diff --git "a/data/dm_maths/full_data_2/203_11255.jsonl" "b/data/dm_maths/full_data_2/203_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/203_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l(n) = -n**2 - 41*n - 270. What is l(-7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3419\/2055 - -2\/685. Let y = 0.4 + -0.1. Let z = -3.7 - y. Which is the third biggest value? (a) 4\/5 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85421 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from nshssnnhhsnsshn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -5.\nAnswer: -132\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 13\/3 (c) 1\/6 (d) -0.4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6145 + -6054. What is the smallest common multiple of z and 329?\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**3 + 1 + 8*t**2 - 2*t**2 - 6*t**2 to the form z*t**2 + i + p*t**3 + c*t and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 3*c + 9 = -12*u, u - 3*c = -21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-41\/3)\/(m*m**(-2\/3))**(5\/8) assuming m is positive.\nAnswer: m**(323\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 30*a**2 - 105*a + 60. Give x(26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose 4*i + i = 5*b + 35, v = 3*b + 4*i + 7. Let w(t) = -t**2 - 5*t + 4. Let a be w(b). Solve a*q + 3*z + 16 + 0 = 0, -4 = q - 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2. Let s(k) = 16*k**2 + 46*k + 45. Let b(g) = 4*g**2 + 12*g + 11. Let d(f) = -23*b(f) + 6*s(f). What is x(d(c))?\nAnswer: 48*c**4 + 408*c**2 + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 77*t**2 + 138*t + 4. Let d(n) = -6*n**3 + 153*n**2 - 273*n - 9. Let u(w) = -4*d(w) - 9*s(w). Let u(x) = 0. What is x?\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((-297)\/132)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r**4 + 0*r - 1\/1344*r**8 - 1\/480*r**6 + 0 - 4*r**2 + 0*r**3 + 0*r**5 + 1\/420*r**7. Factor v(t).\nAnswer: -t**3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*g - h, 5*g - 20 = 2*g - h. Let i(t) = 0 + 3 - 4*t + g*t + 0. Determine i(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + 19.87. Let c = a - 34. Let s = c - -13.9. Sort 1\/3, s, -3 in increasing order.\nAnswer: -3, s, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 696 in 5, 0.13, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 4*m**2 - m + 6. Let s be a(-3). Solve s = 3*i + 3*d - 7*d + 18, 0 = 5*d - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -52. Let m be (-24)\/(-14) + n\/28. Suppose 0 = -4*p + m*c + 268, 244 = -0*p + 4*p + 4*c. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -m + 2 + 6, 2*o + 3*m - 11 = 0. Let b(s) = 2168*s**2 + 2159*s**2 - 6522*s**2 + 2174*s**2 - s. Calculate b(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from {v: 2, k: 9, b: 1, d: 3, x: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 3*f)*(f**4 + 3*f**4 - 5*f**4) + (-5299*f**2 + 10412*f**2 - 7656*f**2)*(-6*f**3 + 4*f**3 + 3*f**3).\nAnswer: -2541*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -88055 and -1365399241.\nAnswer: -1365487296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -57*z**4\/2 + 1839*z**3\/4 + 1503*z**2\/2 - 22491*z\/4 = 0.\nAnswer: -147\/38, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 15*l - 6. Let o(k) = -4*k**2 + 22*k + 9. Let j(w) = 5*o(w) + 7*t(w). Let v = 255 - 260. Give j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1408*r**2 + 642*r**3 - 1408*r**2)*(-1 + 3 + 0 + (-2 - 1 + 5)*(4 - 5 + 3)).\nAnswer: 3852*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -0.2, -2\/119, 18\/35 in decreasing order.\nAnswer: 18\/35, 0.05, -2\/119, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -3*w + 80, 100 = 5*v - w. Let p = v - 7. Let y = p + -4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23899 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4 + 1918*o**3 + 28416*o**2 + 90496*o - 120832 = 0.\nAnswer: -944, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 155*y**2 - 1 - 43*y**3 - 28*y**3 + 25*y**3 wrt y?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**2*s**3 + 370*i**2*s - 2*i*s**2 - s**4 wrt s.\nAnswer: 60*i**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - g - 3. Let d(v) = -5*v - 17. Let b be d(-7). Suppose w + 2 = b. Let j be 0*(-4 + 68\/w). Give h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d = -66*d + 7*o - 7, 5*d + 5*o = 35 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*j - 0*j + 21, -c + 1 = 3*j. Suppose 0 = -v + 4*q - 40 + 148, j*v = 3*q + 241. Suppose o = 21 + v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 220, 310, 418, 550, 712?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 48050 = -19415. List the prime factors of i.\nAnswer: 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h + 2*z + 8228 = 54*h, -5*h = 6*z - 41124. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + 3)**2 + 2*(sqrt(11) + sqrt(55)\/sqrt(5))**2.\nAnswer: 6*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68211.\nAnswer: 3, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -341422 divided by 2\nAnswer: -170711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124828?\nAnswer: 2, 97, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212120 + 121012221120?\nAnswer: 121020211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15101 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21387944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 7\/2*w**3 + w + 5\/2*w**2 = 0. Calculate w.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h**3 - 4*h + 11*h**3 - h**2 + 1 + h. Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 + 0 = 0. Differentiate 0*x + 5 - 2 + 5*x - b wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 333\/88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 2*r - r + r**3 - 6*r**2 - 9. Let m be u(7). Suppose 0 = 3*x - m*x + 6. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-82)\/(-64) - (1\/(-2))\/1 and -30\/7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 398, 598, 798, 998, 1198?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-27))\/2*3\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -31946*q - 190767. Give c(-6).\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -15. What is the remainder when (6 - l) + 36 - -3 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 2*t + 10*t - 18*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b = 63*b + 524. What are the prime factors of b?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -317, -883, -1479, -2111, -2785, -3507?\n\"Answer: -v**3 - 9*v**2 - 532*v + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22355 + -22331. Solve q*c = 29*c + 5*z, 5*c - 4*z = 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/5)\/(16\/40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 + -0.14. Let q = -3.6 + -2.4. Which is the biggest value? (a) n (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/3*(-24)\/(-4)*-1936. What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 143*c**2 - 2530*c + 173. What is u(32)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3947692722 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3186 - -13993. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 v when three letters picked without replacement from {e: 1, q: 3, j: 3, b: 1, v: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/10 - -1. Let w = 0.0724 + -3.5624. Let t = w - -0.49. Put y, -18, t in ascending order.\nAnswer: -18, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-eight thirds of a decade?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 37 = 65. Suppose 0 = 5*t - 4*z - 22, 4*t + 3*z - 11 = 4*z. Factor 2*c - f*c + c**2 - 3*c**t.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6060*u**3 + 915*u**2 + 6*u?\nAnswer: -36360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89270 greater than or equal to -16\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 843918.57ms?\nAnswer: 0.234421825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o + m + 382, -5*o + 3*m = -954. Let k be 8\/((-5)\/(3 - 13)). What is the highest common factor of k and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 9*g + 41. Let y(b) = b**3 - 172*b**2 - 349*b + 180. Let a be y(174). Let h(t) = -t**2 - 4*t - 20. What is a*n(j) + 13*h(j)?\nAnswer: -j**2 + 2*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32343.609 - 32357. What is c rounded to one decimal place?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000072251642 rounded to 7 dps?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*f**4 - 1\/10*f**5 - 15\/2*f**3 + 0*f + 0 + 25\/2*f**2.\nAnswer: -f**2*(f - 5)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9458 - 3113 + 10139 = -634*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 65. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281478267?\nAnswer: 1281478267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwkkkworkrrkgwwr. Give prob of sequence wr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2015*r + 1019*r + 1022*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 2*g + 2*g - 72*g**2 + 2*g.\nAnswer: -72*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65111084*j**3*y - 1396*j**3 + j**2*y**4 - 1535*j**2 - 2*j - 7 wrt y?\nAnswer: 65111084*j**3 + 4*j**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2457\/10 + 246. Let j = 14045\/988 + 7\/76. Let z = 2953\/260 - j. Calculate the common denominator of z and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/10)\/(((-196)\/168)\/(35\/4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 390.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2*l - 3*c**2*t**3 - 171*c**2 + 101*c*l*t**2 - 3*c*l - 2*c*t**3 - c*t**2 + l*t wrt c?\nAnswer: -14*l - 6*t**3 - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 = 2*n. What is the highest common factor of n and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 651337608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 31. Let c(z) = 6253*z**2 - 4579*z - 124. Let y(d) = -c(d) - 4*q(d). What is the second derivative of y(x) wrt x?\nAnswer: -12498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 48, 125, 224, 339, 464?\n\"Answer: -a**3 + 20*a**2 - 4*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 340997747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -6 + 0 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 146100 (base 7) to base 16\nAnswer: 6f66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 10:09 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 306 - 71)*(3*u + 2*u + u - 2*u).\nAnswer: 1220*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/4 + 285*r**4\/4 + 3*r**3\/2 - 285*r**2\/2 - 3*r\/4 + 285\/4 = 0.\nAnswer: -1, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12847345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-11))\/5*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 20*i**2 - 2. Let p(r) be the first derivative of -3*r**2\/2 - 122. Calculate p(q(s)).\nAnswer: -60*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 28, -25, -3, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**3 - o + 2. Let s be b(2). Suppose 165 = -709*f + 698*f. Let x = f + s. Is 34 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-2 + 28\/6). Suppose 0*l - y = -4*l. Find the third derivative of 4 - 10 + 6 - 3*k**2 + k**l wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {y: 2, d: 3, k: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 10001904?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 61. Let m(o) = -8*o**2 + 2*o + 1. Let y(t) = 32*t**2 - 9*t - 4. Let a(s) = 9*m(s) + 2*y(s). Give a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*h + 288. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 120*v**2 + 900*v = 0. What is v?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121 and 4389?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179040855?\nAnswer: 3, 5, 7, 17, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**2)*(-19*c**3 + 3 + 4*c**3 + 25*c**3).\nAnswer: 10*c**5 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (2\/1 + 2). Let f(y) be the first derivative of -y**3 - 3*y + 2 + 1\/4*y**t - 5\/2*y**2. Determine f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 270\/11?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k = 0. Suppose 0 = 2*h + 6, -5*d + k*h + 5*h + 10515 = 0. What is d rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 273\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2162 = -2158 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 12 + (54 - 35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**2*f**2 + 224*d**2 + 8*d*f**2 + f**3 with respect to f.\nAnswer: -10*d**2*f + 16*d*f + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Which is the nearest to -0.1? (a) q (b) -9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22847 (base 13) to base 16.\nAnswer: -f5cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**3 + 3. Let k(r) = -4*r**2. Give k(v(m)).\nAnswer: -144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = 4*w. Let v = w + -4. Suppose 3*t = 2*t + v. Solve -t*c + 11 = 3*z + 2, -15 = -5*z - 3*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9772 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12398 (base 10) in base 9?\nAnswer: 18005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375798 is divided by 37570.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681539367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 20, -37, -140, -301, -532, -845, -1252?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 10) to base 3.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 1 + sqrt(28)\/sqrt(4)*6 + 3.\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 49 + 16 - 45 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3533\/1333 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97*(-4)\/(-60))\/((3944\/255)\/(-232)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 227241 divided by 32463\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 90, 89, 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 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: Solve -67*n + 3016 = 54*n - 17*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10434027 is divided by 2486.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -1\/7, 5, 3, -5458\/3.\nAnswer: -5458\/3, -0.3, -1\/7, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwb when three letters picked without replacement from {b: 2, w: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:19 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81990497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*m + 2*y = 441*m + 29, 3*m - y - 1 + 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335985346?\nAnswer: 2, 11813, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 370327 divided by -4\nAnswer: -370327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 78.675*9.86\nAnswer: 775.7355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1364 by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3 - 3, -11699994 = -v - 3*u. Round v to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108792119?\nAnswer: 19, 73, 78437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7540 and 1581196.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 12. Suppose -4*g + 178*g = 27*g + 882. Calculate c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 492 - 446. Suppose -120 = -x*w + 22*w. What is the third biggest value in w, 0.4, -3\/16, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*9\/315*-7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 918379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 3, z: 1, q: 2, c: 3, v: 1}. Give prob of sequence acc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 1. Let b be 2\/7 - 322\/98. Suppose -2*t - 13 = -3. What is the nearest to 1\/4 in t, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (((-1251)\/21)\/(-3) - (-19)\/133)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1\/5, 3, -86 in descending order.\nAnswer: 3, -1\/5, -3\/7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 35. What is the closest to -3 in -0.4, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1135 + 1177. Are -9 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.27 - -17.27. Put 1, 9, o in decreasing order.\nAnswer: o, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 30*j**2 + 5*j + 17. What is the units digit of r(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 10*z**2 + 30*z - 3. Let y be w(-12). Does 3 divide (-170)\/(-4)*10\/y*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from ddwdw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 - 16647430.9232\nAnswer: -16647430.8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n - 14. Let q be h(-3). Calculate the highest common divisor of q and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 2 l when four letters picked without replacement from {a: 3, c: 1, l: 3, e: 1, b: 1, f: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15. Let x = r + 5. Solve h - 4 = x*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -3. Let d = 3 - 3. Let i = d + -3. Sort 5, i, w in increasing order.\nAnswer: w, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0121073 to 5 dps.\nAnswer: 0.01211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406126877 a multiple of 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - v**3 + 89*v + 87*v - 186*v.\nAnswer: v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.669 - 2.64186?\nAnswer: -316.31086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u - 3. Let f be s(8). Let g = -3 + f. Factor -2*h**3 + g*h**2 + 2*h - 4*h**4 + h**4 + h**4.\nAnswer: -2*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-55)\/4. Let h be 0\/(-4) - (7 + 1). Let l = h + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -382732.\nAnswer: -382731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 579 + -12157\/21. Let g be -1 + 14\/10 - 0. What is the closest to 1 in 0.1, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/54 and 89\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1631*b**3 + 3*b + 43*b**4 + 1631*b**3 + (4*b**4 - 2*b**4 - b**4)*(4 - 3 - 3) + (1 + 0 + 0)*(0*b**4 - b**4 + 0*b**4).\nAnswer: 40*b**4 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -1315, -1970, -2639, -3328, -4043, -4790?\nAnswer: -5575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/4 - 4\/16. Let x be (l\/(-3))\/(2\/9). Let v = 51 + x. Calculate the highest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9 - 1. Let c be l\/(-6) + 1\/(-3). Let s be c\/5 + 4\/10. Solve s*f - t = 3*f - 3, 0 = 3*f - 2*t + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18090 + 18232. Calculate the remainder when t is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-15))\/((-2)\/18). Let r = l + 0. Let h(x) = x**2 + x - 6. What is the units digit of h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h**(2\/21))**10 assuming h is positive.\nAnswer: h**(-820\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19343, -19171, -18985, -18779, -18547?\n\"Answer: c**3 + c**2 + 162*c - 19507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858159344?\nAnswer: 2, 3, 31, 43, 113, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f + 22*f + 20*f - 3*f**2 + 23 + 8*f**2. What are the prime factors of q(-6)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23869\/7 - 3409. Find x, given that -16\/7 + 40\/7*x + q*x**3 - 4*x**2 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s - 164. Suppose 4*u - 20 = 4*q + 20, 3*q + 2*u + 40 = 0. What is the smallest common multiple of p(-17) and 14\/(-4)*q\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439411780 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnrbdrnddbdn. What is prob of sequence brdr?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 94, 1\/4.\nAnswer: -5, 1\/4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-28)\/63.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2444 is divided by 242?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**3 - 7*k**2 - 4*k - 340. Let b(g) = -g**3 - g**2 - 2*g. Let a(x) = 2*b(x) - w(x). What is the derivative of a(p) wrt p?\nAnswer: 6*p**2 + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -22 + 6. Suppose -18 = 2*a - 122. Let t = 82 - a. Solve 4*l + 0*d - i*d + 4 = 0, 5*l + 2*d - t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**6\/5 - 25*w**4\/24 + 3*w**2 + 20. Let a(p) be the second derivative of f(p). What is the second derivative of a(s) wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4660 + -4399. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -594, -1424, -2662?\nAnswer: -4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/((-3)\/(-12)). Suppose -20 = -4*v - 2*l, -x*l = -v - l. What is the derivative of a**v - a**4 - 3*a**4 - 2 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226803 is divided by 1553.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00301884791 to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024593 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 29, 0.03, 469.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937483287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**2 + 0 - m**3 + 1\/8*m**4 + 0*m. Suppose 5527*x - 4 = 5526*x. Calculate z(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 241.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105768110881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2075 + 1?\nAnswer: -2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 9*l + 15*l**2 - l**2 - 10*l**2 - 4*l**2.\nAnswer: -4*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 6 - 4*u + 11*u**2 + 8 - 2 - u**3. Let h be r(10). Differentiate 2*k + 3 - 7*k + h*k - 4*k wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 668322113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235030720 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 968 + 96*g - 80*g**2 + 46*g**2 + 4*g**3 - 22*g**2 + 0*g**3. Let k(c) = -c**2 + 3*c + 1. Let d(t) = b(t) + 4*k(t). Factor d(n).\nAnswer: 4*(n - 9)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*v - 16912*v + 35777 = -287843 - 778868 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -9574893.\nAnswer: -38299572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)\/i*(i*(i\/(i**(-10)\/i))\/i)\/i assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -17)*6\/12. Let p = k + 32. Suppose 13 = -a + p. Solve -g = g + a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2*a + 5. Suppose 0 = r - 2*y + 12, -5*r - 14 = -2*y + 14. Let j(c) = -c**2 - 4*c + 9. What is r*j(z) + 7*n(z)?\nAnswer: -3*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*n**3 + 7*n**2 - 80 with respect to n.\nAnswer: 54*n**2 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-39)\/(-18)) - 561\/88.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 + 2. Let g(p) = 5*p**2 - 2. Suppose 3*u = -0*u + 12. Let o(d) = u*a(d) + 5*g(d). Differentiate o(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1245 (base 6) to base 14.\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 28*d**2 - 13*d - 471. Let t be z(-14). Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*k - 10 = 11, 4*l - 216*k + 60 = -414*k + 210*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/9 + 3*w**2 - 56*w\/3 - 196\/9 = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -16272178 - 10208254. Let v = -21340216 - p. What is v rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254253*y**3 + 254258*y**3 - 18*y + 18*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 + 7*a + 9. Give o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*q - 30*q + 1378. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -76. Solve -g*x = 2*i - 25, 2*i = 4*i - 3*x + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -24585*c**2 - 219. Let q(b) = 2*b. What is q(x(f))?\nAnswer: -49170*f**2 - 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122973 + 3678*q + 122973)*(3 - 3 - 1)*(2 - 6 + 2).\nAnswer: 7356*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.03 (c) 1\/10 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 4*k - 2 + 10*k**2 + 4*k + k**3. Let p be 1\/(-8) + 142\/(-16). What is the remainder when v(p) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 260 - 194 = g, -2*s + 3*g - 168 = 0. Let h be 2\/7 + s\/21. Let c = h + 7. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a - 745 + 2851 = 0 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 313752 and 3358992?\nAnswer: 57102864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let q = 154 - 154. Let f(w) = -4 - 10*w + 6 + q*w - 2*w. Calculate f(i(d)).\nAnswer: 24*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and 17\/41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58475045.\nAnswer: 5, 683, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h. Let p(w) = -140*w. Determine -6*p(b) + 119*v(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 0.1, -272226?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 10 = -3*v + 4*z, 0 = -5*z + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**3\/11 + 78618*u**2 + 31161914928*u\/11 + 31161050136\/11.\nAnswer: 6*(u + 1)*(u + 72066)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 25 = 3*h. Let p be (-18)\/h + (-9)\/(-3). Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 2147*m + 80142 = 0. Calculate m.\nAnswer: -2109, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 344\/53 - -2285\/636. What is the common denominator of (-18)\/16 - -2*1 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599022 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - -2. Let a = p - 21. Let v = 206.6 - 206.1. What is the closest to -1\/3 in 0.02, v, a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9718520 divided by -4552?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 523708984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**7\/70 - 23*s**6\/30 - 7*s**5\/15 - 8*s**3\/3 + 73*s**2 - 4*s. What is the third derivative of j(l) wrt l?\nAnswer: -72*l - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/44 and 155\/8736.\nAnswer: 96096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 10*b**2 - 23*b + 19. Let w be y(12). Let s = w - 27. Solve s*a = 3*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 888375.\nAnswer: 3553500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*f - 6*p + 450, f - 4*p = 247. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46, 44, 42?\n\"Answer: -2*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2500*s**3 + 16650*s**2 - 31416*s + 11858.\nAnswer: -2*(2*s - 1)*(25*s - 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.167, -19, 5, 4, -0.4?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from fppvfnp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/4))**39)**(-44)*(a\/(a\/(a*a\/(a\/a**(-2\/13))))*a\/a**8)\/(((a**(-2\/15)\/a)\/a*a)\/a**5) assuming a is positive.\nAnswer: a**(250961\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8950652 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 317 + 803. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 1, -4, 5, 34, 89, 176, 301?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4563\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6080)\/15)\/(-8) + 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21222516 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*z**6 - 7*z**3 - 4*z**2 - 189 wrt z.\nAnswer: -3000*z**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -3\/13, -7 in increasing order.\nAnswer: -7, -3, -3\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1*(1 + 1). Let w be u*2*(-2 + 14). Let q = 67 + w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 15*o**2 + 14*o + 11. Let q be d(-6). Suppose 10*j - q = 15*j. Let z be (2 - 0)*-1 - j. Solve u - z*u = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -25. Solve g*s + 27 = 12*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55652519.\nAnswer: 13, 107, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 bigger than -365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 239 + -252 + (1 + -3 - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 194371, 206863, 227683, 256831?\n\"Answer: 4164*b**2 + 190207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, 0.5, -0.0251?\nAnswer: -0.0251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:03 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1909122243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 0*q**3 + q**3)*(3 - 3 + 2).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.71, 25, -3, 0.1, -2\/9, 0 in increasing order.\nAnswer: -3, -0.71, -2\/9, 0, 0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6745*k**2 + 2385*k - 2 wrt k?\nAnswer: -13490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.268192 decades?\nAnswer: 32.18304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 127*y**6\/30 + 98*y**3 - 45*y**2 - 4. Differentiate j(o) wrt o.\nAnswer: 1524*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243558 to 6 decimal places.\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4677 and 21826.\nAnswer: 65478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32987956312 from 13.3.\nAnswer: -32987956298.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -54612?\nAnswer: -54621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, v: 1, f: 3, k: 2, j: 1, t: 5}. Give prob of sequence kvt.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -60*j + 62*j. Suppose 4*x - 2*o - 4 = 2*x, 3*x - 5*o = 2. Let g(r) = -r - x*r + 6*r + 5. Determine g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 32. Let s = 32\/5 - g. Suppose 0 - 2\/5*w**5 + 0*w - 2\/5*w**2 + 2\/5*w**3 + s*w**4 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40312312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82558704 is divided by 815?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - k + 391 = 0, 75 - 4 = -m + 2*k. Let x = m - -421. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 + -481.5. Which is the second smallest value? (a) -6\/7 (b) 3 (c) 3\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38 + -0.02. Let h = -3.5 - -3. Let o be -1*-5*(-1 + 0). Which is the third smallest value? (a) s (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200360863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4) + 9 - (1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/692 and -53\/3806.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303339?\nAnswer: 3, 101113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 91*b - 4466 = 0, 0 = 190*h - 191*h - 4*b + 195 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2368874?\nAnswer: 2368874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, g: 1, x: 2, d: 1, b: 1}. What is prob of sequence xxm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17012.\nAnswer: 2, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -105, -152, -197?\n\"Answer: o**2 - 52*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h = -54 - 45 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 q when three letters picked without replacement from {i: 4, k: 2, q: 7}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -5*d - 2*o, -19*o - 8 = -17*o for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 times -94581?\nAnswer: 17686647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = n + 4, -3 = -7*n + 2*n - 3*s. Let g(r) be the first derivative of 0*r + 3 - 1\/3*r**3 + n*r**2. Let p(v) = 4*v**2. Give p(g(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18 - 16*q**2 - 548*q + q**3 + 1 + 569*q. Is a(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-3*v - 5 + 5)*(8 + 3*v**2 - 8).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 22*s + 45)*(3 - 16 + 554*s - 556*s).\nAnswer: -44*s**2 - 286*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17*l - 90. Let x be b(-6). What is the highest common factor of 2382 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/5, -37, -4\/9 in ascending order.\nAnswer: -37, -4\/9, -0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1337437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + (2 - -2) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 - -257. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, a: 1, o: 1, p: 2, v: 4}. What is prob of sequence pa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/9 + 1\/((-2)\/2). Put k, -29, 8 in ascending order.\nAnswer: -29, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/19)*y*y\/(y\/(y**(-2\/7)*y))*y)\/(((y\/y**0)\/y)\/y**(-1\/11)))**(1\/15) assuming y is positive.\nAnswer: y**(6841\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 120.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667683 + 952317 = p. Round p to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 17*v + 192 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 42. Suppose 3*p = 4*j - 17, -4*p - o = -6*j + 2*j. Let t be (j\/(-6))\/(1\/3). Sort t, 0, -3, -1 in decreasing order.\nAnswer: 0, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.038 and -311?\nAnswer: 310.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*y - f, -3*y - 5*f = -0*y + 28. Let a be 9*((-2)\/y + 0). Suppose -a*w + 3*z = 2*w - 173, -4 = -z. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwekwwwekkeewww. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**2 + 4. Let p(a) = -17*a**2. Calculate z(p(c)).\nAnswer: 170*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 2257?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpo when three letters picked without replacement from toootporoxot?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 4*b**2 - 5 - b**2 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) + (-13)\/(-11). Let f be h - (0 + 0 - 2). Suppose -2*c - 4*y = -3*c + 15, -63 = -3*c + f*y. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 396 = -3*x, 4*x + 2*y - 508 = 6*y. Suppose -z + x = 4*z. Let q = 100 + -53. Calculate the remainder when q is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 8, 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051941985 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2921 divided by -50.\nAnswer: 2921\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**3\/6 - c**2 + 4*c. Suppose -4*v = a - 14, -34*v + 24 = 5*a - 37*v. Determine w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 25, r + x - 112 = 373. Suppose v = 2*v + 3*a - 246, 0 = 2*v + 5*a - r. What is the highest common factor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 2371098*p - 244191267.\nAnswer: -3*(p - 790263)*(p - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:31 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 3. Let s be z(-6). Suppose 3*c + 0*c = 3. Is -7*c*(s + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1685, -4665, -8903, -14399, -21153, -29165, -38435?\n\"Answer: -629*s**2 - 1093*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1068)\/(-801))\/(8\/(-138))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-690)*(-3450)\/(-3100)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/21)\/((-2)\/14). Let v = 36 + y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7175 times 93.6\nAnswer: -671580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016627 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:58 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194500 rounded to the nearest 1000?\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g - 3. Let r(f) = 3*f**2 - 4*f - 8. Let t(k) = 17*n(k) - 6*r(k). Suppose -5*p - 12 + 30 = p. Determine t(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 3*d + 0 + 1\/12*d**4 - d**2 - 1\/6*d**3. What is the units digit of t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/24 - 2*r**3\/3 - r**2\/2 + r. Let c(q) be the first derivative of l(q). Suppose 9 = 7*g + 37. What is c(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733350 (base 10) in base 11?\nAnswer: 460a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**3 - 13*p**3 - 9*p**3 - 6*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -61343 * 6\nAnswer: -368058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-4)\/120)\/((-65)\/(-10))*6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2303, -3\/16, -1\/8, -18\/41 in ascending order.\nAnswer: -2303, -18\/41, -3\/16, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37182 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2 + 0 + 6. Suppose 5*c = 2*m + 33, z*c = 2*c + 5*m + 30. Is (-17)\/((0 - -1)*(c - 6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from kkkivvdkwd.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**2 - r + 0*r**4 + 0*r**3 + 1 + 1\/20*r**5. Let f(x) be the first derivative of i(x). What is the derivative of f(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1. Let k = -5 - -10. Suppose j + j + 13 = k*h, -5*j - 25 = -5*h. Let i(z) = z + 3*z - h - 4 - 2*z. Determine -i(m) + 6*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-723)\/(-42))\/(7\/56). Let z = u + -138. Let w(a) = -a**2 + 10*a - 2. Let n be w(10). What is the closest to z in n, 8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*y - 14 = -10*y, -4*z + 3*y + 38 = 0. Calculate the greatest common factor of z and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + c - 1 = 0, -11 = p - 4278*c + 4283*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044828 rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 83*p + 33. Let o be d(17). Put 30, o, 5, -2 in ascending order.\nAnswer: -2, o, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1.5, -1\/2, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 46*f - 332 = -45*f. Let v(u) = -u**3 + 5*u**2 - 10*u + 21. What is v(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16452030.\nAnswer: 2, 3, 5, 7, 157, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18 - (-34)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 61 in descending order.\nAnswer: 61, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35873, -143526, -322949, -574142, -897105, -1291838?\n\"Answer: -35885*z**2 + 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(35)\/sqrt(7))**2)*-5 + 4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 80.08885km?\nAnswer: 80088850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26212 (base 10) to base 9.\nAnswer: -38854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 3*h - h + (-5 + 3 - 2)*(-1 + 1 + h) + 2*h + 18 - 24 - 3*h)*(-2 + 5 - 1)*(55 - 4 - 3) in the form b + n*h and give b.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = 15. Let z = 0.3865 - 162.3865. Put 3\/5, z, m in decreasing order.\nAnswer: 3\/5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -115*t. Let o(j) = -309*j. Give o(a(b)).\nAnswer: 35535*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 + -4?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*v - 6, b + 11 = -3*v + 3. Let o(i) = i**2 + 11*i + 4. Let s be o(b). Solve -j + 10 = s*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7495.\nAnswer: 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134\/1701*(-45)\/(-12)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**4\/16 + 11. Factor g(s).\nAnswer: s**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 307360 - -1?\nAnswer: 307361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5157616 and 384?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -1 in decreasing order.\nAnswer: 3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74557513?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*b + 139*b + 54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 3374*m + 384198. Calculate k(-118).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 3058*y\/5 - 28980.\nAnswer: 2*(y - 46)*(y + 1575)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*t**3 + h*t - 9*h + 3*t**4 + 820*t**3 + 5*t**2 + 103*t - 15 wrt t.\nAnswer: 12*h*t + 36*t**2 + 4920*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -33. Suppose 5*s - 211 = 59. What is the remainder when s is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5, 1, 5\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.9 - -197. Let i = u + 9. Let t = 5 - 10. Which is the closest to i? (a) -0.2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.5 - 19\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832))**2 - ((sqrt(13) + 1 + -3 - sqrt(13))**2 - sqrt(13)).\nAnswer: 49*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 383080181 - 383080198.99999885. Let d = -18 - a. What is d rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1245426070 to the nearest 1000000.\nAnswer: -1245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(2\/25)*f**(-12)*f**14 assuming f is positive.\nAnswer: f**(46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, 2, -7, -3 in descending order.\nAnswer: 57, 3, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l**2 + 797*l - 94 = 0.\nAnswer: -47, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 - 5*k - 3. Let i(c) = 8*c**2 - 4*c - 4. Let u(o) = -6*i(o) + 7*q(o). Is u(14) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869\/268 - -1\/134. Find the common denominator of -38\/9 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9442385 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638 = -15*i + 5907. Which is smaller: i or 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -98*v - 171. Let z be a(5). Let w = z - -663. Solve w*c - 13 + 17 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2. Let a(b) = -9*b**2 - b. Let g = 16 + -9. Let y(h) = g*q(h) + 3*a(h). What is the second derivative of y(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*g**5*l**3 - 2*g**3*l**2 - 3*g**2 - 18*l**3 wrt g.\nAnswer: -660*g**2*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 0*r + 5*r - 9*r**2 - r**3 - 3*r as d*r + k*r**2 + t*r**3 + w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 187180 divided by 2\nAnswer: 93590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10884\/11, 115, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2\/11)))**(3\/46))**(-49) assuming g is positive.\nAnswer: g**(-147\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, k: 1, r: 6}. What is prob of picking 2 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-3*5 + sqrt(3) + -1 + 3 + 1.\nAnswer: -14*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12803588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -197, -297, -397, -497?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 3, s: 2, j: 5, c: 3}. Give prob of picking 1 g, 2 c, and 1 j.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/((-405)\/486)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1387319*u**2*w - 3023145*u*w wrt u?\nAnswer: 2774638*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -1863, -2784, -3705?\nAnswer: -4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Suppose -3*z + 2*z = -2*y - 160, 3*y = -3*z + 507. Let f(s) = -166*s + z*s + 3*s**2. Determine f(o(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*a + 40. Let r be 2\/2 - (1 - 51). Let p = a + r. Solve i - 5*i = -p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1498666)\/(-52))\/((-4)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.26 + 83. Let h = k - 1.74. Sort -55, 2\/5, h in increasing order.\nAnswer: -55, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/57440 and 37\/34464.\nAnswer: 172320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 5*g + 38 = -7, 3*g - 973 = 3*k - 988 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587603 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6265 - -10?\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 842540.3 centuries?\nAnswer: 1011048360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 3*k + 3. Suppose -4*v + 2*v = -16. Suppose g - 3*g = -v. What is the units digit of q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 6*p**2 + 55*p + 318. Calculate j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 434*q**5\/5 + 5*q**4\/6 - 13*q**3\/6 - q - 244. What is the third derivative of z(y) wrt y?\nAnswer: 10416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/2 + 5*h**2\/2 + 17*h + 6. Let u(b) be the first derivative of m(b). Let t be 2\/4 - 22\/4. What is u(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.9? (a) -0.86 (b) -5 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from lzovp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 - s**4\/4 + 7*s**3\/6 + 4*s**2. Let y be w(-5). Let n = y - -22. Solve n = -2*g + 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-66 - (-26606)\/371).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94372*u**2 - 91729600*u + 15552.\nAnswer: 4*(u - 972)*(23593*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - (1491\/(-420))\/((-12)\/25) and 41\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8403100.\nAnswer: 2, 5, 17, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18744 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 - i**4 + 3*i**4 + (3*i**3 - 5*i**3 - 3*i**3)*(-2*i + 1 - 1) - 27*i**4 + 28*i**4 - 3*i**3 + i**3)*(-2*i + 0 + 0).\nAnswer: -20*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -204\/11 and 24958.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 64 = 25. What is the remainder when 135 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(288) + 0 + sqrt(288)*-2)**2 + 4.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42032 or -1421.5?\nAnswer: -1421.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 896 - 198. Suppose -n + 193 = -5*t, 4*n + 4*t = k + 303. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from zzrzrzrzzr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036248 less than 0.01?\nAnswer: -6036247.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + l - 20. Let w be t(4). Let s = -0.052 + 0.152. Which is the closest to 1\/2? (a) 3 (b) w (c) s (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/4))\/(g\/(g**3*g)))\/(g**(-1))**(-2\/39)*(g\/((g\/g**(-3\/2))\/g))\/(g*g\/(g\/(g**1\/g)))*g**(-2\/17)\/((g\/g**6)\/g*g*g) assuming g is positive.\nAnswer: g**(18779\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.69933 to the nearest integer.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 3*h + 3, 21*z - 3*h + 3 = 22*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q - z - 3, 0 = -4*z - 16. Let d = 5 + q. Suppose 0 + 24 = d*t. What is the smallest common multiple of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 77 - 88. Let g be (14 + -10)\/(-2*(-2)\/88). Calculate the greatest common divisor of o and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 154.86, 4, -137, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10698, -42789, -96270, -171141, -267402, -385053?\nAnswer: -524094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8*f*f*f)\/f*f\/(f**(-4\/3)*f))**(9\/4)\/(f**(-4)*f\/f**4)**21 assuming f is positive.\nAnswer: f**(345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4\/17)\/c)\/c*c)\/(c**(-32)*c))**43 assuming c is positive.\nAnswer: c**(22489\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-32)\/4))\/((-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)*-1*-5 - sqrt(306))\/((sqrt(294) - (sqrt(294) - (sqrt(294) + 1*sqrt(294) + sqrt(294)))) + sqrt(294)))\/(-6*sqrt(3)*-2*-5*-1).\nAnswer: sqrt(17)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2688)\/9408 + (1 - 388\/112)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/(-24)*(-39)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*n - 1 + 20, -a + 1 = 0. Let o be (1 - 1)*3\/(-6). Suppose o = -0*c - 4*c + 12. What is the greatest common factor of n and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 0.06?\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119, 92, 73, 62, 59, 64, 77?\n\"Answer: 4*s**2 - 39*s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 0, 3, -20 in descending order.\nAnswer: 3, 0, -2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31377, 62829, 94363, 125985, 157701, 189517, 221439, 253473?\nAnswer: 285625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.18034156 to two decimal places.\nAnswer: -22.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12964243, 12964208, 12964143, 12964042, 12963899, 12963708?\n\"Answer: -g**3 - 9*g**2 - g + 12964254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 + 2*m - 1. Let g(q) = -5*q**2 + 2*q - 3. Calculate -4*g(s) + 3*t(s).\nAnswer: 8*s**2 - 2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48091.\nAnswer: 48091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(-340)\/6. Suppose u = 5*y - c, 2*y - 12 = -4*c + 22. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (-68)\/374 + 23\/66 - (-5933)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -91\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18678 - -18560.95. Round t to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333449687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**5 + 15*p**4 - 12*p**3 - 6*p**2 - 6*p - 6. Let x(h) = -2*h**5 - 14*h**4 + 11*h**3 + 5*h**2 + 5*h + 5. Let c(d) = -5*n(d) - 6*x(d). Factor c(l).\nAnswer: -3*l**3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567765 (base 9) in base 5?\nAnswer: 324400342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 34*o. Let j(w) = 3*w**2 + 4. Let c(p) = -1. Let s(u) = -4*c(u) - j(u). Give z(s(v)).\nAnswer: -102*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5646 divided by 3.\nAnswer: -1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/(-3))\/(52\/(-39)). Let j = -4759 + 4756. Which is the nearest to -4? (a) 3\/4 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 3*y**2. Let q be r(-2). Solve -q*d + 12 = 4*n - 4, 3 = 3*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6132 - 6136.157. Round u to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409012.\nAnswer: 2, 102253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 + -1.98. Let a = 5.3 - f. Let p = a - 4. What is the third smallest value in p, 2\/9, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 177, 929, 1935, 3195, 4709, 6477, 8499?\n\"Answer: 127*r**2 + 371*r - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531951 is divided by 530447?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/3780 + d**7\/945 - d**6\/810 - d**5\/135 + 20*d**3\/3 - 4*d**2 - 5. Let g(w) be the first derivative of y(w). Factor g(k).\nAnswer: 4*k*(k - 1)*(k + 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274789044 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10\/23, -4, -3\/5 in increasing order.\nAnswer: -5, -4, -3\/5, 10\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 1162\nAnswer: -10\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f + 4. Let v(s) = s**3 - 5*s**2 - 6*s + 6. Let m be v(6). Let c = -18 - -5. Let q be 16\/m - c\/39. Determine o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:09 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007093 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 68 - 7 - (-11 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.04. Let l = 0.36 - w. Let x(q) = 8*q + 37. Let j be x(-4). Which is the biggest value? (a) -3 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2575*p + 217. What is the thousands digit of z(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/41336 and -79\/126612168.\nAnswer: 126612168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -52 - -6) + (47 - 113) + 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 99779.53l in millilitres?\nAnswer: 99779530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-6))\/1 + 1. What is the second smallest value in -4, -1, 2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c - 30 = 0. Suppose 3*x - 636 + 0 = 0. Suppose 0*s + x = 4*s. What is the remainder when s is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2171056 or 2171054?\nAnswer: 2171054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(sqrt(17) - (-1 + sqrt(17)))*5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 6*o + 4. Let t(d) = -d**2 - d. Let v(f) = 2*t(f) + u(f). Let g be v(-2). Is -1\/6 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from vvzzfvvvvfvbvb.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose 5*k = 5*x + 10, -5 = -3*k - 2*x + 11. Let i(f) = s*f + f - k*f. Let m(o) = 44*o. What is m(i(w))?\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -55*p + 19. Suppose 3 = -2*c - 3. Let f be o(c). Suppose f = 4*l - 416. Calculate the greatest common divisor of l and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 3:38 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let d = -43 - -33. Let y = a - d. Let j(c) = 2*c - 3. Let f(b) = 4*b - 7. Calculate y*j(t) - 4*f(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 3)*(388*i - 320*i + 151*i) as q*i + y and give q.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 - 4) - 10\/14. Let h = 0 + 1. Let y = 135 + -135. Which is the nearest to h? (a) i (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, 0.3, -1\/5, -1\/8, -0.9.\nAnswer: -0.9, -1\/5, -1\/8, 0.3, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i. Let s(u) = -u - 9. Let t be s(-7). Calculate the smallest common multiple of 18 and g(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/9 - 5056*b**3\/9 - 119848*b**2\/9 + 860896*b\/9 - 400640\/3 = 0. What is b?\nAnswer: -2504, -30, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14aba4 (base 13) to base 12\nAnswer: -206a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 15*x**2 - x - 7. Let o be m(-8). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-426)\/(-10) - (-4 + 72\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265067661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*x = -17, 2*z = -5*x + 70 - 91 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14623 - -4?\nAnswer: 14627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/(-44)*(33 + -29) + 4. Suppose -u = 2*w, -4*w + u = -2*u. Is m at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248 + 247.912. Let n = -0.09042 - b. What is n rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w + 9. Suppose 3*p - 3 = 18. Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 70 = 4. Let h = f - -8. Is h\/(-4)*(3 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/21)*p)\/p)\/p**(-3\/4))\/(p**6*(p*p\/(p**(2\/19)*p)*p*p)\/p) assuming p is positive.\nAnswer: p**(-11251\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232011 (base 6) in base 3?\nAnswer: -12202021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 + 39*n**2 - 57*n + 8. Let h(z) = -4*z**3 - 21*z**2 + 30*z - 4. Determine 6*a(r) + 11*h(r).\nAnswer: -2*r**3 + 3*r**2 - 12*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1217, -4048, -6879, -9710, -12541, -15372?\n\"Answer: -2831*q + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 + 8*m**2 + 40 - 34 + 6*m**2.\nAnswer: -5*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigigkkglkkig. Give prob of sequence ki.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5\/4 - 14845*s**4 - 299488189*s**3\/4 - 13926725907*s**2 - 4534107200*s + 18535720000 = 0.\nAnswer: -9800, -193, -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610137?\nAnswer: 113, 14249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2802 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 730447400 a multiple of 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 13 - 9)*(-5 + 0 + 3)*(4*b + 2*b - 3*b) + 3*b + b - 2*b.\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/11 in -0.1, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-6)*n*n))\/n**9)**37)**43)**(-1\/82) assuming n is positive.\nAnswer: n**(3182\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2\/5, -2\/19, 1, -2\/10301?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 3\/4 (c) -2 (d) -1\/5 (e) -29.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -r + 74, -19 - 21 = -2*u - 2*r. Solve -19*d + u*d = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, -79, -377, -961, -1927, -3371, -5389?\n\"Answer: -16*l**3 + l**2 + l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4782 divided by 368.\nAnswer: -2391\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let a(x) = 1788157*x. What is l(a(r))?\nAnswer: 6395010913298*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 170 = 40*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(2\/99))**(-3\/5)\/(((t**(-1)*t)\/t)**7\/(t**5*t**(-2)\/t)) assuming t is positive.\nAnswer: t**(4459\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuuwwwtowttb. What is prob of sequence bow?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c - 41. Let i(s) = -24*s - 122. Let l(k) = 21*b(k) - 6*i(k). Is 29 a factor of l(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o - 63*o = 147*o + 2640 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100977362*b**4 + 2*b**2 + 16130*b + 12036 wrt b?\nAnswer: 2423456688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 647, -3, 10 in decreasing order.\nAnswer: 647, 10, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 11 + -12 + 7 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 - c**4\/3 - 7*c**3\/6 + 9*c**2. Let l be n(-7). Suppose 2*b - 68 = -l*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54585)\/152838*-2*12\/10*14\/64?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -794, -190, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/3 + i**3\/3 + i**2\/2 - 4*i. Let v be g(2). Solve 0*b - b - 5*h - v = 0, -4*h = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -26 + 11. Sort b, 1, 6, -2 in descending order.\nAnswer: 6, 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9583 - -97.7\nAnswer: 9680.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19264513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.44*0.5.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -18*z. Let i(b) = -169774*b. Determine w(i(m)).\nAnswer: 3055932*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:41 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1167, -0.04, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51606 - -226?\nAnswer: -51380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let k(u) = -u. Let r = 27 + -31. Calculate r*k(q) + 5*b(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 26, 2\/15 in descending order.\nAnswer: 26, 0.4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/90 - t**4\/27 - 44*t**3\/9 - 56*t**2 + 45*t + 1. Factor g(h).\nAnswer: 2*(h - 14)*(h + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 4. What is the highest common divisor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/30 - 7*d**2. Let s(h) be the first derivative of h**2 + 33. Calculate a(s(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -11 + 4 + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 17*y**2 - 8*y - 41. Let p be c(-17). Suppose 836 = 7*i - p. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4 + 592*y**3 - 4640*y**2 + 9216*y = 0?\nAnswer: 0, 4, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 - -4 - (5 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((180\/108)\/((-5)\/2))\/((-10)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1123663 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -78*95\/(-5700)*-30?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2, -a = -11*x + 7*x + 10. Solve 7*r - 6*r - x = -3*m, 4*r - 4*m = 28 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 676*w**2 + 27872*w - 58480.\nAnswer: 4*(w - 2)*(w + 85)*(w + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6859*q**4\/2 + 9386*q**3 + 9405*q**2 + 4114*q + 1331\/2.\nAnswer: (q + 1)*(19*q + 11)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 - 97 = -3*a - 4*m, 3*a = m + 367. Calculate the smallest common multiple of a and 14.