/((-214)\/963))\/((-6)\/(-204))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 19. Does 2 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -3\/2*b**3 + 1\/120*b**5 + 15*b + 0*b**2 + 0 + 1\/3*b**4. Let z(u) be the second derivative of s(u). What is z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33124 - 30735. Calculate the remainder when o is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**25*a\/(a**(-10\/9)*a))\/((((a**(3\/4)*a)\/a)\/a)\/(a*(a*a\/(a*a\/(a*a**(1\/20)*a)*a)*a)\/a)))**(1\/94) assuming a is positive.\nAnswer: a**(-1853\/8460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - y**3 + 8*y - y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 14. Suppose 3*y + a*g - 21 = g, 4*y - 15 = 3*g. Suppose -j - 405 = -y*j. What is the greatest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10*(-10)\/26. Let j = 0.20431 + -0.30431. Which is the nearest to 0? (a) j (b) -13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 6380?\nAnswer: 637c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Let k(h) = -h**2 + 0*h - 3 - h + 2*h**2 - j. Let w = -8 + 2. Let t(y) = -1. What is w*t(z) + k(z)?\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246*l - 171 with respect to l.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1000010110 (base 2) to base 7\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37942285, -75884572, -113826859?\n\"Answer: -37942287*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27247 - 2*f + 3*f + 0*f - 6141.\nAnswer: f + 21106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3852 and 8730?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -277, -1015, -2485, -4939, -8629?\n\"Answer: -42*w**3 + 12*w**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-5)*(-3)\/6 - 2. Let a = m - -2\/5. What is the nearest to a in 0.6, -0.1, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from vvxvvvlhllvsf.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -402*z. Let m(r) = -r - 442. What is m(l(i))?\nAnswer: 402*i - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56875 is divided by 1538?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*x + 43914 = 291*x + 2436*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0.2, -3\/4, -2, -0.009?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12354 + -12354)\/((1 - 17)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 305573502640.\nAnswer: -305573502638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20686 + -20687. What is the fourth smallest value in -29, 4, h, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 14, u: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-4\/9)*r))\/(r\/(r\/(r**14*r))))\/(r**(-2\/5)\/r**(-3\/4)))**(-11) assuming r is positive.\nAnswer: r**(31493\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 0. Suppose 41*z - 44*z + 15 = 3*r, 5*r = 3*z + 1. Solve -19 = r*a - 0*a - 3*y, -5*a + 4*y - 37 = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*p + 8225 = 521*p - 417*p for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/4)*u**2)\/((u\/(u*u\/((u\/(u\/(u*u**(-2)*u)))\/u)*u))\/(u**(-2\/5)*u)) assuming u is positive.\nAnswer: u**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c9d (base 15) to base 3.\nAnswer: -10120111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*n - 39936 + 43806 = 0 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d**2 - d. Let p be c(1). Let k be 13 - (1\/p - 2). What is the greatest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/21 + 3 + 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m - 194*m**2 + 659*m**2 - 109*m + 959*m**2.\nAnswer: 1424*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from ikil.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98, 363, 628?\n\"Answer: 265*a - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = o - 13, -3*o - q = -49. Suppose -2*l + o = 3*m + 2*l, -l + 17 = 5*m. Suppose n - 40 = -m*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 508 - -684. Suppose -h - 7*h + j = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -82*t**2 - 9*t - 9. Let k(d) = -33*d**2 - 5*d - 5. Give 5*k(w) - 2*m(w).\nAnswer: -w**2 - 7*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-14 + 7*w**5 + 14).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1870*d - 46. Let g(a) = 268*a + 7. Calculate -20*g(p) - 3*l(p).\nAnswer: 250*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 605*z**2 + 379945*z + 3140 = 0.\nAnswer: -628, -1\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -82, -294, -724, -1444, -2526?\n\"Answer: -12*i**3 - i**2 + 21*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2772952*l**2 - 3*l - 762.\nAnswer: -5545904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-90) - 4\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 783, 1583, 2383?\n\"Answer: 800*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*17 + 4\/8. Let r(l) = 6*l + 52. Let n be r(y). Sort 5, -1, n, 1.