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y - 2876 + 3849 = -13952 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 293 + 5d?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 899\/55 + -79\/5. Find h such that -4\/11*h**3 + w*h + 2\/11 + 4\/11*h**2 - 6\/11*h**4 - 2\/11*h**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 4*v - 3*m + 167, -5*m = -v - 5 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:23 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 87.78162 months?\nAnswer: 0.7315135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 6*r**2 + r**2 + (-r - 5*r + 2*r)*(-r + r - r) + 2*r**2 - 6*r**2 - 3*r**2 - 3*r + 3*r - r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 + 350062*t + 4549280. Calculate z(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 371824064 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21 rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -44*f + 6. Suppose -245 = -166*q + 253. Determine j(q).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -669*d - d**2 - 2*d**3 + 1 - 1 + 668*d in the form t*d + o*d**3 + l*d**2 + h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 130?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:39 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (1 - 14 - (153 - 80 - 85))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113279, 112034, 110789, 109544?\n\"Answer: -1245*x + 114524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/3 - 6*s. Let t(o) be the second derivative of -o**3\/3 - o. Calculate f(t(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/66 and -91\/75234?\nAnswer: 827574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22379, -22594, -22951, -23450, -24091, -24874?\nAnswer: -25799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - sqrt(1300)*-2 - sqrt(52))\/(sqrt(24)\/(1*sqrt(6))) + -3 - (-5 + (sqrt(1404)*-2)\/(sqrt(24)\/(sqrt(8) - (sqrt(24)\/sqrt(3) - sqrt(8))))).\nAnswer: 2 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240 or 42957?\nAnswer: 42957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5835 is divided by 82?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2546 and 8978?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - x - 4. Let l(h) = 4*h**2 - h - 7. What is 3*l(f) - 5*s(f)?\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrirrrrrrrrrr. Give prob of picking 4 r.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16) + -3 + (-40)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*i**2 - 2*i + 20*i**2 + 46*i**2 - 9)*(2*i**2 + i**3 - 2*i**2).\nAnswer: 10*i**5 - 2*i**4 - 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2765\/790)\/((-98)\/4)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from nmnnmnmmamna.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -43. Which is the closest to m? (a) 2\/9 (b) -0.06 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249784610 divided by -10?\nAnswer: -24978461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 120.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3535107 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 182 = 70. Let l be 261\/(-189) + 6\/i. Which is the nearest to 0? (a) 4 (b) l (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482.82 * 135.7\nAnswer: 65518.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 2*o + 3*o + (2*o + 0 + 0)*(-2 + 2 - 1))*((0 - 2 + 3)*(0 + 0 + o) + 0 + 0 + o)*(-1 + 1 - 1).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**2 - 27. Let j(z) = z**2 - 2. Give -27*j(q) + 2*y(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*b + 7. Suppose 0 = 9*w - 1 - 17. Suppose -t + g = -1, -w*t + g = -6*t + 4. What is the highest common factor of t and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-377))\/(4\/58)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.5 + -7. Let g = f + -1.04. Round g to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -505 + 485 + (42 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1234143?\nAnswer: 1234202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 20 (b) -2 (c) -3\/122 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 6*y**2 + y - 4. Let q be j(6). Suppose -2*g = 3*s + q*g + 346, 2*g = 4. Let z = 824\/7 + s. Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/4 - 36*v = 0?\nAnswer: -12, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -4\/5387?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 9*p + 323. Calculate the highest common factor of p and 912.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:29 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-54)\/4*(-14)\/(-84))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 7*j - 7. Let i be c(7). Is (i - 12\/(-4))\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5 + 15. Let g(u) = 3*u - 3. Let d be g(q). Solve d*w + 5*n = 2*w + 5, 4*w - 2*n + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577688 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869035.5ms to hours.\nAnswer: 0.24139875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6 + 6*x**3 - 17*x + 3 - 5 - 2*x**2 - 20*x**2. Is w(7) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 503.\nAnswer: -4\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) + 0 + -2))**2*1.\nAnswer: -1000*sqrt(5) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186.801085 rounded to the nearest integer?\nAnswer: -1187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 4*a + 102 = 0. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o - 9*o + 5*o + 12*o.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1133, -2039, -2945, -3851, -4757, -5663?\n\"Answer: -906*t - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071406 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -z + 36, -2*z + 0*z = -2*d - 42. Calculate the lowest common multiple of (4\/(-5))\/(13\/(-195)) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311 (base 16) to base 15.\nAnswer: -29d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*36\/90.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125, -256, -387, -518, -649?\n\"Answer: -131*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 66) + (-23 - (4 + -9))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 0)) + 3 - sqrt(13) - sqrt(78)\/((-2*sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: -sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-139)\/6)\/(90\/(-1080))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 3*c - c)*(-2*c + 2*c + c) + (-5*c - 4 + 4)*(-3*c + 0*c + 4*c) - 1 + c**2 + 1 in the form b*c + m + w*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - z**2 + 3)*(-129511 + 129511 + 588*z**2) + 2*z**4 + 3*z**4 - 2*z**4.\nAnswer: -585*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69961, -70017, -70105, -70225?\nAnswer: -70377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16256cb + -3?\nAnswer: 16256c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24076\/21879)\/((-2)\/3). Let x = c - -70\/33. Factor 0 + 8\/17*j**2 - x*j - 2\/17*j**3.\nAnswer: -2*j*(j - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a (base 16) in base 7?\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 7*h - 1. Let o be g(6). Suppose 238 = o*a - 42. Suppose 0 = 7*y - 11*y + a. Solve 7*b - 3*b - y = 3*i, 2*b = -4*i + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwmemebfbbbebfmm. Give prob of sequence ewb.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaz when three letters picked without replacement from znjjjazjjzz?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 + 176. Let w = 93.0000109 + u. Round w to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6879 * -0.2.\nAnswer: 0.13758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17504 - -17644.52. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:34 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 14*g**4 + 6*g**4 - 15*g**4 - g**3 - 2*g as h + s*g**4 + l*g**3 + m*g + v*g**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0*c - 2*z - 20 = 0, -5*z + 10 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/44 - -2\/11. Let n = -0.4 + 0.3. Let m = n + 0.1. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -738, -739, -748, -771, -814, -883, -984?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -26. Let u(a) be the third derivative of h*a + a**2 + 0 - 1\/3*a**3 + 1\/24*a**4. Differentiate u(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1890, -3773, -5626, -7455, -9266?\nAnswer: -11065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1764127344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 275875, 275878, 275881, 275884, 275887, 275890?\n\"Answer: 3*g + 275872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -c - 82. Is c >= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 13*m**4 + 6*m**2 - 15*m**4 - 1 + 3*m**3 - m**3 as f*m + g*m**4 + z + b*m**3 + t*m**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 126 = -22*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7026, -5499, -26366, -55569, -93102?\nAnswer: -138959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -691101 in increasing order.\nAnswer: -691101, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f. Suppose 2*s - s - 25 = f. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137\/8 + -17. Let d = 7.5 - 9. Let m = -2 - d. Which is the second smallest value? (a) m (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1798, 100, -4 in decreasing order.\nAnswer: 1798, 100, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t**2 + 5*t - 4. Suppose -5*d = -2*u + 21, 0 = 4*u - d + 5*d. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(-3 - -2). Suppose 4 = -o*l + 2*l. Suppose -5*a = -12 + l. Put a, 6, 1, 0 in descending order.\nAnswer: 6, a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 6:02 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + -102. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1333132031313?\nAnswer: -1333132031321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 124 times 6\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -190.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2604314 or -2604321?\nAnswer: -2604314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 2\/5 (b) 0.1 (c) 0.5 (d) 21561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215308661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c\/c**5*c**(-3\/2)\/(c\/(c*c**7)*c))**(-4) assuming c is positive.\nAnswer: c**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s - 1. Let w(o) = o**3 + 18*o**2 + 35*o + 40. Let p be w(-16). Calculate k(p).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3749 + 3751. Let b be (1\/3)\/((-6)\/4). What is the biggest value in 4, u, b, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*g + 2*d**2*t - 2*d*g + 2*d + 80*g*t - 2*g - 2*t with respect to d.\nAnswer: -6*d**2*g + 4*d*t - 2*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*o - 2, 3*o - 7 = -q + 2*o. Let i be (-2)\/(-5) - (-13)\/q. Solve -2*m = 3*l - 1, -i*m - 4*l + 1 = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 6*o - 8. Calculate r(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1741984 and 95\/22.\nAnswer: 19161824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -352584 less than or equal to 0.1052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*j - 277*j**2 - 62*j**2 - 636*j - 157*j**2.\nAnswer: -496*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 2. Let b be t(1). Let g(p) = -p - 4. Let f be g(18). Let l be (-14)\/18 + 1 - f\/(-99). Put -5, b, l in decreasing order.\nAnswer: b, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-6)\/a*a)*a*a)\/a)\/a)\/a**0 assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*l**3 + 1073*l**3 + 1069*l**3 - 3199*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let d(b) be the third derivative of 7*b**5\/20 + 24*b**2. Give d(m(j)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*u**2 - 48*u**2 - 6*u + u - 51*u**2 to the form b*u**2 + m + i*u and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 23327 = 8250. Let u be s\/30 + 2\/6. Let t = u - 1062. Find the common denominator of t and -39\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 560 + 655. Suppose -7*s + c = -297. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 19. Let j(a) = -2*a - 9. Let u(v) = -7*j(v) - 3*l(v). Give u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let a be r(1). What is the third derivative of 0*u**4 + 2*u**a + 3*u**4 - 2*u**4 - 6*u**4 wrt u?\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -14. Suppose g*b - 1678 = -3*y, -7*y + 1006 = 3*b - 5*y. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/8 - 129*p**2\/2 + 5547*p\/2 = 0 for p.\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 3115?\nAnswer: -3115.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 30836670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*m + 45, -3*s - 3 = -4*m + 60. Calculate the least common multiple of 7522 and m.\nAnswer: 67698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 173184496 and 29616?\nAnswer: 519553488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzzhuuukzh. What is prob of sequence uzu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = 3. Let v(w) = -2*w**2 + w + 3*w**2 + 0*w**2 - 5. Is 7 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 272*l - 16350. Determine g(61).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1052772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**9\/3024 - a**8\/336 - 5*a**7\/504 - a**6\/72 - a**4\/12 - 28*a. Let j(m) be the third derivative of s(m). Factor j(h).\nAnswer: -5*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 3 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:44 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**3 + 4*o**2 + 4. Let g(i) be the third derivative of -10*i**2 + 0*i + 1\/2*i**3 + 1\/20*i**6 + 0*i**4 + 1\/20*i**5 + 0. What is -6*g(l) + 5*s(l)?\nAnswer: -l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -28. Suppose i = 3*g - 6, -3*t = -g + 4*g - 12. Is t\/(-8) - (-4090)\/40 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - ((8 - (-2 - -4)) + -4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6339 or 944700\/149?\nAnswer: 944700\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2904 - 467. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5751465310 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 707004*a**3*l**3 + 3*a**3*l**2 + 87245*a**3*l + l**3 wrt l.\nAnswer: 4242024*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 16) to base 6.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + g - 30 = -5*r, 12 = -4*g. What is the tens digit of r\/(-2)*32\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673939516 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -85*y + 76*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6506.6 to the nearest ten.\nAnswer: -6510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 559834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19571230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - ((-24)\/4)\/(-2))*-9. Suppose 37 = -4*n + a. Let x be (2 - 3)\/((16\/28)\/4). Is n >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:25 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {h: 4, o: 3, y: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6469*n - 8508 = 17368 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(9\/3)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -37*n**5\/3 - 147409*n**4 - 587285424*n**3 - 779946787584*n**2 - 63235067904*n = 0?\nAnswer: -3984, -3\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 + y - 1. Let i(t) = -305*t**4 + 2*t**3 + 4*t**2 + 138*t + 2. Let a(d) = i(d) + 2*r(d). What is the second derivative of a(l) wrt l?\nAnswer: -3660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1845 at most -1641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-46)*-2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 - b + 2. Let d be j(-2). Let o = 8 + -5. Suppose 32 = d*k - s + 9, 21 = 3*k + o*s. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a + 9. Let z(q) = -29*q + 15. Let c(y) = -10*y + 5. Let l(i) = -17*c(i) + 6*z(i). Suppose -32*b - 29*b = -75*b - 84. What is b*n(k) + 11*l(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 44210?\nAnswer: -44204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 2*i = -57*i + 360 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**2 + 2*f + 9*f + 3*f**2 + 5*f**2 to h*f**2 + p + w*f and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 297, 716, 1333, 2160, 3209, 4492?\n\"Answer: 2*c**3 + 81*c**2 - 24*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3771073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/20 + -3 + -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -28, -27, -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/11 - 408652*z**2\/11 - 1897612710*z + 83501497800\/11 = 0. What is z?\nAnswer: -102165, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:51 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 19*s**2 + 26 - 51 - 17*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -119*l + 3922. Give x(33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 165 = -180. Let x = j + 157. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857611 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*d + 397*d = 12. Let t be (-1 + -1)\/d + (-2372)\/(-24). Calculate the highest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*t**2 + t**3 + 0*t**2 - 6*t**2 - 2*t as y*t + z*t**3 + n*t**2 + v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-238 + -60 + 178)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/2 - 828*q**3 + 58440*q**2 + 247104*q = 0.\nAnswer: -4, 0, 88, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -4*w**6\/5 - w**5\/10 + w**4\/12 + 7*w**2\/2 - 9*w. What is the third derivative of y(j) wrt j?\nAnswer: -576*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20403 - 3*m**3 + 9347 + 9797 in the form r + n*m + y*m**2 + s*m**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*z, -12*h + 30*z = 33*z - 462. Calculate the remainder when 3312 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 16) in base 2?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11494, -45819, -102978, -182971, -285798, -411459?\n\"Answer: -11417*h**2 - 74*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1994, -1993, -1992, -1991?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m - m**3 + (0*m - m**3 + 0*m)*(1 - 2 + 5).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2376\/27 - (-1 + 3). What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -18 - 30. Let o = -20 + n. Let m = 95 - o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600)*1*-6 + sqrt(1600) + 6*sqrt(1600)*2)\/(-3*sqrt(320)*-2 - 1*sqrt(320)*5).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 12*y**2 - 8*y - 15. What is the hundreds digit of d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4966*j - 9 = -4965*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 277*g.\nAnswer: 277*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 8:36 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 150311973 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402 - -410. Suppose j - 6*p - 14 = -m*p, -p + 25 = 5*j. Solve 3 = -j*g + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w - 2. Let j be i(2). Let f = j - -16. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*z = -5*z - 27195, 9051 = b + 3*z. Round b to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.2 + -0.5632?\nAnswer: 14.6368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1001011?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 22*f - 88. Let o be h(16). Solve 20*n + o*n - 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 + 7*r - 7*r)*(-4*r + 7*r + 2*r).\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14 + 7 - h**2 + 9. Let s be d(2). Let q be -14*s*6\/21. Solve -2*p = 4*x - q, -3*p = -2*p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24178 and 158324138?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 7184 = 33*j. Suppose -11*t + 475 = -j. Calculate the highest common divisor of 105 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 14*r**2 + 3*r - 40. Let c be h(14). Suppose -c*o - 4*a + 630 = -0*a, 2*o - 636 = -a. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + ((-16)\/20)\/((-2)\/10). Suppose 8*z + a*t - 80 = 3*z, 72 = 5*z - 3*t. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v - 520. Let f be n(-50). Is f at least -871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 12, k: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcp when four letters picked without replacement from prrppppppcprcplr?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(0*o + 2*o + o)*(3*o - o - 4*o) to the form b + u*o**2 + d*o and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238556*18.\nAnswer: 4294008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 815815?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 12) to base 6\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2665784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293160671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7447, 15528, 23609?\nAnswer: 31690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (2\/((40*(-14)\/(-315))\/(-2)))\/(1\/36)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*((378\/2156)\/(-27))\/(2\/(-120)).\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665 times -116?\nAnswer: -541140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -46. Let s = -13 + 7. Calculate the common denominator of n and (s\/(-5) - 1)*47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((3630\/(-352))\/(-55))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*y + 7, k - y + 2 + 1 = 0. Let q be 2*1\/5*k. Let a = 290 + -285. What is the nearest to -1 in a, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17630809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from truuuyyyyyctyctcytt.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13670422 to the power of 1\/2, to the nearest integer?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 7*q - 7. Let j be n(-4). Let r be (46\/(-10) - j)\/((-2)\/(-10)). Is ((-3)\/4)\/(r\/(934 + -6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -1715\nAnswer: -121\/1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -564472\/65 + 8684. Is f less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34370 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72705, -72258, -71513, -70470, -69129, -67490, -65553?\n\"Answer: 149*a**2 - 72854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12011, -11528, -10239, -7742, -3635?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/2223 - 166805\/17784. Let x be (-3 - -1) + (-7957)\/8. Let n = -1000 - x. Calculate the common denominator of n and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3347808 times -0.3?\nAnswer: -1004342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1302.98 and 0.337.\nAnswer: 1303.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(1 + 9 - 1) + (2 + j - 2)*((-5 + 1 + 0)*(1 + 5 - 4) - 1 + 2 + 1 + (-2 + 1 + 0)*(2 - 3 - 1) - 4 + 3 + 0).\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*t**2 + 3)*(-1 + t + 1) - 3*t**3 + 2*t**3 + 0*t**3 + (-3 + 3*t**2 + 3)*(2*t - 1 + 1).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 0, -1, 3, -22 in decreasing order.\nAnswer: 157, 3, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18*((-24)\/(-120) - (-4)\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*(-2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*p - 3*n + 627, 309 = 2*p - 5*n. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*m = 7, 0*m + 8 = -y - 2*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2090 + 4835. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12092597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-6 - -16))*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26154 rounded to three decimal places?\nAnswer: -0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10647\/4914 - (-2)\/(-6)*2)\/((-12)\/(-376)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10618?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93725?\nAnswer: 5, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.08 (c) 1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15691, -21918, -28145, -34372?\n\"Answer: -6227*u - 9464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4 - 2 + 4 - 14*y + y**2. Let j be x(14). Which is the smallest value? (a) j (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 1. Suppose 2*f + 0*f = 30. Calculate the remainder when f is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 4. Let t be i(-6). Let m(g) = -2*g**t + 14*g**2 + 0 + 0. Let w(r) = 2*r. Give w(m(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 370053907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -26*j - 11*j + 40 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15174986 to the power of 1\/2, to the nearest integer?\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141581.3 - -144467.043. Let i = s + -2887. What is i rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 10 + 5. Let y be 1 - 0 - (r + 1). Which is smaller: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 763 and 14279?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 502.1651 and 0.2.\nAnswer: 502.3651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:00 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7545*s = 7556*s - 106 - 92 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:58 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 46. Let n(p) = 2 - 8 + 4*p - 38 - 2. Let t(z) = 6*n(z) + 7*s(z). Let u be t(-17). Which is the closest to -0.1? (a) 0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -18. Suppose -o*q = t + q + 13, 5*t = -q + 5. Suppose t*w - 6*w = -64800. Round w to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100255 - 10?\nAnswer: 100245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626\/7825 - (-329)\/525*-3.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 206*u**2 + 656*u - 2168. Calculate l(106).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11399 - -11402. Sort -1\/18, -1, x, 2\/9, 1\/6 in decreasing order.\nAnswer: x, 2\/9, 1\/6, -1\/18, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 2 + (-155)\/15 + 3. What is the second smallest value in p, 11\/5, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.962 + 8363.838. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9273 take away 48013?\nAnswer: -38740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmmdddddddd. What is prob of picking 4 d?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22835360 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4\/7 - 78*w**3\/7 - 171*w**2\/7 + 78*w\/7 + 24 = 0. Calculate w.\nAnswer: -2, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6526 (base 12) to base 5.\nAnswer: -323433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(35)\/(sqrt(84)\/(sqrt(588) + sqrt(12))).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-1)*18\/(-8). Let g be (-564)\/(-60) + (-2)\/5. What is the greatest common divisor of s and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17*n + 0 + 0.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -77*s**6\/120 + 7*s**5\/12 - 35*s**3\/6 - 27*s**2. Let x(g) = -13*g**3 + 6*g**2 - 6. Determine 6*f(c) - 35*x(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 17043296*z + 18154621158976.\nAnswer: 4*(z - 2130412)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 776, 6270, 21186, 50234, 98124, 169566, 269270?\nAnswer: 401946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 4. Suppose -12*m + 99 = -9. What is l(m)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983520486.\nAnswer: 2, 3, 13, 199, 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 791251 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 4, 1\/7, -5, 0.7, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/282271 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -8, -14, -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymayayyrr. What is prob of sequence arr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1460?\nAnswer: -1459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = 12. Sort 1, -5, p in decreasing order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27877222 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, -139, -437, -857?\n\"Answer: -61*u**2 + 7*u + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 988136602 and 1228?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70315 divided by -49?\nAnswer: -1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 18*f**2 - 8*f - 1. Let b be n(9). Let h = b + 122. Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 237 = -g, 0 = 4*g - 2*r - 2*r - 988. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*t**3*v - 48*t**3 + 18*t*v - 8 wrt v?\nAnswer: -15*t**3 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015709995 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -c - 21. Let d be 1\/(2*(-1)\/c). Put 0, 4, d, 1 in descending order.\nAnswer: d, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/128787197 and 75\/427966.\nAnswer: 1803020758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**3 + 0*b**3 + 0*b**3 + b + b**3 - b + (-b**3 + b - b)*(-2 + 5 - 5) in the form s + q*b + g*b**2 + n*b**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/4, 0.2, 1\/2 in increasing order.\nAnswer: 0, 0.2, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2661\/(-8870)*(-1)\/(3\/2). Let g be (1*3\/(-9))\/(4\/24). What is the nearest to g in 0.4, 0.03, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10 + 28. Let r = 19 - x. Suppose -2\/7*o**5 - 2\/7*o**4 + 2\/7*o**2 + 2\/7*o**3 + r*o + 0 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57191*r**2 - 57196*r**2 - 57185*r**2 - 33*r**3 + 171572*r**2.\nAnswer: -33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -11151.\nAnswer: -11150.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 531710033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 74.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*l**2 + 7*l**3 - 2*l**3 + 4*l**3 + 6*l**3 - 10*l**3 to the form g*l**2 + i*l + o + a*l**3 and give g.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -64. Let s be f\/(-39) - 189\/(-39). Suppose s*k + 5*x = 45, -4*x = 5*k - 0*x - 42. Calculate the lowest common multiple of 4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 9 + -11 + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/11076 and 125\/205764.\nAnswer: 14609244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, y: 12, c: 1, p: 1}. What is prob of picking 2 y, 1 p, and 1 i?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 2. Let a be n(-2). Suppose a = -s + 3. Suppose s*c - 23 = 1. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*d = -226*d + 63. Does 4 divide (d - (-42)\/(-18))*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 17 + -8 + -10 - -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 4456*l**2 + 31094*l = 0. Calculate l.\nAnswer: 0, 7, 2221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 + 9*x + 11. Let q be i(5). Suppose 12 = q*y - 3*y. Calculate the remainder when 12 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m - 61*m - 21*m + 140*m - 90*m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491812, 491828, 491840, 491848, 491852, 491852?\nAnswer: 491848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*y**2 + y - 4*y - 18*y**2 + 6*y - 22*y to the form i*y + t + p*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -35. Suppose -4*q = l - 31 - 60, 0 = -b*q - 3*l + 66. Is q > 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11170 and 35\/17872.\nAnswer: 89360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 294, 5\/2, 0.39, -2 in ascending order.\nAnswer: -2, -0.3, 0.3, 0.39, 5\/2, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17c (base 16) to base 8\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:16 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 30*h**5\/7 + 56*h**4 + 22*h**3\/7 - 52*h**2\/7 = 0.\nAnswer: -13, -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((4 - 2) + -4) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136 divided by 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/343*3710\/530.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727300 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2 + 471219*l - 3212399 wrt l?\nAnswer: 4*l + 471219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p + 26*p - 17*p + 2 to g + x*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*p + 4*r + 312, -2*p + 5*r + 37 = 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/332 and -65\/376?\nAnswer: 31208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 51260?\nAnswer: -51265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226276?\nAnswer: 2, 56569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/32 - -17\/160. Suppose a*l**3 - 1\/5*l + 1\/5 - 1\/5*l**2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/924)\/(1\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h - 3234 + 59251. Let a = -2766 + h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j. Let u(g) = -2*g - 21631. What is k(u(i))?\nAnswer: 8*i + 86524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2754 divided by 12.\nAnswer: 459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2 - 7*-1. Suppose -4*z = f*i - 5288, -2*z - 4*i = -1597 - 1041. Let c = z - 538. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.0165, -2\/11, 3\/32 in decreasing order.\nAnswer: 3\/32, 0.0165, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 2*t + 14. Let b(z) = -z**2 + z - 1. Suppose 4*x - 4*d = 4, 1 = 2*x + 4*d - 1. Let y(p) = x*w(p) - 2*b(p). What is the tens digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + 2.9. Sort y, -5, 0.4.\nAnswer: -5, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = -12 + 342. Suppose 0 = y*z - 15*z - 14. Solve -2*c - 2 = -2*a, -z*a - 2*a + c - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3995 or -23\/8?\nAnswer: -3995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (14 - 6) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3211 + -3210. Solve -f + 8 = -2*q, -5*f = -2*q - 23 - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*c - 0*c - 5, c + 5*d + 30 = 0. Suppose r - 4*r + 15 = 0. Suppose y = -3*k - 7, -r*k + 4*k = -4*y - 15. Put c, 3, k in decreasing order.\nAnswer: 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.208 + -227.208. Let a = 226.5 + s. Let y = -4\/33 + -6\/11. Sort y, 0, a.\nAnswer: y, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)*8*(-1)\/(-4). Suppose 0 = -4*s - 2*y + 950, -x*y = 3*s - 16 - 696. Suppose -5*h + s = -1032. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 38 - 3*v**5 + (-1 + 3*v + 1)*((-4*v**3 + 0*v**3 + 3*v**3)*(-v - 2*v + 5*v) + (0 + v**2 + 0)*(3*v**2 + 3*v**2 + 0*v**2)).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -453.44 (b) -7\/4 (c) -0.1 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:22 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a - 10 = 0. Let v(p) = -a*p - 10*p**2 - 4 + p**3 - 3*p - 5*p. List the prime factors of v(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 71, 15, 5 in increasing order.\nAnswer: 5, 13, 15, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*x - x + 2*m, 5*x - 73 = -4*m. Suppose -4*g - 4*d = 44, 0 = -3*g - g - 5*d - 45. Let s = g + x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271 (base 8) in base 15?\nAnswer: c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1530*r - 3. Let c(k) = -321*k + 3. Determine z(c(s)).\nAnswer: 491130*s - 4593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21704842663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 10) to base 2\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0*a**4 - 7\/20*a**5 + 0*a**2 + 0 - 11\/6*a**3 - 2*a. Find the second derivative of p(q) wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 + 13*n + 10. Suppose -25 = 32*d - 27*d. What is the tens digit of g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -67. Which is the closest to 2? (a) 3 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 54, 146, 286, 480, 734?\n\"Answer: d**3 + 15*d**2 - 2*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 3. Calculate the smallest common multiple of o(-3) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:44 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 - 2*v - 4. Let i be g(-4). What is the greatest common divisor of i and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4136508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 72*n - 41*n + 22. What is the smallest common multiple of n and 2224?\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 19 = -292991*i + 293091*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1398, 2416, 3430, 4440, 5446?\n\"Answer: -2*j**2 + 1024*j + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/1691 - -1709\/3382. Do 100\/7 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 13. Let k be o(-9). Let u = 1 - k. Suppose 2*f - 1 = 5. Solve -3*c - j + f*j = 4, u*j - 10 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 7, r: 5, y: 2}. Give prob of sequence fyy.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127.2318 + -1.2318. What is the fourth biggest value in -0.4, z, 0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -73, -96, -127, -172, -237, -328, -451?\n\"Answer: -s**3 + 5*s**2 - 29*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21678, -22720, -24456, -26886?\n\"Answer: -347*j**2 - j - 21330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 10*o - 20*o. What is the highest common factor of o and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -70, -90, -90, -64, -6, 90, 230?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7935)\/(-495) - 16)\/(1\/(-3))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 8261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 16. Suppose f = 4*f. Let z = f + c. Calculate the remainder when 11 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from yylflflllfiry?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.04 (c) 0.2569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((26\/3952)\/(1\/(-3))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 7\/2*v**2 + 4\/3*v**3 + 1\/6*v**4 + 25 - 2*v. Let f be q(-3). Solve 13*n - 12*n + f = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 = 2*k - 8, -5*x - 25 = -2*k. Let h be (-1)\/(1 + x\/4). Solve h*r - 12 = q + 4, -r + 4 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*m + g**2*p - 169*g**2 + 2*g*m*p + 2319*m*p wrt g?\nAnswer: 4*g*m + 2*g*p - 338*g + 2*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 799 = 46*p. Which is the third biggest value? (a) -0.1 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 5, 46, 139, 302, 553, 910, 1391?\n\"Answer: 3*z**3 - z**2 - 11*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24761 >= 25799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -107. Let v be (-2616)\/x - 0\/(-1). Let d = -106 - v. Solve -d*g - 7 + 17 = n, -2*g - 16 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {r: 3, m: 10, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -253*c - 55. Let m(u) = -14*u - 3. Suppose 0 = 26*w - 24*w - 10, -5*t = -3*w - 260. Determine t*m(y) - 3*b(y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (19300\/8)\/5*2. Suppose 5*z - j = -263 + u, z = -j + 138. Suppose 5*h + 0*h = z. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2872867*s**2 - 4506085*s?\nAnswer: -5745734","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2485*j**3 - 54*j - 15. Let l(d) = -1243*d**3 - 30*d - 8. Determine 9*l(p) - 5*x(p).\nAnswer: 1238*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43678499339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -t. Suppose t*g - 5*j = 25, 6*j = -4*g + j - 7. Sort 0, 3, g in descending order.\nAnswer: 3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -56*b**3 - 5*b**2 - 2*b - 8. Let u(c) = 56*c**3 + 6*c**2 + 2*c + 9. Let m(g) = -5*u(g) - 6*x(g). Find the second derivative of m(i) wrt i.\nAnswer: 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.824 - 2.624. Round s to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let f be x(6). Let g be 9\/1*6\/f. Let v = 15 - g. Let a(l) = -l**2 + 4*l + 6. What is a(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*m**4 - 13*m**3 - 142*m**2 - 33*m + 31774269 wrt m?\nAnswer: 76*m**3 - 39*m**2 - 284*m - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -37*m**3 - m**2 + 7*m - 5. Let f be h(2). Let v = 391 + f. What is the highest common divisor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 + 8 = -3*i, -17 = -4*c - 3*i. Suppose -c*k + 8 = 16. Let w(n) = -2*n**3 - 6*n**2 + 3. What are the prime factors of w(k)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51168, -102149, -153130, -204111, -255092?\nAnswer: -306073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjj. What is prob of picking 1 x and 2 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1686\/(-84) + (-43)\/(-602) - -30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 - 139 + 6*b + 74)*(b**3 - b**3 - 2*b**3) as k*b + t*b**4 + n*b**3 + r*b**2 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 6*b + 4*b)*(0*b + b - 2*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.049\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 130953522 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -150021.886 take away -217?\nAnswer: -149804.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 25.0284.\nAnswer: 25.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1420 (base 6) to base 10.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2\/2 - 3*y + 6. Let c(q) = -3*q + 5. Let a be c(5). Let l = a + 8. What is f(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 22c?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4385*s**4 + 14 - 3 + 4384*s**4 + 5*s**3 + 5*s - s**3 as h*s**3 + c*s + u*s**4 + l*s**2 + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013896841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = -n, 2*n - 5*p = -23 + 28 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-1 - 3) + 27. Calculate the greatest common factor of d and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*m + 5 = 0, -m = -5 + 4. Suppose 5*k = -4*p - y, -8 = 2*p - 0*p. Suppose -4*j = -3*s - k*j + 22, 2*s + 4*j = -4. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2557506.\nAnswer: 2, 3, 7, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210900?\nAnswer: 2, 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 5 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1 - 2) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -332948, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4004130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 578 + -243. Let m(o) = -115*o. Let x be m(2). Let n = l + x. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a + 5635 = -12*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 626 = -5*q, -2 + 8 = -3*d. Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/63 - 2*v**6\/15 - 4*v**5\/15 + 8*v**4\/9 + 16*v**3\/3 + 32*v**2\/3 - v + 14. Determine x, given that t(x) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**5\/7 + 10*s**4\/7 - 20*s**3\/7 - 40*s**2\/7 - 16*s\/7 = 0. Calculate s.\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1908, 5\/2, -0.02, -0.06, 2 in descending order.\nAnswer: 5\/2, 2, -0.02, -0.06, -1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(602\/(-167270)). Let l = t + 112. Which is the closest to 6? (a) l (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -4.07. Let i = 1.6015 - -8.3985. What is the nearest to i in -2\/3, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**3 + 44*z**2 - 2*z**4 + 2*z + 2*z**3 - 1 - 14*z**3 + 34*z**3 as w*z**4 + d*z**3 + o*z + c + j*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2)\/2 + -108*(-34)\/18360\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 564, 71, 2, -245, -2 in descending order.\nAnswer: 564, 71, 2, -2, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose 0 = u*p - 2*p - 66. Is 16 a factor of 1\/6 - (-1045)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/32)\/((-3)\/(-8)). Let t(p) be the third derivative of -1\/40*p**6 + 0*p + 1\/60*p**5 + 0 + r*p**3 - p**2 + 1\/3*p**4. Find h, given that t(h) = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 408 = 3*c + 33, 15 = -5*g. Suppose -t - 343 = -5*b, 0 = -3*b + b - 3*t + c. Suppose -b = -3*q + 4. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 71987205?\nAnswer: -2\/23995735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = m + 74, q + 5*m = -2*q + 44. Let w = 5 - q. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 1 (b) 4 (c) 363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8873779.61 to the nearest one thousand.\nAnswer: 8874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/7)\/p)\/p**(1\/11) assuming p is positive.\nAnswer: p**(-150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382875 and 105375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 45960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/63569 - -63573\/127138. Factor -2 - o*a**2 + 5\/2*a.\nAnswer: -(a - 4)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-5)*y))**29\/(y\/(y*y**15\/y)*(y\/(y*y**(-12)))\/y*y))**(-3) assuming y is positive.\nAnswer: y**(-441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-84))\/((-3619)\/1316)*84\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24417 - 16874. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6*r = -6. Is 266\/(-8)*(-12)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/12 - u**4\/6 + u**3\/2 - u**2. Let n be f(2). Suppose 4*k + k = n. What is the highest common divisor of 12 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*q + 7*q. Let h(p) = -p + 9. Let t be h(q). Suppose t = -3*z + 10 + 437. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9111*j**2 + 4184*j**2 + 4928*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 16*t - 2 = 12*t, 3*i = 5*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-60)\/(-10))\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-18)\/(-24))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23935 - 30?\nAnswer: -23965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(-20\/11)\/(i**16*i\/i**(-1\/21)) assuming i is positive.\nAnswer: i**(-1418\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5*(-5)\/(-2). Let p be ((-9)\/12)\/(b\/(-44)). Let w = p + -20. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0104004 + -4.3.\nAnswer: -4.2895996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Let b(j) = -1 - 5*j - 2 - j**2 - 1 - z*j. What are the prime factors of b(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6592408592 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0140264199 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 68*o**2 - 4*o - 21. Is 8 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27869, -55740, -83611, -111482, -139353, -167224?\n\"Answer: -27871*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 1:47 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.106 - 0.506. Let z = 14 + -18. Let y(r) = r**3 + 4*r**2 - r - 5. Let l be y(z). Put m, l, 1 in decreasing order.\nAnswer: 1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 35*s + 145. List the prime factors of i(4).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 + 811970*l + 14617080 = 0 for l.\nAnswer: -18, 162412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 43*u + 209. Is f(42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245993 * 318.7\nAnswer: -78397969.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -9, 5504915.\nAnswer: -9, -5, 0, 5504915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369845856*o + 105356713 wrt o.\nAnswer: -369845856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329 * -2.\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16\/(b**20*b) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y + 19. Let p be n(10). What is the tens digit of (203 - p) + 2 + (9 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 42. Let k be w(9). Suppose z + 4 = k. Suppose t - 2*o - 342 = 69, -z*t = 5*o - 858. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 32*p - 8. Let r = -800 - -808. Let m(w) = 21*w - 5. What is r*m(n) - 5*s(n)?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108534 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - 6*j + 6. Suppose 3*h = 12, -3*k = -k - 3*h. Let y be t(k). Does 18 divide y\/9*(-162)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/25 (b) -28 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1282, 10269, 34656, 82141, 160422, 277197?\n\"Answer: 1283*z**3 + 2*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1114, -1103, -1078, -1033, -962, -859, -718?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -1\/5, 0.01, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, 448, 943, 1418, 1867, 2284?\n\"Answer: -g**3 - g**2 + 519*g - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -24. Suppose -3*i - 12 = -5*i. Suppose g - i = -4*o. Calculate the greatest common divisor of o and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*y + 7 - 0, -5*y = -t - 17. Solve -7 = t*p - 39 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y - y**3 - 24*y**2 - 2*y**2 + 55 + 8*y. Let a be w(-27). Let k = -235\/4 + 58053\/988. Are k and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490231666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/6 - 1\/3. Let a = y - -5. What is the first derivative of 0 - 2*z**3 - z**a + 2 - 1 wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16397 + 11846 = -123*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-3 - 16 - -17 - 4) - (7 - 2).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*y - 50 + 41 = 0, -5*u + 10*y = 30 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 50*r - 24*r + 67881*r**2.\nAnswer: 67881*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z**2 - z + 19. Let w be b(0). Suppose c - p = 3*p + w, 3*p - 40 = -c. Let u = -11 + c. Solve 0 = -2*a - a - 15, 5*q = 5*a + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3\/(-9))\/((-585)\/2808)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 10*y**2 + 2\/3*y**4 + 0*y + 0 + 1\/60*y**5 + 32\/3*y**3. Let h(f) = 0. Calculate f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 105, 118, 147, 198, 277, 390, 543, 742?\n\"Answer: b**3 + 2*b**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 150*u - 301. Let c be l(-2). What is the fourth smallest value in -0.3, 0.15, 6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -366, 2, 1, 43, -2.\nAnswer: -366, -2, 1, 2, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2420119*y**6 + 181*y**2 - 5664*y wrt y?\nAnswer: 290414280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81954419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137351\/331575 + 4\/4421. Let l = 2\/25 + o. Which is the biggest value? (a) -0.4 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v + 30. Let w be m(13). Let f = 79 + w. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 28.8. Let h = 25\/2 + -12. Which is the biggest value? (a) 3\/7 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/6? (a) -12 (b) 0.281 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**4 + 0*y**4 + 0*y**4)*(-5 + 11 + 26) - y**4 - y**4 + 3*y**4 to p*y**4 + z*y**2 + r + i*y**3 + u*y and give p.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q = 0. Let w be (-1)\/2*(6 + (-4 - q)). Let o(u) = -15*u. Calculate o(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/14)\/(1\/35*(-2500)\/(-750)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 88. Let c be (-2)\/3*33\/d. Let o(q) = -14*q**3 + 2*q**2 - 1. What is o(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2186238 to the nearest one thousand.\nAnswer: -2186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1159*k**6 + 16*k**4 - 9*k**3 + 575*k**2 + 2035*k?\nAnswer: 139080*k**3 + 384*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.978 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56926151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2)))**(-4\/17)*u\/u**(-6)*u**3 assuming u is positive.\nAnswer: u**(162\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-2*sqrt(931).\nAnswer: -28*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*b - 544 = 93*b. Let m = b - 85. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1520 <= -1518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -20.7, 1\/9, 1.\nAnswer: -20.7, 1\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(20)\/sqrt(2) + sqrt(10))*6)\/(sqrt(22)\/sqrt(44) + -4*(2*sqrt(2) + sqrt(2))).\nAnswer: -36*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 301, 502, 759, 1078, 1465, 1926?\nAnswer: 2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1028, -792, -142, 1132, 3240?\n\"Answer: 35*w**3 - 3*w**2 - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22*(-4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701 + -1110. Let m = 683 + k. Let l = 423 - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172802274.\nAnswer: 2, 3, 2099, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -132203230 (base 5) in base 11?\nAnswer: -413093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 1462 - 1782 + t. Let v(l) = -2*l**2. Give s(v(u)).\nAnswer: 4*u**2 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 4 = -43 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 131 = j, -93*h - 4*j + 8 = -92*h - 2*j for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -172 + 448. Suppose -d = 6*i - 10. What are the prime factors of (4 + 2)\/(i\/(-44))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 28 - 12 - 3 + 216*f to z*f + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73885, -147510, -221137, -294766, -368397, -442030, -515665?\n\"Answer: -z**2 - 73622*z - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79398791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-5\/6)*b))**43)**(-47) assuming b is positive.\nAnswer: b**(-10105\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-22) + (-6)\/(-33). Suppose 3*t = -l*t + 20. Solve 8 = -0*i + t*i - 2*z, -6 = -3*i + 2*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-732 + 413*b + 732)*(-32 + 136 + 56 - 15).\nAnswer: 59885*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 3*v**2 - 1. Let b(q) = 5*q**3 - 4*q**2. Give 2*b(h) + 3*c(h).\nAnswer: -5*h**3 + h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3 - 61*y**2 + 88*y + 2.\nAnswer: -12*y - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60086902467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128\/7 + 2162\/119. Let f = 260 - 265. Which is the nearest to -0.1? (a) j (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4\/(-2 + 3). Let h(k) = -k**2 - 4*k - 4. Let w(y) = 2*y**2 + 7*y + 7. Suppose -14*o - 139 + 41 = 0. Give l*w(n) + o*h(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*y - 400*y + 3216 = -620*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 14*k - 33. Let v = 74 + -69. Let f be d(v). Are 10 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121101 - 114?\nAnswer: -121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.14353153 to one dp.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - -1 - (0 - (-4 - -1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1158, 1169, 1188, 1215?\n\"Answer: 4*w**2 - w + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46240 and 5955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 11 = -0*z - 3*z, -2*z - 26 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + o = 41, -x = 2*x + o - 63. Calculate the remainder when 86 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 10. Suppose -2*z + 2518 = 2*y - 3*y, r = -4*z + 4*y + 5040. Let c = 658 - z. Round c to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/2*(-22)\/253*23.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2.2, -65?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-10)\/(-12)))\/(5306\/(-1895))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(3*sqrt(128)*-5 - sqrt(128))*5*4.\nAnswer: -15360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218455 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyzzyzzzz. Give prob of picking 1 y and 3 z.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(245) + 1 - sqrt(245)) + -3 - (2*sqrt(5)*-4 + 0)).\nAnswer: -8*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -1 (b) 0.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 342912899.\nAnswer: 342912904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-1320) + (-2*(-11895)\/(-3861))\/((-8)\/(-3))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302260 is divided by 434083.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 161499 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2 - o**3 + 3 - 2*o**2 + o**2 + o. Let p be r(-2). Let u(a) = 2 - p + 5 + 8*a - 3. Give u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and ((-5 + 8)\/6)\/(11\/109)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 25 = 3*m - 0*m, -4 = -4*u. Let s = 4 - m. Sort s, 4, 1 in increasing order.\nAnswer: s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13204034 (base 5) to base 6.\nAnswer: -2454013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61800 and 660.\nAnswer: 679800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 668388011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 0 + (3*(-4 + sqrt(1008) + sqrt(1008))*5)**2.\nAnswer: -43200*sqrt(7) + 910803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6 - 7\/((-1099707)\/209462). Let p = 5917375\/2513616 - w. Find the common denominator of 59\/14 and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 1119 - 1233. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35+0.092\nAnswer: 0.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, 2*j = -4*m + 166 + 134. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056191315.\nAnswer: 3, 5, 137079421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/10)\/(90\/(-150)))\/((-2418)\/52)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d**2 - 127*d + 19. Let x(m) = -18*m**2 + 126*m - 17. What is 8*s(l) + 9*x(l)?\nAnswer: 14*l**2 + 118*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17. Let s(l) = -3*l**2. Let a be s(-2). What is the tens digit of (-195)\/a - g\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -69.01. Let m = -0.01 + f. Let q = 0 + -0.2. Which is the second smallest value? (a) q (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15987*r**2 + 6168*r**2 + 12894*r**2 + 8940*r**2)*(3*r**2 - 3*r**2 - 2*r**3) + 4*r**5 + r**5 - 4*r**5.\nAnswer: -87977*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 27. Let f = -36 - -42. Let z be -1*f\/9*6\/(-2). Let r(n) = -4*n**2 - 6*n**2 - 4*n**2 + 15*n**z. Determine r(t(x)).\nAnswer: 4*x**4 + 108*x**2 + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5857 - 5493.7. Let v = 349 - p. Let m = v + 14. What is the nearest to m in 1\/8, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 1341 = -783. What is the remainder when c is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 2*m**2 + 8*m + 2*m**2 + 7. Let b be y(-7). Solve -3*i + 3 = -b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9300\/10912 + 72\/(-99)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573331 rounded to three decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**9\/504 - l**6\/45 + 13*l**3\/6 + 4*l**2. Let d(k) be the first derivative of p(k). Find the third derivative of d(q) wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13812 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9458 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 795 = 3*j, -5*t - 4*j + 880 = -114. Let x be (-16)\/(-64)*20 - 998\/t. Are 1\/3 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 5*y + 9. Let t be c(4). Let p(b) = -10*b - 42. Let o be p(t). Let f = 408 + o. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p. Let s be y(3). Is 10 a factor of -9 + s - 6\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(19)*-1) + 0)**2 + -1 + (1 + sqrt(19) + 4 + sqrt(19) - ((sqrt(76)\/sqrt(4))**2 + 0)).\nAnswer: 2*sqrt(19) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1187 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08931 + -0.01069. Which is the second smallest value? (a) 0.07 (b) y (c) 4\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewd when three letters picked without replacement from woedwwewwwaeewwwww.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311\/3060 - 1\/612. Let d(n) be the second derivative of 0*n**4 + 0 + 0*n**5 + 1\/3*n**3 - 6*n + 0*n**2 - h*n**6. Find the second derivative of d(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -786.7 - -784.7. Let f = -6.6 - 0.6. Let c = -7 - f. Sort -7, -1, c, h in descending order.\nAnswer: c, -1, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25a8 (base 12) to base 9\nAnswer: 5812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2636.85 + -2779.8556. Let d = 0.099 - 143.099. Let q = d - j. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*s**4 + 7550539*s**3 - 403087163?\nAnswer: -24*s**3 + 22651617*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:44 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*v - 1330, -2*v + 4*v - 1328 = -4*m. What are the prime factors of m?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*12\/88*12\/18\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34, 0, -0.24?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -652.\nAnswer: -130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 10496039?\nAnswer: 10496033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/5 + 1884708*q**2\/5 - 5654103*q\/5 + 3769398\/5 = 0.\nAnswer: 1, 2, 628233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372389980 = -3*x - 5*y, 3*y - 6*y + 248260012 = -2*x. What is x rounded to the nearest one million?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 31. Suppose 2*a + 60 = 4*a. Suppose -v + 2*i = -15, 0*i + i + a = 3*v. Calculate the remainder when v is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*v - 496, 3*v - 269 = -2*u + 8*v. List the prime factors of u.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {p: 3, i: 1, u: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1\/3, 37, -2, -980?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose 4*z + 4*s = -s + 22, 2 = s. Solve 2*t - 4\/3 - 14\/3*t**5 - 8*t**4 + 8\/3*t**z + 28\/3*t**i = 0 for t.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 45 = -8*y. Suppose 3*v - b = -4*b - 6, 4*v + 5*b + 12 = 0. Suppose v*n + 2*l - 11 = y, 0 = 2*l. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022211 - 1?\nAnswer: -2022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3049 divided by 528?\nAnswer: -3049\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 1. Suppose -3*h + 49 = -29. Let q = -25 + h. Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143515 by -22.\nAnswer: 143515\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 6*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2682 = d - 845, -609 = -a + 2*d. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547346 is divided by 1961.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/4*2)\/3)\/((-5)\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59392 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 664, 925, 1186, 1447, 1708?\nAnswer: 1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/7)\/(10\/60 - (-2)\/(-84))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79878764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-9) - 2)*-3. Let w = 13 - r. Let x be ((-3)\/6*-4)\/(-1). Which is the smallest value? (a) -0.3 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 276*p + 273. Let w(a) = -9*a**2 + 831*a + 824. Let z(o) = -8*v(o) + 3*w(o). Solve z(s) = 0.\nAnswer: -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -37. What is the second biggest value in 5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8893, 8894, 8895, 8896, 8897, 8898?\n\"Answer: i + 8892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 - 565*r**3 + 24675*r**2 - 311155*r + 1259050 = 0 for r.\nAnswer: -149, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000010 (base 2) to base 10.\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8407, 16626, 24855, 33100, 41367, 49662?\n\"Answer: o**3 - o**2 + 8215*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401488 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 318689?\nAnswer: 5\/318689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21049 is divided by 4198.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1145410947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/84)\/(255\/(-107865)*-705).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 38*v**2 - 106*v - 11. Give w(-35).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -4, -1\/48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -308681.58 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000457 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91084620?\nAnswer: 2, 3, 5, 11, 138007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Suppose -m*z + 2 = -1. Suppose -3*w - 2*q - 8 = -6*q, -4*q + 12 = -2*w. Solve -a - 2*g = 14, -g + z = -w*a + 2*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 24960221.\nAnswer: 2\/24960221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 14 - 15*p**2 + 5*p**2.\nAnswer: -3*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*y + 7 - 1, 0 = 5*y + 2*t - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*c - 1 + 1 - 751*c.\nAnswer: -1659*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6a90 (base 11) to base 15\nAnswer: 2b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 * 8\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(8\/12*3). Let a = 815\/141 + 254423\/1551. Let i = 170 - a. What is the third biggest value in 2\/7, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74564 is divided by 442.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13198 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: Calculate -13 - 5*(-1)\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28 = 5*z, -z + 8 = z. Sort 3, 9, i in ascending order.\nAnswer: i, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 11)*(2 - 34\/20).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1842\/167736*(-60)\/(-2). Let x = w + 337410673\/999427. Let p = x + -4350\/13. What is the common denominator of p and -73\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52380*850\nAnswer: -44523000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + m - 2. Suppose -7*d = -2*d - 15. Suppose -d*h = h + 8. Determine j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 2. Let x = 0 - -4. Let o be -2 + 3 + 1 + x. Let q be a(o). Solve 0 = -3*t + 6, -n - q*t + 28 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -399, -384, -353, -300, -219, -104?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 - 36\/3. Let t be 1\/g*(-3 + 1). Let f be ((-3)\/(-6))\/((-1)\/(-4)). Which is the biggest value? (a) f (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 541 - 120. Suppose 60467 - 595 + 156614 = 513*j. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let i(k) be the second derivative of 2 - 1\/3*k**3 + 0*k**2 - 17*k. Determine n(i(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20801, -21078, -21353, -21626, -21897?\nAnswer: -22166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-15)\/45 + -4 + 1 + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let n = 57 - 46. Let x = n + l. Sort 5, x, 2 in increasing order.\nAnswer: 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -203, 5, -5, 7 in descending order.\nAnswer: 7, 5, -3, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 15.93. Let b = 0.021 - -0.249. Let y = b + o. What is the nearest to 0.1 in -0.2, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.23 - -49550\nAnswer: 49527.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppjylpplpjjjxjjp. What is prob of sequence pjx?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*(-1)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16*x)**7*x*x\/(x\/(x\/x**27))*x**(11\/2) assuming x is positive.\nAnswer: x**(199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + 7*o**2 + 118*o - 624. Let r be w(5). Which is greater: r or 510?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46426960 and 17465.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 417\/5372 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4 + 3*q**2 - q**2 - 3*q**2. Let r = 5 + -5. What is the units digit of d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -7\/9 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/5, -2, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*v = 3*v + 16, 3*v + 2 = 5*a. Let y be (14\/(-14))\/(1\/(-5)). Suppose -b + 6*b + y = 0. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-35))\/(474\/135 + 90\/(-81))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2233777, 2233776, 2233773, 2233768, 2233761, 2233752?\nAnswer: 2233741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 218, 328, 440, 554?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*a**2 - 331*a + 120.\nAnswer: -(a + 24)*(14*a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 2, l: 3, d: 9}. What is prob of sequence ld?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 16*t**3 - 12*t - 4. Let s(r) = 2*r**3 + 699 - r**4 - 700 - 14*r**2 - r + 15*r**2. Let p(z) = h(z) - 4*s(z). Factor p(n).\nAnswer: 4*n*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d6 + -1?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - n - 3*n = -3706, 4958 = 4*r + 2*n. What is the greatest common divisor of 69 and r?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 0.2, 2\/11, 10\/9, -2\/29, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1942128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 23 = 9*n + 5*g, -5*g = -5 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j**2 + 3*j**2 + 22*j**2.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385966868 divided by -1079?\nAnswer: 1284492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4693869 is divided by 147.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-144)\/42*(4 + -18). What is the greatest common factor of s and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 9*x**4 + 18*x**3 - 4*x**2 - 24*x.\nAnswer: x*(x - 1)*(x + 2)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 6. Let f = -34 + 48. Let d = f - 8. Sort v, 2, d in decreasing order.\nAnswer: d, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -465 in -1\/5, -2\/13, 2134?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.15, -0.02, -22\/19, 9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*c - 60, 66 - 11 = -0*f + 3*f - 13*c for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - (-4)\/(-8). Suppose -h - 5 = -l. Round h to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 278, 3, 92, -1, 1 in decreasing order.\nAnswer: 278, 92, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37969 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*i + 9*i**3 + 0*i**3 + 67*i + 58*i - i**3 + 3*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374000 divided by 4.\nAnswer: 93500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - -1)\/(-4) + 3. Put j, 1, -5 in increasing order.\nAnswer: -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 18 = -3*i + w*i. Let f = i - 5. What is the greatest common divisor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -397*i**2 - 8*i - 8. Let t = -96 + 92. Let n(z) = -132*z**2 - 3*z - 3. Let j(k) = t*s(k) + 11*n(k). What is the units digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(56)\/sqrt(2)))\/(1*sqrt(605) - (sqrt(720) - (sqrt(720)*-2 - sqrt(720)))) + -1.\nAnswer: -1 - sqrt(7)\/74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 469035 = 2*n, 19*n = 6*b + 21*n - 562864. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/8)\/(-1) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - 4*(sqrt(405) + 4)) + 2)**2 + 0 + (-5*(sqrt(320) + -3))**2.\nAnswer: -444*sqrt(5) + 12066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6291 + -6286. Let u(o) = -7*o**3 + 2*o**2 - 9*o + 5. Let s(g) = 0 - 2 - 2 + 2 + 4*g - g**2 + 3*g**3. What is z*s(k) + 2*u(k)?\nAnswer: k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*80\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -5\/6*y**3 - 1\/75*y**5 - 1\/900*y**6 + 0 + 5*y**2 + 0*y - 1\/15*y**4. Let p(f) be the first derivative of q(f). Factor p(n).\nAnswer: -2*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - k + 1. Let l be y(-4). Suppose -p = -2*s - 36, 49*p - 48*p = -2*s + 44. What is the greatest common factor of l and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -3 + 1 + sqrt(34)\/sqrt(2))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28*m - 30*m = -140, 0 = m - 4. Calculate the lowest common multiple of 132 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 1)*(-3 + 3 + 2) - 1 - 9 - 1)*(31 - w**2 - 30 - w**2)*(-3*w**2 - 2*w**2 + 4*w**2) in the form f*w**4 + o*w**3 + j*w + x + r*w**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -158.96.\nAnswer: -159.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*i - 6966*i + 111212 + 216399 = -86229 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Suppose -2*h + i + 27 - 8 = 0, 3*h + 2*i - 25 = 0. What is the remainder when h is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -15 (c) 2\/7 (d) -0.0616285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 12. Let d = 22 + -14. Let l be m(d). Suppose 2*k - 4*k - 359994 = l*y, 0 = -3*y - 2*k - 269994. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.72896l to millilitres.\nAnswer: 13728.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71996.23ml in litres?\nAnswer: 71.99623","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2508631?\nAnswer: 7525893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+351874852\nAnswer: 351874852.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114*s + 226 = 1227*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 7 + 17. Solve x*u = u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.8 - 24.8. Let y(m) = m + 1 + 0*m + 1. Let d be y(0). Sort l, 0.5, d in increasing order.\nAnswer: 0.5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 12:11 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 11*l**2 + 2*l - 7. What is c(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z - 5*w, 0 = 5*z - z - 4*w + 12. Is z*1*(-15)\/6 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*r - 2074 - 1439 = 6855 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/80 in -2\/5, -252, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.9, -2, -6.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 613*q\/2 + 5032.\nAnswer: -(q - 629)*(q + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2598 and 77\/87?\nAnswer: 75342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 363 (b) 0.5 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 100 = -28. Suppose -x - 3*x + w = 0. What is the smallest common multiple of 4 and ((-5)\/10)\/((-2)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**4 + 5*t**4 - 3*t**4)*(3 - 3 + 2) + (-1 - t**2 + 1)*(4*t**2 - 5*t**2 - 2*t**2) as l + n*t + p*t**4 + z*t**2 + b*t**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1069 - 22439\/21. Let q be (-64)\/(-112)*(-2 - 0). Let v = q + z. What is the smallest value in 4, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0109 - -2.8791. Let w = -0.018 - c. What is w rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.194341 milligrams in tonnes?\nAnswer: 0.000000008194341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -389*f + 1. Let j(x) = -x**3 - 7*x**2 + 2*x + 18. Let a be j(-8). Let m = a - 57. Let w be d(m). Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 3. Calculate the remainder when 82 is divided by (n\/(-5))\/((-3)\/105).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 103 - 148 = 0. Factor 20 - 73*s**2 + r*s**2 + 83*s**2 - 75*s.\nAnswer: 5*(s - 1)*(11*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6386, 10122, 16348, 25064, 36270, 49966, 66152?\n\"Answer: 1245*v**2 + v + 5140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-4)\/6 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 - 11 - (0\/2 + -2). Sort s, 16, 4 in ascending order.\nAnswer: 4, s, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/5 + 478*d**2 - 14444*d\/5 - 38432\/5 = 0. Calculate d.\nAnswer: -1201, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1164\/485)\/(2\/(-15)*-12). Factor -3*s + 3*s**3 - 9\/4 + f*s**2 + 3\/4*s**4.\nAnswer: 3*(s - 1)*(s + 1)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*s + 80 = -4*n, -116 = 3*n - 2*s. Let y be -6 + 9 + n\/14. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239867 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 235 + 11963 + 11530 - 276.\nAnswer: -3*g + 23452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (3 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15)\/2*2\/1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 13*v - 13. Let f be n(-7). Let r(m) = m - 13. Let u be r(9). Let a = u - 1. Is a <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 7*u**4 - 59*u**3 + 143*u**2 - 121*u + 30 = 0.\nAnswer: 3\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -46 - (8 - 40 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95766*u**3 + 48156*u**3 + 48143*u**3.\nAnswer: 533*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37966 and -112?\nAnswer: -4252192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115103, 230273, 345491, 460763, 576095?\nAnswer: 691493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52927 is divided by 2785?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6 (b) 14 (c) -0.14 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 490*f**2 - 14*f - 2. Let r(n) = -164*n**2 + 4*n + 1. Determine -2*q(z) - 7*r(z).\nAnswer: 168*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50937?\nAnswer: 3, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 3*s**2 - 37 + 47 - 4*s**2. Give x(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/5, 0.1, 0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/263 - -23789\/4734. Find the common denominator of p and -13\/276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 1, w: 1, y: 1, a: 2, d: 1}. What is prob of picking 1 w, 1 y, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -140134 (base 10) in base 15?\nAnswer: -2b7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.96 rounded to 0 decimal places?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (7 - (44 + (13 - 10 - 5)) - -8)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 4*x**2 + 3*x + 6. Let c be l(-3). Let m be 0*(-7)\/c*(-6)\/(-4). Suppose m = -5*a + 13878 - 2023. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 12*t - 2. Let s be a(3). Let d be 4*1 - (15 - s). Let g(o) = -o**3 + 8*o**2 - 5*o + 2. What is the units digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -187\/9. Put 5, w, 4 in decreasing order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + -3 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + 5*i. Let a be n(-4). Let k = -65 - a. Suppose -k*c = -t + 11 - 1, -c = -t. Is c at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 17*n**2 + 2. Let k be j(17). Factor -9*m**2 - m**2 + 15*m**3 - 3*m**3 - 4*m**4 + k*m**2.\nAnswer: -4*m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183048 and 557844.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 146\nAnswer: 145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*s*s\/(s\/(s*s\/(((s**(-1)\/s)\/s)\/s)))*s))**(4\/13)*s\/((s**(-1)\/s)\/s*s)*s**(1\/7) assuming s is positive.\nAnswer: s**(62\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (684\/16)\/(-9)*-12.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, v: 2}. Give prob of sequence vd.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -2.3. Let f = -0.6 + m. Let o be (-5)\/50*(-15)\/(-2). Which is the second biggest value? (a) o (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1581 and -161\/30?\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 1, c: 2}. Give prob of sequence ccd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-46)\/6)\/((-11)\/(-99)). Let u = w - -75. Calculate the remainder when 68 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-11)\/(-5) + -4. What is the nearest to 1 in q, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/3*3\/7. Let m(o) = 80*o + o**j + 78*o + 78*o - 237*o. Let r(q) = -9*q**2 + 9*q. Calculate -12*m(b) - r(b).\nAnswer: -3*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13617*x + 82305. Calculate d(6).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Let h = 5.4 - q. Which is the closest to 0.1? (a) -0.5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7471158209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28465583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100 + 1644?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 4*q + 17*q + 128 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 9) to base 5.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/1104*23)\/((-12)\/64))\/(2\/30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 3*l - 16, -2*n - 3*l + 1 = 0. Suppose -n = -3*z + 34. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83891, 335580, 755053, 1342310, 2097351, 3020176, 4110785?\n\"Answer: 83892*p**2 + 13*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22817600851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 150 + 18619028*n**2 - 18619027*n**2 + 157.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 341, 346, 355, 368?\n\"Answer: 2*v**2 - v + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*y = 854*y + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -178.74. Let i = t + -3.7553. What is i rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) 0.247 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 2*i + i**2 - i - 1. Let f be n(2). Suppose -3*b + 6*b = -3*r + 90, f*r = 3*b + 120. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 28*x**2 + 238*x - 30. Calculate b(8).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209\/5 + -42. Which is the third smallest value? (a) 2\/7 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 991576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/28 - (-37)\/(-7). Which is the nearest to 0.3? (a) -4\/5 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*r - 684 = 0, 3*d + 2*r = 428 + 256. Let o be 4\/(-6) - d\/9. Let h = 46 + o. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-24)*-14 + -6 + 2263\/372?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2. Let s(a) = 40*a**2 + a - 8. Determine 5*n(b) + s(b).\nAnswer: 40*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 2, 66, -2 in decreasing order.\nAnswer: 66, 2, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1521*t + 1484*t + 962 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let l(b) = -6*b. Let i be l(5). Let x be ((-3)\/(-2))\/((-9)\/i). Solve d - x = -f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325460202.\nAnswer: 2, 3, 54243367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64006921 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, u: 6, d: 1}. What is prob of sequence wdu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 9*z**2 - z. Let f be t(-9). Let a be f\/(-3) - (0 + 21). Let b be (16\/a)\/(2\/(-15)). Calculate the highest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) -542\/13 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283 - 379. Which is greater: -98 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 10 = -3*f. Let z(t) = t**3 + 4*t**2 - 5. Let w be z(-4). Put f, w, 4 in decreasing order.\nAnswer: 4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 23 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 5. Solve 5*z = s, h + h = 2*z + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2712071\/99 + -27395. Find the common denominator of 151\/90 and w.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -5*z**4\/24 + 10*z**3\/9 + 65*z**2\/4 - 105*z + 1095. Factor i(y).\nAnswer: -5*(y - 7)*(y - 3)*(y + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76959 + 76959 + 15*r**2 + 16*r**2 - 4*r.\nAnswer: 31*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20121 = -2*j - 20083, 2*a = 3*j - a - 27 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -197*p**5\/20 - 5043*p**2. Let h(o) = -14*o. Give h(v(k)).\nAnswer: 8274*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4 + 0*a**3 + a**2 + 3*a**3 + 2697*a - 2698*a. Determine v(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40604610, 81209224, 121813838?\n\"Answer: 40604614*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1008) + -2*sqrt(1008))*5)**2.\nAnswer: -75600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-4) - 3)*0. Suppose y = -i - 13 - 54. What is i rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:21 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 59*h. Let t be 28\/49 + 6\/14. Let k be n(t). Suppose -4*o + j + k = 0, -4*j + 2*j - 28 = -2*o. What is the greatest common factor of 75 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 22. Calculate b(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1845 and 129.\nAnswer: 79335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-22 - (-1 - -1)). Suppose 5*m = -2*z - w, -6*m - 20 = -2*m. Factor 1 + z + 2*d**2 + 3*d - d**2.\nAnswer: (d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.01 (b) -2 (c) -57 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1444517?\nAnswer: 1444520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - 0.48. Let u = -0.45 - g. Let o = u + -0.25. What is the closest to 1\/3 in 0.5, o, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938195332?\nAnswer: 2, 234548833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58671 - 283187.12946.\nAnswer: -341858.12946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 3*m**2 - 2*m**2)*(-19 + 19 + 10*m**2).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = t - 16, -c - 11*c + 4*t + 20 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*c**2 - 1234*c - 60.\nAnswer: -2*(c + 15)*(41*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 2*i + 784. Calculate z(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 69, 125, 213, 345, 533, 789?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 48*f + 18. Let i = -173 - -157. Calculate the smallest common multiple of 18 and k(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 48655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9*(10\/6)\/((-198)\/66)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46030 - 45986.937. Let i = z - 0.063. Let c = 43.000074 - i. What is c rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327\/40 + -171\/20. What is the third smallest value in 2, 37, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/126*70868\/(-37965)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 20, 0*v - v = 4*z - 2. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21910 is divided by 426.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 5*y + 2. Let s(u) = 5*u**2 + 6*u + 3. Let c(k) = 4*a(k) - 3*s(k). Let g(x) = -10*x**2 - 56*x - 66. Let t(r) = 6*c(r) + g(r). Factor t(b).\nAnswer: -4*(b + 2)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 6. Let p(n) = 818*n + 1639. Let i be p(-2). Let z(m) = 3*m - 5. Let b = 3 + -1. Calculate b*r(d) + i*z(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*k + 5 = 0, 0 = -t - 4*k - 5 - 4. List the prime factors of -3 + t + (72 - -3).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*h**2*k**2*n - h**2 - h*k**2*n + 3*h*n - k**2*n + 4*n wrt k.\nAnswer: -14*h**2*k*n - 2*h*k*n - 2*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Suppose 128*x - 690 = 126*x. Let a(v) = x*v**2 + v - 126*v**2 - 123*v**2 - 124*v**2. Calculate p(a(n)).\nAnswer: -28*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Suppose 0*b - 51 = -3*b. Suppose 11 = 4*s - b. Solve k*r - s*r = 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)*a*a\/((a*a**8\/a)\/a)*a*a*(a**(1\/3))**(-2\/7))**(-43) assuming a is positive.\nAnswer: a**(13889\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/5, -2, 1\/6 in decreasing order.\nAnswer: 1\/6, 0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 82 = -28. Let h = 16 - m. Is 1\/(h\/93)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 5 (c) 1\/4 (d) 3 (e) 4 (f) -424\/5 (g) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 4*q. Let c(o) = 15*o**2 - 8*o. Let z be c(-4). Let p = -270 + z. Is q != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3299730353.\nAnswer: 7727, 427039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*x - 8, 4*x + 6 + 6 = 2*k. Find the third derivative of b**2 - 5*b**2 - 4*b**2 - 7*b**k - 9*b**4 wrt b.\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*b - 3*b - 10 + 8 as p*b + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20*y**3 - 6*y - 18. Let l(u) = -40*u**3 - 13*u - 37. Let c(g) = -6*l(g) + 13*r(g). Differentiate c(d) with respect to d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 11*d + 11. Let z be u(6). Does 6 divide (-46)\/z + (-1264)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112317 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (89\/89)\/(36\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -72. Suppose 5*j - i = 2*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 120?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75971 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000972742 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -40. Let b be 1\/(y\/27) - -2. Let i = -2564.7 + 2565.7. What is the closest to 1\/4 in i, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 34*m = 6*t - 26, -4*m = -32. Which is the nearest to t? (a) 61 (b) -4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2\/4 + 5*n\/4 - 15\/2 = 0. Calculate n.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1036\/2125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 8. Let g be w(7). Suppose i = -2*i + g. Suppose i*d + 15 = 0, 3*a - 4*d = -25 + 91. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1771463.5 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*t - z, 3 = -3*t + z - 2*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.929 rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 10. Let r = g - -4. Let h = -2.98 - r. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-15\/8)*d*d*d**(-7\/6)\/d)**(-1\/10))**36 assuming d is positive.\nAnswer: d**(147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/15*96480\/(-64). Let i = 166067\/45690 - 2\/1523. Find the common denominator of i and (-7)\/(-4) - n\/3564.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txttttxttttttttttt. Give prob of picking 1 t and 1 x.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1a5b2 (base 13) to base 10\nAnswer: 51521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82149 and 5699.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 - 6. Let g = q + -0.1. Which is the third smallest value? (a) g (b) 0.6 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -975837?\nAnswer: 975841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.175 + -2.575. Let q be 2\/(-2) - 12\/(-3). Suppose 20 = -2*s + 5*y, -q*s - 4*y = -15 - 1. Which is the closest to s? (a) n (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411395?\nAnswer: 3, 5, 23, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-58168)\/(-601510) - (-4)\/(-26)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/8 + 25*h**2. Let w(s) = 2*s**2. What is a(w(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.08, 0, 2\/3 in increasing order.\nAnswer: -0.3, -0.08, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -427 - -131. Let m = d + 294.794. Let t = m - -1.2. What is t rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 2185 = 2241. Solve -6*w + 10*w = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25\/9 - 3 - 2850779\/(-171).\nAnswer: 3, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595419880 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/70 - u**4\/42 + u**3\/21 + u**2\/7 + 8*u. Factor i(r).\nAnswer: -2*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 15, -1\/4, -1234, 4\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-108) + 6\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*c**2 + 5*c**2 + 3*c**2 + 3*c**3 + 9*c**4 wrt c.\nAnswer: 216*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 689401*f - 1799992 wrt f?\nAnswer: 689401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 5*r - 499 = 0, 3*r - 233 = -2*u. What is the highest common factor of u and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 3*z - 10. Let b(r) = 2*r**2 + r - 5. Suppose 0*t - 10 = -2*t. Let s(v) = t*b(v) - 3*p(v). Let f be (2*(-4)\/6)\/(7\/21). Give s(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20255 is divided by 9617?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37783560323\/4460 + -16943291\/2. Let o = c + 3\/892. Suppose 9\/5*n**5 - 36\/5*n - 6*n**2 + 81\/5*n**3 + o - 48\/5*n**4 = 0. Calculate n.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 5*l**2 - 7*l - 38. Give y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12470 to the nearest 100.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13\/2))**(3\/17)\/(x\/x**(-2\/9)*x\/(x\/x**5))**(-9\/7) assuming x is positive.\nAnswer: x**(233\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 5522 at least 5524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - 9*v - 9. Let b be m(-1). Solve d - 2*p = -p + 5, b = -2*d + 4*p + 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.3 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 - 12208*y**2 - 61116*y - 73368 = 0. Calculate y.\nAnswer: -3, -2, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r**2)*(89 - 89 + 138*r**2) + (6*r**3 - 4*r**3 + 3*r**3)*(r + 2*r + 0*r) as p*r**4 + v*r**3 + j + g*r + b*r**2 and give p.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14*-1)\/((-4)\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lxxpllx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9463*k + i = 9459*k - 32, 0 = 2*k + i + 14 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20 - 26*x**2 + 13*x**3 + 59*x**3 + 15*x**2 + 19*x**3 + 12*x**2 wrt x?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107 = -11*w + 1151 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gthyylyyayyayy. Give prob of picking 1 g, 2 a, and 1 y.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 51858*s - 3*s**3 + 11 - 25917*s + 3*s**2 - 25945*s. Let i(d) = -4*d**3 + 4*d**2 - 5*d + 12. Determine 4*i(p) - 5*z(p).\nAnswer: -p**3 + p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1203 (base 5) to base 14\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1204 - 1202. Solve 5*w + 5*f = 0, -w + c*w - 4*f = 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-219)\/(-6) + (-9)\/6. Suppose u + 104 = 5*v + b, -64 = -4*v + 3*u. Suppose 0 = -5*o - v + 83. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797549126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74.9728*0.06.\nAnswer: 4.498368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 87. Suppose -q = 3, -2*g + 2*q + z = -0*q. Let m be 3*(-4)\/g*(-10)\/(-57). Is m at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869757 is divided by 54359?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15878.\nAnswer: 3\/15878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from {j: 7, d: 4, h: 8, e: 1}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147.486 + -148. Round u to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4634512261 - 0?\nAnswer: 4634512261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose -5*l = 2*q - 17 + 4, -l - d = -q. Solve -3*p - 12 = -v - 0, q = -p + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 507 and 60333?\nAnswer: 60333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/10*(-68)\/3. Let j = f + -21. Let s(u) = u**2 - 2. Calculate the remainder when j is divided by s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 17*u - 29. Let m be z(-17). Let y = 27 + m. Which is the closest to 1\/4? (a) 4 (b) -1\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) -4 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2731 is divided by 2723.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.31066 rounded to two decimal places?\nAnswer: -24.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-412.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 1. Let s(z) = -z + 3. Suppose 3*w - 6 = 6*w, 8 = 3*n + 5*w. Let d be s(n). What is a(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429025363.942 minus 0.02?\nAnswer: -429025363.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -277*u - 14381. Let l be g(-51). Which is greater: -1\/52 or l?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/173, -2\/13, 2, -0.5, 132 in ascending order.\nAnswer: -0.5, -2\/13, 4\/173, 2, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + -4 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -804, -827, -864, -915, -980?\n\"Answer: -7*m**2 - 2*m - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30.37032 microseconds?\nAnswer: 0.03037032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 407 and 1205479.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.35 - 0.55. Let b = 0.8 + i. Let f(o) = -o + 2. Let a be f(5). What is the closest to b in -0.1, a, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.5 - 41.5. Let y = 63517496 + -63517444.000042. Let f = a + y. What is f rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:53 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12564724 is divided by 6282332.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/80 + 13*r**4\/48 + 3*r**3\/8 + r**2 - 7*r. Factor w(z).\nAnswer: -(z - 9)*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Divide -133500 by -89.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1456 - -2040. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3 - 25*f**2 + 82*f - 56 = 0.\nAnswer: -28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*b + 197*b + 158. Let u(m) = -2*m**2 + 4*m - 8. Let p be u(7). Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 3 (c) -2\/5 (d) 67\/79 (e) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2299, -2602, -3423, -5020, -7651, -11574, -17047?\n\"Answer: -43*a**3 - a**2 + a - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**3 + 17*d**2 - 5*d - 9. Let j(v) = -2*v**3 + 4*v**2 - v - 2. Let l(t) = -9*j(t) + 2*y(t). Is 6 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1668 - -1667.85108. What is d rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410*w**4 + 3*w**3 - w**2 - 31*w + 6748997 with respect to w.\nAnswer: -1640*w**3 + 9*w**2 - 2*w - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/20 - 2*t**4\/3 + 5*t**2\/2 - t - 4. Let u = -57 - -49. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/17 + 7\/85. What is the biggest value in -0.4, -4, 6\/5, j?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -9\/4 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*m = 48, -3*p - p + 4*m + 40 = 0. Let f = p - -88. Let l be (-444)\/f - (-6)\/(-16). Let k(v) = -v**2 - 4*v + 5. What is k(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5717 + -10?\nAnswer: 5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288830, 577660, 866490?\nAnswer: 1155320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 3*b - 3. Let n(r) = -r**2 + 8*r - 5. Let c be n(7). Let x be v(c). Is x at least -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3\/2 + 2*a - 36. Let f(v) = -84*v**2. Give f(h(p)).\nAnswer: -756*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 76*z**2 - 11*z**2 - 20*z**2 - 23*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202441, 404879, 607317, 809755?\nAnswer: 1012193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/61 + 57\/244. Suppose 0 = -6*i + 5*i + 5. Which is the third biggest value? (a) i (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5860 + 5859. What is the nearest to u in -2\/7, -4, 0.11, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-26)\/52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-240)*8\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1)*18\/(-8). Let r be ((-2)\/6)\/(1\/k). Find the first derivative of 2*x**3 - 3 - 7*x**r + 3*x**3 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2566002.5 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 16*w - 6. Let l(c) = -3*c**2 - 47*c - 17. What is -6*l(m) + 17*r(m)?\nAnswer: m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*y - 276*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423123 + -1130?\nAnswer: -1424303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 39 = 4*n. Let l be (0\/(-1))\/(12 + n). Suppose 1\/4*f + l - 1\/4*f**2 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 61*k**2 - 11*k + 4. Let n(l) = 60*l**2 - 9*l + 3. Give 5*b(t) - 6*n(t).\nAnswer: -55*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 118451 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*2)\/(sqrt(60)\/(sqrt(12)*3)).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 16*j = 8. Suppose 2*t - 4*t + 2653 = 3*m, 1339 = t + j*m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(475) + -2 + (sqrt(19)*2 + 1)**2) + 1.\nAnswer: 54*sqrt(19) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w + 3. Let k(n) = n**2 - 10*n + 11. Let d be k(8). Let p be u(d). Is (-2)\/(-2) - -38*p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0.3, -0.3, -4, 24 in ascending order.\nAnswer: -4, -0.3, 0.3, 24, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Suppose 0 = -t*u + u - 4. Is (-1 + -1 - u) + 68 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*k**2 + 129*k**2 - 182*k**2)*(-5*k + 10 - 10) + k**3 + 3*k**3 - 2*k**3 + (-5*k**2 + k**2 + 3*k**2)*(-k - 1 + 1).\nAnswer: 958*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-9))\/8)\/((-3)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - v - 2 + 11, 3*h - 4*v = 8. Suppose 5*t - h = 6. Differentiate 4 + 0*u**2 + 2*u**t - 2 with respect to u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*d + 16 = 0, 9 = -2*f + 2*d + 1. Let s(y) = 4*y + 35. Let k be s(f). Find m, given that 12 - 3*m**3 - 20 - k*m**2 + 8 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 8\/11 (c) 0.1 (d) 49 (e) 1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2417*j**2 - 959515 + 959515 - 2586*j wrt j.\nAnswer: 4834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2136)\/(-432) - 1\/(-18). Let g = 9 - 5. What is the third derivative of 16*s**2 + g*s**6 - 9*s**5 + 9*s**u wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 1, -3352, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ce (base 15) in base 7?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**8\/(v**4*v**(1\/4)) assuming v is positive.\nAnswer: v**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = 31*a - 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 131989 divided by -35\nAnswer: -131989\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10861.647683 less than 3?\nAnswer: -10858.647683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19386405*f**3 + 663037*f - 5?\nAnswer: -116318430*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018098 rounded to four decimal places?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/105659062 and 39\/8459.\nAnswer: 1162249682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 879 and 6956699?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-9\/7)*s*s)\/(s*s*s**16*s*s) assuming s is positive.\nAnswer: s**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 12*h - 20. Let o be b(-14). Suppose -p + 28 = 4*u, -3*u = -6*u - 4*p + o. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72437280 divided by 14487456\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/13, -3, -1419?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190)*-2 + sqrt(190) - sqrt(190))*4 + sqrt(190) + 1*sqrt(190)*2)\/((-1*sqrt(4860) - sqrt(60))\/(-3*sqrt(24)\/sqrt(4) - sqrt(6))))**2.\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15543715, 31087430, 46631145, 62174860, 77718575?\nAnswer: 93262290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -85, -100, -115?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1294*m**2. Let c(g) = 13*g**2. Determine c(b(s)).\nAnswer: 21767668*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4415.\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001789323 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4 - 229077658*o**2 + 780073366 wrt o.\nAnswer: 4*o**3 - 458155316*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 31.2. Let x = -9.8 + w. Let z = -9.5 - x. Which is the biggest value? (a) -2\/7 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*g**3 + 3*g**4 + 2*g**4 + 30 - 18 + 18*g**2 + g to the form f*g**3 + h*g**2 + d*g + z + s*g**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 3*v - 30. Let s be q(5). Let g(j) = -j**2. Let i(w) = 6*w**2. Give s*g(h) + i(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 2660 = 0. Suppose 116 = 4*p - s. Is p a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.207331 - -1.115361. Round p to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/9))**(-20\/11)\/(c**(2\/3))**49)**(-13\/2))**(-41) assuming c is positive.\nAnswer: c**(-83681\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -59, 31, 4 in decreasing order.\nAnswer: 31, 4, 1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {x: 1, e: 6, q: 5, f: 2, v: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*242.8\nAnswer: 97.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-4\/5)\/z)\/z)\/z*z**(2\/9)*z**27*(z\/(z**6*z))\/z assuming z is positive.\nAnswer: z**(784\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4041 + -4028. Calculate the remainder when v is divided by 1\/4 - 7\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 3*m**2 + 3*m**2. Let x(j) = 4*j**2 - 5*j**2 - 2*j + 2*j. What is x(d(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 4*x, 4*x - 4*q = 2*x - 2. Let a(o) = -15*o**2 - o. Let j be a(x). Let h be (-2)\/j - (-52)\/28. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 + 35*v**2 - 10*v**2.\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159.5 + -159.3. What is the second biggest value in 0.11, v, -0.6, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 167050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k*u**3*y + 2*k*u**2 - 24*k*u + 508491*k*y - 7*u wrt u.\nAnswer: 27*k*u**2*y + 4*k*u - 24*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6891678 kilograms?\nAnswer: 689167800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*r + 118, 58 = -3*r - 225*l + 221*l. Which is the second smallest value? (a) -0.5 (b) 52 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5739.972146 to one dp.\nAnswer: -5740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = -20, -15 = -5*k + 2*m. Let z be (k - 5\/4)*24\/(-2). Suppose 0 = z*s + 9, 2*n + 5*s + 4 = -11. Solve 4*w + 0*w - 16 = n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 20. Let w(d) = d**3 - 11*d**2 + d - 8. Suppose 6*s - 40 = 26. Let u be w(s). Let x be l(u). Solve 25 = -x*f + 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*z = -z - 145, -3*z = 2*s - 37. Calculate the greatest common factor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 10*y - 5. Let p be h(-4). Suppose -f + 777 = 4*s, s - 579 = -2*s + p*f. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 2. Let k(v) = 2*v + 4. Let s(d) = 5*j(d) + 2*k(d). Let m(t) = -2*t. Let f be m(-2). Calculate s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284 - -282. Let g be (-16)\/12 + 2\/6. Let p = -17.73 + 10.73. What is the third biggest value in 5, p, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -a, 0 = -5*t + 2*a + 31 + 4. Suppose 4*u - k - 12 = 12, 0 = 2*u + t*k + 10. Let q be (-2 + 1)\/(18\/4). What is the nearest to 2 in q, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471\/11 + -43. Let y be 54\/(-252)*14\/(-6). Let j = -1.6 + 2. What is the third biggest value in z, y, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 51. Let k(h) = -1 + 8*h + 0 + 2 - 9*h. Let x(o) = -o**2 - 3*o. Give y*k(j) - x(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qznqonqhqmhhmo. What is prob of sequence qzoo?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 24 - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.978 - 0.022. Let i = x - -53.1. What is the nearest to -2\/3 in 4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32883 is divided by 114.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (942 + 119 + 327 + 38)*(2*b + 8*b - 2*b).\nAnswer: 11408*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -0.4, -2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 4*y + 54*y as q*y + w and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let z = j - 0. Calculate the remainder when 9 is divided by (z*-3 - -1) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**3*u**2 - 115*s**2*u**3 - 21*s*u**2 + 46*u**3 wrt s?\nAnswer: -30*s*u**2 - 230*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 - 4*n**3\/3 - n**2\/2 + 3*n + 4. Calculate the remainder when u(5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:00 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 7. Solve 2*f + 0*f**3 + 3*f**2 + 8*f**4 + n*f**2 + 14*f**3 + 8*f**3 - 2 = 0 for f.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -11. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/98)\/((-285)\/1330).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2922 - -2931)\/((-9)\/19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.5. Let l = 2.04 + -0.04. Let g = 4 - l. Which is the nearest to o? (a) 0.5 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 22950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924849 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y - 5. Let o be c(-2). Let l = o + -9. What is the third derivative of -54*a + 8*a**3 - 8*a**l + 54*a wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855059.\nAnswer: 23, 124133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:37 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - -929. Let l = -839 + w. Suppose 4*c = -c + 2*q + 550, 2*q = 4*c - l. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(9\/7)*a)\/(a**18\/a)*(a**10)**(1\/33) assuming a is positive.\nAnswer: a**(-3329\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 1, e: 1, h: 1, c: 1}. What is prob of sequence en?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 278 + -203. What is the highest common divisor of v and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -1\/56, -0.4, 0.5, 0.412, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6564 and 809560?\nAnswer: 2428680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + -3 - (-3 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b - 360*b**5 - 9*b**3 + 0*b**4 + 2*b**4 + 356*b**5 - 64*b**2 - 2*b**4 wrt b.\nAnswer: -240*b**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)\/sqrt(10) + -3 + -5)*-1.\nAnswer: -4*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j - 13*j - 14*j - 2 - 7*j.\nAnswer: -52*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -712*n**3\/3 + 181*n**2 - n + 390. What is the second derivative of v(l) wrt l?\nAnswer: -1424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/14*44\/((-660)\/9)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 20166335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -112. Suppose 333*r - 588 = 305*r. Calculate the remainder when y is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 2*g**2 - 3*g + 4. Let m be s(-3). Suppose -8 = -3*k + m. Suppose -2*i = -k*i. What is the biggest value in -2, i, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 + 8929*f\/7 + 921162\/7.\nAnswer: -(f - 9031)*(f + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -468, -771, -1072, -1371?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/12)\/(-8)*1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 232\/28 - ((-12)\/14)\/(-3). Factor 0 - 8 - 2*l**2 + u + 2*l.\nAnswer: -2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10655 - -11.838.\nAnswer: -10643.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 792701 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 235\/(-246) + (-97 - -98) and 1\/33.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5750 is divided by 957.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1539.644804 to 1 decimal place.\nAnswer: -1539.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/785 + 2361\/5966. What is the common denominator of l and 54\/35?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 34*p**2 + 91*p - 64. Let i be w(-31). Let u be (-48)\/(-264) + 42\/11 - i. Let k(n) = n**2 - 5*n + 4. Give k(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from jjzjjzjjzj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -864 + 7718\/9. Let v = 272\/45 + a. Put 2\/9, v, -5, -3 in ascending order.\nAnswer: -5, -3, v, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -14. Let l = 18 + -18. Let y = -15 - -10. Sort c, l, y in descending order.\nAnswer: c, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/30 and 2\/13655?\nAnswer: 81930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, 0, 22 in descending order.\nAnswer: 22, 0, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324105 (base 6) in base 13?\nAnswer: 275a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:46 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -94.1. What is the closest to -7 in 0, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.024 - -0.206. Let b = 11.53 - i. Let s = b - 11. What is the second smallest value in 2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*1095.73.\nAnswer: 33967.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b. Let k(c) = 6*c. Determine -4*k(o) + 5*n(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19947?\nAnswer: 3, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/60 in -0.4, 1, -2\/5757?\nAnswer: -2\/5757","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 + 1.8. Sort 4, b, 0.2 in descending order.\nAnswer: 4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6986 and -0.079?\nAnswer: 0.0551894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 36 = 4*i - 26*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + n**3 - 2*n**3)*(18 + 7 - 29)*(394 - 157*n - 394).\nAnswer: 628*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56712208 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23*u**2 + 3*u - 3. Let v(z) = 165*z**2 + 22*z - 22. Let w(o) = 3*v(o) - 22*y(o). Let p(a) be the first derivative of 11*a**2\/2 - 1. Give w(p(c)).\nAnswer: -1331*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 1. Let t(l) = -11*l. Let a(m) = 5*m. Let x(j) = 7*a(j) + 3*t(j). Let s be x(-2). Let u(y) = -2*y**2 - 4. Calculate s*i(w) + u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*f + 19. Suppose 0 = f*c - 4*c - 6. Suppose k - 5 - 5 = w, 2*w + 35 = c*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 35*m**2 - 76*m + 23. Give f(-37).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + 2*sqrt(1377))**2.\nAnswer: -108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y - 6*y**4 - 1 - 2*y + y with respect to y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31588668.\nAnswer: 2, 3, 877463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*x - 87*x - 209*x + 27*x.\nAnswer: -926*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - -30.28. Let u = 26.3 + 4.7. Let g = u - p. Which is the biggest value? (a) g (b) 0 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = -o + 1, -4*o + 20 = 0. Let k be 2*v\/4 - -2 - 2. Which is the nearest to k? (a) -2 (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + -1) + sqrt(136)\/sqrt(8)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/21 + -2 + (-333)\/(-189) + 4344\/56.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2904 divided by -7.\nAnswer: 2904\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (198 - 199 + 70*v**2 - 15*v**2 + v)*(-3*v + 4*v - 3*v - 5*v - 3*v + 6*v + (v + v - v)*(-4 + 3 - 1)) as i*v**3 + f*v + j*v**2 + h and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + k**3 - 116 + 216 - 90.\nAnswer: -k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**3 + 2*v**2 - v. Let m = -105 + 106. What is t(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9258265*b*f + 22602443*b + f wrt f?\nAnswer: 9258265*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, -3, 64321 in increasing order.\nAnswer: -9, -8, -3, 64321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (5 - 13 - 12) - -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*a - 23. Suppose -a*w - 5284003 = -4*f, 4*f - 225576 - 5058421 = -3*w. Let t = f + 579000. What is t rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - u + 25 = 0, 0*q - 4*q + 3*u = -21. What is the third derivative of -12*n**6 + 15*n**2 + n**6 + 4*n**q wrt n?\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - v. Let d(k) = k**3 + 8*k**2 + 3*k. Give -2*d(p) - 7*z(p).\nAnswer: -2*p**3 + 5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -79*c + 2*c. Which is smaller: 64\/23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 2207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -21 in increasing order.\nAnswer: -21, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-8 - -3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7622)\/(-412))\/((-11)\/154*(-35)\/10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 657574 + -2?\nAnswer: 657572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.002, -0.05, 0.01?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d**2 - d - 29. Let v(r) = 5*r**2 - 10. Give -6*c(o) + 17*v(o).\nAnswer: o**2 + 6*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6858 + 6861.6. Let v = 3 - 3.3. Sort 0, 2\/9, v, g in ascending order.\nAnswer: v, 0, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1813*g**2*j**2*k - 9*g**2*j**2 + 2*g**2*j*k - 3*j*k - 6760*k wrt j.\nAnswer: -3626*g**2*k - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 4*k + 0*k + (-5 + 2 + 1)*(-4*k + 6*k + k) + k - 1 + 1.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3516*f**3 - 4*f**2 - 6*f + 16. Let b be g(-8). Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084342 to 6 dps.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1))\/(1\/(-6)). Let h = x - -2. Let r = h - -7. What is the greatest common factor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibmzs. What is prob of sequence mi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186739.2 nanoseconds in hours?\nAnswer: 0.000000051872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 353 (base 11) to base 9\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(7) + 4.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -515.25 + 515. Which is the third smallest value? (a) r (b) -0.4 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (7 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7865951 by -462703.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1150437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than or equal to -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -164 - -2995755?\nAnswer: 2995591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9818, 19638, 29458, 39278, 49098, 58918?\nAnswer: 68738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 1, d: 3, v: 3, o: 5, q: 1}. What is prob of sequence odt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 10, 5*o + 7 = -2*s + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79443 (base 10) to base 9.\nAnswer: -130870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5091 and -449.\nAnswer: -2285859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 15. What is u(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 11*s**2 + 27*s**3 - 6*s**2 - 28*s**3 to r*s + c + q*s**3 + j*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 9\/2 (b) 1\/6 (c) 1\/4 (d) -2\/109 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -3\/7 (c) -193 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*d**2 + 34*d**2 - 48*d**2)*(2*d - d**2 - 2*d) as o*d**2 + f*d**3 + b*d + z + i*d**4 and give i.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 6*u. Let q(x) = x**3 + 9*x**2 + 7*x. Let f(b) = b**2 + b - 6. Let o be f(-5). Let p = 8 - o. Determine p*q(r) - 7*i(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-225) + (11\/(-5) - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z + 4*z**2 + 41*z - 6*z**2 + z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44548 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/294)\/(20\/(-1400)))\/(-5*(-2)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 11. Let j be f(-9). Suppose -4*i + 4 + 20 = 5*b, -5*b + 4*i = -j. Suppose 0 = -b*o + o + 45. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**2 - 2*z - 5\/6*z**3 + 0. Let t(m) be the second derivative of m**3\/6 - 3*m. Determine b(t(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/509 (b) 4 (c) 0 (d) 17 (e) 0.5 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2603630*t**3 - 1697254*t**2.\nAnswer: -15621780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2, 0, -0.05, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6345390*s + 6345388*s + 24 = 3*v, 0 = 22*s + 4*v - 380 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256 + -291. Let l = -488 + 955\/2. Find the common denominator of m\/(-21) - 38\/(-24) and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*m**4 + 10*m**3 - m**2 - 29106.\nAnswer: 112*m**3 + 30*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 20 = 6*x - 2*x, x - 3*c = 13. Let r(u) = 1 + x + 0*u + u - 3 - u**2. Suppose 3*o + 4 = -8. Let g(k) = -3*k**2 + 4*k - 3. Determine o*r(s) + g(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.94 - -0.26. Let m = -175.2 - -176. Let o = j + m. What is the second smallest value in 0.4, -0.03, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36684 is divided by 9148.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 6. Suppose -12 = f*k + k. Suppose -s - 10 = 3*t, 5*s - 4*t - 30 = 15. Put k, s, 2 in ascending order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57\/4 - -863\/60. What is the second smallest value in 4, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -65. Let o be (584\/949)\/((-20)\/(-26)). Put o, x, -4 in decreasing order.\nAnswer: o, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 43*h**2 + 3*h**3 + 38*h**2 - 83*h**2 in the form j*h**2 + f + p*h + t*h**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 divided by 1?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3812*a**2 + 1 + 1185*a**2 + 1313*a**2 + 1321*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 412 - 412. Suppose 9*i - 8505 = -m*i. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -2*l. Let c be ((-8000)\/l)\/(3 + -2). What is c rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -19. Let g(h) be the first derivative of -h + 0*h**q + 2\/3*h**3 + 1. Find the first derivative of g(l) wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27766 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*r - 79*r - 56*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**4\/24 + a**3\/3 + a**2. Suppose -13 = -3*g + 2. Give r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 + 27*j - 721. Give o(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdgd when four letters picked without replacement from {d: 2, g: 2, j: 5}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 l when three letters picked without replacement from {l: 1, r: 1, e: 3, y: 2, m: 5, c: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 96. Solve -v - 1 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/4 + 4749*b**3 - 123531*b**2\/2 + 261355*b - 1425675\/4 = 0.\nAnswer: -19009, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a + 540 = 59*a + 3*z, 4*z = a - 140. Solve a*t - 18 = 166*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010891032 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1341735256 to the nearest integer?\nAnswer: 36630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(22\/7)\/(x**6\/x*x))\/(x**20\/(x\/(x\/((x**(4\/3)\/x)\/x)))) assuming x is positive.\nAnswer: x**(-494\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 + (1 - 4) - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 40 + 18 + c**3 - 2*c**3.\nAnswer: -c**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 4*s**3 - 89 - 90 + 179.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:23 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -1\/2 in decreasing order.\nAnswer: 11, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -14?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/510 and 29\/2.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 103.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 734892 to the power of 1\/2, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/60 + s**4\/8 + s**3\/2 + 5*s**2. Let m(l) = -5 + l + 145*l**3 - 149*l**3 - 6*l. Give 5*j(i) + 3*m(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4201 + 1.4201. What is the smallest value in m, -12, 1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167739.9 + -167739.6680186. Let f = 12.232 + -12. Let y = f - b. What is y rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {e: 7, w: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -27, -35, -39, -39, -35?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -121*q - 255. What is the thousands digit of x(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11997, 1\/5, -0.4, -1 in decreasing order.\nAnswer: 1\/5, 0.11997, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-900) - (28\/98 + 2563\/(-126))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 232617?\nAnswer: -232619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 190512, 381022, 571532, 762042, 952552?\n\"Answer: 190510*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0) + 2 + (-28)\/(-7). Is 1538*(-2 + 15\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*n - 86. Let b = -5 + n. What is the nearest to 2\/7 in b, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)\/(d\/(d\/d**2)))\/((((d**(1\/7)*d)\/d)\/d)\/d)**(-32) assuming d is positive.\nAnswer: d**(-507\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17705, -35631, -53749, -72053, -90537, -109195, -128021, -147009?\n\"Answer: y**3 - 102*y**2 - 17627*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let g(r) = 4*r - 4. Give -3*g(o) - 14*y(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((5\/15)\/((-1)\/(-3))). Suppose -f - l = -s, -20 = 6*f - f. Solve -w = -s*w - 2*z + 16, 26 = 3*w + 4*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 4*g - 3. Let x(m) be the second derivative of -5*m**4\/12 - 5*m**3\/6 - 2*m**2 + 157*m - 3. Determine 2*x(a) - 3*y(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(264)*-2)\/(-6*sqrt(8)*2))\/(((sqrt(432)*1 - sqrt(432)) + sqrt(12))*2))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1888? (a) 1\/10 (b) -1\/2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(72\/(-81)) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 15*p + 21. What is s(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14309, -14281, -14253, -14225, -14197, -14169?\nAnswer: -14141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1937186228 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 105326210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h + 99595. Suppose -5*g + 12380 + 148020 = -5*d, -160407 = -5*g - 2*d. Suppose 4*b + h = -g. What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + u - 3604 = -3569, 4*y - 4*u = 40 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**3 - 12*c**2 + 4*c**2 - 21*c**3 in the form f*c**2 + r + g*c + i*c**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11228016211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(121) - sqrt(121))*-3*-2)\/(sqrt(1331)*4*4)*-4.\nAnswer: -6*sqrt(11)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -36. Let v be (-12)\/42 - o\/182. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 8:17 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k - 101*k = 184*k - 24923 + 7822 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 71*l**2 - 140*l + 428. Determine r(-73).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose -3*k + 10 = -2. Suppose 5*w - 1 = -4*z + 9, -4 = -c*w + k*z. Solve 0 = -5*i + 4*q + 29, 4*q - 8 = -w*i + 2*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662895.94525 less than 0.3?\nAnswer: -662895.64525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1219, -1198, -1195, -1204, -1219, -1234, -1243, -1240?\n\"Answer: a**3 - 15*a**2 + 59*a - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -8 (c) -3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 60*d**3 + 1127*d**2 + 1709*d - 984. Let h(c) = 21*c**3 + 375*c**2 + 570*c - 328. Let m(f) = -22*h(f) + 8*j(f). Factor m(q).\nAnswer: 2*(q + 2)*(q + 41)*(9*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + v + 16, 3*o + 2*v + 0*v = -23. Calculate the common denominator of -77\/6 and o\/(1323\/350)*(0 - -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a7a4 + -2?\nAnswer: -4a7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 0, -422*y = -425*y - 2*u - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 33 = m, -2*m + 7*d - 66 = 5*d. Sort -1, 1, m in descending order.\nAnswer: 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 2591132?\nAnswer: 12955660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060842360?\nAnswer: 2, 3, 5, 2029, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-11*(-112)\/(-3388))\/((-5)\/(-10)))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7856809 is divided by 1444.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4304 - 0.14.\nAnswer: -3.5704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -600, -1339, -2372?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6676.07169 rounded to the nearest ten?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 3. Let l(d) = d**3 + 2*d**2 + d - 2. What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -12, 7, -7, 24, 4 in ascending order.\nAnswer: -12, -7, -2, 1, 4, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, o: 3}. What is prob of sequence oonn?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96781 at most as big as 96481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 4*p, -l - 4*p = 32. Let d(o) = o**3 + 15*o**2 - 20*o + 17. What is the tens digit of d(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 * 164.1747.\nAnswer: 7880.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7425793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 + 13*u**4\/4 + 15*u**3\/2 + 8*u**2 + 4*u + 3\/4.\nAnswer: (u + 1)**3*(u + 3)*(2*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 164*x**2 - 160*x.\nAnswer: -4*x*(x - 40)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 2, v: 3, i: 6}. Give prob of picking 3 i and 1 q.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/25 and -32\/1155.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*l + 33 - 13, 2*l - 15 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-220)\/77)\/((-2)\/7). Is l <= 48\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/11, 0.1, -5, 0.22 in ascending order.\nAnswer: -5, 0.1, 0.22, 3\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 931324*a**3 - 7*a**2 - 28198*a wrt a.\nAnswer: 5587944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -389 - -392. Suppose -4*i - 4*h + 24668 = 0, 0 = -5*i + 7*h - u*h + 30799. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.7 * -52412.\nAnswer: 1137340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21442308 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2590 divide 129805620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -9*h - 3\/4*h**2 + 1\/2*h**3 - 65. Solve k(c) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 2}. Give prob of picking 1 y and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 54 = 7*d. Suppose -17168 = -d*x + 62172. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 + 0*v**2 + 0*v**2)*(83*v**2 + 13*v**2 + 28*v**2 - 9*v) as j*v**4 + n*v + g*v**2 + k + m*v**3 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3948 and (-1)\/(-1)*3*(37 - 30).\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 13*q - 15. Let v(t) = t**3 + 3*t**2 + t + 4. What is v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -26*k**2. Let f(x) = x**2 - 3*x + 2. Let i be f(3). Let v(c) = 0 + 9*c**2 + 0 - 7*c**i. Give v(b(u)).\nAnswer: 1352*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6697771, 4, -4, 2.\nAnswer: -6697771, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470588 (base 10) in base 15?\nAnswer: -1e0ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/819 - (-960)\/(-1911))*56\/(-2).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 10, u: 1}. Give prob of sequence sa.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 135.63 and -0.4?\nAnswer: 136.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52951\/4 + 13237. Sort -2\/7, u, -48.\nAnswer: -48, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let g(a) = a**2 - 2*a + 1. Let d be (2\/(-3))\/(-2 + 112\/60). What is d*m(r) + 2*g(r)?\nAnswer: 2*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35538241*-2\nAnswer: -71076482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.04, -4, -2\/3, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.29 from -539954.229739.\nAnswer: -539953.939739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 + -246. Let a = i - -62.08. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqqaa. What is prob of picking 1 q and 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1*2))\/((-11)\/44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3067190*m*q**3 - 8345852*q**3 with respect to m.\nAnswer: 3067190*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 3, a: 5, h: 1}. What is prob of sequence hp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f**(-12)\/f))*f)\/f)\/f*f**(1\/24)\/f)\/((f**(4\/7)\/f)\/f*f\/f**2) assuming f is positive.\nAnswer: f**(-1937\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/147 - (-25 + 2)*(-2993)\/(-7).\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-142)\/213)\/((-4)\/(-6)))\/(-10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-1 - (-8 + 7 + -5)). Let n(u) = 4023*u + 13. Is n(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*(-7 + 21). Suppose g*u - 15*u + 179 = 0. Let l = 641 + -611. What is the remainder when u is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 - 2*s - 1. Let r(h) = 25*h**3 - 7*h**2 - 8*h + 2. Give -4*q(a) + r(a).\nAnswer: 29*a**3 - 11*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 27*p - 203. What is m(10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6911*t - 6906*t + 9 = 4*b, -2*b - 4*t - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -x + 24, -3*x - 4231 = -4*z - 4193 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by -435.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.2. Which is the closest to 0? (a) -0.2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7 + -2368193.1.\nAnswer: -2368212.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, s: 1, f: 4}. Give prob of picking 2 q, 1 f, and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0.1, 15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 - 104 - (17 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*c + 5 - 111*c - 3)*(-3*c**2 + 6*c**2 + 0*c**2) to the form l*c**2 + z*c**3 + w*c + n and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -47, -35, -29, -35, -59?\n\"Answer: -a**3 + 6*a**2 + a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-2)*36\/42. Suppose 11*n - 14*n + 84 = -y*i, 4*n - 2*i - 102 = 0. Solve -3*t = -8 + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4\/6)\/(263 - 260)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 412 = k, -5*k - 53*m + 54*m + 2104 = 0. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360728*l*p**3 + 3*l*p**2 + 2*l*p + l - 7*p**2 - 2317*p wrt p?\nAnswer: -2164368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cc6 - 1?\nAnswer: 4cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 473403*g + 87004584.\nAnswer: 3*(g + 184)*(g + 157617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144.5 - -142.5. Suppose 9*p - 12*p - 15 = 0. Let w = 77\/4 + -19. What is the closest to 0 in w, t, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13609366 or 13609354?\nAnswer: 13609366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - y + 9 = 48, y = 5*o - 65. Suppose 3*i - 5 - o = 0. Calculate the least common multiple of 1 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + q = -79, -2*j - 5*q + 62 + 5 = 0. Suppose -3*h = -4*r + 87, 0 = 4*r + 14*h - 11*h - 105. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -9\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 749 = 1523 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147411*o**2 + 0*o - 147408*o**2 + 0*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0)**(2\/11) assuming n is positive.\nAnswer: n**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76975002 to the nearest integer?\nAnswer: 8774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4276)\/(-84) + -52 - (-5)\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3 = 3*k, -2*j - 3*k + 9 = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655 + 685. Suppose -w = 2*w, 280 = -4*y - 2*w. Let s be (-34)\/(-14) + h\/y. Solve -n + 6*a - 11 = s*a, 5*n - 5*a + 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (48\/10)\/(2*(-5)\/(-50)) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*s**4 - 33*s - 37*s**2 + 110*s**2 - 33*s**2 - 39*s**2 to the form q*s + w + o*s**2 + j*s**3 + z*s**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o - 6*o - 6 - 2*o. Let c be i(-3). Suppose 2*w + c = 17. What is the remainder when 26 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 38 = 2*l + p, -4*p - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458432 and 4524.\nAnswer: 1375296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8611\/54320 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 23*m - 11 + 98. Let b(r) be the first derivative of -r**2\/2 + 3*r + 1. What is b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*(162 + 1). Let v = 34 - 129. Let b = o + v. What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25621395?\nAnswer: 3, 5, 1187, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**8\/6720 + a**7\/504 - a**6\/144 - a**5\/60 - a**4\/2 + a. Let m(h) be the third derivative of k(h). Determine m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78573 (base 13) to base 5.\nAnswer: 23442232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -638356*c**2*y**2 - 16*c**2*y - 645*c**2 - 2*c*y**2 + c*y + y - 1 wrt y?\nAnswer: -1276712*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 16) to base 13.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1697 divide 62977367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s - 12. Let d(q) = -q**2 - 4*q + 1. What is d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789780691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1\/7 (c) 31\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1690*a + 0*a**3 + 2*a**3 + 1703*a + 5*a**2 + 6*a**2 to the form i*a**2 + h*a**3 + t*a + m and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 16 - c + c - 4 in the form b*c**2 + u + w*c and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 19 = -q, 2 = 5*c - 4*q - 39. Suppose 3*y + 2 + 52 = 0. Let t be (-1 - 3\/(-2)) + y\/12. What is the second biggest value in 2, c, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -50*g - 70. Calculate j(1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 648?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456281728 and 1288?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 1, e: 1, d: 1, k: 1, f: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + 1022211?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -c, 16*k - 11*k - 3*c - 20 = 0. Find the second derivative of -12*g**3 - 5*g**4 + 225*g + 6*g**3 - g**4 - 5*g**4 + k*g**3 wrt g.\nAnswer: -132*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*p - 21 = -15, 5 = 4*k - 4*k - 5*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-2 - -10)*-1. Suppose 4*p - d*p = -27. What is the greatest common factor of p and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -993 (base 10) to base 13\nAnswer: -5b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389610 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578 + ((-268)\/(-92) - (-28)\/322)?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:26 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 8*h**2 + 7*h - 3. Let l be b(7). Let a be (2 + 7)*(-6 + l). What is the units digit of 166\/18 + 18\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 72*d**2 + 5. Let r(b) = 129*b**2 + 9. Let v(a) = -5*r(a) + 9*w(a). Let n(g) be the first derivative of 9*g**2\/2 + 2. Determine v(n(s)).\nAnswer: 243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 71.9. Let s = 0.1 + d. Let m = 0.1 - 0.3. Which is the third biggest value? (a) s (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2133705*j**3*k**2*r**3 - 20*j**3*k - j**2*k - 20*j*k**2 + j*k*r**2 + 2*k*r wrt r?\nAnswer: -12802230*j**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11610 = -2*x, -7903 = -4*x - g + 15321. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245) + sqrt(245) + 5)*-5)**2.\nAnswer: 2800*sqrt(5) + 24900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccr when four letters picked without replacement from rrrrcvrrcrrvgcrrgrc.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 693569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 4*m - 7020 = 0. Let l = m - -854. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 141, 211, 281, 351, 421?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b - 8*b - 5*b - 10*b as k*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 - 2*u + 5. Let b be m(-3). Suppose 7*t - 2*t - 85 = 2*o, 0 = -t + b*o + 17. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395*f**2*g**2*y - 39*f**2*g**2 - f**2*y**3 + 2*f*g**2 with respect to y.\nAnswer: 395*f**2*g**2 - 3*f**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**2\/2 - 2*y - 30802. Suppose 4*t = 3*t - 4. Calculate k(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 11*t. Let m be y(5). Suppose -5*j - l + 15 + 7 = 0, 0 = -3*j + 2*l + 21. Sort m, j, -4 in decreasing order.\nAnswer: j, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1444392 and -71\/5296104.\nAnswer: 15888312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35516*w**5 + w**3 + 42527*w**2?\nAnswer: 2130960*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42404 (base 7) to base 2.\nAnswer: -10100011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/2394)\/(11 + 310\/(-30))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1668, -3570, -5734, -8160, -10848?\nAnswer: -13798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 = 57. Calculate the greatest common factor of 80 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**4 - 595200*w**3 - 82674556*w**2 - 2830485840*w + 2913755600 = 0.\nAnswer: -148661, -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 51867 = 4*b, 8232 = -3*b - 4*z - 30668. Let q = -38368 - b. Round q to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose 0 = 5*c - 3*a - 657, 0 = -c - k*a + 159 - 50. Let v = c - 84. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**3 + 21*b + 51. Does 50 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135176620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -781b61c - -4?\nAnswer: -781b618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/306)*(-308)\/924?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847539 is divided by 3996.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 0. Is x equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**6\/2 + 33*c**5\/5 - 69*c**4\/2 + 90*c**3 - 243*c**2\/2 + 81*c + 669. Factor o(i).\nAnswer: -3*(i - 3)**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136617.\nAnswer: 3, 13, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.81574 and -79.\nAnswer: -1565.44346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147651 + -147648. Factor 3\/5*w**4 + 0*w - 21\/5*w**c + 0 - 18*w**2.\nAnswer: 3*w**2*(w - 10)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286567000 to the nearest one million.\nAnswer: 287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*19\/6498*306?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 19*q**2 - 39*q + 16. Give c(-21).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = -0*k. Let p = k - 9. Let u(x) = 3*x - p*x + 4*x. Let y(m) = -m. Determine u(y(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4\/5 - 72*n**3\/5 - 429*n**2\/5 + 72*n\/5 + 432\/5 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 351*g\/2 + 41067\/4.\nAnswer: 3*(g - 117)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1 (c) 63\/79 (d) -7\/6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + 36.36. Round x to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1246\/13 - 96. Let x = -135 + 134. Let v = -0.13 + -4.87. What is the nearest to -1\/2 in c, v, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/5 - 677*f**3\/5 + 19599*f**2\/5 - 99207*f\/5 + 27918 = 0. Calculate f.\nAnswer: -705, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/16)\/(y*y**13))\/(y**(-3\/10)*y**(-6\/13)) assuming y is positive.\nAnswer: y**(-13703\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cggcccggvgcv. What is prob of picking 2 g and 1 c?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = 2*g + 3*u, -2*g + 8 = -u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 3 - 9*i**2 + 146*i**4 - 138*i**4 - 8*i + 11*i**2 in the form c*i**2 + k*i + n*i**4 + p*i**3 + r and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**34\/(v*v**(2\/35)))\/((v\/(v\/v**14))\/(v**(5\/12)\/v*v)) assuming v is positive.\nAnswer: v**(8131\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 26*p - 21*p. Suppose 23*l - 48 = p*l. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - 86. Let s be (-54)\/((-628)\/a + -4). Suppose -8*i = -0*i - s. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 6. Solve 0 = -o*u - 3*b + b - 7, -3*b = 4*u + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*b - 172*b + 29701 - 10276 = 0 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, g: 3, z: 3, r: 1, e: 1, n: 1}. What is prob of picking 1 g and 2 z?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42688053 and 3159?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 6. Let t = 100332 - 100337. What is the closest to 0.1 in 2.3, 3, t, y?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*r + 29 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/45)\/(1\/40). Is 4*-4*3\/w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 3*q = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m**2 - m + 2. Let q(y) = -2*y**3 + y**2 - 19*y + 4. Let s(r) = q(r) - 3*t(r). Give s(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/71759 - 142915\/43270677. Let w(n) = n**2 + 3*n - 4. Let y be w(-4). Is i bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21202130 (base 4) to base 7\nAnswer: 221621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (-2*sqrt(91) + sqrt(91))*-4 + sqrt(91))\/(-3*sqrt(343)).\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n**3 - 34*n**4 - 686*n**5 + 685*n**5 - 11*n**4 = 0. What is n?\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 4. Let c be d(-6). Let a be (-20)\/11 - c\/(-11). Is 3\/((-12)\/(-572)) - a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -94 + 73 + -46?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 60678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(96) - (sqrt(96) + sqrt(96)*2*3)))\/(5*(sqrt(50) + (2*sqrt(50) - sqrt(50))) + sqrt(100)\/sqrt(2)*6) + 2)**2.\nAnswer: -24*sqrt(3)\/5 + 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 178.6642137us?\nAnswer: 0.00000000029541040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by 4\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3216\/(-4) + 4)*23250. Round v to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15418575 - -121151?\nAnswer: -15297424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 2, -17, 6, 20 in decreasing order.\nAnswer: 20, 6, 2, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 18. Suppose 0 = -c + j*i - 2*i - 15, -185 = 4*c + 5*i. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 10. Let a be (-2 + -4)*21\/(-7). Let z = -26 + a. Let o be k(z). Let g(x) = -6*x**2 - 11*x. Let r(s) = -s**2 - 2*s. Determine o*g(h) - 33*r(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/35 in -0.1, -4, 10\/7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**6*m*m**(-7))**(-37)\/(m**2\/(m*(m*m*m*m**6\/m*m*m)\/m))**(-1\/3) assuming m is positive.\nAnswer: m**(1102\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2320 and 35300.\nAnswer: 4094800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 25*h**2 + 179*h - 76. What is j(-8)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15281*g - 993521. Give t(-65).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18283545 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o + 5*w = -21, 3*o - w = 12. Suppose 4 = 2*x, -4*l - o*x + 18 = -l. Suppose -5 = 5*i + 2*s, 14 = -2*i + 5*s + 41. Solve -3*y - l + i = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-552)\/(-35) + 1 + (-5)\/25. Which is bigger: a or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176500629 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*m = 2*m - 8, 4*l - 5*m = -28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1385271*t*w**2 + w**2 - 157251*w wrt t.\nAnswer: 1385271*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.025 + -3.975. Which is the nearest to -5? (a) 0.1 (b) -4\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 51*u**5 + 11010*u**4 + 163995*u**3 + 400080*u**2 + 215844*u - 31200 = 0. Calculate u.\nAnswer: -200, -13, -2, -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-13 - -21)) + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17205 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105516 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131449?\nAnswer: 131449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -18. Suppose 0*i = -3*i + 5*j - 4, -4*j = -r. Let a = -3 + i. Which is bigger: a or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12458317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -34.8. Let x = -40.4 - -6.4. Let s = p - x. What is the smallest value in s, 2, 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l + 2*l**2 - l**4)*((2 + 1 - 2)*(-1 + 0 + 3) + 3 - 2 + 0).\nAnswer: -3*l**4 - 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 10. Let q = j + -18. What is the second biggest value in -1\/5, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -783, -1563, -2337, -3105, -3867?\nAnswer: -4623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49460950 by -638.\nAnswer: 77525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**2 + 852*l + 2080.\nAnswer: 4*(l + 40)*(5*l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692946794?\nAnswer: 2, 71, 167, 29221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -620784 divided by 11496\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*f + 4, 0 = 2*r - f - 4*f - 36. Suppose -r = -t - j, t - 2*j = -t + 16. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/33)\/((-12)\/849402) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 36*i**3 + 53*i**2 + 158*i + 9. Determine n(-3).\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 240 = -300. Calculate the highest common divisor of 90 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204a9b + -5?\nAnswer: -204aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 68 (c) 5.6 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2418.1099 - -2418. Let w = 0.0099 + z. What is the nearest to w in 2, 0.3, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 - -43. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175 + 77 - 77)*(w - w**4 - w).\nAnswer: 175*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m*m**5)*m**(-3\/4)*(m\/(m\/(m*m**(-7)*m*m*m))*m*m*m*m)\/m**(-5))**19 assuming m is positive.\nAnswer: m**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -11. Suppose 4*r - 5*u = -10*u - 13, -2*u = -4*r + m. Suppose r*s = -0*s. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442145 + -4184?\nAnswer: -4183.9557855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 12*a - 13. Let q be m(-10). Let b = q - 14. Let g = b - -12. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10)*(-1 + 3). Let z = 5.5 - 3.5. Let x = 1 - 2. What is the biggest value in z, c, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2386*a + 160 - 160 + 2343*a.\nAnswer: -43*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 709 + -709. Which is the closest to 1? (a) -12\/7 (b) s (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let j(t) = -t**3 + 9*t**2 + 10*t + 3. Let x be j(10). Let z(f) = f + 3. What is the smallest common multiple of b and z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 3*l**5\/5 + 7*l**4\/2 - 109*l**3 + 363. What is the third derivative of m(u) wrt u?\nAnswer: 72*u + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/3)\/((-2)\/(-15)). Does 7 divide 1 + -2 + 0 + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*m + 69, -19 = -4*m - 3*j + 84. Let k(o) = -o**3 + 24*o**2 - 45*o + 19. Let c be k(m). What is the smallest value in c, 0.9, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16976*v + 19317*v + 48191 = -115252 - 58952 for v.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -205524 rounded to the nearest one thousand?\nAnswer: -206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48541 (base 10) in base 14?\nAnswer: -13993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + 2295.8679.\nAnswer: 2388.8679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 4. Let c(n) = 7*n - 8. Let u(r) = -6*c(r) - 11*l(r). Let d be u(-7). Is d\/(-40) + 1462\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1186, 1188, 1190?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 + 3*b**2 - b**2 + (3*b - b - 3*b)*(-4*b + b + 5*b))*(0 - 3*b + b + 2).\nAnswer: -14*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -110. Which is the closest to p? (a) 5 (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/12 and 4 + -2 - 1112\/96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 13. Let j be y(-9). Suppose -56 - 114 = -j*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3975*c - 9721*c - 6983*c as k + q*c and give q.\nAnswer: -20679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, h: 2, k: 1, b: 3, u: 3, z: 3}. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 8*z**2 - 12*z + 8. Give o(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -649*u**3\/3 + 19*u**2\/2 + 1436. What is the second derivative of d(b) wrt b?\nAnswer: -1298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587216.71 rounded to the nearest one hundred?\nAnswer: -587200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1111110010001 (base 2) to base 3\nAnswer: -102002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 + 2. Let c be y(-4). Let w = 3 - 1. Find the third derivative of -c*p**6 + 3*p**6 + p**2 + 0*p**w wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737599*-5\nAnswer: 3687995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 502 + -502.1. Let z(j) = -2*j + 41. Let y be z(18). What is the second biggest value in y, -4\/3, -4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 364809798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5950657 (base 10) to base 3.\nAnswer: 102012022202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.0350619.\nAnswer: -0.2454333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504, -947, -1390, -1833?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(2*i**2 - 6*i**2 - 2*i**2) + 702*i**2 - 2179*i**2 + 1072*i**2.\nAnswer: -393*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 25*s**2 + 43*s - 66. Let o be v(-23). Solve 2 + 1 = 5*p + 4*a, a = -o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6823864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r - 3. What is the units digit of k(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 5, c: 5}. What is prob of sequence vvcv?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 - x**2 - 4*x - 3. Let r = -226 - -101. Let o = 123 + r. Determine g(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(18)\/sqrt(6) - 3*(-1 + sqrt(3))))**2.\nAnswer: -48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 48. Let r be -2 - 1*(-8)\/6. Let g be 2*-1 + 0 + 1. Which is the closest to g? (a) s (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 8*f - 3. Let z(d) = -5*d**3 + 67*d**2 + 16*d + 6. Calculate 2*q(n) + z(n).\nAnswer: -3*n**3 + 67*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1590 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -41.17. Let i = u + 0.17044. What is i rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -5*g**4\/4 - g**2\/2 + 4*g + 33. Find the second derivative of r(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) -4\/3 (c) -3\/5 (d) -2 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68 - 2*z**2 + 8*z**6 + 5*z**2 + z**6 + 67 - z**3 wrt z?\nAnswer: 1080*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(612) + -2) + ((sqrt(612) - 1*sqrt(612))*-5 - ((sqrt(612)*2 + sqrt(612))*1 - sqrt(612) - sqrt(612))))**2.\nAnswer: -504*sqrt(17) + 30024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22538 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 30 = 2*z, 3*f + 5*z - 25 = -1 + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29682269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15112939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 533 + -5?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, s: 6, l: 6, b: 1}. What is prob of picking 1 l, 1 z, and 1 b?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 56\/(-35) - (-4 - 22\/(-5)). Solve 22*f - 25 = 23*f - 5*l, -c = -l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*s**2 + 3*s**4 - 6*s - 1 + 50*s**2 in the form o*s**4 + d*s**2 + n*s**3 + i*s + b and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/42 - 286\/(-6). What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2321333 - 313?\nAnswer: 2321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2598 + 4677. Is a a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -81 + (-397 - -453)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 10. Let c = 40209393 - 40209396.9999998. Let v = c - t. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818 + 4 + 6 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v = -172 - 38. Let p(m) = -m**3 + 2*m**2 - 3*m + 17. What are the prime factors of p(v)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:03 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.009 - -0.009. Let i = 4.48 + d. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 - g - 10. Let d be k(-4). Find the second derivative of 21 - 3*s - 36 - 83*s**4 - s + d wrt s.\nAnswer: -996*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136016584 by 54934.\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 865*q**3 + 819*q wrt q.\nAnswer: 5190*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128063 is divided by 1970?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s**3 - s**2 - 79*s - 6225.\nAnswer: -36*s**2 - 2*s - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(72)\/(sqrt(48)\/sqrt(4))) - sqrt(30)\/(sqrt(96)*-1).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 - 249429*b**2\/7 - 15554579475*b\/7 - 15552833521.\nAnswer: -(b + 7)*(b + 124711)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkkkkpppppkkpkp. Give prob of picking 2 p and 1 k.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 11. Let g = 2521 - 1233. Suppose 27*q - g = m*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/434 and -25\/248?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 201. What is the highest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - ((6 - 17) + 7)) + (148 - 65)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2332, -4 in decreasing order.\nAnswer: 2332, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 7*q**2 - 7*q - 1. Let b be j(-6). Let s = 426 - 231. Suppose 5*v - x = s, -2*v + b*v - x - 119 = 0. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*p - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*j + 4*c - 18, 3*j - 12 = -c. Suppose 0 = -5*t - 5, -j*t - 32 + 121 = d. Suppose w = 2*b - w - d, 0 = b - 5*w - 66. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/2)*i*i*i*i)\/(i\/(i*i**(-3\/2))))\/((i*i**(-1\/2))\/i)**30 assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 - (-66)\/(-12). Let h(n) = -2*n**3 - 4*n**2 - n. Let p(i) = -7*i**3 + 4*i**3 - 2*i**3 + 0*i**3 - i - 9*i**2. Determine r*p(j) + 9*h(j).\nAnswer: 2*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-7))\/(y\/y**(-4\/5)))\/(y*y**(2\/7))**(-1\/19))\/(y**(-1)*y**(-6)*y*y**(-2\/9)*y*y**(-1)\/y) assuming y is positive.\nAnswer: y**(80737\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 842*p**3 - 2*p**2 + 1. Suppose -4*t - 8 + 12 = 0. Is h(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(768\/(-44)) - (-3)\/(-3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/4 - p**3 + 3*p**2\/2 - p + 1. Let y be r(-4). Sort 0, y, 5.\nAnswer: 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1*-2*(-4)\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 10865*b**4\/2 - 5347567*b**3\/2 - 379810531*b**2\/2 - 311913227*b\/2 + 31280298 = 0 for b.\nAnswer: -863, -84, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 264*b + 3112. Let n be a(14). Let 1\/3*i**n - i**3 + 2\/3*i + 1\/3*i**5 - 1\/3*i**2 + 0 = 0. Calculate i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2814, 2663, 2410, 2055, 1598?\n\"Answer: -51*h**2 + 2*h + 2863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 25*a**2 - 21*a + 59. Determine g(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 11234?\nAnswer: 11243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 7*d + 7*d)*(0 + 1 + 1)*(3 - 1 + 1).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -11, -19, -27, -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u. Let m be 4\/18 + 64\/36. Let p(d) = 3*d + m*d - 6*d. What is i(p(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.015 * 0.2.\nAnswer: -1.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 258 = 60. Suppose -46*w + 200*w = -329*w + 111573. What is the greatest common factor of t and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/21)\/(64\/288)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/(2*(-140)\/(-100))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79506585 + -79506566.0000002. Let i = -19 + p. What is i rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 1, h: 1, q: 1, u: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 6.578.\nAnswer: -65.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by 83.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8123*r**2 - 3*r. Let q be o(2). Let g be q + (4\/(-2) - 0). Let u = g - 22184. What is u rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 - 1)*(-10*w - 2*w - w).\nAnswer: 156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24260997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*a + 1 + 12 = 0, 2*a = -5*q + 7. Let g be 4\/16*14 - (-3)\/(-6). Factor -g*r + 0*r**3 + 18*r + 3*r + 2*r**q + 12*r**2.\nAnswer: 2*r*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2451, -4905, -7359?\n\"Answer: -2454*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 24*g - w - 12539 = 0, -w + 6271 = g. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -10119?\nAnswer: 17\/10119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007156525799 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from ouuooof?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -39.9. Let j = s - -0.85. What is j rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -290, -2 in ascending order.\nAnswer: -290, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 1, w: 6, j: 1, m: 2, k: 2}. What is prob of sequence bjwk?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100851 is divided by 857.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**7\/525 - 2*g**6\/75 - 17*g**2 - 2*g - 187. Let u(z) be the second derivative of k(z). Let u(l) = 0. Calculate l.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9\/5)\/(c*c*c**9*c))\/(c\/(c\/(c*c**6))*c)**(4\/5))**(4\/9) assuming c is positive.\nAnswer: c**(-404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 1584*v - 4. Let a(m) = -3*m - 1. What is -5*a(l) + k(l)?\nAnswer: 3*l**2 + 1599*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3\/8)\/(a\/(a*a\/(a*a\/a**(-6\/5)))))\/((a\/a**(1\/3))\/a**(-9)))**(-1\/59))**(6\/5) assuming a is positive.\nAnswer: a**(1469\/5900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (402 + 15*k - 402)*(-1 - 5 + 4)*(-13 - 2 + 1)*((-1 + 0 - 1)*(-4*k + 4*k + 2*k) + 2 - 2 + k - k + 3*k + 0*k) to r + w*k**2 + t*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -4 - -1*663\/169. What is the closest to c in 12, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87\/696*(-8)\/1. Which is smaller: 5\/174 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155 and 187740245.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.011483 and 27.250703.\nAnswer: 27.262186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 513317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 4*g + 16. Suppose -4*q + 5*t + 75 = q, 5*q + g*t = 93. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.244, 13, -1\/3, -59, -2 in descending order.\nAnswer: 13, 0.244, -1\/3, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45776 (base 14) to base 16\nAnswer: 2939c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5*k - 2*g**4*k - 45*g**2 + g*k - 3*g + 16*k wrt g.\nAnswer: -40*g**3*k - 24*g**2*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 842968 (base 10) to base 7\nAnswer: 10110430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*t**2 - 2550*t**2 + 3349*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.239 - -0.439. Suppose -3*t - 92 = -5*t. Suppose t = -2*f - 5*l, -2*l = -2 + 6. Which is the closest to f? (a) -4 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -w - 49, 0 = 5*p - 2*w - 2*w - 118. Which is greater: 24 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-20) - 17\/(-4). Suppose -3*a - 4*w = -33, 4*w = -i*a + 71 - 23. Suppose a = f - 0. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1*(2 - 3)). What is the third derivative of 20*g**6 - 30*g**6 + 49*g - 32*g**6 - 51*g - 20*g**v wrt g?\nAnswer: -5040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*h + 3*n - 4*n, 0 = h + n + 8. Let i be (-238 - 7) + 3 + h + 1. Is i at most -244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + ((sqrt(448) + (sqrt(448) - -3*sqrt(448)) + sqrt(448))\/sqrt(8) - sqrt(56)))\/sqrt(8).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -216*x + 520. What are the prime factors of b(-12)?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86718 - 85064 + 0*i**3 + 2*i**3.\nAnswer: 2*i**3 + 1654","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(-204)*8075\/(-11400)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -852 + 267. Let s = b - -1000. Suppose -6*i + i + s = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32890924 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + w**2 + 2*w + 6*w - 3*w - 11*w**3. Let o be v(-1). Let a(u) = 2*u - 15. Let k(t) = t - 8. What is o*k(r) - 6*a(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82492 is divided by 2241.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292.615*-0.5.\nAnswer: -146.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 2010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*b**3 + 567*b**2 - 567*b**2 - 2*b**3 + b**3 - b**3 + (5 + b - 5)*(-2*b**2 + 0*b**2 + 0*b**2) - 4*b**3 + 0 - 2 + b**3.\nAnswer: 77*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -52077.12 to the nearest 100.\nAnswer: -52100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/72*8\/(-20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40236569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i - 6. Suppose 5*w = 2*j - 89, -5*w - 152 + 42 = 5*j. Let f = -14 - w. What is b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 14*w + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let d(s) = 15074*s. Determine b(d(j)).\nAnswer: 227225476*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*p + 21 = -0*m, -4*m = 5*p - 24. Let c be (16 + m - 3)\/(8\/32). What is the third derivative of -8*h**3 + 3 + 14*h**2 + c*h**3 - 13*h**2 wrt h?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (-5 + (sqrt(200) - (sqrt(200) + (sqrt(200) - sqrt(200)*-1))))**2 + sqrt(200) - (sqrt(18)*-1 + 6*sqrt(8)\/sqrt(4)))*-5.\nAnswer: -4125 - 1085*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 988381, 988622, 988863, 989104, 989345, 989586?\n\"Answer: 241*c + 988140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-1\/3)))**(-16)*(k**(-1\/2))**(21\/2) assuming k is positive.\nAnswer: k**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k\/k**(1\/5))\/k)))\/(k**(-31)\/k)*k**(-11\/6)*k**(-7) assuming k is positive.\nAnswer: k**(719\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-77)\/(-88)*28*4\/14. Solve 0 = -v*q + 4*q - y, -3*q - 4*y + 9 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**9\/1008 + p**7\/280 - 67*p**3\/6 - p**2 + 5. Let h(z) be the first derivative of s(z). Factor h(t).\nAnswer: -3*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:28 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2750, 2793, 2848, 2915, 2994?\n\"Answer: 6*s**2 + 25*s + 2719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 25. Let a be k(-8). Suppose y + 3*y = -4. Let r = 3 - y. Sort a, -5, r in descending order.\nAnswer: r, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 + 3*s. Let p(j) = 2*j**3 + 5*j**2 - 5*j. Let u(w) = -4*w**2 - w. Suppose -4*q + 3 - 7 = 0. Let c be u(q). Calculate c*p(a) - 5*x(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -253 divided by -1883991\nAnswer: 253\/1883991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -502200 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from yyynwyycwwiw?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 251 + 117 = 0. Let h = k + -9. Let a = h + -46. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnfnfnn. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 12*c**2 - c + 4. What is n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 11, -21, 4, 5 in ascending order.\nAnswer: -21, -8, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 + 11. Let o(i) = 2*i**2 + 3. Let k(j) = 22*o(j) - 6*p(j). Let h(n) = -162*n. What is k(h(y))?\nAnswer: 52488*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 248168483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -5*t, 0 = t + 2*f - 1 - 4. Suppose -11 = -3*n + t. Solve -z - a - 20 = n*z, 8 = -2*z + 3*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24563 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030440 is divided by 1564.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:24 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 43 = 18, y = -5*l + 44. Suppose y*a = 18 + 20. Suppose 4*v + 19 = -1. What is the closest to a in 0.5, v, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 - 250 = b + 4*x, 2*b = -2*x - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/(-70)*(-30)\/(-186))\/(4\/28)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1839 - 144.4?\nAnswer: -144.5839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:18 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2111124 divided by 6\nAnswer: 351854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13930 is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d - 36?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 14) + -1 + 4. Let u be (-2)\/b + (-126)\/(-70). Suppose 4*l = -6*f + 3*f + 90, 4*l + u*f - 92 = 0. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282.454954 - -7.\nAnswer: 289.454954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 0.4 (c) 18.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1641*d - 3186*d = -1634*d - 7832 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6773, -13540, -20305, -27068, -33829, -40588, -47345?\nAnswer: -54100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -102. Suppose 0 = -l + 2*z + 15, -3*z = -0*z - 3. Calculate the greatest common factor of c and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2. Let q be a(-1). Let j = -72 + 71. Let z be 3\/6*(-12 - 2\/j). Sort -4, q, z in descending order.\nAnswer: q, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osjh when four letters picked without replacement from {o: 8, j: 2, s: 1, h: 2}?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.402 - 0.098. Which is the second biggest value? (a) 0 (b) x (c) -2 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26920 = 26920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -212*x**2 + 767*x - 767*x + 14*x**2. Let m(i) = 2*i. Calculate o(m(j)).\nAnswer: -792*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*r + 33 + 1126*r - 53 + 20.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 - 13*w + 50. Let z be i(3). Suppose 3*r - 3*h = 1368, 2*h = z*r - 3*r + 465. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196331 + 0.4?\nAnswer: 196331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 - 2*q. Let h(k) = -7*k**2. What is f(h(x))?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 135 = -5*u, -103 = 3*u - 4*m - m. Let h = -11 + 14. Let t be (0 - u\/(-10)) + h. Sort 5, t, -4\/9.\nAnswer: -4\/9, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, -0.11, -3708910?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2835, -4, 11 in increasing order.\nAnswer: -2835, -4, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24542*k**3 - 11794*k**3 - 12068*k**3.\nAnswer: 680*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2 + (-105)\/(-21). Factor -21 + 9*j**2 - 9*j**4 + 21 + 3*j**3 - o*j + 3*j**5.\nAnswer: 3*j*(j - 2)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68165, 136369, 204573?\n\"Answer: 68204*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 4*l - 7. Let y be p(3). Let t be (16\/y)\/((-4)\/50). Solve -t*h - 30 = -5*d - 0*h, -5*h = 2*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Solve q = 5*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 3*c. Let t be (-10)\/2*1*c. Suppose u - 4 = -b + 20, -3*b + t*u = -32. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 128, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:19 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 52399*x + 2. Let c(h) = -h. Let v(m) = -3*c(m) + i(m). Let n be v(-1). Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1083912 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4876404 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -123, -124, -125, -126, -127?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4413 is divided by 2076.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*h**2*m**3 + h**2*m**2*r - 3*h**2*r - 1747*h*m**3*r + 9*h*m + 12186*m**2 wrt m?\nAnswer: 906*h**2 - 10482*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5589?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r**2 + 18. Let n(b) = -12*b**2 - b - 16. Calculate -5*f(a) - 6*n(a).\nAnswer: -3*a**2 + 6*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 + 0 = -3*q, 4*u = 3*q + 12. Let f(y) be the second derivative of 0 + y - 3*y**u - 1\/2*y**4 - 1\/30*y**5 - 9*y**2. Factor f(r).\nAnswer: -2*(r + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*f = -9, -v - 5*f = -2*v + 24. Let c be (-2)\/v - 22\/(-99). Let m(t) = 3*t**2 - t**2 + c - 1. Give m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 6. Let w(u) = -2195*u**2 + 5268. Let v(t) = 878*o(t) - w(t). Let f(h) = 3*h**2. Calculate v(f(b)).\nAnswer: 3951*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356794.45 rounded to the nearest ten thousand?\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 8707060?\nAnswer: 8707060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:48 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59677 - 30222. List the prime factors of b.\nAnswer: 5, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - g**2 + g + 1. Let l be j(-2). Let s = 15 - l. Let m = s - 3. Solve -o - m = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/20 - h**4\/12 + h**2 - 2*h. Let t(c) be the third derivative of -c**5\/60 + c**3\/6 + 14*c**2. What is 2*k(b) - 3*t(b)?\nAnswer: -2*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x. Let j(g) = -g**2 + 29*g - 52. Let p be j(27). Let b(i) = 36*i - 2*i**p - 78*i + 42*i. What is q(b(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 2485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 27878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/486 and 43\/408.\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2\/(-8))\/(65\/(-40)). What is the third biggest value in -5, 2\/5, 1\/2, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:20 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.6. Suppose 0 = -3*u + 6*u. Which is the closest to -1? (a) u (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y - 2. Suppose -3*d - 4 + 10 = 0. Let r(j) = -8*j**2 - 1 + 22*j**2 + d - 13*j**2. Give -i(o) - 3*r(o).\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32993*i - 33142*i + 66134*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39243792*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85612146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634 (base 13) to base 9.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 880 + -880.5. What is the fourth biggest value in t, 23, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 28. Suppose 0 = 3*c + m*c - 1630. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 + 3935\/11. Let a = -2.1 + 2. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x + 7. Let q be t(1). Suppose -21*i + 26*i = q. Solve 5*b - 14 = 4*u, -4*b = 3*u - 8 + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2425*l**2 + 2424*l**2 - 4845*l**2 - 302)*(2*l - 5*l + 5*l).