\nAnswer: -1, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -775, -655, -425, -49, 509?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.5615 litres to millilitres.\nAnswer: 356561.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 6*q**5 + 4*q**5 - 4*q**5 - q**5 + 4*q**5 + (q**2 - q**2 + q**3)*(-2*q**2 + 0*q**2 + 0*q**2).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67979 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 11:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2875\/230*60\/(-125)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + -99. Solve 0*i - x = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 925706?\nAnswer: 9257060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6103809 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 164 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (702\/3393)\/((-1)\/(-116))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 4. Let i(a) = 2*a**3 - 6*a**2 - 3*a. Let k be i(5). Let u = 23 + k. Calculate the highest common factor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 64 + 42)*(-w + 4*w - 2*w) - w + 2*w + 10*w.\nAnswer: 89*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = -9. Let g = -112 - -114. What is the greatest common divisor of g and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:18 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 177701 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24038)\/(-22321)*52\/(-88).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*p + 31*p + 184*p - 396*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 5221 + 9771. Let o be (2 + h)*(-7)\/105. Which is smaller: o or -62?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530024134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from sqzzzqbzbqnqqqzfszqq?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -280b + 4?\nAnswer: -2807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 445 + 1649 = 3*s, 3*s - 4*i = 2095. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7896 - 4?\nAnswer: -789a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954 = 8*u - 890 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 1500. Let l(t) = -t + 375 - c. Let p(k) = -14*k**2. Calculate p(l(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 2 y when four letters picked without replacement from {a: 1, d: 1, n: 1, y: 5, x: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**4\/4 - j**2\/2 - 11. Find the second derivative of a(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -20. Let t = 55\/7 - 53\/7. What is the second biggest value in h, 3, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23790021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s + 32*s + 8*s + (0 - 7 + 3)*(2*s - 4*s + s).\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*l + 4, -8*c + 6*c + 5*l - 6 = 0. Solve -i = 2*o + 3 - 4, -c*o = 5*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from fggfgfgfgfgf.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gltttttatttt. What is prob of picking 1 g and 2 t?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*i*y**5 + 2*i*y**3 - i*y**2 + 854*i*y + i + 64*y**5 wrt y.\nAnswer: 2220*i*y**2 + 12*i + 3840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {i: 1, p: 2, n: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 746.\nAnswer: -6714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 89*h + 2. Let u(p) = 589*p**2. Give y(u(z)).\nAnswer: 52421*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 204007.4 millennia?\nAnswer: 20400740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1921584 divided by 38\nAnswer: -50568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, v: 14}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -6 + 3 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2\/4 + 30*v = 0. Calculate v.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 32*b - 16 - 86*b + 44*b. Let m(f) = 2*f + 3. Let x(v) = -2*i(v) - 11*m(v). Determine x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:00 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*s*x**2 - 3*s*x - 3*s*z - 3*x*z**3 + 176*z**3 with respect to x.\nAnswer: 22*s*x - 3*s - 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a = -148*a - 330 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16070 or 16066?\nAnswer: 16070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 298, 448, 598?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m = 73*m + 45. Suppose 8 = -2*j, -m*g + 5182 = -5*j + 267. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 16. Let w = j + -10. Which is greater: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/(3\/8). Let l(n) = -3*n + 6. Let g(j) = -4*j + 5. Let t(v) = d*g(v) - 5*l(v). Let b be t(-11). Is 2 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 153677068 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (656 + -2)*((-105)\/(-90) - (-1 + 1)). Solve 0 = -2*c - 763 + b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 408\/6 + -1 + 5. Suppose q + n = 10*q. What is the greatest common factor of q and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/30 + ((-15)\/(-25) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.404 times -9.4?\nAnswer: -3.7976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Solve f = 4*d - 4 - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*t**3 + t**3 + 2*t**3 + (6*t**3 + 4*t**3 + 5*t**3)*(-3 + 2 - 2).\nAnswer: -65*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.1. Let n be (1 - 1\/(-3))*3. What is the nearest to -1 in n, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/80 + 1\/16. Let d = -42337\/5 + 8469. Let -t*k + 7\/5*k**2 + 0 + 3\/5*k**4 - d*k**3 = 0. What is k?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w + 0*w**3 + 0*w**6 + 0*w**4 + 0 + 0*w**7 - 29\/336*w**8 + 3*w**2 + 7\/30*w**5. What is the third derivative of h(l) wrt l?\nAnswer: -1740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186534 and 43344.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 27*m + 50. Let n(d) = -3*d**2 - 81*d - 150. Let u(t) = 7*l(t) + 2*n(t). Determine r so that u(r) = 0.\nAnswer: -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3591946 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from ddddddyddddddddydddd?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-2632)\/88 + -3 + 5\/(-55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 - 9*c - 4. Let p = -562 + 564. Let o(w) = w + 1. Let j be o(1). Let r(i) = -4 - 2*i**p + 3 + 2 + j*i. What is 6*g(b) + 26*r(b)?\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.3. Suppose -78*b = -61 - 95. What is the closest to 2\/11 in k, b, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1568? (a) 37 (b) -1 (c) -1.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 108\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92961 is divided by 46463.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3864 + 17718. What are the prime factors of p?\nAnswer: 2, 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-8 - (0 - 4)) + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358081 is divided by 22369.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 + 278. Suppose 0 = 7*r - 3*r + 4. Let z(t) = 15 + 0*t + 3*t**2 + t**3 - 3*t + 2*t - 14. Let q(a) = -a**2 + a - 1. What is p*q(f) + r*z(f)?\nAnswer: -f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*v - 530 = -2*x, 384 = 3*x - 3*v. Suppose 5*a = 3*k - 177, -191 = 4*a - k - 55. Let z = x + a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 172 + 192 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.35. Let y = 14 + -13.9. Which is the second smallest value? (a) p (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127525\/89 or 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 80. Suppose 3259 = -w*v - v + 5*c, 4*c - 8 = 0. Is (-4 - v\/(-3))*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Let v be ((-10)\/j)\/(-1)*2. Let t(a) = 3*a - 15. Let z be t(v). Solve z = n - 4*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Suppose 7*b - 3*b - y - 4 = 0, 0 = -3*y. Sort 5, i, b.\nAnswer: i, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmvmmmmvm. Give prob of sequence vmv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 692844*k**2 - 2*k**3 + 2*k + 2*k**4 + 3*k**3 + 2*k**4 + 8 - 692843*k**2 to a + s*k + p*k**4 + f*k**3 + d*k**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + k**2)*(3*k + k - 7*k) + 4*k**3 + 76*k - 76*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 768, 1555, 2342, 3129, 3916?\n\"Answer: 787*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 265, 791, 1743, 3247?\nAnswer: 5429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - -7) - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 2, 7196, -4.\nAnswer: -5, -4, -1, 2, 3, 7196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643677, -1287355, -1931033, -2574711, -3218389?\nAnswer: -3862067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/10)\/(((-168)\/5)\/(-14))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + (0 - 25) + 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*56\/(-21). What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.97 + -7.27. What is the closest to k in 4, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 135 = -205 - 398 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 14 + -12 - -8264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 802 - 797. Suppose -97995 = -2*r + 3*r + c*y, 0 = r + 3*y + 97997. What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/141, 0, 2, -10, -2\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - u + 20, -3*u + 30 = -5*l - 2*u. Let z = -4.8 - -5. Let f = 379 + -381. Which is the third smallest value? (a) l (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -13. Suppose -4*r + 760 = 2*p, 2*r = k*r - 3*p - 770. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 4 - 8*n**2 + 18*n**2 + 6*n**2 - n**2. Let j(k) = -44*k**2 - 17*k - 13. Let x(z) = -8*g(z) - 3*j(z). What is the tens digit of x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(28) - (sqrt(28) + sqrt(28) + 0))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 + p**4\/12 - p**3\/2 - 2*p**2. Let c be d(0). Is 15 a factor of (-2)\/c*102\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**4 - 2*t**3 - 2*t**2 + 6. Let l(u) = 41*u**4 + 11*u**3 + 11*u**2 - 31. Let c(p) = 2*l(p) + 11*q(p). What is the first derivative of c(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 34\/(-20). Let y = -5\/12518 - -300457\/62590. Suppose q*t**3 + 0*t + 14\/5*t**5 + 0 + y*t**4 - 4\/5*t**2 = 0. Calculate t.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + sqrt(52))**2 + 2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/1703 + -529591\/10218. Let n = 1681\/30 + p. What is the common denominator of -7\/22 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 + 0)*(-2 - 2 + 2) - 1 + 5 - 2)*(5*l**2 - 5*l**2 - 3*l**2) + 2*l**2 + l - l + (-l - 1 + 1)*(-17*l - 28*l - 2*l + 1).\nAnswer: 73*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 4}. Give prob of picking 2 f and 1 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 967821668 a multiple of 2123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 153. Let r be j(17). Find the common denominator of 41\/60 and 48\/120 + 58\/(-80) - r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o = 12281 - 1273. What is the remainder when o is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22.3, 186, 5?\nAnswer: -22.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65130163 + 0?\nAnswer: -65130163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(61*s**2 - 24*s**3 - 61*s**2)*(1 + 3 - 5).\nAnswer: -96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) - -4*sqrt(10)\/sqrt(5)) + ((sqrt(17) - (sqrt(17) + 0 + 2)) + sqrt(17) - (-2 + sqrt(17) - sqrt(17))*-1).\nAnswer: -4 + 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 8. Let o be m(-3). Suppose o*h = 7*v - 4*v - 7, -2*v - 5*h = 3. Calculate the greatest common factor of v and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 17*t**2 - 12*t - 24. Suppose 0 = -117*m - 39*m - 936. What is w(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -677 - -680. What is the third biggest value in -5, 0.1, b, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 6*v - 4. Let p(g) = -13*g - 5. Let r(k) = 2*k + 1. Let m(y) = p(y) + 6*r(y). Determine -f(s) - 4*m(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014434403 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c - 11. Let l(g) = g**3 + 13*g**2 - g - 5. Let b be l(-13). Let p(o) = 4*o - 4. Determine b*p(s) - 3*r(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h + 3*h. Suppose h*k = 64 + 72. Let t = 51 - k. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 468, 1949, 4528, 8295, 13340, 19753, 27624, 37043?\n\"Answer: 15*m**3 + 459*m**2 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -230*c**2. Let d(h) be the second derivative of h**4\/4 - 542*h. Give d(s(t)).\nAnswer: 158700*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.54 - 0.5. Let t = x - -0.02. Let q = t - 0.46. Put 0.1, 1, q in increasing order.\nAnswer: q, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*g - a, 18326*g - 18321*g + 55 = 5*a for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2478534, 4957060, 7435540, 9913950, 12392266, 14870464?\nAnswer: 17348520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 0*a**3 - 10*a + 3*a - 3*a - 3*a.\nAnswer: -3*a**3 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 6. Let l(k) = -k + 2. Suppose 0 = -3*o + 5*o + 3*v - 39, 2*o + 5*v - 49 = 0. Let i be o\/(-2 - 2) - 4. Calculate i*l(t) + 2*h(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7\/f*f**(-5\/2)\/f)\/(f*(f\/(((f\/(f\/f**(1\/3)*f))\/f)\/f))\/f*f\/f**16))**(-1\/90) assuming f is positive.\nAnswer: f**(-83\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12145*c*l**2*x**3 - 181*c*l**2 - 156*c*x**3 + 3*c*x**2 + 9*c*x + 14*x wrt x?\nAnswer: -72870*c*l**2 - 936*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34744)\/(-12120) + 2\/15. Find g such that -16\/9*g**3 + 28\/9 - w*g**2 - 1\/9*g**4 + 16\/9*g = 0.\nAnswer: -14, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2 + -1 - (80 - 2736) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*w**3 + w + 0*w**2 + 95*w**3 + 4*w**2 - w**2 + w**2 to i + k*w**3 + g*w**2 + j*w and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((k**(1\/3)\/k)\/k*k)\/k)\/k)**40*(((k**(1\/6)\/k)\/k)\/k)\/k*k**6 assuming k is positive.\nAnswer: k**(-129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 - 606*f**3 + 175*f**2 + 140 + 5*f**4 + 751*f**3 + 400*f + 220*f**2 = 0. What is f?