\nAnswer: 8*l**3 - 604*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*l + 2 + 5, -3*o = l - 4. Which is bigger: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1096675 millennia?\nAnswer: 1.096675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 591, 1, 5, 18, -27 in ascending order.\nAnswer: -27, 1, 5, 18, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 3*s**2 + 2*s**2 - s + s to y*s + g*s**2 + v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -1\/2*r**4 - 17 - 15\/2*r**3 + 35\/2*r**2 + 15\/2*r = 0.\nAnswer: -17, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402\/(-48) - (-216)\/576\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.74 less than -683?\nAnswer: -655.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/340 and 89\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-27)\/162).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4266627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25212 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 1286616900*j**2 - 103461439817042172*j - 103461441103659076.\nAnswer: -4*(j - 160827113)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -4\/3*k**3 + 2\/21*k**7 + 23*k**2 + 0 + 7\/6*k**4 + 0*k - 7\/30*k**6 - 1\/5*k**5. Factor l(o).\nAnswer: 4*(o - 1)**2*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35597 is divided by 2963?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-168)\/140)\/((-8)\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.9 - 3.6. Let x = 3683 - 3685.3085. Let q = x + l. Round q to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-1 - -1)) + 10. Suppose x = 4*f - 2*f. Calculate the remainder when 7 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 3998348699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9810385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5053.532 decades?\nAnswer: 50.53532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (684*v**2 + 946*v**2 + 855*v**2)*(-3 - 3 + 5)*(2 - 5 + 13).\nAnswer: -24850*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*d + 289*d = -7704 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -6\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 6*f**3 + 6*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116524?\nAnswer: 2, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:26 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1102 + 7716\/7. What is the nearest to 2\/11 in q, 1, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 624 = 554. Suppose 2*k + 19 = -o, 3*k + 57 = -3*o + 2*k. Calculate the remainder when c is divided by -1 + (-2 - o) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.012, 131496?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126788 times -165?\nAnswer: 20920020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18*b + 11. Let x be q(4). Sort x, 1, 3.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*i - 1352, -2*i - 990 - 334 = -4*u. Suppose -3*j + u = -j + 5*r, -3*r = 15. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let n(g) = 1. Suppose 12 = 2*a - 4*i, -3*i + i = -2. Suppose -11 = -5*q + 4. Suppose -a*c + 15 = -q*c. Calculate c*n(d) - y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87599, 350451, 788537, 1401857, 2190411, 3154199, 4293221?\nAnswer: 5607477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by 6\nAnswer: -254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-0.017936\nAnswer: -0.0251104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Let u be 4\/6*c\/(-10). Sort -2, u, -0.2 in descending order.\nAnswer: -0.2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75976, 151956, 227936, 303916?\nAnswer: 379896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -91*d**2 - 2. Let k(g) = -5*g + 35. What is i(k(f))?\nAnswer: -2275*f**2 + 31850*f - 111477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 - 8aa?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268 minus 1057?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 8. Put u, 0.5, -4 in ascending order.\nAnswer: -4, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -868, -3175, -7020, -12403, -19324, -27783, -37780?\n\"Answer: -769*q**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 20 = 3*y. Let l = y + 6. Solve 4*g = -3*q + l - 27, -5*g = -4*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 = w - 8, -5*w - 13 = -4*i. Solve -5*f + 2 = -5*p - 3, -3*f = -i*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -9\/2, 5, -8, -1\/3, -5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a - 12. Let s be i(-11). Let b be (18\/(-15))\/(3\/s). Let t(c) = c**3 + 3*c**2 - 4*c. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/2200 and 23\/38173080?\nAnswer: 190865400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 25, -0.5, 0.13, 0.5, 1\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Suppose d - f = 4, 11*d - 9*d - 3*f = 11. Put h, d, -6 in ascending order.\nAnswer: -6, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -448e?\nAnswer: -4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39961.28l in millilitres?\nAnswer: 39961280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*y**6 + 2*y**5 - 1580*y**3 + 218*y**2 - 3*y - 1997.\nAnswer: 22200*y**3 + 120*y**2 - 9480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 872.9112 nanograms?\nAnswer: 0.0000000000008729112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215091 or 215092?\nAnswer: 215092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 3*w**4 - 4*w**3.\nAnswer: w**3*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12502116 + -202?\nAnswer: -12502320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:54 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*7\/(-21). Let b = -19.312 + 0.112. Let q = b + 20. What is the biggest value in t, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -160. Solve -5*n = -3*g - 1, 4*g + 0*n - a = 3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6*s - 10*s - 19 = 0, -j - 2*s - 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -49?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 z when four letters picked without replacement from zddzzzzszzzzzz.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**7\/315 - z**6\/45 + 1584*z**2. Find g such that h(g) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137743656 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {a: 3, s: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4\/4 + 23*t**3\/3 - 10*t**2 - 2. Does 44 divide x(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 116\/3*q**3 + 0*q**2 - 82*q + 132. Differentiate w(h) wrt h.\nAnswer: 232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -65*f + 460. Let n be d(7). Let t(q) = -16*q - 8. Let h(j) = -j - 1. Determine n*h(g) - t(g).\nAnswer: 11*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 31*t**2 - 171*t**2 - 598*t**2 - 5 in the form y + p*t + l*t**2 and give l.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(0*o**2 - 3*o**2 + o**2) + 1 - o**2 - 1 + (1 + 335 + 297)*(0*o**2 - 2*o**2 + 3*o**2) + 3*o**2 - 4*o**2 - o**2.\nAnswer: 624*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22051 - 164\/(-123)*15\/2.\nAnswer: 13, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-14) + (-540)\/210. Let x be q\/(-5) + (-217)\/(-155). Solve 8 = x*b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3371, 6703, 10035, 13367, 16699?\n\"Answer: 3332*w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*r + 8 = 0, 5*r + 1 + 10 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-43))**(-9\/5)\/(((m*m\/(((m**(-2)\/m)\/m)\/m))\/(m*m**(-2)))\/(m*m\/((m\/(m*m*m**0*m)*m)\/m)*m*m**3)) assuming m is positive.\nAnswer: m**(-774\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/367, -27.8, 4, -2 in descending order.\nAnswer: 4, 2\/3, 2\/367, -2, -27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636295799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 6 + 12 - 3 to the form t*k + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(99) - ((1 + sqrt(99))*-3)**2 - (sqrt(99) + sqrt(99) + (sqrt(99)*-1 - sqrt(99)) + -4)**2).\nAnswer: -917 - 51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206*r**3 + 10644*r + 5405631 wrt r?\nAnswer: 618*r**2 + 10644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -b - 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0 + 2\/39*p**3 - 1\/78*p**4 + 0*p**2 + p. Solve q(t) = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*g*x**2 - g*x + 303*k*x**2 - 84*k*x + 27*k - x wrt x.\nAnswer: 206*g + 606*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 15) in base 10?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 + 1 = 3*x, x + 7 = 3*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/8*154\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-18*(-5)\/45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 11:13 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36*6\/(4\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 15 = 2*d. Let x(o) be the first derivative of 25*o**2 - 76 + d + 41. Let t(n) = -n. Determine t(x(m)).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 561 = -0*m. Suppose m = 5*p + 8. Solve 5*f = 4*w + 14, -p*f + f + w + 9 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 634, 632, 630?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -1. Let o = s - 5.9. Let w = o + 1. What is the nearest to w in 1\/7, -5, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26938 * 67.4.\nAnswer: -18.156212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 128, -307\/4, 0.5, -1\/17 in descending order.\nAnswer: 128, 0.5, 0.1, -1\/17, -307\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 210, 559, 1056, 1707, 2518, 3495, 4644, 5971?\n\"Answer: b**3 + 68*b**2 + 138*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1219*q**2 - 6097*q - 4. Let o be t(-5). Let z(r) = r**2 + 5*r + 2. Let m be z(-5). Put m, 3, -3, o in increasing order.\nAnswer: -3, m, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*u = 25, 0 = -169*u + 159*u - 70 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - (3 + -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose f*b - 3*b = -7. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 75*b**2 + 25*b + 423. Is g(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99564705 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 0, 0 = 4*c - 2*g - 2*g - 4. Let y(s) = 4*s + 7*s - c*s. Let q(j) = 30*j**2. Calculate y(q(x)).\nAnswer: 150*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 6*d + 2. Let w be a(-3). Suppose 0 = s - 17 + w. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205719174 divided by 24027.\nAnswer: -8562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 4*x - 1. Let v(n) = -2*n**2 - 11*n + 9. Let b be v(-6). Let r = -8 + b. Give m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283595168 a multiple of 2805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 + 155 - 32 + 14)*(-1 + 1 - 1)*(4*f - 5*f - f).\nAnswer: 528*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.205, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164 + (-5)\/(10\/(-6)). Suppose 5*r - y = -47. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 61138940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 - 198. Let j = -374\/5 + 75. Which is the nearest to 0? (a) l (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/3 + 162304*z\/3 + 5195776\/3 = 0. Calculate z.\nAnswer: -32, 81184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409.055 + 409. Let w = 39.955 + o. What is w rounded to 0 decimal places?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885265 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*7\/(-1176))\/(1\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r + 11*r - 6*r**3 + (-33*r**2 - 7*r**2 + 7*r**2)*(46 + 47 + 32)*(-r + 2*r + r) to s*r + p*r**3 + k + g*r**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 49435932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 3990.\nAnswer: 383040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ab + -3a?\nAnswer: -4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2961 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 + 9*f**2 + 3*f + 5. Let c(q) = 6*q**3 + 10*q**2 + 3*q + 6. Let w be (-4)\/((-4)\/(-12)*3). Let g(s) = w*c(s) + 5*p(s). Determine g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, e: 1}. What is prob of picking 1 e and 3 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7*t = -492. Calculate the remainder when t is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*45\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 831146.22 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -11.06. Let x = r - 1.09. What is x rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 3*h**2 + 9*h - 23. What is the tens digit of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 148. Suppose 0 = 4*y + r - 154, -s = -2*y - 3*r + 8*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) - (sqrt(68)*-2)**2) - sqrt(68))*3.\nAnswer: -18*sqrt(17) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 13*d + 32. Give n(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 44 = -24. Suppose 0*a - 2*a = -5*c - 9, 5*c - 15 = 0. What is the remainder when a is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 + 1 + 0 - 11*m**2 as h*m + y*m**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 43*h**3 + h**2 - h. Give q(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101110101100101 (base 2) to base 9\nAnswer: 35715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*x - 8 = 0, 0 = -4*i - 4*x + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 45*s**2 + 40*s**2 - 87*s**2 - 3.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 6 - (-3 - -6) - 14*-4.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -155742\nAnswer: 4\/77871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -89062.\nAnswer: 26\/44531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 1238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1*(-45)\/(-108))\/5*126.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -23. Let y = c - -19. What is the lowest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*s + 46208 = -870*s - 142*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-22 - -39) - 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5673 - -5673.020264. What is t rounded to four decimal places?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 + 2935*d**4 - 14785*d**3 + 8905*d**2 + 14780*d - 11840 = 0.\nAnswer: -592, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 0 (c) -4\/5 (d) -1\/4 (e) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769996321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9404\/48077 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/41 + -137\/451. Which is the biggest value? (a) -1\/4 (b) 1\/8 (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162352 by -139.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7744 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 8*q**2 + 7*q - 5. Let h(f) = -5*f**3 + 12*f**2 + 11*f - 8. Let l(b) = -5*h(b) + 8*m(b). Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from oovvvvvooooovvvovvoo?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 8*v - 4*v - 3*v. Let r(s) = s + 2. Let l(x) = -1. Let q(b) = 2*l(b) + r(b). Calculate n(q(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 17*k - 1. What is the remainder when 460 is divided by d(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p - 322. What is o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 + 1. Suppose 4*q - 4 + 16 = 0, -2*q - 16 = -o. Let i = -6 - -6. Suppose 0*v + 3*v + 2*h - o = i, 4*v = -2*h + 12. Calculate k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 = 21. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Let h(l) = l**3 - 5*l**2 - l + 5. Let m be h(y). Suppose m = -u - u + 28. Solve -4*z = -u - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84*((-150)\/(-7))\/5. Suppose c = -4*y + s, -c + 3*y - 1732 = -6*c. Calculate the greatest common factor of c and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(sqrt(405) + -2*sqrt(405)*-1 + 4))**2.\nAnswer: 5400*sqrt(5) + 91528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2)*((-10)\/4)\/(-1). Suppose 5*y = s*i - 30, 3*i - 13 + 2 = -4*y. Suppose 0*h + 245 = -i*h. Which is greater: -48 or h?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191162439 divided by 29679\nAnswer: -6441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.3963 - 0.3963. Let f = -0.12 + 6.12. Let v = 6 - f. Which is the nearest to q? (a) -4 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1838*h - 1574. What are the prime factors of x(9)?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/63*35*(-2)\/(-25).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 3*w**4 + 0*w**2 - 105*w**3 + 106*w**3 - 3 - 6*w**4 to the form m*w**4 + y*w**2 + k + x*w**3 + j*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103927129 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/((-60)\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f**3 - 6*f**2 + 4*f**3 - 195*f**3 + f**3 to u*f**3 + o*f**2 + c + y*f and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(j**4 + 4*j**4 - 2*j**4)*(-79 + 7 - 102).\nAnswer: 522*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, h: 2, u: 11, v: 2, l: 1, e: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9\/2*172520\/114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 129?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + v**3 - 6*v - 10. Let q(y) = 2*y**3 + 6*y**2 - 11. Let c(s) = -6*q(s) + 11*x(s). Let c(t) = 0. What is t?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4461 - 71?\nAnswer: -4552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8416500 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 4. Let o(a) = 1. Suppose 0 = p - 10*p - 81. Calculate p*o(n) - 2*x(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390 (base 14) in base 3?\nAnswer: 2021012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 = 3*o, 6*o - 8*o + 2 = 2*j. Let g(a) be the first derivative of -3 - 9\/2*a**2 + 8*a - 1\/4*a**o + 7\/3*a**3. Give g(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/12 - 4*u**3\/3 - 11*u**2\/2 + 20*u. Is w(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12495 and 65535?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -143, -580, -1309, -2330, -3643, -5248?\n\"Answer: -146*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99291 is divided by 227?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/9, 0.5, 11\/7, -179, 3 in decreasing order.\nAnswer: 3, 11\/7, 0.5, 0.1, -2\/9, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23948412.\nAnswer: -1\/5987103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 5*y**2 + 2*y + 4. Let h(j) = 9*j**3 - 9*j**2 - 4*j - 6. Let a(q) = -6*h(q) - 10*x(q). Factor a(m).\nAnswer: -4*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2*y - 2*y - 13*y - 13.\nAnswer: -13*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/70)\/((-470502)\/94101 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 2*l**2 + 13*l + 5. Suppose -3*y = -3 - 12. Let q be j(y). Put q, -2, -1 in decreasing order.\nAnswer: -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + h**2 + 26*h**3 - 52*h**3 + 33*h**3 to t + c*h**3 + b*h**2 + i*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = 0, 38 = -4*n + 108*y + 136*y - 243*y for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42291937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6445108.\nAnswer: 2, 17, 94781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = -312. Let b be (-2)\/(-3) - (-2288)\/z. Let i(g) = g - 20. Let y be i(b). Solve -s = -5*f - 23, -2*s - f = 3*f + y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g - 5, s + 4*g = -7. Let k(u) = -u + 4. Let t be k(s). Solve -5*x - t - 18 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 9 - 2 = -16*d + 3 - 0, 4*d = 25*l - 217 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:00 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 83 + 78 - 165. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2237000 and 64649300.\nAnswer: 646493000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -v. Suppose -15 = -v*f + 17. Calculate the highest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-4\/5))\/v)*v*v)\/v**(-5\/2))**21\/((v**0)**(15\/4)\/(((v\/((v*((v\/v**(-1))\/v)\/v)\/v)*v)\/v)\/v)**(10\/3)) assuming v is positive.\nAnswer: v**(987\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -15\/8*z**4 + 1\/3*z**3 - 17*z**2 + 0 + 7\/6*z**5 + 0*z. What is the second derivative of w(u) wrt u?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 1705*r + 1 - 3409*r + 1698*r. Let k(f) = -f. Suppose -4*w = -0*h + 3*h - 4, 2*w - 2 = -2*h. Give w*m(b) - 6*k(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 + 0 + (-1 - 3 + 2)*(0 - 4 + 3))*(-2*j + 2*j + j)*(2*j + 0*j + 0*j) as s*j + f + g*j**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11645767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2873*t + 2964*t - 455 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3958*r**2 + 6*r - 4. Let q be v(4). Let u = -64173683723\/50 - -1283536980. Let w = q + u. Find the common denominator of -7\/20 and w.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5 - 784*i**4 - 53540*i**3 - 1455992*i**2 - 12248880*i + 13759200 = 0. What is i?\nAnswer: -70, -39, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224505\/26024 - 6\/3253. What is the common denominator of 29\/9 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -0.1, 4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 166231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62715, 124313, 185911, 247509, 309107, 370705?\nAnswer: 432303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let o(x) = x - 2. Let z(f) = o(f) + p(f). Let n(v) = -2*v + 4*v - v - 1. Suppose 0 = -d - 4 + 2. Calculate d*z(a) + 2*n(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2770*b = -2981*b + 1477 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -609*t + 610*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 567894761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 209*w + 18. Is j(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2319842us in seconds?\nAnswer: 0.0000002319842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*-3)\/sqrt(7)*4)\/((sqrt(6912) + 2*sqrt(6912))\/(sqrt(108)\/(sqrt(27)\/sqrt(3)))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 44 = 4*t, 5*h - 6 = -5*t - 76. List the prime factors of 3\/(t\/(-8)) + 32.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/9)*l)\/l)\/l)**(-3\/16))**(-10\/9) assuming l is positive.\nAnswer: l**(-25\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 355, 705, 1055, 1405, 1755?\n\"Answer: 350*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 11*q + 9. Give l(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -55*n + 60. Let r be m(1). Let v = 1\/4 - -1\/4. What is the biggest value in 2, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 85978.62ns?\nAnswer: 0.00008597862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 2*s - 8, -47*o - 24 = -43*o + 2*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235128?\nAnswer: 2, 3, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 134 + 91 + -303 + 146\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -483, 25983, 4 in ascending order.\nAnswer: -483, 4, 5, 25983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-5)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 0, -3.\nAnswer: -3, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314789 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v**(-1\/2)*v**(3\/2)\/v*((v**(-1)\/v)\/v)\/v)**34 assuming v is positive.\nAnswer: v**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h - 15 = 0. Let q = -0.425 - -0.625. Which is the nearest to 1\/4? (a) q (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/21*54\/45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014761 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2398288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.14522 tonnes in micrograms?\nAnswer: 42145220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p**(10\/13)*p)*p*p)*p)\/p)\/p*p*p**17 assuming p is positive.\nAnswer: p**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 178. Let j = -609 - 444. Let n be (-9)\/(j\/60) + (-6)\/(-39). What is the nearest to -1\/2 in f, n, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 13*c + 23. Determine d(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10246623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 2*l + 1. Let y(z) = z**2 - 4*z - 45. Let g be y(-5). Suppose g = 8*f - 5*f + 9. Determine t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + 266\/190.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 583.4667 months?\nAnswer: 0.48622225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54368638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 126219587.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -127*c + 1159. Solve 963*f + c = 962*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 10548 = -12291. What are the prime factors of c?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4692 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2210*z - 1106*z - 1106*z - 155*z**3)*(63*z + 31*z + 45*z - 25*z) to q*z**3 + p + x*z**4 + n*z + a*z**2 and give x.\nAnswer: -17670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine quarters of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99925304, -199850607, -299775910, -399701213, -499626516, -599551819?\n\"Answer: -99925303*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*t + 198*t + 5*t**2 in the form q + m*t + l*t**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 26 - (-14 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44700 divided by -6.\nAnswer: -7450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 58*u**2 + 113*u + 500. Determine o(60).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 185 - 236 + 0*a**2 in the form o + n*a**2 + y*a and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 105*b = 108*b + 52, -5*j - 5*b - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*y + 4. Let q(o) = -35*o**3 + 37*o + 9. Let k(n) = 9*n**3 - 9*n - 2. Let m(c) = y*k(c) - 2*q(c). What is the second derivative of m(z) wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**3 + 14\/5*u**5 - 76*u - 104 + 0*u**4 + 0*u**2. Differentiate x(f) with respect to f.\nAnswer: 56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37383 * 14.36\nAnswer: -536819.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 236. Give h(-45).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 + -3 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*r + 381*r = -9072 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/24 + 6*r**2 + 16. Let p(m) = -12*m - 1. What is p(b(l))?\nAnswer: -12*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -13. Let q = 15 + f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 466570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -14. Let o be 4\/(-6)*12\/s. Suppose 4*j - 11 = 25. Calculate the highest common factor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1498 divided by -26\nAnswer: 749\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83260.59m in nanometers?\nAnswer: 83260590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 263859805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2 - 8*b. Let x be c(-8). Let z be x\/4 - (-12)\/2. Let j = z + -1. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354145733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 67*l - 465. What is y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 0*w + 9*w**3 + w + 1. Let q(y) = -3*y**2 - 96*y - 1. Let u = -362 - -330. Let g be q(u). Calculate b(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 6. Suppose u*d - 45 = -2*d. Solve 7 = 2*o - 6*o - d*h, -3*h = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4 in ascending order.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -27 - (5 - 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35 less than 0.591161?\nAnswer: -0.758839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*c - 22 - 23 = 0, 4*c = -2*z - 18. Let x(o) = -o**2 - 8*o + 11. Let i be x(z). Let l be (2\/(-3))\/(i\/6). Let p(w) = w**3 + 3*w**2. Give p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**35\/(l**(-1\/3))**(-34))**13 assuming l is positive.\nAnswer: l**(-2249\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 - 20)*(-35*s + 3 + 2*s**2 - 33*s + 62*s).\nAnswer: -38*s**2 + 114*s - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = -2*d. Suppose 0 = -d*f + 6*f. Do f and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-11))\/(-2*6\/12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -63, -73, -69, -51, -19?\n\"Answer: 7*t**2 - 45*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 17*c**3 - 94*c**2 + 91*c - 14. Let k(h) = 120*h**3 - 657*h**2 + 636*h - 99. Let r(l) = -27*j(l) + 4*k(l). Factor r(w).\nAnswer: 3*(w - 3)*(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*g**2 - 38*g**2 - 47*g**2 - 6*g**3 + 4*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*y - 4 - 116*y + 388*y - 5536*y**2 + 593*y**2 - 129*y wrt y?\nAnswer: -9886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 3*s + 4*s - 29 as j*s + w and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 446991660?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.849989 + -0.047839. Let f = n + -2.8. Round f to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203597, 203587, 203577, 203567, 203557?\n\"Answer: -10*h + 203607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3, -w - 3 = -4*j + 10. Suppose 0 = -x - 2, -2*b - j*x = -b + 5. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 331 - 17\/(119\/(-56)). Let o = -341 + f. Which is the third biggest value? (a) 1 (b) 34 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -52. Let u = s + 28. Suppose j + h = 41, -4*j + u*j = -5*h - 75. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -50. Suppose 5*g = 4*w - 53, -j*g + 6 + 77 = 4*w. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.77 - -0.7. Let l = 3.07 + h. Let r = 10.1 + -10. What is the biggest value in r, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = x. Let a = 475\/61 + -3739\/488. Factor 1\/4*z + a*z**x - 3\/8.\nAnswer: (z - 1)*(z + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/189 + (1346\/1404 - 1). Which is the nearest to 0? (a) 0.1 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223993, -447984, -671973, -895960?\nAnswer: -1119945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 147. Solve 5*x - 2*c = -i, -4*x - c - 16 = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 2*h + 6. Let m be n(-6). Let r = 94 + m. Which is the nearest to 0.1? (a) r (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2778\/7 + 41656\/105. Which is the closest to -0.1? (a) 1\/4 (b) j (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5965*s + 214168. Give d(-36).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:12 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15640240 bigger than -62560965\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l)**(-40))**(3\/14)\/((((l*l*l**(2\/5))\/l)\/l)\/((l\/l**(-1\/6)*l)\/l))**(-2\/15) assuming l is positive.\nAnswer: l**(9964\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/49*(-2)\/4. Let v = z - 8\/21. Let f = -10 + 21\/2. What is the nearest to f in -4\/3, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1307267702*3\nAnswer: -3921803106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(245\/14)*(11 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = o + 107. Let g = o + 682\/5. Let h be (-130)\/78*8\/10. Which is the closest to g? (a) h (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 18 - 521870*p + 521769*p - 18.\nAnswer: -101*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 2?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-7))\/(b\/(b\/(b\/(b**(-5)\/b)))))**38)**(-1\/17) assuming b is positive.\nAnswer: b**(494\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -10 - 1 - (-6 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/3145 and -38\/85.\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 - y + 1. Let q be p(1). Solve 1 + q = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 2:31 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 + 246 = 3*x. Let s = 72 + x. What are the prime factors of s?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 132*x**3 + 25*x**2\/2 - 6*x + 701. What is the second derivative of b(z) wrt z?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 16 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*((-11 + 2 - 49)*(2*p - 3*p + 0*p) + 0*p + 0*p - p) in the form n*p + m and give n.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 239*s**5\/5 - s**3\/3 - 20*s**2 + 240. What is the third derivative of u(z) wrt z?\nAnswer: 5736*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 79 = 79. Suppose m - 364 + 232 = i. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24062 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51291420.058933 + -51291063.2. Let z = 225.8589382 - h. Let n = z - -131. What is n rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154001?\nAnswer: 3, 199, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 2*m**2 - m + 4. Let z be v(-3). Let k(c) = c + 37 - z - 21. Let n(d) = -d + 74. Determine n(k(s)).\nAnswer: -s + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16.6*0.34175\nAnswer: 5.67305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**5\/20 - d**3\/6 - 2*d + 1. Let k(u) be the first derivative of t(u). Determine h so that k(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y - 2*y + (1 - 1 - y**2)*(0 - 1 + 2) + 1 - 1 - 2*y**2 + 2.\nAnswer: -5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -894.7 - -896.1896. Round z to two dps.\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -32*z - 6. Let d(q) = -10*q + 1. Determine -2*d(f) + u(f).\nAnswer: -12*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3*-1 + 6. Suppose -3*n + 5*q + 0 = -l, -2*n + 4*q = -2. Find the second derivative of -6*a**3 + 22*a - a**n - 2*a**3 - 20*a wrt a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, z: 3, j: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/70 + (-120)\/(-14). Suppose j - 2 = z + m, 3 = z - m. Suppose z*w - 3*w = 626. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 50, 77, 114?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 25, 34, 45?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0.05034217\nAnswer: 4.94965783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4565425495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160794308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 43 (c) -3 (d) -0.4 (e) 3 (f) 24 (g) 1335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 753*z - 567009\/2.\nAnswer: -(z - 753)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-10) - (-54)\/(-15). Let q = 2 + m. Which is the biggest value? (a) -3\/8 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1582102947*a**2. Let m(z) = 2*z. Determine c(m(w)).\nAnswer: 6328411788*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - h + 3. Let z(j) = -5*j**2 - 7*j + 7. Let p(o) = -6*o**2 - 8*o + 8. Let u(f) = 6*p(f) - 7*z(f). Calculate 3*u(c) + x(c).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100.2 - 0.1153.\nAnswer: -100.3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8800939490 to the nearest one hundred thousand.\nAnswer: -8800900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -7*o**3\/6 + 2*o. Let n(j) = 3*j + 63. Let t(c) = 2*c + 27. Let m(g) = 3*n(g) - 7*t(g). Calculate m(v(f)).\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 - 2*n**2)*(-2 - 2*n + 2) - 27433*n**3 - 9337*n**3 + 5*n - 2*n - 3*n.\nAnswer: -36772*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10492 + 10494. Let l(p) be the first derivative of -147\/4*p**4 + 63*p**3 + 7 - 45\/2*p**k + 3*p. Let l(q) = 0. Calculate q.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 928?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 29*g - 29. Let i be b(8). Calculate the highest common divisor of 451 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*x + 28200 = -121*x. What are the prime factors of x?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r + 8 + 57*r - 8.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.0215? (a) -6 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*w = -1083, -4*w = -2*k - 2*w - 528. Let q = k + 267. Solve q*o = 5*o - 4*i + 32, 0 = 3*i - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22020 and 1680?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -556. Let p = 530 - b. Solve p*c + 4 = 8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384 + -385. Let f(l) = -l**2 - l - 1. Let q(n) = 5*n**2 + 8*n + 5. Calculate r*q(c) - 4*f(c).\nAnswer: -c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8219790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868 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: Which is the closest to -2? (a) 0.237 (b) -1\/4 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = a + 6, 0 = -w - 5*a - 3. Let t(b) = 4*b**2 - 4*b - 3. Let k be t(4). Calculate the smallest common multiple of (k\/(-12))\/(9\/(-24)) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16588.45 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*u = -14*d - 1501*u + 10 + 174, -3*u = -d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1\/b*b))**(2\/7)*b*b\/(((b*(b**(2\/21)*b)\/b)\/b)\/b)*b*b**(-3\/5))**(-42) assuming b is positive.\nAnswer: b**(-694\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010010 - 1001100001?\nAnswer: -101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17639979 divided by 7?\nAnswer: -2519997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -62*h**2 + 350*h - 12. Let v(w) = 17*w**2 - 87*w + 3. What is -6*p(f) - 22*v(f)?\nAnswer: -2*f**2 - 186*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o**2 - 12*o**2 - 2*o**2 + (-3*o + 2*o + 2*o)*(2*o - 7*o + 3*o))*(-32*o - 2 + 33*o - 25*o) to the form v*o + p*o**3 + s*o**2 + g and give p.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 18071.73.\nAnswer: 54215.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = z + 1, 0 = -2*z - 10. What is the fourth smallest value in 0.5, 4\/7, 0.066, o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15535400 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 301126554674620 and -5.\nAnswer: 301126554674615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 463*s + 2. Let d be i(-1). Let w = d + 1044. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 1065 - 1200. What is the highest common factor of h and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let d be u(0). Let m = 33 - 18. Suppose -3*z - 2*z = -m. Solve 4*x + 5 = -3*v, 0 = -z*v - x + 10 - d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 249 in -0.3, -3, -0.19, -11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 9.712 rounded to one dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Sort -2, -0.01, k in ascending order.\nAnswer: -2, -0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 > 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45443032 - -3?\nAnswer: 45443035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -6 (c) -0.1 (d) 753 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {l: 2, t: 4, i: 10}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. Let n = 1694.01833 - 1696.01833009. Let w = b - n. What is w rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-840105)\/(-540) + ((-6)\/8)\/(-3). Let j(f) = 1550 + 0*f + f - 8*f**2 - f**3 - c. Let h be (-140)\/18 - 4\/18. Determine j(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-10)*(-3020)\/6342\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/226118307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 3. Let a be q(0). Suppose 5*c - 8 = a*c. Solve l = c*k + 20, 5*l = k - 0*l + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = -10*y + 990. Let p = -62 + 134. What is the greatest common divisor of y and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4423 (base 8) in base 9?\nAnswer: -3161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557497?\nAnswer: 23, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 20*c = 153. Let o = c + 48. Let i be 7*(-1)\/(o\/(18 - -3)). What is the greatest common divisor of 245 and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1 + (-20)\/(-16)) + 2. Which is the smallest value? (a) -2\/5 (b) 40 (c) -5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257207 divided by 31?\nAnswer: 8297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11431 - -13403?\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**2 - b + 1. Suppose 2*i - 6 = -2. Calculate the lowest common multiple of (-12)\/(i\/(-3) + 0) and w(1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.849 to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166.9 + 141.82. Round n to zero decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 441*t**2 - 7604*t - 158. Calculate v(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 + 2*c - 1430 - 3*c + 1437 as u*c + p + v*c**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61075833?\nAnswer: 3, 7, 13, 23, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9065.034 + 9065. What is the closest to -24 in l, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68) - (5 + sqrt(68) + 1))**2.\nAnswer: 88*sqrt(17) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1437113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13199*c + 13475*c - 31278 + 12234 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/10, 3\/5, 1\/4.\nAnswer: -0.2, -1\/10, 1\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l. Let k(f) = 74 + 71 - 7*f - 145. Let s(b) = 4*i(b) + 9*k(b). Suppose 5*m - 4 = -2*n - 1, 0 = -n + 4. Let q(w) = -2. Give m*q(j) - s(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/41470229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 5*x)*(-4 + x + 4)*(0 + 2 - 3 + 5 - 4 - 2 + (-2 + 3 + 0)*(-3 + 2 - 1) + 2 - 4 - 1).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2228, -3, 9, -4, 2, -8, -1 in descending order.\nAnswer: 2228, 9, 2, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002189 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140662644?\nAnswer: 2, 3, 29, 71, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**2 + 384. Suppose -5*p + 5*r = -0*p - 20, r = -2*p - 7. Give k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(44) + sqrt(11))**2 + sqrt(44)*-1.\nAnswer: -2*sqrt(11) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80*-8.65.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37485, 37557, 37629?\nAnswer: 37701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/3)*a)\/a)\/((((a\/(a\/a**(-2\/7)))\/a)\/a)\/a)*(a**1*a)**17)**37 assuming a is positive.\nAnswer: a**(28712\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*v + 6 - 2 - 5 as p*v + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4345 in 3, 2, -5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 127, 209, 311, 439, 599?\n\"Answer: q**3 + q**2 + 58*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 398 = -160 + 356 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11)\/(((-3720)\/440)\/(-31))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 54967954043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/4 - 907*c**3 - 1428729*c**2\/2 + 2788142489*c + 9449641996729\/4 = 0.\nAnswer: -1067, 2881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 5 (b) -0.006 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.202 * -5.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -48?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.077 and 23?\nAnswer: 1.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 - 4*j - 5. Let u(q) = -2*q - 7. Let m be u(-2). What is the smallest common multiple of 4\/1 + (-3)\/(m - 0) and b(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**3 - 32*f**2*s - 5*s + 27 wrt f.\nAnswer: -15*f**2 - 64*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**2 + 2*m - 1. Let l be (3\/9)\/(((-5)\/(-3))\/5). Give n(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 42681345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 3, b: 1, r: 3, k: 1, w: 6}. Give prob of sequence rwq.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6118 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1296 - -1291) + (0 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 318\/27*3\/(-57). Let t = m - -16\/19. Sort 1, 0.1, t in increasing order.\nAnswer: 0.1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -65.6. Let p = z + -13. Let u = -5.0265 + 0.0265. Sort 1, u, -3, p.\nAnswer: u, -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 182 = 5*m, -m - 3*j - 33 = 0. Let i be (-1)\/(-2)*m\/(-3). Let z(c) = c**3 - 2*c**2 + 5*c + 7. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17044 + 17056. Suppose -2*d - 2*q + 10 = 0, -3*q + 0*q = 4*d - 15. Let v(m) = -m + 20. What is the lowest common multiple of y and v(d)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**42\/(y**1*y)**13)\/(((y**(-2\/17)\/y*y)\/y*y)\/y*y**(-1\/6)*y**(1\/6)\/y**(1\/7)) assuming y is positive.\nAnswer: y**(-2944\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtgaa. Give prob of sequence ga.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(245)*-6 - (1 + sqrt(245) + 0 - sqrt(245) - sqrt(245))) + -5 + 1 + sqrt(245) + 0)**2.\nAnswer: 700*sqrt(5) + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11626.95 and 13.2?\nAnswer: 11640.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 6. What is l(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5398605 and 4284?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 561846.\nAnswer: -1\/280923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*s - 63*s + 176*s to the form y*s + a and give y.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17245010 (base 8) to base 11.\nAnswer: -22a3849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 1. Let w = 74 - 123. Let f = -44 - w. What is the least common multiple of j(-4) and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46360 or -46375?\nAnswer: -46375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j. Let a be -9*(-8)\/12*1. Suppose -3*q + 0 = -a. Let h(n) = 0*n + q*n - n. Calculate h(g(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4*17\/85. Factor i*v**2 + 1\/2*v**3 - 1\/2 - 1\/2*v.\nAnswer: (v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 3. Let a be i(-3). Let v = -3871 - -3877. Calculate the greatest common divisor of v and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.054 in -3, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 8\/15*z**3 - 1\/20*z**4 + 0 - 3*z + 2\/5*z**2 + 2\/75*z**6 - 11\/100*z**5. Find b such that n(b) = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227239 is divided by 15145?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -624, -626?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**6\/35 + 11*t**5\/14 - 152*t**4\/21 + 572*t**3\/21 - 320*t**2\/7 - 1896*t. What is u in w(u) = 0?\nAnswer: 1, 2, 16\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737190030.\nAnswer: 2, 3, 5, 24573001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-567274 + 1575*u + 567274)*(1 + u**2 - 1) + (1 - 4 + 1)*(-2*u**3 - u**3 + 2*u**3) in the form k + i*u**3 + w*u + r*u**2 and give i.\nAnswer: 1577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(300) + 3 - sqrt(300))*-3)**2 + 1.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28895 = -363*h + 26644. What is the remainder when 622 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 6*p - 4. Let d be c(3). Let n be ((-4)\/3)\/((-1)\/(-3)). Let m = n + d. Solve -5 = f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -597184170, -1194368341, -1791552512, -2388736683, -2985920854, -3583105025?\n\"Answer: -597184171*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 133, 308, 553?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyhevhyewyqvhq. Give prob of picking 1 e and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 989, 3401, 7999, 15461?\nAnswer: 26465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)\/t)**(-37\/2)\/((t*t*t\/(t**(-3\/7)*t))\/(t**(-9)*t)) assuming t is positive.\nAnswer: t**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18814 - 10710?\nAnswer: 8104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2590 and 51\/2590?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j = 78*j + 40 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -409.691 to zero decimal places.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/13 - 8*t**3\/13 + 10*t**2\/13 - 4*t\/13 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9414.043 - 9406. Let j = w - 0.043. Let n = -0.1 - j. What is n rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -154. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24985 divided by 5.\nAnswer: -4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3846*d + 0*d**2 - d**2 + 3847*d - 2*d**3 - 117*d**4 as i*d**2 + l + o*d**3 + h*d + u*d**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Let v = -422500\/5704479 - 2\/211277. Which is the third smallest value? (a) v (b) k (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 8. Let n = -460 + 458. Let w be h(n). Solve -3*a + w = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 + 247602*t**3 - 99020772*t**2 wrt t.\nAnswer: 240*t**2 + 1485612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i)\/(i*i*(i\/(i**(-2)*i)*i)\/i*i)*i*i\/((i**(7\/5)*i)\/i)*i\/i**3 assuming i is positive.\nAnswer: i**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 89*b. Calculate h(1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 354*t - 4553. Let g(i) = -i + 37. Let u(l) = 5*g(l) - j(l). Differentiate u(x) with respect to x.\nAnswer: -359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 33. Let o be l(7). Suppose 1252 = 2*g + o*w, -8*g - 5*w + 2514 = -4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043621527?\nAnswer: 13, 23, 599, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7620 and 17526.\nAnswer: 175260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 3}. What is prob of sequence vv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105b1 - 2?\nAnswer: -105b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196 (base 14) to base 6.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 3 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.5 (c) 4\/2573 (d) -13388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590817 is divided by 95?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3368*g**3 + 214*g**2 + 3370*g**3 - 36*g**2)*(g**2 - g**2 - g**2).\nAnswer: -2*g**5 - 178*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291380384 and 8.\nAnswer: 291380384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45088701, 90177399, 135266097, 180354795, 225443493, 270532191?\nAnswer: 315620889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -110692, -5, -30 in decreasing order.\nAnswer: 1, -1, -5, -30, -110692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2363 divided by -2363.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(-36))\/(17860\/(-15040))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 254.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -6147 - 21548. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 4. Let w be x(-6). Suppose -6*a = -2*a - w. Let p(v) be the third derivative of v**4\/12 - v**3\/2 + 3*v**2. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -2. Let o = -81 + 564\/7. What is the closest to 1 in -1, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -41, -9, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 - -6?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 189439 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r - 626 = 0, 0 = 3*x - 24*r + 19*r - 396. List the prime factors of x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 - 3 + 4 + 3*o**3 + 5*o**3 - 4*o**4 in the form k + w*o**4 + r*o**2 + i*o + m*o**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -125\/4 (b) -0.02 (c) 4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 2. Let f be 2*(-6)\/(-36) + 8\/(-6). Is z greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 122715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*9\/(-108)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8, -6\/5, -0.03, 3, -4 in decreasing order.\nAnswer: 3, -0.03, -0.2, -6\/5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let n be a(-5). Suppose 0 = -2*x + 3*t - 5*t + n, -2*x = 3*t - 1. Let c = -23\/30 + 17\/30. What is the second biggest value in x, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 3*c - 7. Suppose -5*t + 47 + 8 = 0. Suppose 20 = 4*d + q, -t + 1 = -2*d - 2*q. Let b(z) = z**2 + 2*z + 6. Give d*b(f) + 4*i(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 + 96. Which is the closest to 0? (a) p (b) 4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 2 - 1 + 16)*(-12*s**2 - 19*s**2 - 94*s**2) as q*s + p*s**2 + x + g*s**3 and give g.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8205811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/61 in -0.4, -1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 41 + 339. Suppose i = 5*g - 11, -2*i + 11 = 3*g - 2*g. Suppose 14 = y + s, g*y - 2*s - 16 = 26. What is the remainder when r is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1476\/(-567)*((-791)\/112 - -7) and -41\/48.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(12\/(-2088)). Suppose -84 = -m*q + 54*q. What is the derivative of 20*f**3 + q*f**3 - 9 - 38*f**3 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1024 (base 15) to base 12\nAnswer: -1b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*v - 139*v - 3158 = 20 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 13*j**2 - 13. What is s(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 2. Let a be k(-2). Let q(h) = -h**3 + 3*h**2 + 1. Let p be q(3). Suppose 2*g - 3*f - 13 = p, -4*f - 16 = -2*g. Solve -g*m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75367.\nAnswer: 75367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((0 + 10 - (28 - 30)) + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146980.\nAnswer: 2, 5, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and 0.315391.\nAnswer: -15.454159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448) - sqrt(2448)) + -1 + sqrt(2448).\nAnswer: -1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125679 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z + 2. Let o be n(0). What is the derivative of -33*d**2 - 3*d - 166 + 33 + 0*d - 43*d**2 + o*d wrt d?\nAnswer: -152*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n - 13*n - 2*n**5 + 21*n + (3*n**4 + 3*n**4 - 5*n**4)*(-n - n + n) - 2*n**5 - n**5 + n**5.\nAnswer: -5*n**5 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100011 (base 3) in base 7?\nAnswer: -123415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -44, -48, -52, -56?\n\"Answer: -4*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36822054.\nAnswer: 2, 3, 29, 431, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.8315 months to years.\nAnswer: 59.902625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**8\/168 - 5*m**7\/14 - 295*m**4\/24 + 62*m**2 - 2*m. Find the second derivative of q(z) wrt z.\nAnswer: 40*z**3 - 900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-159)\/((-38)\/105 - (-3)\/7). Let m = 248 - v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3089\/8 - 376. Find the common denominator of n and -7\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -489, -487, -531, -651, -877, -1239, -1767?\n\"Answer: -5*i**3 + 7*i**2 + 16*i - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 16*a + 31. Let q be v(-16). Suppose 5*g + 5*z - 220 = 0, -4*g + q + 154 = -5*z. What is the remainder when g is divided by 3*(-1 - (3 - 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25592, -102385, -230394, -409631, -640108?\nAnswer: -921837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1. Let d(c) = -525*c + 3. Calculate -d(m) + 5*u(m).\nAnswer: 525*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/(x\/x**2))\/(x**(-13))**42 assuming x is positive.\nAnswer: x**(2737\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (5 - 3) - -15 - -5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75419, -4, 1\/3 in descending order.\nAnswer: 1\/3, -4, -75419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*y = 3*c - 78, -5*c = y - 92. Let p(g) = g - 18 + c. Let k(o) = 10*o - 2. Let h(x) = -69*x + 15. Let v(f) = 2*h(f) + 15*k(f). Give v(p(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, z: 4}. What is prob of sequence dzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 8\/3)*3. Suppose -5*u - 4 + 24 = 0. Suppose 0 = u*p - j*p. Solve 4 = -4*v - p*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -25. Suppose 13 = h - 0. Let v = n + h. Solve s = 5*o + 10, 5*s - 5*o - 13 = -v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 1 - 637*u**3 - 4 - 851*u + 3 wrt u.\nAnswer: -3822*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 66*u + 33 + 49 + 28*u + 56.\nAnswer: 94*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*w + 1 + 5, 0 = -g + 5*w + 9. What is the nearest to g in 2\/21, -0.6, -1\/6, -3\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1013856 and 358.\nAnswer: 1013856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - w**3 + 4*w - 14*w + (-2 + 2*w + 4 + 0)*(2*w**2 + 2*w**2 + w**2) to the form i + d*w**3 + p*w**2 + h*w and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54026679 to the power of 1\/2, to the nearest integer?\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 - 9*m - 6. Let w(y) = -9*y**2 - 5*y - 4. Let b be w(-1). Let x be k(b). What is s in -18\/5*s - 4\/5 - 8\/5*s**x = 0?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 259 = -25*r. Let a(g) = -g**2 - 16*g - 15. Calculate a(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, 53, 211, 457, 791, 1213?\n\"Answer: 44*i**2 - 62*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -35*p, -2*p - 12 = -4*v. Suppose v*g - 50 = -22*g. Factor 0 + 14\/17*w**g - 4\/17*w + 8\/17*w**3.\nAnswer: 2*w*(w + 2)*(4*w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194\/83, -3\/2, -2, -3\/5 in decreasing order.\nAnswer: 194\/83, -3\/5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 220*j - 95. Let z be (6\/(-5))\/((-7)\/5 - -1). What is the tens digit of m(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 1. Let r = k - -6. What is the third derivative of 3*v**2 - v**2 + v**2 - 3*v**3 + 0*v**r wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-2) + 208\/48*-3. Let z be ((-7)\/(-2))\/o - 7\/(-10). Which is the third biggest value? (a) 3.5 (b) z (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 715\/56 + -3053\/252. Find the common denominator of -125\/168 and z.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2 - 3\/(-6). Which is the closest to -3? (a) 5 (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -25*d - 587. Let u be i(-24). Solve 16 = 17*b - u*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2873 - -2880. Solve 5*s - 23 = 3*m, -19 = -m + 2*s - o*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:17 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 3*i**4\/8 - 125*i**3\/3 - 5*i**2 - 6*i. Let b be h(31). Which is bigger: 27 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*i + 31*i = 54*i. Which is bigger: i or -1\/5123?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135424*p**4\/5 - 407008*p**3\/5 - 273057*p**2\/5 - 295*p - 2\/5 = 0. Calculate p.\nAnswer: -2, -1, -1\/368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4792 + 9141. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93\/6691 (b) -2 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17094 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -2\/49, 0.5, 30, 1.4, 5, -0.4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.398 - -0.002. Which is the nearest to f? (a) 2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-36)\/(-9) - 2. Solve 8 = 3*t - 7, 3*s + q*t - 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -31. Let q(h) = -h**3 - 3*h**2 + 7*h + 5. Let z be q(f). What is the biggest value in 3\/8, -1, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.041?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1302010103 (base 4) to base 6\nAnswer: -14003015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 5. Let z be (5 - 52\/10)*-5. Let n(m) = 4 + 5 + 34*m + z - 37*m + 1. Let g = 3 - -2. Give g*i(q) + 2*n(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 0*h**3 - 2 - 11*h + 2*h**3 + 7*h**4 + 2*h + 7*h**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69171141 to the power of 1\/2, to the nearest integer?\nAnswer: 8317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 3738?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -1. Let v = -3.1 + 0.1. Let d = s + v. Which is the nearest to -0.2? (a) -0.5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1970 - 1946. Calculate the greatest common divisor of 1272 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1654645, -2, 6, 0, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368 not equal to 222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(36\/42)*((-4)\/184)\/(35\/(-10))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:55 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1398.377 millilitres?\nAnswer: 1.398377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1760 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.0803\nAnswer: -0.00803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Let q be 18\/10 - 608\/760. What is the closest to 2\/21 in 2, q, 4, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 + 17*p**4 - 52*p**4 - 9*p**2 + (p - 3*p + 0*p)*(-1 + 1 + p**3) - 2*p**2 + 2*p**2 - p**4 + (12*p**3 - 5*p**3 + 0*p**3)*(-4*p + 0*p + 2*p).\nAnswer: -52*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -68. Let r = -71.99855 - k. Round r to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 9*t**2 + 314919*t - 314925.\nAnswer: -3*(t - 325)*(t - 1)*(t + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56422176 is divided by 7052763?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 46*p**2 + 16*p - 8. Let d(b) = -34*b**2 - 17*b + 9. Let s(h) = 3*d(h) + 2*l(h). Let q(j) = 5*j**2 + 9*j - 5. Calculate 13*q(z) + 6*s(z).\nAnswer: 5*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5.2. Let f = n - 1.5. Which is the third biggest value? (a) f (b) -1\/6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 65.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1.23\nAnswer: 3.69","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 wwwwjwwjwj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 5*p = 13. Solve 2*i + 4*g - 16 = 0, -i - 4*g - p = -15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2288, 2287, 2286, 2285?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1775 divided by -5.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 + 12 + -1 + -5)\/(4\/4). Sort o, 3, -3.\nAnswer: o, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 9*l**2 + 6*l + 13. List the prime factors of o(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 9}. What is prob of picking 1 j and 1 c?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -62, -141, -252, -395, -570?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -62 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:46 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and -236122.\nAnswer: -236135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 304 + 2*a - 2*a - 31 - 69.\nAnswer: 2*a - 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67274353129*u**3\/4 - 7262444*u**2 - 784*u.\nAnswer: -u*(259373*u + 56)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Does 18 divide (-1)\/r + 290\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(4 - (-1 - -3)). Solve 2*s - g - 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r + 28. Let g(f) = f**3 + 6*f**2 - 6*f + 8. Let p be g(r). Let z(u) = u + 2. Let k be z(-2). Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 45 = 3*d. Let c = 23 - d. Solve -h + 9 = u, -3*u = h - c - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -71\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4\/(-12)) + (3 - -137) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -15\/4 (c) -4 (d) -0.5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 635 + 1895 = 0. Is z a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 - 2*o**2 + 3*o + 4. Let d be r(-1). Suppose -4 = -d*s + 2. Solve -s = t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000348608 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34565 (base 8) in base 15?\nAnswer: -4559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221\/4 + -55. Which is the closest to -2? (a) 4 (b) m (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Let f(h) = -3*h - 6. Let r(j) = f(j) + 2*o(j). Suppose 3*i + 23 = 2*p - 48, -3*i = 4*p + 101. Let l = -29 - i. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189337*m*p + 882039*m with respect to p.\nAnswer: 189337*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2360*g**2 + 2*g + 2*g - 2*g + 4*g.\nAnswer: 2360*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 86. Let u be t(-14). Solve -2*h - u*h - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*t - 44, 4*t - l = 3*l + 40. Let a = t + -11. Let x = 6 - 6. Solve x = o - 1 - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8327 - 8326.96439. Let z = u - 0.033081. What is z rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -17. Let t be a\/(-8) - (-4)\/32. Suppose u = 2*x + 8 + 6, 5*x + 15 = t. Solve 5*n = 3*n + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/810 and -161\/67230.\nAnswer: 67230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 15, -1, -25, -57, -97, -145?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3911154816 to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**7\/14 - t**6\/10 - 3*t**5\/80 + t**4\/16 + 330*t + 2. Solve a(o) = 0.\nAnswer: -1\/2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**12)\/(y**(5\/3)\/y*y)*(y**(-2\/3)*y)**(4\/5))**(-20) assuming y is positive.\nAnswer: y**248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/1089 and 79\/61281.\nAnswer: 674091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/26746, -4, -0.2, -3, -5?\nAnswer: -1\/26746","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -11, -22, -27, -20, 5?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 95, 198, 313, 422, 507?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/9*(-9)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39653021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -160649 or -160646?\nAnswer: -160646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(3\/7))*(m**(-20)\/m)\/m assuming m is positive.\nAnswer: m**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -1 - (-45 - -57)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417284, -833581, -1249878, -1666175?\nAnswer: -2082472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -147, -334, -597, -936, -1351, -1842?\nAnswer: -2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.2. Suppose 3*z - 2*q = -21, -4*z - 32 = 3*q - 7*q. Let m = -1\/12 - 7\/12. What is the nearest to 0.1 in o, z, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = -163. Let i = d - 22. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + t + 19 = 0, 3*t - 29 = 4*i + 2*t. Let x be (5\/3)\/(1\/(-15)). Let f = i - x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11498157, -11498180, -11498203?\n\"Answer: -23*q - 11498134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**2 + p + 2. Let a be l(1). Let z be (3\/2)\/(0 + a). Are z and -2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrmrmmmrrmrr. Give prob of picking 1 r and 3 m.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 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: Let a = -835 + 1479. Suppose -13*l + 17*l - a = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*p + 5*g, 0*p + 5*g = -4*p + 35. Suppose -p = 2*n - 5*n. Let x(i) = 2*i**3 + i**2. Let o be x(1). Solve n = -2*d - o*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a + 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 623*w**2 - 6485*w + 8638. Calculate v(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*1 + 3.\nAnswer: 3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -95*n**3 - 19*n**2 - 19*n + 19. Let b(z) = 16*z**3 + 3*z**2 + 3*z - 3. Give 19*b(s) + 3*k(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 - 8*q - 29. Let n(d) = -d**2 - d - 6. Let x(r) = 4*n(r) - v(r). Give x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 35*r**2 + 32*r - 49. Let s be n(-36). What is the greatest common factor of 20 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/360 and 43\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 40.49. Let o = x + -16.51. Let m = 15.9983 + o. Round m to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 8*v**2 - 1 + 2*v - 14*v**2 - 3*v. Let t be b(-6). Suppose 0 = -5*u - t*c + 10, 0 = 3*u - 2*c + 2 - 3. Which is smaller: -2\/25 or u?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445457 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 + 9*q + 2. Let f be y(-3). Is (70\/4)\/(f - 9\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/12 - u**3\/6 - 3*u**2\/2 + 25*u. Suppose -9 = -3*r - 0. Let n be v(r). Solve 2*w + n + 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/30 + 1522*k**2. Let r(g) be the second derivative of 2*g**3 - g. Calculate u(r(j)).\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:40 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:23 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 39*t**2 + 47*t**2 + 0*t**2)*(-3 + 2 + 3)*(1 + 0 - 2) + 0*t**2 - 2*t**2 + 3*t**2 - t**2 + 3*t**2 + 0*t**2.\nAnswer: -13*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 224924*h - 10118880.\nAnswer: -4*(h + 45)*(h + 168648)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*f - 34, -3*f = a - 5*a - 4. Let i(y) = -f*y + 32*y**2 - 9*y + 4 + 1 - 43*y**2 + y**3. Is i(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/50*26\/624*-8\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 16*t - 121 + 81, 3*t - 21 = -4*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.1 (b) -1\/24 (c) -8\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(-3*(-1)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6)\/(1\/(-8)). Suppose -2*w - g = -3*w. Suppose 2*l - 188 = 4*v, -w*v - 7 - 433 = -5*l. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1741574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93912 and 160992.\nAnswer: 1126944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8341*n = -18086 + 685366 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223 - 0?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47436 and 300.\nAnswer: 1185900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 + -756. Let r = -240.6 - u. Let l = -0.46 - -0.06. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 133 and 0.2.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 4*l. Suppose -3*o + 30 - 6 = l. Let d = o + -5. Solve -k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x)\/x**(1\/5))\/((x\/x**4)\/((x\/(x*x\/(x**(-7)*x))*x)\/x)) assuming x is positive.\nAnswer: x**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37660, -47897, -64966, -88873, -119624, -157225, -201682?\n\"Answer: -f**3 - 3410*f**2 - 34249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-180) - 3\/(-18). Which is the third smallest value? (a) f (b) 1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 584*f**3 - 2*f + 1. Let l be a(1). Let w = l + -254. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -558 - -558.76. Let s = 1.4 + -1.5. Which is bigger: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -d. Let q be (9\/d - 1)*0. Suppose -7*w + q*w + 11340 = 0. What is w rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 708681?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 173599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 713*d**2*o**2*x + 118*d**2*o**2 - 2*d*o**2*x - 2*d*x + d - 75074*o**2 + o*x - o wrt d.\nAnswer: 1426*o**2*x + 236*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/42 + 213\/(-7). What is the remainder when 92 is divided by (q\/8)\/(3\/32*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -658, -2574, -5760, -10216, -15942?\n\"Answer: -635*f**2 - 11*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - (8 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144502 is divided by 20638.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 - 3*c + 9. Let k be (-3 + 0)*2 - (3 + -5). Is 11 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 2*f**3\/3 - 2*f**2 - 711*f. Give j(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4402*b - 590*b - 179712 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.937949 millennia in months?\nAnswer: 83255.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1470*j + 4374. What is m(-5)?\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75.9 and 0.03?\nAnswer: 2.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*(j\/((j\/(j\/((j\/j**(-8))\/j)))\/j))\/j))*j**(-5\/9)*j)\/(j\/(j**(-3)*j))**(12\/13))**(7\/4) assuming j is positive.\nAnswer: j**(-3409\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - z + 5300, -247*q + 251*q - 10600 = -4*z. Calculate the greatest common divisor of q and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -435.16?\nAnswer: -7397.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4672)\/(-803) - 2\/(-11) is divided by (2 + (3 - 0))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*c = 80, 4*h + 183327*c = 183332*c + 170 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(20)\/(sqrt(12)\/sqrt(3)) + 2*sqrt(20)\/sqrt(4) + sqrt(5)))**2 + -4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1087346 and 1690.\nAnswer: 5436730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - v + 7 + 2*v**3 - 1 + 4 + v**4 + v**2 + 2*v**2 as o + j*v**2 + b*v**4 + i*v**3 + h*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.36 (b) -13 (c) 10.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 - h**2 - 1. Let t(s) = -s**3 + 1. Let w(l) = o(l) + t(l). Let q = 39 + -38. What is w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-9*q + 3*q - 2*q)*(2*q**3 + 0*q**3 - q**3).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12744 and 10800?\nAnswer: 637200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r + r)*((-3 - 1 + 2)*(1 - 1 + r) + 1541*r - 1506*r + 1016*r) + 0*r**2 + 3*r**2 + r**2 to the form a + k*r**2 + x*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-2)*(-8)\/(-144) - 0. Let m = 312 - 5302\/17. Let q = -12.1 - -9. What is the third smallest value in u, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7 + 2.3. Let f = -3 - -1. Sort 0, f, i in decreasing order.\nAnswer: i, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-15 - (-28 - -10)) - 19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*f**4 - 13*f**3 - 1764*f**2.\nAnswer: 720*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/105)\/((48\/(-28))\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a factor of 9826575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101 - 2*q + 1077 + 1090 - 3268 + 2*q + 15*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 5*f**2 + f - 1. Let v be d(5). Let y(p) = -7*p**2 - 22. Let j be y(-5). Let o = j - -197. Solve v*t - 4 - 4 = o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*k - 92*k + 268. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by 17\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 19 - 6 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u = -3*g + 4593, -4*u + 5*g + 6115 = 0. Let r = u - 812. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*k - 34, 2*k = k - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174*d = -1240*d + 264 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249245 is divided by 250.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-6)*4)\/(-2). Suppose 5*j - 22 = k, 2*k = -5*j + 24 + w. Solve -k*r = g + 14, 2*r + 2 = 2*g + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 34*p + 24. Give l(-34).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*o - 7 - 6 = 184*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 4\/3, -1, -0.09?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 623.786*293\nAnswer: 182769.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 6 - 1 - 2. Let i be u(-7). Suppose i*k - k = 92. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - (-16)\/9. Suppose -8*j = -x*j. Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-24)\/198)*(-17)\/((-408)\/32)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3356, -6686, -10016?\nAnswer: -13346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -33.439, -10, -2, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 plus 18.89?\nAnswer: 18.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (-1 - 1) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146228 rounded to 3 decimal places?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (165\/(-352))\/((-6)\/16984). Let b = 925 + 396. Let a = b - c. What is the common denominator of -25\/48 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24541 (base 9) to base 10.\nAnswer: -16480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(405)*-1*2 - (6*sqrt(405)*2)**2 - ((sqrt(405) + -3)*5 + -3)) + 2.\nAnswer: -58300 - 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 13) to base 15.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30451816.\nAnswer: 2, 23, 359, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 25*p = 111. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -94. Let m = -466\/5 - g. Let t = 13882.93 + -13883. Sort t, -0.3, m.\nAnswer: -0.3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 23*x**2 - 48*x + 168. Let z(l) = 4*l**3 - 34*l**2 - 72*l + 232. Let j(m) = 7*y(m) - 5*z(m). Suppose j(p) = 0. Calculate p.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335666372*v**3 - 149690782*v.\nAnswer: 2013998232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 23689*d**3\/2 - 140280335*d**2\/2 + 140304025*d\/2.\nAnswer: -d*(d - 1)*(d + 11845)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, 3, 0, 4, -2 in descending order.\nAnswer: 253, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3 - 36*w**2 - 33*w = 0. Calculate w.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0, -3 in decreasing order.\nAnswer: 0, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399222 is divided by 276.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5 - 3556*f**4 - 209672*f**3 + 884836*f**2 - 671610*f = 0.\nAnswer: -61, 0, 1, 3, 1835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -6160?\nAnswer: 6159.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9 + x - 3*x - 3. Is t(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/140)\/((-12)\/16). Let x = k - 113\/70. Is x < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d**5 + 4*d**4 - 36*d**3 - 16*d**2 + 16*d = 0 for d.\nAnswer: -2, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16339*y - 865965. Give r(-53).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qxq.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27799057561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 21674475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: cda1 (base 15) to base 7\nAnswer: 241021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3365 + 158171\/26920. Find the common denominator of u and 69\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -1, 187055 in ascending order.\nAnswer: -3, -1, 0, 4, 187055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -2715, 5\/3, 3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 4. Let j be p(-6). Let u(b) = -b**2 + 11*b + 23. Is u(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**7\/210 - l**5\/12 - 2*l**2 - 2*l. Let r(z) be the first derivative of a(z). Find the third derivative of r(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3183406*z = 3*p + 3183407*z - 2, 0 = -4*p - 5*z - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4180 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12591083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(343)*1 + -4 - 3*(-1 + sqrt(343))))**2*1.\nAnswer: 112*sqrt(7) + 5494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20209 + 7?\nAnswer: 20216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/120 + g**5\/20 + 5*g**4\/24 - g**3\/6 - g**2. Let k be (-3 - 1)*(1 - 2). Give p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 54975 + 109625 + 4*u - 2*u - 54692.\nAnswer: -u - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/(3\/45). Let t(c) = -c**3 - 9*c**2 + 11*c + 8. Let x be t(w). Let b be (-9)\/(-15)*x\/(-3). Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14539\/2 + 2747903\/378. Calculate the common denominator of z and 107\/18.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**4\/2 + 2*j**3\/3 + 4*j + 5. What is y(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:30 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3854 and 153589608?\nAnswer: 3854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 - -1001?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, p: 7, a: 6}. Give prob of picking 2 a and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - -3) + (1 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2582 and -8\/3.\nAnswer: 7746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23016.19232 rounded to the nearest 10?\nAnswer: 23020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*n - 7231, 2*n = -5*d - 273 + 3173. What is the lowest common multiple of 6 and n?\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*2\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 504*q**2 + 1980*q + 1968.\nAnswer: 3*(q + 2)**2*(q + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/2)\/((-96)\/403456). What is l rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 173897 or -0.6?\nAnswer: 173897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 44 = -2*b + 32, -c - 5*b - 26 = 0. Let p(n) = 26*n**2 + 16*n - 16. Let a(i) = -5*i**2 - 3*i + 3. Calculate c*a(g) - 3*p(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/35925687 and -59\/570249.\nAnswer: 35925687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/10)\/(z**(-9)*z*z) assuming z is positive.\nAnswer: z**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = -65. Suppose -8*h + 38 = -q. Suppose 0 = 14*m - h*m - 136. Calculate the highest common factor of 136 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -828 - -827. Let p be 7\/(-7) - (d + -54470000 + 0). What is p rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(3264))\/sqrt(3) - (4 + 5 + (5 + sqrt(17)*-2)**2).\nAnswer: -102 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-42))\/((-5)\/(-21) - (-213)\/(-1278)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101325.\nAnswer: 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1494594 and 432.\nAnswer: 35870256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, -1330, -1990, -2650?\nAnswer: -3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -28, -3, -20, 1 in decreasing order.\nAnswer: 5, 2, 1, -3, -20, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447672*t**3 + 43433*t**2 + 2*t - 2?\nAnswer: -2686032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95049 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 7*p + 1. Let j be g(-3). Suppose 5*q + 4 = j*q. Let d = 3 + -4. Which is the nearest to d? (a) -1 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**5\/60 + 5*a**4\/8 - 5*a**3\/2 + 5*a**2\/2 - 10. Let m(v) be the second derivative of j(v). Is 13 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 114. Let g = -76 - p. Is 1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 - -15)\/((-1)\/(-3)). Suppose 0 = -2*b + 9 + 9. Solve -4*f - b - v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*c**2*q*z**2 + 30*c**2*q - 2*q*z**2 - 3*q + 8*z wrt c?\nAnswer: 16*c*q*z**2 + 60*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21*(-1)\/((-9)\/(-6)). Let d be 8\/(-28) - 80\/a. Let i be 3\/(-6)*d - 1. Solve 0 = i*f - 8 + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 2*i**2 + i**2 + (-4 + 4 - 2*i)*(5*i + 4 - 4) - 3*i + 3*i + i**2)*(81 - 41 + 25).\nAnswer: -455*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 61 = 61 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 29*l = 33*l - 36, 5*v + 4*l = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t - 2*i, -5*i + 6 = t + 3*t. Let w be t\/(-42) + (-927)\/189. Let c(z) = -z. Let d(u) = u**2 + 4*u. Let j(h) = -c(h) + d(h). Give j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214546 (base 7) to base 15\nAnswer: -b261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 - 5. Suppose -c + 3 = 1. Suppose -c*g + 2 = 14. What is i(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11690, 23378, 35066, 46754?\nAnswer: 58442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/926240 and 71\/102899475?\nAnswer: 3292783200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 559\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 3 + 6 - 2*k + 3*k**2 + (-4*k + k + k)*(-1 + 1 + 5*k).\nAnswer: -7*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 1098 = 20*u. Let q be -2 - -2 - -1 - 57. Let v = u + q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -601\nAnswer: -5\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1310.8 + 1310.80035936. What is y rounded to six dps?\nAnswer: 0.000359","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7 = 1. What is the common denominator of -91\/16 and (-23)\/m - 6\/(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:33 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*x + 55*x - 175*x - 2 + 2 + 2*x - 1 + 2*x + 1 + (-2 + 0 + 4)*(-x + 5*x - 2*x).\nAnswer: -152*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.2100257999 - 0.139.\nAnswer: -17.3490257999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(9\/12 + -1). Suppose -p*l + 5 + 11 = 0. Which is the closest to 0? (a) 0 (b) -6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01499 and 2.\nAnswer: 2.01499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 (base 6) in base 9?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*z + 82*z - 230. Calculate the remainder when 297 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 79792.\nAnswer: 79792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bvvbvbvvvb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiiw when four letters picked without replacement from eewwieiwweweww.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21634333 is divided by 1081715?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -317, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 93. Let m be (-220)\/(-14) + ((-18)\/o)\/3. What is the greatest common factor of m and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqbiqqqqmmmbqqebq. Give prob of sequence qm.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/6 - 5*l**4\/12 - 30*l. Suppose o(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1013922*s + 338076*s + 338074*s + 337769*s - 1 + 2.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, -3\/8, 0.129, 2\/79, -12, -4?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = 7*l + 63. Solve 2*w + 12 = 4*x, x + 3*w = -l*x + 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/7 + 510*b**2\/7 - 147*b + 516\/7.\nAnswer: 3*(b - 1)**2*(b + 172)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*l + 20, l + 7 = 16*g - 18*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10651 times 0.042\nAnswer: -447.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -60*d - 483. Calculate c(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**3 - 1. Let w(q) = -q. Let c be w(-8). Let n = 6 - 5. Suppose t - c = 3*s, n = -4*t + 2*s + 3. Calculate j(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = -10*z. Solve z = 7*h - 0*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/8 + g**3\/6 - 5*g**2\/2 - 3*g. Let a(k) be the first derivative of d(k). Differentiate a(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:43 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 279 and 52080.\nAnswer: 156240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = u - 4. What is the lowest common multiple of -1 - 3 - 110\/(-10) and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -h, 4*h = 4*a - 0 - 8. Let p be 3 + ((-2)\/a - 2). Which is smaller: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 15, 4, -4 in decreasing order.\nAnswer: 15, 4, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1159*d**3 + 14*d**2 - 4*d + 5. Let q(w) = 1155*w**3 - 19*w**2 + 5*w - 6. Calculate -3*q(r) - 4*u(r).\nAnswer: 1171*r**3 + r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-672)\/63)\/(912\/6156)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9363323.4 and 4.\nAnswer: 37453293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 379861 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 818.93 and 2802.204?\nAnswer: 1983.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1718247 - 6\nAnswer: 1718241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.45 - -647.40945486.\nAnswer: 622.95945486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 85. Let i = 78 + o. Is 23 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -74*p**3 + 5*p**2 - 112. Let q(t) = t**2. Let h(j) = o(j) - 5*q(j). What is the derivative of h(i) wrt i?\nAnswer: -222*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 214568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0 (c) 2.7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 8.1. Let j = 4 + 9. Let t = z - j. Which is the smallest value? (a) t (b) -4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 28044*y**2 - 224208*y - 448320 = 0. What is y?\nAnswer: -9340, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or 173492\/5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 59. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078810243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) - (-1 + sqrt(76) + -1 + sqrt(76)))**2 + -1)*-4.\nAnswer: -316 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1507232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 5}. What is prob of picking 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3. Let u(z) = 1 + 8*z**2 + z - 4*z + a. Let d be u(1). Solve -d + 1 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-553)\/(-33022)*-57*(-4)\/14?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(3\/20))**(-34\/5)*(f**0*f**(1\/3)\/f*f)**(5\/6) assuming f is positive.\nAnswer: f**(-167\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -y + 78 + 340, 426 = 2*a - 3*y. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -206020, -411946, -617872, -823798?\n\"Answer: -205926*l - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + 1111111000011000?\nAnswer: 1111111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1027*d + 1037. Let m be i(1). Solve -2*s = -m, 2 = -k + 4*s - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10573.313 + -197534.\nAnswer: -186960.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/2 - 31\/6. Let 1\/3*i**3 - g*i - 1\/3 + 1\/3*i**2 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**5\/15 + 5*u**4\/4 + 38*u**3\/3 + 122*u**2\/3 + 56*u - 704. Determine g, given that h(g) = 0.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 144408465 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 310*q**4 + 28*q**3 + 1355*q**2 - 1.\nAnswer: 120*q**2 + 7440*q + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/((-1)\/5*70\/(-35)*45)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2 - 2*i - 1. Let k = 107 - 104. Suppose 3*o - 24 = 4*t, -k*t + 4*o = 24 + 1. What is d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51276 - -51265 - (-1 + -144 - 1)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1581*f**2*r**4 + f**2 - 28*f*r**5 + 2*f*r + 1919*r + 8 wrt r?\nAnswer: -18972*f**2*r**2 - 560*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37977753, 37977752, 37977753, 37977756, 37977761, 37977768, 37977777?\nAnswer: 37977788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 13)\/((-10)\/(-40)*-4 + 7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1145232)\/24354 - 39\/(-1599).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -5*k**8\/28 + k**4\/12 + 2*k - 4. Let l(h) be the first derivative of x(h). Find the third derivative of l(z) wrt z.\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234 times 0.12?\nAnswer: 0.02808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1016, -1019, -972, -833, -560, -111, 556, 1483?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*k**3 - 1 + 4*k**3 + 2*k**2 + (23 - 42 + 24)*(-5 - 2 + 4)*(-3*k**3 + 5*k**3 - 4*k**3) as b*k + i*k**2 + l*k**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1231638 and -73\/6774009.\nAnswer: 13548018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -0.09, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 4*l - 6. Let c(x) = -x**2 + x + 1. Determine -5*c(i) - r(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 4, r: 9}. What is prob of picking 2 r?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/(-6))\/(2\/6). Suppose -w = -6*w + s. Is 3 a factor of (w\/8)\/(2\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 878 + -872. Put -1, h, 18 in ascending order.\nAnswer: -1, h, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w + 32 - 3*w - 85.\nAnswer: w - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbsbssbbbb. What is prob of picking 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (522\/(-4437) + (-86)\/136)*(-2)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 3 + 0 + f**3 - 1 + 2*f**2. Let x be w(-3). Let h = x + 4. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*x + 79*x + 69*x - 3696 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11695 * -1438\nAnswer: 168.1741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 4. Calculate the lowest common multiple of ((-60)\/(-100))\/(2\/10) and i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 76*m**2 + 2287*m - 161995. What is g(79)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 - 39*d + 18*d + 21*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.72 - -2.7748. Let g = -0.05480531 + w. What is g rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 - (11 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -157 (b) 1 (c) -33\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -413, -816, -1207, -1580, -1929?\n\"Answer: x**3 - 410*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 8}. Give prob of picking 4 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 35 = -5*g - 3*l, g = -5*l - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*((((z**(-2\/21)\/z*z)\/z)\/z)\/z)\/z)\/z)\/((z\/(z\/(z*z**(-2\/121))))\/z) assuming z is positive.\nAnswer: z**(-5282\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 + -227. Sort -40, -15, p, -3 in decreasing order.\nAnswer: p, -3, -15, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2405 + -2370. What is the closest to a in -5\/2, 5, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 25. What is the highest common divisor of r and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.12876.\nAnswer: 0.38628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -4. Let x = j + -27. Which is the closest to x? (a) 4 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339*c*m*p - 4*c*m - 64*c wrt p.\nAnswer: 339*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 410435\/155124 - 30\/4309. Calculate the common denominator of n and 79\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3 - 555*m**3 + 556*m**3 - m**2 + 7. Let t = -9 - -11. Suppose 0 = -t*i - i. Give h(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let w(l) = 14*l + 8. Suppose 0 = -2*g - u + 5, 3 = -2*g + 3*u - 4. Let v(n) = g*w(n) + 6*o(n). Is v(11) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 437 (c) 3801 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -112 + 37 + (-27 - 5).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 366, 824, 1468, 2298, 3314?\nAnswer: 4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 852?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.123044 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*d - d + 918 - 171 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1342216, 2684435, 4026652, 5368867, 6711080?\n\"Answer: -k**2 + 1342222*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k - 4. Let r be y(3). Suppose -4*c + r = 44. Which is smaller: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 + 9 = 0. Let g = 2 + -2. Solve -3*u = -4*k + z, u + g*k + 3 = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1947590?\nAnswer: 2, 5, 59, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*q = 34, 2*q + 2*q = -2*f + 36. Suppose -1 = -u + 3. What is the highest common factor of f and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443968357 rounded to the nearest one million?\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 141\/(-21) - (-4)\/(-14). Let d(n) = n**2 + 8*n + 11. Let j be d(a). Suppose 0 = y - 5*z - 67, y + 215 = j*y - z. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 14*r**2 - 12*r + 13. Let z be o(-13). Let j be (-3 + z)\/(6\/10). Sort 4, j, -4 in descending order.\nAnswer: 4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(132))\/sqrt(12)*2)**2 - (0 + 3*sqrt(99) + -4)**2.\nAnswer: -730 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/31))**(-2\/9)\/(r*r*r**34*r*r*r**(1\/11)) assuming r is positive.\nAnswer: r**(-39209\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5790636 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18e463 - 1?\nAnswer: -18e464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/(2\/(-3)). Suppose 0 = 3*m + l*m. Let u = m + 5. Sort 3, 2, u in descending order.\nAnswer: u, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(11) + -2 - sqrt(11))**2.\nAnswer: -8*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 921278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - v = 4*d - 179, -d + 2*v = -182. Let h be (-11797)\/d + (-1 - -1). Let s = h - -584\/9. What is the common denominator of s and -23\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 12. Let z = -11 - h. Let f = -2 - 0. What is the third biggest value in -0.3, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (453\/8)\/(15\/10). Let h = 114826 + -4132393\/36. Let t = h - q. What is the closest to -1\/3 in -3, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-330)\/(-50))*(-42)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10) + (12 + 1 - (-45 + 196 + -98))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396, 2349, 3314, 4291, 5280, 6281?\nAnswer: 7294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 6 - 4*t**3 + 3*t**3 + 36 - t. What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/36*1*(-162)\/(-135)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**4 + 41*c - 41*c)*(-32*c + 16*c - 43*c - 140*c - 5*c).\nAnswer: 2652*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 763, -68, 3 in decreasing order.\nAnswer: 763, 3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 36*o - 29. Suppose 4*r - 15 + 82 = 5*q, r - q = -16. Let c be (2 + r)\/(o + -2). Calculate the greatest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35338 or -35339?\nAnswer: -35339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 12 - 72. Suppose -3*b = 2*b - q. What is the third derivative of -3*i**2 + b*i**2 - 3*i**2 - i**2 + 3*i**3 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080415?\nAnswer: 5, 109, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174246983?\nAnswer: 174246983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2344143 and 573.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 102, 287, 546, 879, 1286?\n\"Answer: 37*a**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.088, -222, 57\/4, 0 in increasing order.\nAnswer: -222, -2.088, 0, 57\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1515 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2176 and 59\/8359648.\nAnswer: 33438592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let g(d) = 475641*d. Calculate o(g(m)).\nAnswer: 452468721762*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/8 - (-2)\/(-1). Let q = -0.05 - -1.05. Let l = q - 3. Which is the nearest to v? (a) -0.2 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.56038 to 1 dp.\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 8. Let n(i) = -10*i - 23. Let l(o) = 7*g(o) - 2*n(o). Calculate the least common multiple of 14 and l(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4. Let n be (-39)\/132*z - 0. Let p = n + -1\/22. Which is the nearest to p? (a) -3 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-2)\/12. Let a = -0.84 + 2.94. Let l = 2.2 - a. What is the nearest to p in -5, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 161885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, -120, -164, -6, 6 in decreasing order.\nAnswer: 6, 2, -1, -4, -6, -120, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5\/4 - 835*f**4\/4 - 1075*f**3.\nAnswer: 5*f**3*(f - 172)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*j + 390, -3*u - 730*j = -725*j - 310. Calculate the remainder when 756 is divided by u.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/5 - 3536*j**4\/5 + 465622*j**3\/5 - 15922576*j**2\/5 - 838152*j + 28717920 = 0. Calculate j.\nAnswer: -3, 3, 70, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190064547 is divided by 870.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200308521?\nAnswer: 3, 7, 1362643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4138*q**2 + 4150*q**2 - 3*q - 8355*q**2 - 394*q**3 wrt q?\nAnswer: -2364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 9. Let f be p(-3). Suppose 4*a + q + f*q = -27, 3*q - 38 = 5*a. Let g(h) = -h**3 - 3*h**2 - 9*h - 17. List the prime factors of g(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2673837 is divided by 39321.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-38)*(p*p**(-3\/7))\/p**(-1\/4) assuming p is positive.\nAnswer: p**(1133\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4483, 4675, 4869, 5065, 5263, 5463?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**7\/2520 - k**6\/360 - k**5\/120 - k**4\/72 + 11*k**3\/3 + 2*k - 21. Let n(h) be the third derivative of a(h). Factor n(j).\nAnswer: -(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65770 (base 10) to base 7\nAnswer: -362515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 21*j**2 - 111*j + 90. Let k(y) = -3*y**2 + 16*y - 13. Let z(l) = 27*k(l) + 4*t(l). Let z(b) = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -4, -24, -62, -124?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14455379?\nAnswer: 53, 107, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.64? (a) 2\/7 (b) -5\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-414)\/(-92))\/((-9)\/4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 72754 = -7*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912522975 and 2945?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 5 - (-4 - 0)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005707091 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdx. Give prob of sequence xdx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16636993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-8))\/((-1)\/(-4)). Suppose 8 - 18 = -k*i. Suppose 0 = -i*g + 3*g - 21. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 d, 1 x, and 1 i when four letters picked without replacement from {z: 2, p: 1, u: 4, d: 7, x: 1, i: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**3 + 0*y**4 - 1\/20*y**5 + 0*y - 5*y**2 + 0. Let u(z) = -3*z - 3937 + 2*z + 3937. What is a(u(d))?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z**3 - 9*z. Let h(t) = -5*t**3 + 2*t. Let a be 1\/(-1)*(-4 - -6). What is a*k(m) - 9*h(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/32 - 1\/(-8). Let u(r) = r + 1 - 1. Let s(w) = -2*w**2 - 3*w. Let a(z) = y*s(z) - 6*u(z). Let j(l) = 2*l**2. Give j(a(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5.17*0.03\nAnswer: 0.1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(72)))**2 - sqrt(22)\/(2*sqrt(1100)).\nAnswer: 3839*sqrt(2)\/20 + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1886553 divided by 20.\nAnswer: 1886553\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 43568, -3, 2, 5 in decreasing order.\nAnswer: 43568, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:42 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:42 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c + -62c?\nAnswer: -5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (225*u**3 + 2639*u**3 + 12797*u**3)*(-2 - u + 2) to the form d*u**3 + h*u**4 + g*u + z*u**2 + w and give h.\nAnswer: -15661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + 141. Let l = 0.8 - 0.64. Let q = l + 0.14. Sort b, q, 5 in descending order.\nAnswer: 5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287855 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 12:46 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 - -25. Let n = 659 - 285.4. Let l = g - n. What is l rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4364154 and 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k. Let u(q) = 44*q**2. Determine u(h(l)).\nAnswer: 704*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 2*p**4 - 2*p**3 - p**3 + (2*p**3 + 0*p**3 - p**3)*(1 + 2*p - 1) - 39 + 26*p**4 + 39.\nAnswer: 26*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + m + 3. Let x be i(-6). Calculate the lowest common multiple of (-24)\/(-4)*1 + x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/40)*d)\/d**(-2\/45))\/((d\/((d\/(d\/(d\/(d*d**(7\/4)))))\/d))\/d**(12\/7)))**(-20) assuming d is positive.\nAnswer: d**(2435\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + 1 - sqrt(39)\/(sqrt(15)\/sqrt(5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8882 divided by -8882.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.018676 nanoseconds?\nAnswer: 0.0000000000336446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48633*q**3 - 97091*q**3 + 48459*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 2 - 61*d**4 - 14*d - 2*d + 52*d**4 to the form x*d + z*d**3 + p*d**4 + n*d**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6921409?\nAnswer: 11, 43, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 35*o**2 + 70*o + 135. Let q be g(-33). Sort 10, -1, -2, -5, q in decreasing order.\nAnswer: 10, q, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -25. Suppose -2*m + 42 = 4*j, -m + 4*m - 41 = o*j. Let f = m + 23. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 3, u: 5, t: 3}. What is prob of picking 2 t and 1 d?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*d + 1443 = -4333 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 13*i + 28. Let h be u(12). Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 59*w - 56. Let k be x(-16). What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:50 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*sqrt(931) + 4)*1 - (-2 + (sqrt(931) - 5*sqrt(931) - sqrt(931)) - (sqrt(931) - (-1 + sqrt(931))*3)))**2.\nAnswer: 672*sqrt(19) + 33580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 + 7*u**5\/30 + 17*u**4\/8 - 14*u**3\/3 + 6*u**2 - u. Is 14 a factor of w(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 14*m**2 - 11*m - 22. Let g be v(13). Let t = 0 + 4. Let j be 39\/t - (-1)\/4. What is the highest common divisor of g and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1283 - 1644 = 2*f, -4397 = 3*f - 2*i. Let v = 821 + f. Calculate the common denominator of -87\/2 and (4 - 0) + v\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39124 and 650299566.\nAnswer: 1300599132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -25. Suppose -f*h + 118 = -38. Solve -h*p - 8 = -15*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155aca (base 13) to base 10\nAnswer: 526939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 101336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176695.\nAnswer: 5, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and (18 - (-9 - 197)) + -12.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1248613, -1248619, -1248637, -1248673, -1248733, -1248823, -1248949?\nAnswer: -1249117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**4 + 5*t**4 + 0*t**4 + (15*t**3 - 21*t + 21*t)*(-671 - 43*t + 671).\nAnswer: -649*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c - 34. List the prime factors of g(22).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.402728um to millimeters.\nAnswer: 0.000402728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxend. Give prob of sequence nexd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2932 and -0.016?\nAnswer: 2931.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-361)*114\/48*(1 + 2\/(-3))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 113*h**3 + 2*h**2 - 4*h - 4. Determine m(-1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7 + 3. What is the nearest to -1\/4 in -5\/4, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661172 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = s - 39 - 2, d = s - 26. What is the greatest common divisor of s and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-45)*(105\/(-18))\/(-7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-20)\/(-18060)*21.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x + 1. Let y be p(-1). Let d(z) = 33*z**2 + z. What is the units digit of d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/11853 and 11\/1317.\nAnswer: 11853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 - (-7 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -677.6597*2\nAnswer: -1355.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 + 1295*p + 38335. Calculate q(-37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/2*(-12)\/(-9). Let i be ((-378)\/(-35))\/(-9)*u*1. Which is greater: -10 or i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w - 3*w + 3*w)*(39*w**2 + 30*w**2 - 59*w**2) + (w**2 - 7*w**2 + 0*w**2)*(-2 + 2 + 2)*(3 - 3 - w) as i*w**2 + c*w + p + b*w**3 and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 23074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*m = -3 - 77, 3*u - 71 = -4*m. Let a = u - 13. Determine h so that 2*h + 1 - 3*h + h**3 + 11*h**2 - a*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 - (-5 - 1). Let y = 19 - 13. Let s = y + -1. Solve -x*q + z + 3 = -0*z, -5*q + 5*z - s = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 + 103*q**2 - 16*q + 250. Calculate y(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((-3*sqrt(80) - sqrt(80)) + sqrt(80))*5)\/sqrt(5))\/(sqrt(40)\/(sqrt(5) - (sqrt(15)*-4)\/sqrt(3))))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 3. Suppose d = 5*d. Let y be a(d). Suppose -4*c + 2*c = q - 12, -q + 8 = c. Solve -c*t - y = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646631321 to the power of 1\/2, to the nearest integer?\nAnswer: 25429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82, 177, 270, 361, 450, 537?\n\"Answer: -p**2 + 98*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + -c2739?\nAnswer: -c2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 10, -40.\nAnswer: -40, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 221*i + 831. Determine z(114).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 25*n**4\/2 + 133*n**3 - 199*n**2\/2 - 532*n + 198 = 0.\nAnswer: -11, -2, 9\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/31 and 93\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11423 - -205489\/18. Calculate the common denominator of s and 91\/58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 2261 = -m. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 - 37491*i**2 + 1617534*i - 1580040 = 0?\nAnswer: -12540, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - z = 11 - 85, 20 = -5*z. Suppose 1328 = 3*a - r, 0 = -5*r - 13 + 3. Calculate the highest common divisor of j and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10328, 40878, 90878, 159578, 246228?\nAnswer: 350078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2158)\/195 - -11)\/(6\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518881, 1037417, 1555953, 2074489?\nAnswer: 2593025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-528)\/(-11)) + 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2636 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 172844.\nAnswer: -172844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -959178, -1918352, -2877526, -3836700?\n\"Answer: -959174*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiiiihiihiiiiiiiiiii. Give prob of sequence ii.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o)\/o**(3\/5))\/(o*o**(1\/4))**(18\/11) assuming o is positive.\nAnswer: o**(-621\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11724, 11946, 12168?\n\"Answer: 222*k + 11502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 6*w**2 - 72*w + 41. Determine x(-12).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, -4, -172, -3 in decreasing order.\nAnswer: 37, -2, -3, -4, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - -3*(sqrt(98) - 2*sqrt(98))) + 2*(sqrt(98) + 1))**2 + ((sqrt(98)*-1)**2*4 - (-4*(sqrt(98) + -2))**2).\nAnswer: -1236 + 448*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -11 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5))\/n*(n\/(n*n**(-1))*n)\/n*n)**24 assuming n is positive.\nAnswer: n**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5\/67, 20, -790?\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2775368*v**3\/13 + 2780080*v**2\/13 + 4714*v\/13 + 2\/13.\nAnswer: 2*(v + 1)*(1178*v + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9602599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-13)\/(195\/(-2630)))\/(10\/3 - 3) is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31909375*y**3 - 19273570*y.\nAnswer: 191456250*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.669*-15.\nAnswer: 40.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - -52 - -4 - (-46 + 35)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90238, -360782, -811682, -1442938, -2254550, -3246518?\n\"Answer: -90178*s**2 - 10*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 7\/344297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -33\/2, -1\/4, 1, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 31*a**2 - 58*a + 33. Determine k(29).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 - 115. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 4766036?\nAnswer: -4766030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 20688?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-69)\/(-15) - 7\/((-49)\/7). Is o less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n + 5*n + 17 - 17 to the form f*n + t and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474370545 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s + s**2 + 54 + 58 - 128. Let h(l) = -l - 11. Let x be h(0). Is 2 a factor of g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 1\/6*f**3 + 9*f**2 + 0 + 0*f + 0*f**5 + 0*f**4 - 1\/30*f**6. Find the first derivative of r(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 89. Let z(b) = 15*b. Determine z(c(o)).\nAnswer: 45*o**2 + 1335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-24) + 3173\/20. Let q = 159 - v. Which is the second smallest value? (a) q (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -13)*((-44)\/12 + 3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84.79 + 46.28. Let s = -0.49 + m. Let l = s - -55. Is l at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*d = -7*d + 153, 3*z - 4*d = 78. Suppose -z*x + 38*x = 2240. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 33. Let g be y(5). Let s = -69 - -26. Let d = s - g. Solve -10 + d = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*w + c + 77567 = 418*w, 3*w = 3*c + 46545. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -12641.\nAnswer: -25282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22) - 39\/33. Let m(c) = 1. Let t(x) = -4*x + 3. Let u(b) = g*t(b) + 2*m(b). Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 146 = -2*s, -87 = -2*s - 3*f + 75. Suppose -83*k + 720 = -s*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452120751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**5 + 416*j**3*u**2 + 31439*j**2*u**2 wrt j?\nAnswer: -1080*j**2 + 2496*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 2*y**3 + 63*y**2\/2 + 32*y - 195. List the prime factors of z(-22).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -186844\/5, 22?\nAnswer: -186844\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 393774444 divided by 1426719\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 215. Let x(p) = 21*p + 3. Calculate w(x(v)).\nAnswer: -63*v + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55342 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) + -5*1*sqrt(117) - sqrt(117))*-3)\/((1*sqrt(1323))\/(sqrt(3) - (sqrt(36)\/sqrt(300) + sqrt(3)))).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 4*f + 2*f)*((3*f - 4 + 4)*(-44*f - 192 + 192) + (0 + 2 - 1)*(f**2 - 3 + 3)) to the form w*f**2 + t*f + o + b*f**3 and give b.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(14) + 2*sqrt(14) + sqrt(14))*-3)\/(-1*sqrt(63)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661822 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 - 2726*b - 224353. What is y(-139)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) - (sqrt(1980) + (sqrt(1980) + -2*sqrt(1980) - sqrt(1980))))\/(-5*(sqrt(5) + sqrt(125))).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86640833, 86640831, 86640829, 86640827?\nAnswer: 86640825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5132230 + 15?\nAnswer: 5132245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*a, -a - 5 = -3*l - 3*a - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31673, -63416, -95159, -126902?\n\"Answer: -31743*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -22 - 5*h - 21 + 41. Let u(r) = 8*r - 12*r - 4 - 7*r. Determine -13*b(z) + 6*u(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6*m + 5*g = -50, 4*m - 4*g = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 18*w + 4. What is the least common multiple of r(-14) and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4*(-144)\/(-5184).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/18*(15\/4)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0982 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**3 + 4*y**2 + 20*y + 24. Let h be k(-9). What are the prime factors of h\/117*3\/(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 28*g**2 + 30*g - 45. Let k be o(27). Let f(m) = -k*m + 22*m - 2*m**2 + 16*m. Let v = 1 - -1. Let x(i) = -i**2 + i. Determine v*x(u) - 2*f(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-3*-269*(-4)\/12. Let h = -166 - j. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4190, -14674, -25158?\nAnswer: -35642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32603\/8 + -4068. Calculate the common denominator of 58\/3 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5755747 and -39.\nAnswer: 22.4474133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31041335 (base 7) to base 14\nAnswer: -4b8d1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*s = 5*s, 0 = -3*l + 5*s. List the prime factors of 488 - l - (-5 + 8 + -6).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44296 divided by -1477.\nAnswer: 6328\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -176*c. Let h(l) = -l**2 + 13*l. Calculate a(h(q)).\nAnswer: 176*q**2 - 2288*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.42 - -0.46. Let n = j - 6.9. Let p = n - 1.019. What is p rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1477 + 80*y**3 - 65*y**2 - 5*y**4 - 150*y - 1477 = 0.\nAnswer: -1, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 3, -0.115, 1\/7, -1.1, 1.3?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 4:09 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20019 - 237 = 9*r. Is 46 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 4*p + 4*p - 2*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeeobboo. What is prob of picking 1 b and 1 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -161, -340, -591, -914, -1309, -1776?\n\"Answer: -36*t**2 + t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 3*b**2 + 3*b**2. Let p(h) be the first derivative of -2*h**2 + 4. Give p(v(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 55. Suppose 5*p - h*p - 18 = 0. Let y be 1*(-2)\/p*12\/(-8). Sort 2, 5, y in decreasing order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9358 + -9355. Solve -u = -5*v - 1, 6*u = d*u + v - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let b = -27 + 29. Suppose -b*a - r*j + 62 = 0, -a + 25 = 5*j - 6. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = 3. Suppose -u + 12 + 2 = l*f, 0 = 5*u + 10. Solve -4*o + 3*o - f = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 68. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)\/i*i)**41\/(i**(2\/11)\/(i\/((i\/(i\/i**(-6)*i))\/i)))*(i**0\/i)**(-4\/5)*(i**6\/i)\/(i*((i*i\/(i**3\/i))\/i)\/i) assuming i is positive.\nAnswer: i**(859\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.0449, -3, 6\/31 in decreasing order.\nAnswer: 9, 6\/31, 0.0449, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*i + 2*x, -2*i - 537*x + 92 = -273*x - 267*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2046 = 8*r - 3058. Suppose -2*q + r = 4*t, 4*q + 3*t - 2*t = 1269. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-52)\/(-24))*3*6. Let q = i + 23. Suppose -2*v - 5*j + 7 = -4*j, 4*v - 4*j = -16. What is the remainder when q is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-n + 2*n + 0*n)*(-7 + 2 + 3) - 2*n + 8*n + 6*n)*(0*n**2 - n**2 + 2*n**2) as z + k*n**3 + l*n**2 + m*n and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1)\/j))**(-24\/11)\/(j**(3\/8)*j**0) assuming j is positive.\nAnswer: j**(-609\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 2:12 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223110 (base 6) in base 11?\nAnswer: 13172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -59. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9. Which is the second smallest value? (a) 3 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**20\/x**(-1\/2) assuming x is positive.\nAnswer: x**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -162048 divided by -422?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -14 + -68 + 64\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1336*q + 1219*q + 506*q + 1977*q to the form s + a*q and give a.\nAnswer: 5038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 2*b**2 + 7*b - 9. Determine f(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let y be b(3). Let m = -30 - -42. Suppose -y*d = z - 10, -5*z - d - 4 = -m. Is 7\/5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 225*z**3\/8 - 2009*z**2\/8 - 605*z\/2 + 25\/2 = 0.\nAnswer: -10\/9, 1\/25, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -36 (b) 1\/4 (c) 0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s - 28*s - 23*s + 40*u - 150 = 0, 4*u = -s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l + 6606827 - 2244620 = -2842993. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -895*k + 41116. Calculate u(47).\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3 - 1\/(-3). Let g(i) = -16*i + 1. What is the remainder when g(u) is divided by (-3)\/5*(-13 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 4. Let m(h) = -748*h + 510. Let n(w) = 25*w - 17. Let f(x) = 4*m(x) + 119*n(x). What is 6*f(s) + 26*r(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 1721 = -1656, j = -t - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 20*t + 48. Let o(j) = j**3 - 7*j**2 + 2*j - 6. Let s be o(7). Sort t, 3, s in descending order.\nAnswer: s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 33*m**2 + 11*m - 78. What is the remainder when v(33) is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*-2*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = r - 2*p + 27, -6 = 3*p. Let s = -34 - r. Sort s, 5, -3 in increasing order.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 12. Let t = y + 13. Let f = t - 4.7. Is 0.2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5941291*l**2*z - 249856*l**2 + 5*l - 2 wrt z?\nAnswer: -5941291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-180)\/(-8))\/(3\/7 + 9\/28) and 483?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 486834240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -362.4 + 367.4. What is the nearest to 20 in 0.5, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3371, 6745, 10141, 13571, 17047, 20581?\n\"Answer: 2*z**3 - z**2 + 3363*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 + 328. Calculate the remainder when 29 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236\/7, -3\/2, -4, 0.2, 4, 18, 2 in ascending order.\nAnswer: -4, -3\/2, 0.2, 2, 4, 18, 236\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2. Let n(u) be the third derivative of 1\/24*u**4 + 0*u + 41*u**2 + 0*u**3 - 2. Calculate k(n(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 45 + 86 - 2*m**2 - 2*m**4 - m**3 - 43 in the form d*m**2 + l*m**4 + q*m**3 + i*m + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28360 - 30352. Is -1997 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311221 = 8*v - 194787. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2 = -5*r, -11*f + 7*f = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 - (-156)\/60. Let d = 3 - 5. What is the nearest to 3 in 1\/4, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1467, 2850, 4201, 5514, 6783, 8002, 9165?\n\"Answer: -w**3 - 10*w**2 + 1420*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4)*2)\/3. Let f = 9403 + -9396. Put 0.1, f, c in decreasing order.\nAnswer: f, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4168144 and 608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4 - (-40)\/(-15))*9. Suppose -2*y - 2*q = -1818, 0 = -19*y + 23*y - d*q - 3671. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 + (-5328)\/19240?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4764\/126)\/((-78)\/(-1737)). Let m = 842 - l. Let o = m + 1\/7. Which is the second biggest value? (a) -1\/3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -742*a + 1687. List the prime factors of p(-10).\nAnswer: 7, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:37 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -10. Let z be (w + 26)\/(24\/16). Suppose -4*h + 4*v + z = -2, -5*v = -h - 3. What is the highest common divisor of h and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13 = -3. Let p = i - -14. Let j be (p\/(-6))\/((-6)\/(-9)). Put j, -3, 0.3 in decreasing order.\nAnswer: 0.3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*a - 294 = 127*a. Let l be 0 - (-1 - (-3)\/((-12)\/1340)). What is the greatest common divisor of a and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:53 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruhrrhhruhrhrhrrhu. Give prob of sequence uruu.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6186.519 meters in nanometers?\nAnswer: 6186519000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 203*n**2 + 8*n + 15. What is the tens digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 16. Suppose -4*c - 2*c + 60 = 0. Let a be t(c). Let n(i) = -i**2 - 3*i + 18. Let b be n(3). Put 1\/2, b, a in ascending order.\nAnswer: a, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -1.5. What is the third smallest value in -4\/3, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1058\/18 - 10\/(-45). Let a = 95 - g. Let l = a - 31. Solve -5*t - 3 = 3*z, 0 = -2*z + t - 2*t + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-11)))\/j)\/j)\/j)\/(j**(-8\/9)\/j*j)*(j\/(j\/j**(-2\/87)))\/(j\/(j**(7\/2)\/j)) assuming j is positive.\nAnswer: j**(5411\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3 and 23\/111495?\nAnswer: 111495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 207 = -27*s, -h + 59 = -46*s + 39*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/10 + 0)*(1 + -11). Suppose -s*l + l + 2*q = -4236, l - 1073 = -3*q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 42*y**2 - 35*y**3 + 28*y - 60 + 83*y**2 - 108*y = 0.\nAnswer: -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 69.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/6 + 3*d - 3. Let y(j) be the first derivative of f(j). Let k(i) = i + 3*i - 2*i. Determine k(y(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6114*f**3 + 5*f**2 - 452*f?\nAnswer: -36684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1069943 by 6.\nAnswer: 1069943\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/2*g**2 - 1\/12*g**3 + 0 - 4*g + 1\/24*g**4. Factor w(a).\nAnswer: (a - 2)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 47*s**2 - 4*s + 187. Calculate d(47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*s, -p - 4*s + 4 = -s. Is p equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 37*c**2 + 107*c - 57. Give y(40).\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 + 1. Let j be x(5). Let u be (-60)\/8*18\/(-15). Is 0 - 3\/(u\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and 90126269.5247.\nAnswer: 90126285.5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -0*n + 364. Suppose 29 + n = x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - 2.74. What is the smallest value in -5, -2\/11, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 0*y - 3*y)*(2 - 1 + 0) - 59*y + 37*y + 43*y)*(-4 + 3 + 0).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 3\/100*n**6 - 1\/5*n**4 + 1\/560*n**8 + 0*n**3 + 0*n - 2*n**2 + 1\/25*n**5 + 21 - 1\/70*n**7. What is w in f(w) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in 83, -2, -5, 0.06, -81, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4620)\/(-112) + -42)\/((-2)\/40).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(325))*6 - sqrt(325))*6*-4 + (sqrt(325)*3*3 - (((-2*sqrt(325))**2 - sqrt(325))*2 - sqrt(325))) + 4.\nAnswer: -2884 - 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177508964 a multiple of 780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 41*m**2 + 7*m - 7. Let f be (-15)\/(-75) - (19\/(-5) - 1). Let a be t(f). Calculate the common denominator of a\/240*2\/3 and -67\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -185*s - 8734. Calculate i(-38).\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*l - 3*a - 24, 16 = -4*l + 2*a. Let d be 511 - l\/3 - 3. Round d to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/36 + (-14)\/(-6) - 3. Let c(i) = -i - 1. Give c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791977?\nAnswer: 3, 41, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 5*y + 33, 2*w = 4*y - 373285 + 373225 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423479764 to the nearest integer?\nAnswer: 20579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, v: 2}. Give prob of picking 3 z.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and 4.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 440.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 + 14*j**2 - 14*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivvp when four letters picked without replacement from piiivivvivvii.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/3*4\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -32, 5, 20 in ascending order.\nAnswer: -32, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 6. Let h = 718 - 718. Give x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (43 + (14 - 28)) - -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(0 + sqrt(3))*5*-3)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:40 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 56 - 182 + 2 - 76)*(5*m**4 - 4*m**4 + 5*m**4).\nAnswer: -2400*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*b = 40. Let g = 22 + b. Let x be (-14)\/6*g\/15*-9. Is 3 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 34 - 74 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 12. Let a be 2\/g*10\/(-8). Solve 1\/2*t**3 + 3\/2*t**2 + a + 3\/2*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(32\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 - 198*q**2. Let g(f) = -3*f + 1. What is 2*g(k) - 9*s(k)?\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 - 2505\/14. Let a = -47\/14 + d. Find the common denominator of a and 46\/76 + 2 + -1.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, -3\/8, 2, 31?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -90788, -582?\nAnswer: -582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 51. What is the closest to 0 in -2\/9, -1\/3, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271581 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q - 225. Calculate h(14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p**3 + p - 2*p + p.\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/9 - 5*g**5\/3 + 31*g**4\/6 + 107*g**3\/9 - 113*g**2\/3 + 80*g\/3 + 2968. Suppose w(l) = 0. What is l?\nAnswer: -2, 1\/2, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4519940 to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s + 3. Let h be n(5). Let d = h - -3. Let q = -89\/2 - -46. Which is greater: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13, -1, 2\/29, -49 in decreasing order.\nAnswer: 13, 7, 2\/29, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42526, 50781, 59036, 67291, 75546?\n\"Answer: 8255*i + 34271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 4:06 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9096\/60 - 2*(-1)\/5?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let j(o) be the first derivative of 193*o**2 + 2*o + 7630. Determine j(d(k)).\nAnswer: 772*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1656\nAnswer: 8280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 29*n**2 + 11*n - 12. Calculate v(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -19*l**8\/7 - 1931*l**4\/12 + 241*l**2 - 1. What is the second derivative of b(n) wrt n?\nAnswer: -18240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*4)*5 + sqrt(156))\/(sqrt(72)\/sqrt(6)*2).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -54, -97, -158, -237, -334, -449?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*-2*sqrt(75).\nAnswer: -40*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 374, 434, 412, 308, 122, -146?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390 - 197 - 983*h - 193 - 558*h.\nAnswer: -1541*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66950403 and 21.\nAnswer: 468652821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 4, 4*k - 4 = -5*f. Let g = k - 0. What are the prime factors of g\/14 + (-88)\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -11. Let v = -6306 - -6310. Calculate the smallest common multiple of u and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.002+-0.25\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 32. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1210 + -1199.1. Which is the biggest value? (a) 2\/15 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/8 + 123*n**3 - 321263*n**2\/8 + 4334601*n + 4374882 = 0.\nAnswer: -1, 289, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243 - -304. Suppose -72*c + z*c - 77 = 0. Sort 3\/7, -1, c, -0.4 in descending order.\nAnswer: 3\/7, -0.4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611 + 87 - 3*p - 273.\nAnswer: -3*p - 797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmyy when four letters picked without replacement from tmmytymm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 710685 and 4658935?\nAnswer: 41930415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(128) - (sqrt(128)*2 + 4)) + -2 + (2*sqrt(162))**2 + -2 + (sqrt(8)\/sqrt(4))**2 + sqrt(2) + 0.\nAnswer: -7*sqrt(2) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 4. Let k(t) = 2*t**2 + 8*t + 2. Determine -4*j(r) - k(r).\nAnswer: -2*r**2 - 4*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139163 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/7 + 32*j - 46866\/7 = 0.\nAnswer: -219, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 10*u**2 + 12*u - 13. Let m be a(9). Let o = 0 + m. Suppose -o = -2*v + 6. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 15*l**2 + 28*l - 134. Calculate j(14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 1, e: 1, c: 2, v: 5, y: 4, i: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 825, 15, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from iohhccicchiochh?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 10 = -n. Suppose -t - 2*t - j = -75, n = 2*t + 3*j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1579 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8159 and 796?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11870, 11869, 11868, 11867?\nAnswer: 11866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42633626093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 + -146.1. Let p be (-2)\/(-1) + 38\/(-20). Let h = 1\/10 + p. Put h, -2, d in increasing order.\nAnswer: -2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -21*r**5\/40 + 25*r**4\/2 + 187*r**3\/4 + 60*r**2 - 32*r - 20. Suppose t(k) = 0. Calculate k.\nAnswer: -1, -5\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6395, 6839, 8115, 10661, 14915?\n\"Answer: 73*n**3 - 22*n**2 - n + 6345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = b - 18. Differentiate -61*r + 31*r**b + 32*r - 17 + 29*r wrt r.\nAnswer: 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5463 - 3678 = 0. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 91892.\nAnswer: 91891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from oyndnxfnxdnfnfofnfnx.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:17 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 11*m**2 - 8*m + 11. Let h be j(10). Suppose -2*l + 5*o = -1205, -3*o - 414 = -4*l + h. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*p - 2*v, 0*p = 3*p + 4*v - 58. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73100, 146867, 221300, 296399, 372164?\n\"Answer: 333*n**2 + 72768*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 + 6*b + 6. Let g(n) = -2*n + 4. Let w(j) = -2*j + 3. Let i(p) = 4*g(p) - 5*w(p). Let y be i(-3). What is k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 78 = -10*h + 5*h, -4*h + 3*z + 63 = 0. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9094 (base 11) in base 5?\nAnswer: -341312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 4*y - 4. Let x(l) = 11*l**2 - 7*l - 7. Determine -7*g(d) + 4*x(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*12*(-1170)\/1080.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 + 4*x**2 - 21*x + 2. Let v(j) = 8*j**3 + 9*j**2 - 38*j + 5. Let i(f) = -3*v(f) + 5*y(f). Give i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8827 rounded to two decimal places?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -10*w**2 + 0*w + 45 + 0*w**3 + 15\/4*w**4 + w**5. Factor c(v).\nAnswer: 5*v*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**3 - 8*l**2 + 8*l + 40. Let c(s) = 4*s**3 + 3*s**2 - 3*s - 13. Suppose 33 = 4*r - 13*v + 14*v, 0 = 5*r - v - 39. Determine r*c(x) + 3*b(x).\nAnswer: -x**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452, 455, 458, 461?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000100101100111 (base 2) in base 4?\nAnswer: 200211213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1665 - 33814.\nAnswer: -32149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2792201?\nAnswer: 30714211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557368 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:17 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 37. Let s be t(29). What is the greatest common factor of s and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*b - 30 = 0, 9501*b + 9 = -3*y + 9509*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 + -382. Let i(f) = f**3 - f**2 - f. Calculate i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 - 55*s**3 + 119*s**3.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and -715056.\nAnswer: -550593.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 234 in decreasing order.\nAnswer: 234, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20882081.\nAnswer: 11, 1898371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 10 = -2*l, 19 = 5*z + 4*l. Suppose 140 = z*n + n. What is the remainder when 137 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/43503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 255. Let o(p) = -24*p + 217. Let b be o(7). Suppose -b = -m + n. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.386046 and 2064.\nAnswer: 2063.613954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a + 5*j - 165, -5*a + 190 = 3*j. Let v be 393\/21 + 10\/a. Let w = 22 - v. What is the remainder when 5 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 156.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - 3219\/(-99). Let i = h + -32. Let b = 11 + -12. Is b < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-5*sqrt(5)*-2) - ((2 + sqrt(7)*-1 - sqrt(7)) + 2).\nAnswer: -4 + 21*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 + 3*z + 57. Let s be f(0). Find the second derivative of -k**4 - s*k + 4*k**5 - 198*k - 3*k**4 + 4*k**4 + 5*k**2 wrt k.\nAnswer: 80*k**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -66\/5?\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.4, 5436?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 14714*j - 14712 = 0 for j.\nAnswer: 1, 7356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, j: 6, y: 3}. What is prob of picking 1 w and 1 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 39570*r**3 + 316275*r**2 - 276710*r = 0. What is r?\nAnswer: 0, 1, 7, 7906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -101832*n**2 - 75742*n + 474.\nAnswer: -2*(4*n + 3)*(12729*n - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snnn when four letters picked without replacement from {s: 8, n: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9164\/3 + -3054. Sort j, 2\/19, -4.9 in descending order.\nAnswer: j, 2\/19, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125*r**4 + 2*r**3 - 2614*r + 1309*r + 1304*r + (-5*r**3 + 5*r**3 - 2*r**3)*(r - r + r).\nAnswer: -127*r**4 + 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-16)\/25*(-55)\/(-22)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215 = 149*d + 470 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024000 (base 5) to base 13.\nAnswer: 7ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148505233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 25658.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3821622 divided by 3?\nAnswer: -1273874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643804506 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 5*m = -483. Let o = -373 - m. What is o rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(2448) + 3 + 2 - (1 + (sqrt(2448)*-3 - sqrt(2448)) + 0))*3.\nAnswer: 9 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/120 - u**5\/60 - 2*u**3 - 23*u**2. Calculate j(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 greater than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19536 or -19535?\nAnswer: -19536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 32*j - 384 + 12. Solve 5*h + 2 = -4*l + 4, -4*h = -2*l - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.27 - 0.4.\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:19 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 28, 46, 68, 94?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16038)\/(-39))\/(-22) - -21)*26?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -537, -2332, -5377, -9666, -15193, -21952, -29937, -39142?\n\"Answer: u**3 - 631*u**2 + 91*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - 2) + 31 + 15 + -51 + 2 + -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*d + p, -2*p - 24 = -2*d + 2*p. Suppose -3*j - d*a - 5 = -0*a, -4*a - 1 = -3*j. Let t(o) = 17*o**2 - 1. What is the tens digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 128. What is the fourth smallest value in 0.3, z, 5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/5 + 816*p**2\/5 + 16482*p - 33620 = 0 for p.\nAnswer: -205, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((9\/3)\/3). Suppose -4*r - 9 = -4*d + f, 5*d - 35 = -5*r. Suppose d*y + 0*y - 40 = 0. Solve -4*t = -0*t + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssvsssyvvvss. What is prob of sequence vs?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:20 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10561011 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -113320 (base 5) in base 4?\nAnswer: -1001302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - ((-10)\/((-6)\/(-3)) + 2). What is the derivative of 10*a**2 + 170 - a**2 - 175 + m*a**2 wrt a?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1.36 (b) 2 (c) -3\/5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 25*d**2 - 20*d - 9. Determine r(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:25 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25631 divided by -1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62748.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731270414 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d. Let v(c) = 12*c**2. Determine o(v(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 94, 168, 314, 556, 918?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 + 18?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:30 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131559 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*d**2 - 542*d**2 - 378*d**2 + 2*d**3 + 374*d**2.\nAnswer: 2*d**3 - 1542*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31905912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15724589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 328600 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11025*o**2 + 3*o - 32. Let c be (15\/4 - -1)\/((-2)\/(-8)). Let w be i(c). Round w to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0 - 8. Solve -z*c = -0*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 + 6 = 0. Let b = -5 + j. Suppose -5*t = 4*t + 27. Put 0, t, b in descending order.\nAnswer: 0, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1313302003?\nAnswer: -1313301333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37817 - 33788. Is 4029 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 17. Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36162.3*-0.082.\nAnswer: 2965.3086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least as big as -4810.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -375992.0272 + 375641. Let g = 351 + m. What is g rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + r + q + 16 = 0, 5*r + 29*q = 27*q + 43 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.104, 0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = 4*u. Let d = -84 + 79. Put 5, d, u, 2 in decreasing order.\nAnswer: u, 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 14 = -3*o, 2*u = 2*o + 31 - 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:18 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.00000208 + 77. Round b to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/120 - t**5\/20 + 5*t**3\/3 - t**2 + 8. Find the first derivative of w(o) wrt o.\nAnswer: 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798119393?\nAnswer: 137, 953, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2, j: 13, u: 2}. Give prob of sequence jjj.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(50) - sqrt(2)) + sqrt(2) + sqrt(2)).\nAnswer: -30*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.82, 0.24, 2\/15, 2\/9, 67.7 in descending order.\nAnswer: 67.7, 0.24, 2\/9, 2\/15, -0.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.1. Let o = -3 + 4. Let u = 0.8 - o. Which is the closest to -1? (a) t (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430 (base 11) to base 8.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5620, -11244, -16870, -22498, -28128, -33760?\n\"Answer: -p**2 - 5621*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-22 + -1 - -5 - (-12 + 1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4709129*z**2 + 2616875 wrt z?\nAnswer: 9418258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3387945 is divided by 1693415.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25168582800 and 0.1?\nAnswer: 25168582799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 1 + 14 + -2 - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 1 + 5 - 2*b - 6 to the form r*b + g and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 11\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -870 - 5?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 13 = -2*l, -3*l = -3. Let r = 249 - -186. Let v = 434.7 - r. Which is the closest to 1? (a) v (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = 6*v. Let t = 9 + v. Suppose 63000 = -4*u + t*u. Round u to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15307089 to the nearest integer?\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 0*g - 4*g**2 - 13*g + 0*g.\nAnswer: -5*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3 (b) 1\/172 (c) -2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349.0385 hours to seconds.\nAnswer: 1256538.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 67 = 26 - 61. Let u(g) = 6*g**3 + 2*g**2 - 5*g. Let w(x) = x**3 + x + 5*x**2 - 4*x**2 - 2*x. Give o*w(z) - u(z).\nAnswer: -2*z**3 + 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120982016 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 977850343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-3)\/9*1. Sort 4, -3, b.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - 6 = 0. What is the second smallest value in o, 0.7, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + -140 - -28) + -11 + 30?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.459*-452.\nAnswer: -207.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.9 + -13. Let u = 0 + b. What is the second biggest value in u, 0.2, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (5 + -5 - 0 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -680 - -980. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-1235)*((28\/56)\/1)\/((-9)\/6).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:30 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4796.\nAnswer: 9592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (2 + 6))*2. Let z(o) = -o - 10. Let h be z(q). Solve h = 4*w + 17 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769123 is divided by 57?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 219*d**2. Let t(b) = -27*b**2. Calculate t(q(i)).\nAnswer: -1294947*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y = -903 - 2035 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*69\/(-30)*((-44)\/8)\/11*4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.037*0.04\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, t: 1, b: 11}. Give prob of picking 1 t and 3 b.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 82. What is the nearest to 0.3 in t, 4\/3, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0*m**4 - 11*m**2 - m - 9\/10*m**6 + 0*m**5 - 8 + 0*m**3. What is the first derivative of g(w) wrt w?\nAnswer: -108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 298 = -186. Let g = i - 755\/3. Let u = g + 9. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -45*26\/(-65) + -885. Is k <= -862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 222 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19180)\/50 - (-14)\/(-35). Which is the smallest value? (a) w (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -804, -539, -20, 837, 2116, 3901, 6276?\nAnswer: 9325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105, 593, 1407, 2547, 4013, 5805?\n\"Answer: 163*c**2 - c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpgd when four letters picked without replacement from dgffpldpggfldoffgf.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 18 - (1036 + -1026).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s**2 + 2*s. Let u be g(-3). Suppose -3*y - 2*c + 163 = 0, u*y + y = -5*c + 222. Suppose -y = -2*q + q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + s + 4 - 1)*(16552 - 16552 + 155*s) as i*s + k + o*s**2 and give o.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 8*o + 6. Suppose -3*v = 5*q + 46, 0*q + 3*v = 4*q + 26. List the prime factors of m(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210233203 (base 4) to base 12.\nAnswer: -286603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/190399 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -474, -719, -964?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 4*f. Let u be a(-5). Let c be ((-2)\/(-6))\/(2\/u). Suppose -c*l + 4 = -6. Solve o = 2, l*o + 0 = 2*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, -293, 431 in descending order.\nAnswer: 431, 3.4, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:46 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.3, 0, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*o + 32, -2*o - 3*o + 32 = q. List the prime factors of 3\/(o\/245) + (-6)\/(-4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*k - 23 + 69, 2*k + 16 = -w. Let h = 188 + -193. Which is the third smallest value? (a) h (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.342, 1, 9, -5 in descending order.\nAnswer: 9, 1, -1.342, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxs when three letters picked without replacement from {u: 1, x: 2, p: 1, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19454, 77798, 175034, 311162, 486182, 700094, 952898?\n\"Answer: 19446*u**2 + 6*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -53)\/(27\/594*-22)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -17. Let w be x*1\/(-2) + -2. What is the units digit of w\/(3 - (-8)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10\/879 (b) -1\/3 (c) -9 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.05 (c) -0.21 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + -2*sqrt(152))*1 - sqrt(152)*1*-4)\/((sqrt(800) + 2*sqrt(800))*4).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 842 from 9.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39\/349 + -26833\/180782. What is the common denominator of d and -73\/9?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -55453 - 8*g + 55453. Let n(w) = 33*w. Determine n(k(h)).\nAnswer: -264*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 702\/621*(-1150)\/(-25)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n + 129. Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 126.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 120169051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605460?\nAnswer: 2, 5, 80273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/750)\/(96\/320).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34202235 is divided by 654.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3\/22 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**6\/90 - 7*h**5\/30 - 31*h**4\/36 - 8*h**3\/9 + 2169*h. Factor j(r).\nAnswer: r*(r - 16)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 67. Let q(p) = 2*p**2 - 10*p + 7. Let l be q(m). Is l smaller than 1\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:51 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54406306 to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138225527 and 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -943 + 945. Let a be (-2)\/(-10) + 1\/(-15). What is the second smallest value in y, a, -25\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/607910 and 77\/636.\nAnswer: 3647460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 5141142?\nAnswer: 5141210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 47 = -4*z, -3*z - 3 = 3*c - 12. Solve 4*j + z + 0 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*z + 23, 0 = -3*u + 5 + 4. Suppose -z*a - 5*g = -45 - 25, 5*a - 69 = -4*g. Solve -a*n = -9*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6155*a = -3*r - 2*r - 6187*a, 0 = -4*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1772782 or 1772757?\nAnswer: 1772757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2994 divided by 1\nAnswer: -2994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-15 - (20 - 26))) + 19?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z + 44. What is the tens digit of n(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5767 is divided by 385.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.14, 2\/7, 0.277, -3, 2, -1\/9?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 0, -7, -10?\n\"Answer: 2*p**2 - 17*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 604*t**2 + t**3 + 4*t**3 - 592*t**2 + 23*t**4. Let c(v) = v**3 + v**2 - v. Let h(b) = -5*c(b) + s(b). Find the third derivative of h(x) wrt x.\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from yqdccqcyyqgyygf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/5 (b) 3\/7 (c) 151 (d) -181 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 + 4 + 4 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -36 + 4. Suppose -5*u - 5*s + 10 = 0, 3*u + s = 5*u + 5. Let n be (-1)\/u*(19 - r). Solve -3 + n = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5))**(3\/10)*v**(1\/8)\/v**(-9\/7))**(-2) assuming v is positive.\nAnswer: v**(-1723\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + j. Let i be f(-1). Solve 0 = -4*q - i*v - 5, 4*v = -3*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + (1 - 0) - 496\/(-248).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g + 3*y + 75, 81 = -2*g - 5*y. Let i = g - -59. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-18) - 8\/(-36). Suppose -54 = -257*a + 255*a. Suppose -4*q - 41 = -5*p, -3*p - q = -4*q - a. Solve 0 = -p*o + v + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2517*a**2 - 22*a. Let j(x) = 5034*x**2 + 49*x. Determine 4*j(b) + 9*m(b).\nAnswer: -2517*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 5*m - 8. Let j = 18 + -26. Let f = 0 + -3. Let g(t) = 15*t - 3*t**2 - 17*t + 3 + 2*t**2. Give f*k(v) + j*g(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 328311873 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 20 = 3*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*c + 12, -2*s + 3*c = 2*c + 3. Sort s, 2, -36 in ascending order.\nAnswer: -36, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 15. Let u be v(0). Suppose 3*n - 19 = -4*l, -2*l - 4*n + u - 3 = 0. Solve -l*a + 4 = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 164.3 (b) 0.6 (c) -4\/3 (d) -0.2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, a: 3, t: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -14. Find the third derivative of -13*t**3 - 9*t**2 - 3*t**2 + 6*t**6 + 13*t**w wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let i be r(4). Suppose 19 = -i*z + 51. Find v, given that 4*v**2 - 16*v**3 + 250*v + z*v**2 - 251*v = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(-5\/3))**(-3\/4)\/((z**1)**(-33))**(-2\/5) assuming z is positive.\nAnswer: z**(-503\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2547\/3556 - -30\/889. Factor -3\/2 + 3\/4*j**2 - n*j.\nAnswer: 3*(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 16. Sort a, 3, -3 in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2619.224ms?\nAnswer: 2619224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148.1 - -148.1. Which is the fourth smallest value? (a) u (b) 3\/61 (c) 4 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(2 + sqrt(8) + 2*sqrt(8)) - sqrt(64)\/(sqrt(24)\/sqrt(3)*1)).\nAnswer: -156*sqrt(2) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + k + 15 = 0, -4*k + 40 = -0*l + 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 162\/16327?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 3*c. Let v(t) = 2*t - 151. What is p(v(b))?\nAnswer: -8*b**2 + 1214*b - 46055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h + 5. Let r be g(-6). Solve -r*x + 1 = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1518 and 220?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543937 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039359 rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - 13) + -50 + 56 + -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -548*b + 187. Is w(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*w - 209*w + 100*w)*(-8*w**2 + w - w).\nAnswer: 2080*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 708 = 1200. Let o = a - -1433. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let k = p + 2.9. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.0357.\nAnswer: -0.4357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1.5675.\nAnswer: 1.5675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.1 (c) 425 (d) 309 (e) 1\/3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*x = -s + 24, -4*s + 5*x + 11 = 0. What is the lowest common multiple of s and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -660 - -656. Which is bigger: -195\/64 or s?\nAnswer: -195\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2*u - 9. Let y be a(-13). Suppose -5*j = 3*i - 894 - y, 5*i + j - 1750 = 0. Let s = 644 - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a - 3*a - 654254 + 654283. Determine j(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, 14, 3, -20, -61?\n\"Answer: -s**3 + 3*s**2 - 7*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4032 - -5690. Suppose 7342 + z = -5*i. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13300?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f + f + 1 + 0. Suppose 0 = -3*m - 2*m - 10. What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnfgg. What is prob of picking 1 f and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 1 + 2 - 1 - 12*q**2 in the form t + d*q + u*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 6 = 0. Suppose 4*d - 3*l - 3 = 0, -2*d - 4*l + x = -16. What is the remainder when 5 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(1\/2). Let w(g) = -g**3 - 3*g**2 + g. What is w(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235962065 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 - 190 - (1 - 26\/2)*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 5188*q**2 - 26040*q = 0.\nAnswer: -1302, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41 - -42)\/(3\/(-9)). What is the second smallest value in 5, -2, b, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(56\/1008)*1798\/(-174)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2194 - -3674. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r + r - 52*r)*(105*r + 373*r - 46 + 46).\nAnswer: -20076*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d + 228 - 137 + 245 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -9. Let c = -18 + f. Let h = c + 5.0016. Round h to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/15)\/(-7) + 88\/(-270). Let n(w) be the second derivative of 0*w**2 - 1\/54*w**4 + 0*w**3 + 0 + 1\/45*w**5 + 4*w - j*w**6. Factor n(q).\nAnswer: -2*q**2*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 911*b**2 - 2627. Let p(i) = -13*i. Determine n(p(f)).\nAnswer: 153959*f**2 - 2627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Suppose -2*m + 2*n + 12 = 0, -3*m - n + 43 = 25. Suppose m*c = x*c + 5*b + 484, -3*c + 390 = 3*b. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 47. Put 3, w, 2 in increasing order.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75)*-2 - sqrt(75)))**2 + 5 + sqrt(75)*-2 + 0.\nAnswer: -10*sqrt(3) + 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 515*f**2 - 510*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/5)\/((-9)\/(-44 - 1)). Let b be 1 - (-12)\/36*(-1 + f). Solve 0 = -3*r - b - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.42 + 7.12. Let g = 34.3 + p. Put 2, -5, g, -13 in ascending order.\nAnswer: -13, -5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) + 5 + -2. Let r = n - -2. Solve -3*y + 3*f + r = 15, -24 = -4*y - 4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.68. Let p = m + 1.22. Let s = p - 0.2. What is s rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, -1100119, -2, 2\/5.\nAnswer: -1100119, -5, -2, 2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = -6. Suppose -t*u + 30 = -6. What is the remainder when 57 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(-5 + -2*sqrt(12)))**2.\nAnswer: 1160*sqrt(3) + 2041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u - 120*u - 51*u.\nAnswer: -113*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 363, 543?\n\"Answer: 180*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1300) + 2 + 4 + sqrt(1300) + sqrt(1300) + 4 + -3)*4 + 0)*-5)**2.\nAnswer: 164400*sqrt(13) + 4698769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 279*h + 1126. Determine i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 7*o - 6. Let v be n(9). Suppose -4*r = -v - 253. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + -1 + 21. Let m = 53 - c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:05 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 2. Let l be f(0). Is (-2783)\/(-22) + 1\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (3\/(-2))\/((-30)\/(-80)). Let y(f) = -4*f**2 + 3*f + 3. Let r(b) = -b**2 + 1. Let g(m) = v*r(m) + y(m). Determine g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(5 + (4*(-2*sqrt(275) - sqrt(275)) + -1)*-5)**2 + 0).\nAnswer: 144000*sqrt(11) + 23762400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dup when three letters picked without replacement from {p: 9, u: 4, d: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**(2\/13) assuming x is positive.\nAnswer: x**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) - 444\/(-54). What is the highest common factor of 280 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 18*l**2 + 23*l + 85. Let q be 59\/(-5) - ((-506)\/(-55) - 8). What are the prime factors of n(q)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435447274 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718926 is divided by 239628.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -i + 10, -3*i + 939 = 951 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1495*v - 92681. Calculate t(62).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3753787 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a factor of 598695925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 0.8. Let r be (-1)\/6 + (-18)\/(-36). What is the second biggest value in r, 6\/11, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/24 and 49\/65188.\nAnswer: 391128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31077.87ml to litres.\nAnswer: 31.07787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 35 + 4. Let n be ((-4)\/12)\/((-1)\/263). Let u = -439\/5 + n. Which is the closest to 0? (a) u (b) l (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-1*sqrt(156))\/(sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108)*-1)) + sqrt(108) - 2*sqrt(108)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3.84 (c) -10 (d) 16\/17 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 9\/4 (b) -2\/11 (c) 8\/7 (d) 1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 382*d**3 - 1770*d - 142*d**3 + 1770*d - 30*d**2 wrt d.\nAnswer: 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 9 - 9\/(-2). Is m at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 67*h + 513*h - 2*h**3 - 3*h**2.\nAnswer: -2*h**3 - 3*h**2 + 466*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*f**4 + 1765247*b**2*f**2 - 379545*b*f**6 wrt f?\nAnswer: 72*b**2*f - 45545400*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 0.2 (d) -0.3 (e) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = 5*z. Suppose 0 - z = m. Which is smaller: m or 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 1. Let g(h) = 5*h - 4. Suppose -3 = 5*f + 12. Let z(a) = f*g(a) + 8*y(a). Is 5 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-4) - (-35 - 84)\/(-17)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012690 is divided by 337405?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -32*s + 24*s. Solve -3*a = s*k + 3, k - 3*a = -5*a - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9 - 7 + 5*l**2 + 29 - 4*l - 6 - 3. Let w(d) = 9*d**2 - 7*d + 7. Calculate -5*m(h) + 3*w(h).\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 2 + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -641474 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -265, -371, -459, -523, -557?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14047\/406 + 20\/203. Which is smaller: -36 or n?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 40*j - 19*j + 8 = 26*j + 4, -3*u + 40 = 13*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, 142, 820, 2178, 4444?\nAnswer: 7846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6350149*i + 12700286*i - 6350148*i - 30.\nAnswer: -11*i - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**2. Let y(g) = -116009*g**2 + 2*g + 1. What is y(w(d))?\nAnswer: -7424576*d**4 + 16*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**2 + 49*y - 15. Let v(t) = -t**2 + 2*t + 2. Let l(j) = -2*j**2 + 3*j + 3. Let i(d) = 2*l(d) - 3*v(d). Determine b(i(k)).\nAnswer: -2*k**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.556339 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/4 (c) -0.2 (d) 1\/5 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**3*x - 1400472*i**3 - 359566273*i**2*x + i*x wrt i?\nAnswer: 90*x - 8402832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16680 divided by -20?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 2, -0.32, 0.2, 7, -2\/59?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.1, -10, -3, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, -3\/8, -5, 3 in decreasing order.\nAnswer: 3, 1, -1\/4, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 - 1 + 34*w**2 - 9*w**2 - 15*w - 25*w**2 - 2*w**2 in the form q + c*w**2 + h*w and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0 - 3. Let w = y + 3. Let a(b) = 2*b**2 + 2*b - 1. Let v be a(1). Solve 0 = 3*z + v*r - 9, -2*z - w + 22 = 5*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d*d\/d**(1\/6)*d)\/d*d**(-1\/2))\/(d**(-3\/5)\/d*d\/d**6) assuming d is positive.\nAnswer: d**(164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 667 - -858. Does 61 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -11 in ascending order.\nAnswer: -11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*p**4 + 198*p**2.\nAnswer: -4200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 33, 3.\nAnswer: 3, 33, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 + 2841*n - 1979*n + 3390*n.\nAnswer: 4252*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 - j**2 + 7*j**2 + 26*j**3 + j + 35*j**3 + 2*j as o*j**2 + s*j**3 + w + c*j and give s.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = 0, 6*c + g + 5 = c. Let l be 5*3*c\/(-10). Solve -12*k**2 + 14*k + 14*k**2 - 3*k**l + 4 - 17*k**3 = 0 for k.\nAnswer: -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 1. Let j(n) = 49*n**2 + n - 9. Give 3*c(b) + j(b).\nAnswer: 55*b**2 + b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -562, -560, -556, -550?\n\"Answer: d**2 - d - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, -4, -3, -2.\nAnswer: -4, -3, -2, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (5 + sqrt(28)) - (-5 + 1 + sqrt(7)))**2*2.\nAnswer: 8*sqrt(7) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608290731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1*3\/708). Let u = v + 419. Let t = u + -111. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -11*g - 2. Let j(b) be the first derivative of b - 5 + 1\/3*b**3 + 1\/2*b**2 - 5\/4*b**4. Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 36. Suppose 36 = 5*y - y. Let w be q(y). Which is the nearest to 2? (a) -5 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 - 36. What is k(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(3\/11)\/w*w**(-3)*w**5\/w*(w\/((w**(-6)*w)\/w))\/w assuming w is positive.\nAnswer: w**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6690263*a - 18604841?\nAnswer: 6690263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 7*l - 7. Determine r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + 7*r**2 - 77*r - 44. Determine v(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:38 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*b**3 + 9*b**2 + 26*b - 1\/2*b**4 + 20.\nAnswer: -(b - 5)*(b + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 96*f. Let a(u) = 19*u + 15*u + 21*u - 56*u. What is r(a(b))?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16. Let n be 13 - 5 - ((-1)\/(-1) - w). Calculate the highest common divisor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*l + 4303, 5*u - 2*l = 8534 + 12849. What are the prime factors of u?\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/23 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63522?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 84\/8 - (-1)\/(-2). Let y(o) = o**2 - o - 10. Let u be y(11). Suppose u = z + 4*z. What is the greatest common divisor of k and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0 - 1\/120*d**6 - d**3 + 1\/20*d**5 - 9*d**2 + 0*d + 1\/4*d**4. Calculate u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 908 and -7.8268?\nAnswer: 915.8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9979*m. Let j(s) = -1209*s - 1207*s - 1208*s + 4831*s - 1208*s. Calculate d(j(h)).\nAnswer: 9979*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 2, z: 2, o: 13}. What is prob of sequence zo?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + a + 0*a**4 + 91 - 89 + 2*a**3 as z*a**4 + l*a**3 + x*a + s + w*a**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/324*-8*-6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2, 4, -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -19) + 35 + (-1 - 42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*b - 19*b - 288. Suppose -4*o = 2*o - b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8132824 - -2.9132733. Let z = -1.1 + r. Round z to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 6*o - 16. Does 8 divide n(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in 3\/2, -3, -32\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4975*p + 3850 - 2015 = -13517 + 427 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -634, -627, -622, -619?\n\"Answer: -t**2 + 10*t - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3928, 3856, 3746, 3604, 3436, 3248, 3046, 2836?\n\"Answer: w**3 - 25*w**2 - 4*w + 3956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 2:20 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085?\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -411385.\nAnswer: -6\/411385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 n when three letters picked without replacement from nnhnhhnxnhxnnynpnn.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*(-18)\/576*-8. Which is the closest to 7\/4? (a) f (b) -3\/4 (c) -1\/6 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*l**4 + 35659*a**3*l**2 + 3*a**2*l**2 - 488019016*a*l**4 - 1185*l wrt l.\nAnswer: -24*a**3*l - 11712456384*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-6) + (-4)\/(-6). Suppose -15 = -11*g + 16*g. Sort x, 1, g.\nAnswer: g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553054669.\nAnswer: 3, 11, 101, 311, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 262*d*f*y**3 + 31807*d*y**3 - 3*f*y**2 + 10351320*y**3 wrt d.\nAnswer: 262*f*y**3 + 31807*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645501 divided by -15?\nAnswer: -4645501\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1372652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.56 + -0.06. Which is the nearest to -2\/7? (a) j (b) 2\/9 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -296667 divided by -357\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 782.1977615 + -782.2. Round l to 5 dps.\nAnswer: -0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/32)\/((-8)\/64))\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -130688433?\nAnswer: 130688423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 3\/8*c**4 + 2\/3*c**3 + 86*c**2 + 0 + 0*c + 1\/60*c**5. Suppose -2*x + 8 - 20 = 0. Give f(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196422 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 15690*r + 15693 = 0. What is r?\nAnswer: -1, 5231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*s + 266 = 0, r + s = -0*s - 55. Suppose -2*h - 39*v - 36 = -40*v, -2*v = -8. Let c = h - r. Which is bigger: 40 or c?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 2743*a**5\/20 - 185*a**4\/4 - a - 2575. Find the third derivative of c(y) wrt y.\nAnswer: 16458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9057667 and 298.\nAnswer: -9057369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 99*x**2 - 2*x + 12. Let s(y) = y. Let p(l) = f(l) + 5*s(l). Find the second derivative of p(h) wrt h.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*h**2*i - 55*h**2*x**2 - i*x**3 - x**3 wrt i?\nAnswer: -25*h**2 - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 at most -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = 0, 0 = w - 5*n + n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.9870165 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {l: 2, o: 1, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 47*d - 212610 = 7*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*b = 5*f + 361*b - 10, -2*f - 212 = 42*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 15\/4*k**4 + 3\/2*k - k**3 + 7\/4 - 1\/2*k**5 - 11\/2*k**2 = 0. What is k?\nAnswer: -1, -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 - -184.0498. Let j = v - 0.1333. Round j to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5265 (base 8) to base 2.