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**3 - 9*o**2 + 12*o. Let g(z) = 4*z**3 + 8*z**2 - 11*z + 1. Let r(h) = -4*g(h) - 3*y(h). Let p be r(-6). Let m = 41 - p. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 102. Let x = t - 79. Let s = x + 35.000077. Round s to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 466079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100840\/207 or -486?\nAnswer: -100840\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34501 or -34500?\nAnswer: -34501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.095.\nAnswer: 1.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 (base 8) in base 3?\nAnswer: -110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, j: 5, e: 4}. What is prob of picking 2 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10408780 by 4.\nAnswer: 2602195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17913 + 10433. What is r rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 696 + 3812 = 0. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-106))\/(-7 + 528\/77). Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(135) - sqrt(135)*-3) + sqrt(135) + (sqrt(135) - 3*sqrt(135)*-3))\/((sqrt(500) - 2*sqrt(500)*2) + sqrt(500)*1*-2))**2.\nAnswer: 14283\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2)*(-3 + 5 - 4)*(2*g + g - g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -262 times 0.0484\nAnswer: -12.6808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:29 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9104 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 55. Let g(h) = h**2 + n*h**2 + h**2 - 3*h**2. Let i(b) = -5*b**2. Let q(w) = 9*w**2. Let m(x) = 15*i(x) + 6*q(x). What is g(m(p))?\nAnswer: -441*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = -27*b + 48438. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 - -817. Is g a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 3*w, 5*h + 10 = w - 10. Suppose 5*c + 295 - 1760 = w. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 + 1 = 0. Suppose 4*c - 1 = 11. What is the remainder when (w - 0)*(1 - -3) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*b**4 - 4*b**3 - 7*b + 341 wrt b.\nAnswer: 1200*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027179516 rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 595*i**4\/12 + 3227*i. Let v(z) = -z**2. Determine v(o(l)).\nAnswer: -354025*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 515766593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3 - 41797*g**2 - 7613*g - 114 wrt g?\nAnswer: 30*g - 83594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(18\/(-81)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 + 9 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(30))\/sqrt(10).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91669\/261 + (-2)\/9 and 72.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*g + 560, -5*g = -3*s + 6*s - 595. Let m = 3\/599 + -40145\/2396. Calculate the common denominator of (g\/22)\/(12\/(-9)) and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1 + 3 - sqrt(684))*6 - ((-4*sqrt(38))\/sqrt(2) + sqrt(19) + sqrt(19) + (-3*sqrt(19))**2 + -3).\nAnswer: -156 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 0 + 5 + (10 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/3 (c) -4017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10061*z**2. Let h(y) = 16*y**2. Determine h(k(r)).\nAnswer: 1619579536*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let o(t) = t**3 + 7*t**2 - 4*t - 17. Let a(f) = -o(f) + w(f). Let g be a(-8). Suppose 0 = -3*c + 1831 + g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*2*-4*1*((sqrt(80)*3)**2*-5 - sqrt(80)).\nAnswer: -172799 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l + l. Suppose -1 = l*u - 5. Which is smaller: -2\/5 or u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -13. Suppose 0 = -3*f - b*q + 33, -2*f = q + 4*q - 16. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2)*c)\/c)\/c)\/c**(-6))\/(c**3*c**16) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 18 - 6. Let i be t\/(-8)*8\/3. What is the remainder when i\/(1\/(-75)*-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 2*u - 11*o, 0 = 5*u - 6*o + 7*o - 416. Solve 0 = 2*q - u + 97 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 56 = -20. Let z be t\/(-4)*(-128)\/24. Let k = z + 41. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 30 = 5*d, -363229*d + 20 = 3*u - 363230*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(4\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132796*c**3*q**2 - 2*c**3*q - c**2*q + 6423404*q**2 wrt c?\nAnswer: 796776*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 1 = 6*n. Suppose -f = 5*z - 126, 8*z + n*f = 3*z + 110. What is the remainder when 45 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/67 and -71\/15.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 - 124*j + 515. Calculate a(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42160868 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u - 39*u = -259*u - 161*u - 9345 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -8. Let o = l - 8. Solve -5*n - q = -4, 5*n + 2*q - 3 = -o*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/112 + 1017\/2373?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -28. What is the second biggest value in 1\/5, g, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 38*j - 42. Let n(s) = 64*s + 494. Let b be n(-8). Calculate l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76667 is divided by 74?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from ttzzztptzztzzpttttp.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 14) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 - -296. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Suppose 0 = o + 20*o - 105. Does o = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*t - 10 = 251*t. Solve -2 = -t*b + 4*z - 4, -3*b + z + 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21203 by 7.\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*w**4 - 5)*(-1 + 0 - 1) + 14*w**4 - 15*w**4 - 31*w**4 in the form b*w**3 + r*w**2 + i*w**4 + h*w + k and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2981 - 2931. What is the lowest common multiple of i and 135?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.00096 + 4. Let k = m + 0. What is k rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 - 335. Solve j = 4*s + 4*l + 8, -2*s - l = 2 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32244353 rounded to four dps?\nAnswer: -0.3224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 14) to base 4.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:54 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(144\/(-32))*3*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 55) + 20 - 108\/(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39994693 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -615 (b) 3 (c) 0.5 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 + 5*y + 34. Let h(p) = 4*p**2 + 2*p + 11. What is 2*f(c) - 7*h(c)?\nAnswer: -2*c**2 - 4*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:55 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -78 (b) -0.5 (c) -2\/17 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 + j**4\/4 - j**3\/3 + j**2\/2 - 12*j. Calculate q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*i - 189 + 48, -5*p + 25 = 0. What is the tens digit of ((-26)\/i)\/((-1)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.23551 * -0.5\nAnswer: -1.117755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496725.\nAnswer: 3, 5, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207759 is divided by 103873.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 p when four letters picked without replacement from uupuuuqulpqxuqlxlul?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15)\/b**11 assuming b is positive.\nAnswer: b**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -8. Let d = 0.44 + 0.06. Sort d, -1\/2, b.\nAnswer: b, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13636234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1403633 (base 7) to base 16\nAnswer: -2d770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/21920 and -28\/1968005.\nAnswer: 62976160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 7*b**2 + 6*b + 2. Let t be n(6). Let r be (8\/(-4) - -5)\/(6\/(-4)). Let i = -2734 - -2734. Sort i, -3, t, r.\nAnswer: -3, r, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86, -127, -98, 37, 314?\n\"Answer: 6*y**3 - y**2 - 80*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/1771 - 56708\/15939. Is l at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1038484.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 at most 742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, -1.3, -3, 2\/7?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*t - 3*u = -336*t + 27, -5*t + 25 = -5*u + 3*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/36636?\nAnswer: 1\/36636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94702, -379104, -853098, -1516684, -2369862, -3412632?\n\"Answer: -94796*i**2 - 14*i + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.287167 + -60.03717732. Let h = 2.25 - g. Round h to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 32.35. Let g = -54185 - -54185.5. What is the smallest value in x, g, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v + 2. Let w(s) = s**2 - 11*s + 12. Let u be w(9). Let q be g(u). Let z(d) = 3*d - 8. Calculate the smallest common multiple of 12 and z(q).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(278 - (-19 + 11))?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 0.47050294631771?\nAnswer: 0.17050294631771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1258 + 1264. Solve 13*x - b - 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, and 1 o when three letters picked without replacement from {d: 2, o: 1, m: 1, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 16. Let s = -6.88 - a. Let i = 0.4 + s. Round i to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:50 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhttnq. What is prob of sequence nqh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert 50789.37ug to milligrams.\nAnswer: 50.78937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 5*o + 40070, 3*q + o - 24054 = 0. Suppose m = -5*t + q, -3*m - 5902 - 2107 = -5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 2, 3, 37, -5, 6, -1 in ascending order.\nAnswer: -51, -5, -1, 2, 3, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 48908*u + 48914*u = 48, 4*c - u = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11782718806523511*g + 11782718806523512*g + 5*g**3.\nAnswer: 5*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 16*k + 16 = -5*d, -4*d + 3*k = 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + sqrt(72)*-3 + sqrt(72))\/sqrt(6))\/(sqrt(4) + (sqrt(144) - sqrt(144)*-1)))**2.\nAnswer: 3\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/1180 - (-27)\/60.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 63. Let g be (48\/h - 2) + (-24300)\/(-63). Let f = -241 + g. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from mzczcmmmcccmmcc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 + w + 5. Let t(m) be the second derivative of -m**5\/5 + 3*m**2 + 8*m. Suppose 5*p - 3 = 7. Let v(b) = p*t(b) - 3*n(b). Give v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 5 + i**2 + 11 + 6 - 5*i. Let v be z(4). Suppose u + 3*f = 107, 3*u - v*f - 373 = -0*f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 2 m when four letters picked without replacement from nunbmbmub?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4581, 5108, 5987, 7218, 8801, 10736, 13023?\nAnswer: 15662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/((sqrt(1452) - (sqrt(1452) + (sqrt(1452) - sqrt(1452)*2)) - sqrt(1452)) + sqrt(12)) - sqrt(288)\/(sqrt(36)\/(sqrt(32)\/sqrt(8) + sqrt(4))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 30507 - 30507.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-one thirds of a day?\nAnswer: 29280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q, 0 = -5*i - q + 80. Let j be (-9)\/4 + 4\/i. Is j\/8 - (-4458)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by (-120)\/(-96) + (-326)\/(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**3 + a**3 - 3*a**3)*(-3*a - 2*a + 4*a) - 17 - 94*a**4 - 69*a**4 + 17 in the form w*a + g*a**3 + t*a**2 + l + f*a**4 and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/30 + 5*s**4\/24 - 7*s**3\/2 + s**2 + 601*s. Let w(b) = 3*b**2 + 8*b - 32. Give 8*l(y) - 5*w(y).\nAnswer: y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 90 = 9*f. What is the remainder when 16 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2385832.044 + 2369186. Let u = v - -16599. Let x = u + 47. Round x to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171 is divided by 1288?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-884))\/(6\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 10958707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6948 divided by -4.\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (11 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -24*c**5 - 964*c**4 - 9680*c**3 + 1548*c**2 + 29920*c - 20800 = 0?\nAnswer: -20, -13\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -280 - -401. Let x = n - 6. Let g = x - 584\/5. Is g > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27612 divided by 531\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 501?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/3 + 104*k**3\/3 + 2024*k**2\/3 + 5824*k + 18816.\nAnswer: 2*(k + 12)**2*(k + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -158b - 48?\nAnswer: -15d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.98. Let m = -4.98 - r. Let h = -0.7 + 0.2. Put h, m, 5 in descending order.\nAnswer: 5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*f - 3*y - 52, -4*f - 3*y = 175. Let u = -25 - f. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 1168\/(-144))*6 + 38\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -16645190?\nAnswer: -1664518b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 6*t. Let w(l) = -2*l + l + l - t*l**2. Let n(k) = -37*k**2. Determine w(n(f)).\nAnswer: -2738*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*c = -241*c + 14. Let x(p) be the third derivative of -p**6\/120 - p**4\/24 + p**3\/2 - 4*p**2. Let o be x(0). Solve -c*n - o = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2648 - -5\nAnswer: 2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 44. Suppose 4*o - t = -0*o. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-54)\/30 - 295\/(-25) - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*o**3 + 34*o**3 + 38*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, w: 1, e: 2, u: 3, t: 1}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m. Let r(c) = 5*c**2 - 4*c - 2. Suppose 0 = -2*g - 2720 + 2728. What is g*v(d) + r(d)?\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**5 + 3*v**4 - 4*v**2. Let s(r) = -12*r**5 + 8*r**4 - 12*r**2. Let u(h) = -8*b(h) + 3*s(h). What is the third derivative of u(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2793\/7870?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00342 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225483.\nAnswer: 3, 75161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -984518160 divided by 24\nAnswer: -41021590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**2 - 2345399*g\/2 + 586349\/2 = 0 for g.\nAnswer: 1\/4, 586349\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3\/5 (c) 2\/15 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2173 - 1115. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111, -232, -355, -480, -607, -736, -867?\n\"Answer: -r**2 - 118*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 22*j - 70. What is p(10)?\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from bbbjxpbjbyblj?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301202 + 101?\nAnswer: 2301303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 + 10*g + 2. Give x(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 11) in base 15?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, z: 4, x: 5, g: 3}. Give prob of picking 1 g, 1 z, and 1 x.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27369287 is divided by 28480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-2 + -4 + 3)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738823?\nAnswer: 19, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -2\/3, -4\/16431?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeesxxxxexxxqeqexq. What is prob of picking 1 e, 2 q, and 1 x?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 + 197 + -1 + -3 - -12 - -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 - 5*w**2\/2 + 6*w - 5. Let s = 4843 - 4837. Calculate g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/80 and -89\/13000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -2 (b) -69 (c) 1\/4 (d) 79 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 4 - 4 + (2*s - 3*s + 3*s)*(0 - 26 - 26))*(-3 + 2 + 0) as x + p*s and give p.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-50))\/(190\/(-285))*5\/(-9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. What is the nearest to 0 in 2, 4\/9, m?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26573\/33925 - -1\/1475. Let v(h) = -h**3 + 76*h**2 + 161*h - 390. Let g be v(78). Is g bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177 and 3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 = 760*u - 401*u - 383*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 208, 128, 46, -38, -124?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a - 39. Is g(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 2\/13, 0.5, -26, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*c = 17, 119*c - 20 = 7*k + 117*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10631.78 times -24\nAnswer: 255162.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 4. Let g be h(0). Let c(q) = -3*q**3 + q. Let y be c(-1). Find the third derivative of 2*s**2 + s**g + 0*s**y - s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 v when four letters picked without replacement from {m: 7, f: 1, v: 3, s: 4, x: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940 divided by -2.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let i be f(-4). Suppose 7 = 2*z + i*x - 1, 4*z + 2*x = 4. What is the units digit of z - (-12)\/(-4) - -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-37)\/((w\/w**0)\/w)**32 assuming w is positive.\nAnswer: w**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 4.7. Let d be -7 + -1 + (-44)\/(-11). What is the smallest value in d, 1\/3, 1\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let u(y) = -336*y. Calculate 1440*m(g) + 5*u(g).\nAnswer: -240*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(84) + sqrt(84)))\/(sqrt(12)*-2*-5 + sqrt(12)).\nAnswer: 10*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r + 6. Calculate b(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/6*t**5 + 0 + 0*t - 8*t**2 - 2*t**3 + 1\/12*t**4 - 1\/120*t**6. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 1110056682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}