\nAnswer: -101010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*h - 128 - 16 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121750 and 7500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3417801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321411 (base 5) to base 12.\nAnswer: -133a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (54 - 27 - 41) + -10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 + 1.44. Let n = 1.9 - r. Let o = -3 + 5. Put o, n, -1 in increasing order.\nAnswer: -1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2742391600 - 8*k + 2742391600.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -11*j**2\/2 - 3*j - 1. Suppose -2*q + i + 10 = 0, -4*q + 39 = 3*i + 19. Let v(r) = 16*r + 4. Determine q*v(n) + 7*d(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5269*j + 5269*j + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by ((-2)\/6)\/((-6)\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 53*q + 72. Give k(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 759.03.\nAnswer: 683.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400026430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118000325914*x**4\/5 - 82954047252154*x**3\/5 + 127851274332*x**2\/5 - 13136536*x + 11248\/5.\nAnswer: -2*(x + 703)*(3893*x - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1\/730 (b) 4\/3 (c) -8 (d) -0.085 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 15*b - 2. Sort b, -1, -4, 4 in decreasing order.\nAnswer: 4, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(7) + sqrt(7) + 1*sqrt(56)\/sqrt(8)))**2*2 - (-5 + (4 + sqrt(44) + 6*1*sqrt(44))**2).\nAnswer: -19415\/9 - 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113181957 to the power of 1\/2, to the nearest integer?\nAnswer: 10639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d - d**2 + 5*d**2 - d**2 + 4 - 4*d**2. Give r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 - 2 - 4*s + 3 - 2 - s**2. Let x be o(-4). Is 23 a factor of 1390\/30 + x\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4*t**3 - 82*t**2 - 406*t**2 - 756*t**2 - 3*t**3.\nAnswer: t**3 - 1244*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w**2 + 10*w - 12. Let j(n) = 12*n**2 + 6*n - 8. Let m(c) = -7*j(c) + 5*y(c). What is m(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.214 - -0.014. Which is the biggest value? (a) 2.2 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99651?\nAnswer: 3, 59, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let g(i) = -2 - 1 + i**2 - i**2 - i**2. Let m = 14 - 48. Let j(p) = -6*p**2 - 17. Let r(f) = m*g(f) + 6*j(f). Give b(r(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -251*q + 3377. Let c be x(12). Calculate the highest common divisor of 160 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111959517.\nAnswer: 3, 29, 127, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -348 - 713. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + l = 0, -4*l + 34 = -2*m + 48 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a535a - -72?\nAnswer: a5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -446, -1342, -2676, -4448, -6658?\n\"Answer: -219*z**2 - 239*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.99 - 37. Let x = 154\/3 + -52. Which is the nearest to u? (a) 4\/9 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103)\/((-5871)\/(-171)) + (-276)\/(-94)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let i(m) = 29*m**2 - 37*m. Determine i(j(g)).\nAnswer: 29*g**4 + 37*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3)*(2 + -1). Suppose -o*b - 8 = -3*c - 4*b, -4*c + b = -29. Suppose -2*j - c = -3*h, 2*j = 3*h + j - 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:04 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 4, o: 3, p: 3}. Give prob of sequence io.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1090*d**2 - 73*d**2 + 27*d**3 - 26*d**3 to t*d**3 + h*d + r*d**2 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.229 take away -369?\nAnswer: 358.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730647.\nAnswer: 97, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + -1)\/(-1))\/(1 - 0). Suppose 14 = -12*c + 2. Let x be (2 - 1)\/(2\/(-8)). Sort c, x, n in decreasing order.\nAnswer: n, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + 1 - (-130 - -136).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:13 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139\/63 + -17\/7. Let p = 2 + -2\/3. Let t = 18\/53 + -1\/159. Sort b, p, t, -5 in decreasing order.\nAnswer: p, t, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97796, 0, 4, 264 in increasing order.\nAnswer: -97796, 0, 4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:39 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4526669 divided by 2.\nAnswer: -4526669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(-1 + 1 + a) + 6*a - 3*a - 2*a)*(a**2 + 2*a**2 - 2*a**2)*(37*a**2 - 296*a**2 + 114*a**2).\nAnswer: -435*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17\/15709 (b) 2 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**1)\/a)\/a)**(-6\/17)*(a*a**(-2\/7))\/a**6*(a\/(a**(-2\/19)\/a))\/(a**(-3\/4)*a)*(a\/((a*a**(-2)\/a*a*a)\/a)*a)**47 assuming a is positive.\nAnswer: a**(1250563\/9044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z - 1. Let q be m(-2). Let y be ((-16)\/18)\/(14\/q). Which is the nearest to 1\/2? (a) -1 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 3) + -2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/5)*g**(-12)*(g**(5\/4)*g)**(2\/9) assuming g is positive.\nAnswer: g**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 7, r: 6}. What is prob of sequence yra?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 15\/6)*-36. Let d = -884\/7 + p. Which is the closest to -1\/2? (a) d (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**45\/(d\/(d**0*d)*d*d*d*d*d\/(d**(1\/2)*d)))**(1\/22) assuming d is positive.\nAnswer: d**(-277\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*n + 5*n - 48 = 0, 32*d + 1468 = -8*n + 6*n for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84871 or 84873?\nAnswer: 84871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3067781 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*4*(-1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*p**2 - 64*p**2 + 19*p**2 + 13*p**5 wrt p?\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide (-1*604)\/((3\/117)\/((-15)\/90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(605) + sqrt(605) + 0 + sqrt(605))*2*-3.\nAnswer: -198*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**8\/336 - 2*x**7\/35 - 41*x**6\/120 - 19*x**5\/30 + 3*x**4\/2 + 28*x**3\/3 + 1199*x**2. Factor d(q).\nAnswer: -(q - 1)*(q + 2)**3*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606137.\nAnswer: 7, 131, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b**2*t**3 + 2*b**2 - b*q + 22*q*t**3 + 22*q wrt t?\nAnswer: 24*b**2*t**2 + 66*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 0*w - 3*w - 6 + 103*w**2 - 105*w**2 = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 14, 18, 0.3, -0.1, 4 in descending order.\nAnswer: 18, 14, 4, 0.3, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -346931238.\nAnswer: -346931243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(4\/17)\/(a\/a**2)**(1\/7) assuming a is positive.\nAnswer: a**(73\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12800699*0.5.\nAnswer: 0.064003495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 - 3.9746. Round l to three dps.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -57*(1*-3)\/9. Let z = y - 1. Let l = z + -6. Calculate the lowest common multiple of 2 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718640.\nAnswer: 2, 3, 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52875 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 2:11 AM and 11:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127191*a**3 - 41834*a.\nAnswer: 763146*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, r: 3, m: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-192)\/1836 - 4\/(-18). Which is the third biggest value? (a) 3\/4 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*b + 4321, 17*t - 14*t = -2*b + 2849. Which is smaller: b or 1430?\nAnswer: 1430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c - 5. Let m be v(-4). Is 4 a factor of m\/(-3) - (4 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 3*s - 3. Suppose -f - 8 = -b, 0 - 4 = -b. Determine q(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204541 is divided by 1339.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2609 + 23*l + 38*l + 216*l - 2607.\nAnswer: 277*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let x(b) = -3*b - 2. Let v(o) = -4*p(o) - x(o). What is the remainder when 19 is divided by v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 17. What is the remainder when (-56)\/(-21) + -2 - 400\/(-3) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/185565 and -161\/8340?\nAnswer: 742260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*(-3 - -1). Factor 7 - c**2 - h - 7 + 2*c.\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2636406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 214 - 214 + 0 + 3*y**2 + 0 - y**2 + y**2 + y**2 - 2*y**2 + y**2 - y**2 + (1 + y - 1)*(-5*y + 4*y + 2*y) - 4*y**2 + 5*y**2 - 2*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*d**3 - 985*d**2 + 0*d + 2*d - 260*d**3 - 2*d to the form p*d**2 + y*d + g + a*d**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 1. Let p = -17 + 12. Let z(j) = -4*j**3 - 5*j**2 + 5*j. Let m(o) = p*l(o) - z(o). Find the first derivative of m(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 3312?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11774*w**4 + 64*w**3 + 669279*w wrt w?\nAnswer: 141288*w**2 + 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, 4 in decreasing order.\nAnswer: 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.8 + 25. What is the second biggest value in f, 2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 85*w**2 - w - 41*w**2 to the form k*w + s + n*w**2 and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4003203 + -30435?\nAnswer: -4034042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-2)\/(-18)*-8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3423240592 to the nearest integer?\nAnswer: 58508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avta when four letters picked without replacement from {t: 4, v: 6, f: 1, a: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -9*k - 9*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 26 = 2*l, -10 = o - 3*l - 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)\/v*v*v**(-7))**(3\/10) assuming v is positive.\nAnswer: v**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41019620.\nAnswer: 2, 5, 751, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-1)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 20 - 17 - 2*b + (-2 - 1 + 5)*(5*b - 5*b + 2*b) to the form v*b + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 760*h**3 + 2*h**2 + h - 239 wrt h?\nAnswer: 2280*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -s - 5*b, 4*s - 4 = 2*b. Let u be 7 + 4 + s + -6. Solve 2*o + 3*t = -9, 7*o - 3*o + u*t + 17 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/9)*c\/(c**(-5)\/c))\/(c*c*c*c**(1\/2)\/c*(c*c**6)\/c) assuming c is positive.\nAnswer: c**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -192, 24, 384, 888, 1536, 2328, 3264?\n\"Answer: 72*p**2 - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = p + 7*w + 33 + 69, 149*p = 147*p - 5*w - 130 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from qnnum?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2415*k + 2410*k + 55, -3*s + 182 = -16*k + 149 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -477*w**4 + 772*w**3 + 4747158 wrt w.\nAnswer: -1908*w**3 + 2316*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5. Let g(n) be the second derivative of n**3\/6 - n. Let u(x) = -d(x) - 2*g(x). Find the first derivative of u(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3 - 35 = 3*w, 14531*w = 14534*w - z + 40 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 340*y**4 + 63248*y**3 - 23841012*y**2 + 23217920*y + 559504 = 0.\nAnswer: -374, -2\/85, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Suppose -20 = 2*n - 3*m, 4*n = -n + 2*m - 39. Let t = n - -9. Let y(j) = -t*j**2 + 14*j - 14*j. What is y(h(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w**2 - 2 + 2*w + w)*(-9723*w - 460 + 4815*w + 4904*w) to x*w**3 + t*w + z + h*w**2 and give h.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*l + 30*l + 2954. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -4\/5*v**3 - 7\/30*v**4 - 4\/5*v**2 + 2\/75*v**6 + 10*v + 3\/50*v**5 + 0. Suppose y(i) = 0. What is i?\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*13890555\nAnswer: 69452775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.63 + -21.63. Let c = -17.5 - a. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 times -169.4\nAnswer: 15076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + -2 + -8 + (4 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15064 (base 7) to base 6\nAnswer: -31134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x. Let v(w) be the first derivative of -w**2 - 3 + 1 + 7 - 1. Give h(v(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4 - 2*k - 5 + k - 2. Let q be x(-3). Suppose q*n - 239 = -3*a - 2*n, 5*a - 2*n = 377. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17282 (base 12) to base 4\nAnswer: 20013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*r - 28 = 0, -4*z + r + 28 = 48 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/5 - 46*t**2\/5 + 232*t\/5 + 56 = 0.\nAnswer: -1, 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 - (-10 - -6) - -4) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-674)\/(-2022))\/((-7)\/9)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6098430 divided by 2032810.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, -176.\nAnswer: -176, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -89*d + 4086 + 710, -3*f - 2599 + 2506 = -2*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + t - 12 = 6*t, 0 = -p - t - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/2 + 3\/2*c**2 - 9*c = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b8a?\nAnswer: b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 735737.728 rounded to the nearest one hundred?\nAnswer: 735700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 650, 21, -2, 25 in increasing order.\nAnswer: -2, 21, 25, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 2*sqrt(567) - (sqrt(567) - (sqrt(567) - (sqrt(567) + -4 + 1) - sqrt(567)))) + 2)*-6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w. Let u be (-2 + 7)*6\/(-15). Let r be l(u). Let f be r\/(-3) - 1*3. Let k(d) = 5*d**2 - 2*d - 1. Calculate k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**6\/15 - 37*n**5\/5 + 25*n**4\/2 - 252*n. Factor z(j).\nAnswer: -2*j**2*(j - 1)*(j + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r + 2. Let t be n(3). Suppose t*u + 2*u = 0. Let i(g) = -34*g + 24. Let s(w) = 41*w - 28. Let h(l) = 6*i(l) + 5*s(l). Give h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 10:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -2235 in increasing order.\nAnswer: -2235, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-18)*51\/68?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 12. Let r be q(-9). Suppose 5*j - 2 = r*j. Which is the second biggest value? (a) 0.5 (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114240\/(-5600) - (13 + -34).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18498 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1875591471 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10001101100111001100111?\nAnswer: -10001101100111001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395910*s**2*x**4 + 12*s**2*x**2 - 58*s**2 - s*x**6 + 4*s*x**2 wrt x?\nAnswer: -9501840*s**2*x - 120*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l - 2*h - 27 = -108*l, -21 = 11*l + h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 3, 24, 61, 120?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 7. Let v(p) = -p + 1. Let i be v(11). Is j(i) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 16 + 7)*(0*i - i + 3*i)*((0 + 0 + 2*i)*(-1 + 0 + 0) + i + i + 4*i)*(-2 - 1 + 4).\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35805 is divided by 35742.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let w(g) be the third derivative of -5*g**8\/84 - g**7\/14 + g**6\/24 - 355*g**2. Factor w(d).\nAnswer: -5*d**3*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39108*f*v**3 - 18311*v**3 wrt f?\nAnswer: -39108*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/144)\/(1\/1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3320386, 3320387, 3320388, 3320389?\n\"Answer: z + 3320385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from cqkvlcqj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 + -0.7. What is the closest to -0.1 in 9, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34300)\/(-21)*5\/30. Let m = y - 53441\/198. Is 2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + w - 5. Let o(q) be the third derivative of -7*q**5\/60 - q**4\/12 + 3*q**3\/2 - q**2. Suppose 13*f - 14*f = 24*f + 75. Give f*o(l) - 5*g(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.2715 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 14. Calculate m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 787.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 2, -4, -1 in increasing order.\nAnswer: -9, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 75. Let z be ((-6)\/t - 0)\/(-61 + 34). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose p - 3*p - 14 = o*m, 2*p - 4*m = -8. Let t be (-66)\/(-4)*p\/(-9). What is the highest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28193.\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*z + 10, x + z - 4 = 1. Suppose x = 3*h - 24 - 9. Let l = 12 - h. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-12))\/(4140\/120))\/(1\/(-4)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 5, -14, -0.08, -2\/5, 1\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/(-4004)*(15 + -2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000166531881 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 302033.8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 26*u. Let p(m) = -105*m. Let d be 1\/4 - (-75)\/20. Let i be d + 3*(-2)\/6. Let f(t) = 8*t. Let h(q) = i*p(q) + 40*f(q). What is 3*b(y) - 16*h(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-5451)\/69)\/2449.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3837*x + 9278 wrt x.\nAnswer: -3837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 35211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.5. What is the third smallest value in y, -8, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126 + -5a21a?\nAnswer: -5a0b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28521471*y + 28521448*y - 2231 for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7296 and -101\/8928?\nAnswer: 678528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 2, 21.\nAnswer: -3, -2, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-q - 3*q - 2*q)*(2*q**2 - 3*q**2 + 4*q**2).\nAnswer: 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = 1. Let n be (1 - (0 + -2))*y. Suppose 4*i = 3*i, -j + 1 = -3*i. Solve j = -4*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 36 = -q - 6*q, -q = -5*y - 5*q + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -8, -17, -28?\n\"Answer: -l**2 - 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 6. Let y(w) = 7*w - 12. Determine 5*u(k) + 3*y(k).\nAnswer: k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(4 - 2*u**3 - 4) - 3*u**3 + 0*u**3 - 6*u**3 + (-u**2 - 3 + 3)*(-1 + 1 - 2*u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + x + 80 - 10, h + 3*x - 78 = 0. Let o = 2 - -13. Calculate the remainder when h is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 65.\nAnswer: -119\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b - 16. Let z be j(4). Suppose 0 = 56*t - 51*t + z. What is the least common multiple of 42 and (0 - t\/(-5))\/(6\/(-45))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -21*r - 3*r. Let j(l) be the second derivative of r*l**2 + l**3 + 3*l + 0 - 1\/12*l**4. Find the second derivative of j(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = 5*g. Let r(q) = 11*q**3 - 2*q**2 + 1. Let u be r(2). Suppose -u = -g*s - 21. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 34. Suppose y*q = -6, -5*v + 5*q - 2*q - 9 = 0. Sort 8, -5, v.\nAnswer: -5, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4435 divide 195858470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*m - 1, -3*h - 3*m + 1 + 13 = -103 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - i + i)*(i + 6*i - 3*i) - 5*i**4 + 8 - 8.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-108))\/(9\/114)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4616 divided by -2308.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3 + 48*a**2 + 1008*a - 12544 = 0.\nAnswer: -16, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b876 (base 12) to base 10\nAnswer: -20250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2200, 4401, 6602, 8803, 11004?\n\"Answer: 2201*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13645.2 + 48.2099?\nAnswer: 13693.4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 234, -2, -5, 0 in ascending order.\nAnswer: -5, -4, -2, 0, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 1. Let i be g(1). Suppose 4*w + 4*q = 12, -i = 2*q - q. Solve 2*z - 3*c + 10 = -0*c, -w*c + 16 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 21*c**2 - 65*c - 154. Let o be z(24). Solve -4*q + o*q - 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:42 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t\/(t*t\/(t\/((t*t**(1\/3))\/t))))\/t)\/t)\/(((t*t**(-2)*t*t)\/t*t)\/t))\/((t\/t**(-3\/4)*t)\/t**(-2)) assuming t is positive.\nAnswer: t**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0247+1\nAnswer: 0.9753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -9\/5 (b) 80 (c) 34 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121471296 >= 121471295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -3 - 12) + -1 + -6 + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 18*a - 15. Let n = a + 119. Let z = n + 333. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 7398*f**2 + 343482*f + 3962210.\nAnswer: -2*(f - 3745)*(f + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 + 25 = 0. Is 30 a factor of (q + 0)*8\/(32\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132 - 189) + 21 + -11?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 22. What is the tens digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-10) - (-1)\/(-5))*1. Let i be 5 + 1 - 2520\/450. Determine h so that -i*h**2 + f + 0*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3619088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6351, 50003, 168479, 399183, 779519, 1346891, 2138703?\nAnswer: 3192359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028668.\nAnswer: 2, 19, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -14*j**2 + 5*j. Let a(p) = -p**2 - 4*p. Let v(z) = -z. Let x(f) = a(f) - 3*v(f). Let n(k) = m(k) - 5*x(k). Find the second derivative of n(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17066107207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 50318, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*q**2 + 8*q**2 + 3*q**3 - 4*q**3 + (2*q + 0*q + 0*q)*(2*q + 2*q**2 - 2*q) to the form o*q**2 + v*q**3 + t + j*q and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 77648.9 from 1.4606.\nAnswer: -77647.4394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981630 is divided by 8487?\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 - 168179601560.\nAnswer: -168179601588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*5 - (2 + sqrt(28)).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**2 - 29*n + 15. Let m be j(2). Which is the closest to -3\/11? (a) 0.03 (b) m (c) 1\/2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*f**4 + 208*f**4 + 92*f**3 + 2 + 249*f**2 - 2 wrt f.\nAnswer: -24*f + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 9 = -2*c. Suppose 12 = -d - 3*s, 2 = 3*d - s + 28. What is the units digit of (-3)\/d - (-760)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/5 + 52*p**4\/5 + 234*p**3\/5 + 36*p**2 = 0. Calculate p.\nAnswer: -3, -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2340 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -45431*b + 3206 - 1613 - 1593 + 9637*b in the form w*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5852 + 5853. What is the nearest to 1 in -3\/7, 61, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - 3*m + 4*m, -4*m = 4*i + 16. Let g = -7 + i. What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.93 and 4.\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-4) - (-1)\/4. Let c be y\/(1\/(-1 - -2)). Let s(k) = -k. Let a(t) be the first derivative of 4*t**3\/3 + t**2\/2 - 8839. Give c*s(n) + a(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 24060172*h + 24060176 = 0. What is h?\nAnswer: -1, 6015044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-45) + 102\/(-5). Let r(p) = 30*p**2 - 2*p - 1. What is the common denominator of r(-1) and d\/(-110) + 497\/110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3105*212923\nAnswer: -661125915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-40)\/(-5) - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123302332333 (base 4) in base 8?\nAnswer: -33627677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-95)\/4 + (-13)\/52. Let z = 36 + o. Solve -3*l = -6*l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*h - 7 + 97 = 0, 0 = o - h - 30. Let s = o - 30. Let d(a) = -a**2 + 9. What is d(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*(-12)\/3*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6414597 (base 10) to base 4.\nAnswer: 120132010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/9)\/(4\/(-6)). Let l(y) = -2 + 2*y + g. Let z(u) = -4*u**2 + 7*u**2 - 2*u**2. Calculate l(z(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2492910*y. Let u(m) = 12*m. Calculate g(u(h)).\nAnswer: 29914920*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12485718 divided by -367227\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 1 + 1\/4*z**4 + 0*z**2 + 0*z**3 + 13*z. Let y(m) = -6*m. Calculate y(d(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101101*j - 129339?\nAnswer: 101101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -45*v - 13. Is 5 a factor of a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 60, 96, 130, 156?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.054.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 0*w - 5*w + w. Let h(o) = 2*o. Determine d(h(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/3 - 1\/6. Let q = 9 + 49. Let h = q + -63. Sort h, d, -0.3 in decreasing order.\nAnswer: -0.3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 = 3*q - 5, 0 = -5*l - 15. Let f(d) = 2*d - 1. Give f(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -764, -763, -762, -761, -760?\n\"Answer: m - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 4. Let j(g) = 2. Let x(w) = 2*j(w) + p(w). Let b(z) = 10*z. Calculate b(x(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 7. Let u be t(-2). Let d = 10 + u. Calculate the greatest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 1 + 8 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(88)\/sqrt(128)) + (sqrt(190)\/sqrt(40) - (-1*sqrt(57)\/sqrt(3) - sqrt(19) - sqrt(19))) + -2.\nAnswer: -2 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23068095?\nAnswer: 3, 5, 269, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 55911563?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -3\/8*x**2 - 5 - 1\/16*x**4 + 1\/4*x**3 + 1\/4*x. Let u(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 3}. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/240 and 79\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/470 + 263\/94. What is the common denominator of l and ((-1 - -12)*100\/350)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3424467 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s. Let q(x) = 3*x + 28. Let z(c) = -2*c - 4. Let o(h) = -q(h) - 7*z(h). Determine 3*o(f) - 4*v(f).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 10*c**2 + 2*c + 23. Let x be m(-10). Suppose 15 = 4*v + v. Suppose v*y = -y. Solve y = -u + x - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 3235 + 3259 = 0, -2*w + 12 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*m - 170*m**3 + 22*m**2 - 167*m**3 + 258*m**3 - 25*m**2 - 11*m**4 wrt m?\nAnswer: -264*m - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) 19 (d) -4 (e) -0.345 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -6 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1173*o**2 + 3512*o + 33. Give j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxror. Give prob of sequence ou.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2094*r - 89. What are the prime factors of x(-7)?\nAnswer: 17, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2)*(7*y + 2*y + 0*y) + (3*y - y - y)*(2 + 1 - 2))*(-7*y + 1 + 3 - 3) as n + h*y**2 + j*y and give h.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 183600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7422565*z**2 - 46397?\nAnswer: -14845130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*u + 54, -2*u + 10 = 2. Suppose 2*p + t + 2*t = 0, -4*p - 5*t = 0. Suppose p = -2*l + x + 33. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 - g**2)*(-5 - 6 + 3)*(0 - 1 - 1)*(1 - 2 - 1).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x + 12. Let q be s(9). Suppose q = -n + 9. Find the common denominator of 4\/10 + (-237)\/n and -6\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 + 227*r + 55. Let t(m) be the first derivative of q(m). Let o(y) = 268*y. Calculate o(t(f)).\nAnswer: -536*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*-1 + sqrt(110))\/sqrt(5) - (sqrt(22) + -1*sqrt(1078) + sqrt(1078)))\/(-6*sqrt(275) + sqrt(22)\/(-1*sqrt(2) - sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1889134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74007223 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16719.32076 to the nearest integer.\nAnswer: -16719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 40. Let q be v(-6). Put 3, q, 2, -1 in increasing order.\nAnswer: q, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600180?\nAnswer: 2, 3, 5, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f*h**2*n**3 + 5*f*h**2*n + 2*f*h*i*n**3 + 9*f*i*n**3 - 9*h**2*i + 2*n**3 - n**2 wrt i?\nAnswer: 2*f*h*n**3 + 9*f*n**3 - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvtlmememellmxe. Give prob of picking 1 v and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, w: 1, y: 1, n: 1, s: 4, k: 3}. What is prob of sequence ks?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -47.9824. What is r rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 92 = -2*i - 36 - 48, -4*i = -7*k - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20092 is divided by 5003.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*y - 24*y + 3728. Let r = y + -2349. What is the tens digit of (-2)\/(-7) + r\/(-77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -73*x**4\/6 + 36*x**2 + 13*x - 1. Differentiate h(j) wrt j.\nAnswer: -292*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 7*g**2 - 7*g - 7. Let j be s(8). Which is greater: j or -7\/16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*l**3*m - 12*l**3 + 17*l*m**3 + 2*l*m**2 + l + 1827 wrt m?\nAnswer: -70*l**3 + 51*l*m**2 + 4*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**4 - 5*b**3 - b**2 + 9*b - 9. Let j(y) = -y**4 + y**3 - 2*y + 2. Let i(a) = -18*j(a) - 4*z(a). Factor i(m).\nAnswer: -2*m**2*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 19*i**2 + 237*i - 1922. What is q(8)?\nAnswer: 1318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3568 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Let h be (-6 + 1)*(-1 + o). Let a(i) = i**3 - 2*i**2 - 3*i - 2. Let g be a(4). Solve h*l = -2*u + g, -3*l + 24 = 5*u - l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8132 (b) 4073 (c) -2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**15*b**(2\/31)*b)\/(b**(-23)*b*b*b*b**(-8)*b*b))**(-40) assuming b is positive.\nAnswer: b**(-16200\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1833)\/(-5) - (-258)\/(-430). Let t = h + -18. What is the greatest common divisor of t and 580?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fegwffwowwfegfwwmfww. Give prob of sequence mwfo.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.089 and 2161546521.233?\nAnswer: 2161546521.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102045681 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 41. Suppose v = 2*x - 20. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**2 - 1224*j - 5816. Determine x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m. Let o(k) = 737*k + 1. What is -2*d(p) - o(p)?\nAnswer: -721*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4786, 4778, 4760, 4726, 4670, 4586?\n\"Answer: -b**3 + b**2 - 4*b + 4790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {o: 5, t: 1, b: 4, w: 5, s: 2, z: 3}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 10*m**2 + 14*m + 21. Is a(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a1a7726 + -4?\nAnswer: -6a1a772a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3972 to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 186\/4 - (-4 - (-7)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) - 1*sqrt(363))*3 + sqrt(363) + sqrt(108)\/sqrt(4) + (sqrt(9)*-2)\/sqrt(3) + -1)**2.\nAnswer: -46*sqrt(3) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13207\/99 - 17918392\/133749. Let j = o + -1\/193. Let r = 13.2 - 12.2. What is the biggest value in 5, j, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * 0.092\nAnswer: -0.03864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 21?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -11102200?\nAnswer: 11102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/80*((-30)\/42)\/(2 + -1)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/2 - 50*o + 1. Let a(i) = -7*i**2. Calculate a(x(l)).\nAnswer: -252*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*h**2 + 2*h**3 + h**2 - 4*h**2 - 2*h**2 to the form n*h**3 + i*h + g + t*h**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 191 times -787\nAnswer: -150317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 162361, 322693, 483025, 643357, 803689, 964021?\n\"Answer: 160332*p + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (13 - 19) + 17 + -19 + -40 + -1\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + (4 - 2) - (0 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 22*z + 22*z - 13 to the form p*z**2 + t*z + b and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:00 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/k**(-3)*k)\/k)*k)\/k**(-6\/11))\/((k\/(k**22*k))\/(k\/((k**(-1\/12)\/k)\/k*k))) assuming k is positive.\nAnswer: k**(2855\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3 + (0 + 2 - 3)*(-1 - 3 + 2) - 2 - 1 + 1)*(4*s**3 - 2*s**3 + 0*s**3)*(-2*s + 1 - 1).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/41 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1620, -3283, -4946?\nAnswer: -6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2082 + 694 + 1762 - 478 - 95)*(0 - k**3 + 0) in the form u*k**2 + b + c*k**3 + v*k and give c.\nAnswer: -3965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 1 - 3)*(3*c - 2*c + c) - 378*c - 101*c - 92*c)*(10 - 10 - 7*c) to the form d*c**2 + s*c + t and give d.\nAnswer: 3969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 8*r**3 + 7*r**2\/2 + 266*r + 364. What is the first derivative of q(p) wrt p?\nAnswer: 48*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-483)\/1610)\/(9\/(-90)*-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1 (c) -31.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/40 + 15\/8. Suppose 0 = -y + 6*y + 5*c, 0 = 4*c + 8. Let b be (y\/6)\/((-27)\/18). What is the fourth biggest value in v, -0.3, b, -2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -16)*2\/4. Let g = p + 47. Suppose 0 = m + m - 3*w - g, 0 = -4*w - 8. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(24)\/(sqrt(24)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 10. Let k be l(4). Suppose 0 = -3*a - k*b + 40, 67 = 5*a - 0*a + 3*b. Suppose 2*x = 5*t - 34, -4*x - a = 3*t + 2. Is -7 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/840 + p**6\/40 + 9*p**5\/40 + 9*p**4\/8 - p**3 + 10*p. Let f(l) be the second derivative of b(l). Factor f(k).\nAnswer: (k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/4 + 2373*b**2\/4 - 100029*b\/2 + 97650 = 0.\nAnswer: -868, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 - 2*i**2 + 2*i + 21. Let l(n) = 21*n**3 + 11*n**2 - 10*n - 105. Give 2*l(j) + 11*o(j).\nAnswer: -2*j**3 + 2*j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041847 - -1041850. Let k = 159\/745 + -2\/149. Suppose 3\/5*g**f - 2\/5 + 1\/5*g**2 - 3\/5*g + k*g**4 = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24365, 49139, 73893, 98615, 123293, 147915?\nAnswer: 172469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 less than -3218910541?\nAnswer: -3218910504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 10 = -31*o. Suppose -p + 1253 = -0*u + 3*u, -4*p + 4992 = o*u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*16\/384*(-12)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 430.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107518784*y**4 + 10574519*y wrt y.\nAnswer: -1290225408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-5\/6)))\/(r**18\/r))\/((r*(r\/r**(-14\/3))\/r)\/r**(-12\/11)))**(-27) assuming r is positive.\nAnswer: r**(14607\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, o: 4, v: 3, r: 2}. Give prob of picking 2 o and 1 v.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*n + n - 42, -4*n + 44 = 2*h. Let y = h - 13. Suppose 3*b - 78 = 3*o, 4*b - 4 = y*b + 5*o. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 864 = 84*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - (-3 + 3)) + -3. Let k = 14 - d. Let s be 8\/(-10)*(-5 - 0). Solve 4*g - 8 = 5*i, -k*i - 4 = -6*g + s*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 89, 6, 2\/7, -6\/37, 0.2?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkf. Give prob of sequence ffkf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3775 is divided by 607?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 1, l: 1, h: 1, x: 1, d: 6}. Give prob of picking 1 x, 1 l, and 1 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -5 - 128\/(-24). Which is the nearest to -2\/17? (a) k (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -24*m + 2*m. Sort 3, m, -20 in ascending order.\nAnswer: -20, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68760300 and 6576?\nAnswer: 275041200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -10 + 13. Suppose 5*i + 6*s = s + 125, x*i = -s + 79. Differentiate i*o**3 - 6 - 22*o**3 + 1 with respect to o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5.73 (b) -0.4 (c) 0 (d) -0.3 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z - 36. Let i be (-76)\/(-18) - 6\/27. Suppose -i = q - z. Calculate the least common multiple of q and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 44 = -4*p, -q - 4*p + 0*p - 21 = 0. Suppose -2*k + 4*t - 2 = -0*t, 2*t + 1 = -k. Let u = k - q. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, b: 2}. What is prob of picking 1 m and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 10:46 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.6 - 277.6. Let z = 234 + p. Which is smaller: z or -249?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 - 5*w + 2*w**2 + 536*w**3 + 120*w**3.\nAnswer: 656*w**3 - 11*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/14 - 38\/(-133). Let b(s) = -s**2 + 12*s - 28. Let p be b(g). Suppose 5*v + 2281 = 2*l - 2640, -p*l + 9827 = -5*v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 16*l**2 + 6*l + 41. Determine w(15).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {b: 1, m: 1, v: 3, p: 9, f: 1, l: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -36.988\nAnswer: -3.6988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4137527361?\nAnswer: 3, 11, 73, 156139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 38 = 50. Solve -165*l = -161*l - y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p - 7. Let h(k) = 15*k + 8. Let o(b) = 6*h(b) + 7*w(b). Let m(i) = 3 + 6*i + 2 - 3. Determine -m(c) - 4*o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*r - 9 = 5, 0 = 5*b + 5*r - 25. Suppose -2*t - 3*p + 1 = -5, -3*t - p + 2 = 0. Solve t = 2*g - w - 7, -4*g + 17 = 5*w - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10 = n + 4*n, 4*z + n - 15 = 0. Solve -5*y = -z*l, -4*y = -l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -4423?\nAnswer: -9\/4423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12334.83 times -47\nAnswer: -579737.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4493\/2 - -2257. Factor -d*r - 147\/4 - 3\/4*r**2.\nAnswer: -3*(r + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 18936*f**3 - 2*f**2 - 20454*f**3 + 2*f**2 - 43 + 39386*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(9\/(-6) - (-11)\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42214 in 0, 259, 4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -13.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Calculate p(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d)**(-20) assuming d is positive.\nAnswer: d**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.7 and 25804 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -1 - 7 - (14 - (2 - 2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0 (c) -4 (d) -928 (e) 3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 2 = 19*w. Let b be w\/(-4)*(-2 - -2). Suppose m - 58 = -5*r, b*m - 42 = -4*r - 3*m. Solve 4*h - h = -r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1154 = 5*b - 1098, 0 = -5*b - 3*q + 2256. Is 75 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65283 is divided by 6519?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -141609799609 minus 4?\nAnswer: -141609799613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 30*a = -61*a - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-4)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1656599763, -3313199527, -4969799291, -6626399055?\nAnswer: -8282998819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 18490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20*d**2 - 40*d - 4. Let c(o) = o**2 - 17*o. Let v(n) = -2*c(n) + s(n). Give v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15397.39 millilitres to litres.\nAnswer: 15.39739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15478, -15475, -15472?\n\"Answer: 3*a - 15481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t, -5*t = -8*s + 3*s + 158561 - 50141. What are the prime factors of s?\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 - 2.4. Let w = 6.585 + m. Let x = 15.015 + w. Round x to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782202 is divided by 172?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/68473613 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2720, -11 in descending order.\nAnswer: -7, -11, -2720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 787284 and 120726.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4))\/(j\/(j**12\/j*j))*(j*j**(1\/4))\/(j\/((j\/j**(-2\/13)*j)\/j*j*j)))**(4\/27))**37 assuming j is positive.\nAnswer: j**(21941\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -243.6 + -4\nAnswer: -247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 7. What is the tens digit of 273\/14 - 6\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3126 divided by 6?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {f: 1, x: 2, e: 2, q: 1, l: 2, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f**27*f))\/(f*f*f**12)**(4\/11) assuming f is positive.\nAnswer: f**(-430\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -4.98. Let u = -95 + 95. Let t be ((u + -3 + 4)*2)\/(-9). Which is the biggest value? (a) 5 (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 15 + 9. Suppose 0 = -5*f + g - 2. Let u(d) = -2*d**f - 2*d**2 - 6*d**2. Let k(b) = 2*b**2. Give u(k(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(-87)\/(-406)*8\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31418236 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3245 (base 6) to base 9\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2*2*sqrt(2299) - ((sqrt(2299) + -1 - sqrt(2299)) + -2)) + 6*-2*sqrt(2299) + (sqrt(2299) - -4*1*sqrt(2299)))*-5)**2.\nAnswer: -44550*sqrt(19) + 4657500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*r - 18388, 117*p - 120*p - 4*r = -55180. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g - 5. Let n be j(1). Suppose 0 = n*x - 14*x - 35. Solve s + 1 = t, -4*s = -0*s - x*t + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5)*6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - i**2 + 0)*(-2*i + 5*i - 2*i) - 8*i**3 - 12*i**2 + 12*i**2)*(0*i**2 + 2*i**2 + 0*i**2).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28274848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33911966 is divided by 16955978?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 2\/281, 0.05, 5\/6, 0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 1, -3, -4 in increasing order.\nAnswer: -34, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubbuubuubbbbbubuuuu. Give prob of picking 1 b and 2 u.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50740 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37323146 to the power of 1\/2, to the nearest integer?\nAnswer: 6109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 + -1.78. Is 0.8 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 4*s - 2*s + (-1 + 1 + 2*s)*(5 + 44 + 1 + 5 - 3 + 0 + (3 - 2 + 2)*(2 - 1 + 1)).\nAnswer: 114*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 654*r**3 + 210.\nAnswer: 1962*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 8*y**2 - 3*y + 31. Let a = -285 - -273. List the prime factors of t(a).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, v: 5, q: 1, h: 2}. What is prob of sequence ve?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8207*v + 1025*v**3 + 8247*v - 16454*v.\nAnswer: 1025*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1635)\/525 + 3)*(-7)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 3. Let r be l(2). Suppose 7 = -d + r. Suppose u + d*u - 197 = 4*h, -200 = -3*u + h. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iigi when four letters picked without replacement from giggggigigii.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -880.2508161 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-2 - -1)*15. Let z = m - -94. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132960 is divided by 86.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 6*b + 11*b)*(-b - b + 3*b) + (3*b - 3*b - b)*(2*b + 2 - 2) - 3 + 3 - 2*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i**2 - 11 + 6*i + 7*i + i**2 - 3*i**2. Let g(m) = -m**2 + 6*m - 5. Let l(o) = 9*g(o) - 4*u(o). Solve l(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - 2*t**4 + 0*t**2 - t**2 - 2 - 7*t**2 - t**3 as l*t**4 + m*t + y + w*t**3 + a*t**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 divided by -9?\nAnswer: -317\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiieie. Give prob of sequence eei.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 18. Let f = 20.8 - 20.7. Are l and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 6. Let c be h(0). Let w(l) = 2*l + 5. Give w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 6, -2\/5, 1, -26?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w*w**(-7))**2)**(-13) assuming w is positive.\nAnswer: w**(754\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 - (15 + -34 + 23 + 30).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3264*d + 30608 = 1976*d - 140538 + 13946 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/30 + 5*a**4\/24 + 6*a**2. What is the units digit of q(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 18 = 18*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 1, t: 2, x: 6}. What is prob of sequence pxt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 40*f**2 + 2*f + 140. What is u(-21)?\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Let a = -5 - -9. Suppose -a = b - 7. Solve -p + 0 - b = r, -1 = -z + p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1124747 rounded to 3 dps?\nAnswer: -4.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*(-4 + 6). Let v = 1246 - 1249. Put -1\/6, -2, i, v in increasing order.\nAnswer: v, -2, -1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 72*a - 80. Let n be o(6). Calculate the highest common divisor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -67. Let w(p) be the first derivative of -p**4\/4 + p**3 + p + 1. What is w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321748 is divided by 650.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*x = -0*x + 50, 3*q - 4*x = -43 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16480*b**3 - 8174*b**3 - 8309*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*l**2 - 5*l**2 + 1.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 46*r - 48*r + 32, -2*c = 2*r - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357981261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-18)))\/(v**(2\/19)*v*v*v) assuming v is positive.\nAnswer: v**(-420\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*(-12005)\/(-11319)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 430013 + 5*p**2 - 430013 - 3*p - p**2. Let k(t) = -5*t**2. Give k(g(y)).\nAnswer: -80*y**4 + 120*y**3 - 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24 - 22 - 5\/6. What is the closest to -0.4 in f, -2\/11, 1\/5, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, and 2 p when four letters picked without replacement from {g: 1, m: 5, a: 4, p: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-24) + 2\/(-3). Suppose w = -q*w. Solve w = 3*p + 2*b - 18, -2*p - b = 2*p - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 38*j**2 + 38*j + 35. Let g = -104 + 67. Give f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**3 + 1495 - 447 + 24*i**3 + 2250 - 27*i**3.\nAnswer: 12*i**3 + 3298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(6 - 5 - 7)*(24 + 7 - 8).\nAnswer: 276*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 370.425 millennia?\nAnswer: 4445100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30006 is divided by 2301.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 40. Let m = s + -5. Let q = m + 2. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16249569 and 525504?\nAnswer: 8211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5500, -0.1, -3 in increasing order.\nAnswer: -5500, -3, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-5) + (-2979)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 16 = 42. Let h be (i\/(-10))\/(12\/120). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -21*w - 1. Let y be p(-3). Let f(b) = b**2 - 198*b + 1522. Let q be f(8). Calculate the greatest common factor of y and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**4*q + 71*k**4 - 13*k**2 + 22*k*q - 11*q wrt k.\nAnswer: 384*k*q + 1704*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41528*b*v - 9*v - 167 wrt b.\nAnswer: 41528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 3*w + 1. Calculate the remainder when b(4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 + 99\/22. Let t = c + -11\/2. Sort 3\/7, t, 5 in decreasing order.\nAnswer: 5, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3000519 is divided by 3000510.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*183\/(-122).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -3481407?\nAnswer: 3481404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = -24*a - 30. Let f be 93\/15 + a\/45. What is the smallest value in 0, 3\/7, 1\/8, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)*(-15 + 7). Let w(t) = t**2 + 8*t + 9. What is the remainder when 24 is divided by w(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 15 = 0, q + 4*h - 22 = 0. Let i = 2 - q. Find the third derivative of f**2 + 0*f + i*f - f**6 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 13*c + 8. Let b be a(-8). Suppose b = f - 37. What is the highest common divisor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaogaga. Give prob of picking 2 a and 1 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(833))*2 - sqrt(833)) + (1*sqrt(68)*3)\/sqrt(4))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w. Suppose w = -3*b + 2*y + 590, 5*b = 2*b - 4*y + 566. Let x = b + -108. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-2)\/(-24)). Let r(s) = s**2 - 5*s - 1. Let o be r(v). Let l be ((-8)\/(-5))\/(2\/o). Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*u + 3, 2*m - 3*u - 19 = -4. Find the first derivative of 3 + 10*t**3 - m*t**3 - 2 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 5*d + 5130, 1010 = -f - 5*d. Let v = -711 - f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 - 96. Let a be (2 - (-1 + 16))*x\/(-9). Let b be 4\/(-26) - (-3597)\/a. Calculate the greatest common factor of b and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**3 - 7*d**2 + 10*d + 9. Let t(v) = -7*v**3 + 5*v**2 - 7*v - 6. What is -7*t(i) - 5*u(i)?\nAnswer: -i**3 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -7*l**6\/60 + l**4\/12 + l**3\/3 + 82*l**2. Find the first derivative of u(y) wrt y.\nAnswer: -42*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:33 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(132)\/sqrt(176))**2 - (5 + sqrt(12)*2) - (sqrt(192)*1 - sqrt(6)\/(sqrt(8)\/sqrt(4)) - (5 + -3 + sqrt(48)))**2.\nAnswer: -69\/4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v + b, 5*v + 2*b - 36 = b. Suppose 6*n - v*n + 3 = 0. Solve -j - n*m = -3*j + 6, -4*m - 16 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (-90)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12932 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1) - (-280)\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = 73 - 59 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -305865239 to the nearest one hundred thousand.\nAnswer: -305900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1282 - 864. What is the remainder when v is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - u - 10 = -2*y, -4*y - 5*u + 32 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 2375?\nAnswer: -2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203679872 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 1377, 2272, 3143, 3984, 4789, 5552, 6267?\nAnswer: 6928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l. Let o(a) = 2*a + 4. Let b(y) be the second derivative of -y**3\/6 - 3*y**2\/2 + 12*y. Let n(t) = 4*b(t) + 3*o(t). Determine n(w(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 1055, 1684, 2565, 3698?\nAnswer: 5083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5877 from 173.3.\nAnswer: -5703.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -135046?\nAnswer: 135052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18458 not equal to 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -730 or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 144*t**2 + 750*t**2 + 43)*(0 + 5 - 1)*(4*t - 4*t + t).\nAnswer: 2424*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = -71*u, 3*a + 39 = -2*a - 3*a + 4*a - 7*u - 6*u + 14*u for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/23*6\/2*9\/27?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 11*f**2 - 24*f + 29. Let m be j(-13). Solve m*o - 13 = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 22*h - 2*o + 84, -o = -10*o + 13*o + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 330864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -150, -35, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/871 - 13057\/6968. Find the common denominator of (-1)\/(-24)*(-133 + 30\/(-5)) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15684366.\nAnswer: 2, 3, 2614061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-790)\/(-237)*36\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.25821ml to litres.\nAnswer: 0.00825821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = z - 555. What are the prime factors of z?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 14. Suppose p - 21 = 3*k, -4*p - 2*k + 18 = 4. Calculate the greatest common divisor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21837.65 - -22467. Let w = 587.3559 - g. Let t = 42 + w. What is t rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*m**2 + 67*m**2 + 31*m - 9*m**3 + 10*m**3 as u + q*m**3 + y*m**2 + c*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14706126 divided by 3\nAnswer: -4902042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.47 - 0.2. Let v = o - 26.87. Let g = v + 26. Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 3*x**2 - 45726063*x**3 - 32833159*x**3.\nAnswer: -78559222*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxwxwwx. What is prob of sequence wxw?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12907755*z - 12907755*z - 406*z**2 + 2 to d + u*z**2 + h*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(363) + (1*sqrt(363))**2).\nAnswer: 44*sqrt(3) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.3, 6, 1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10823 - 2801. What are the prime factors of q?\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687568710 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8534?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 x when four letters picked without replacement from xoooxoxoxooooxoooox?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57433, -459580, -1551081, -3676600, -7180801, -12408348, -19703905?\nAnswer: -29412136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 - 3*z**2 + 4*z + 2. Let c be l(6). What is the first derivative of -2*f**4 + 6 + 2*f**c + 5*f**4 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 18*k**2 - k - 10. Give y(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 730458?\nAnswer: -730454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 47215008.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.934 - -0.066. Let l = 29.44 - s. Round l to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:03 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 2*k**2 - 10*k + 2. Let p(l) = 16*l**3 + 11*l**2 + 49*l - 11. Give -11*g(z) - 2*p(z).\nAnswer: z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, m: 7}. What is prob of picking 2 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 1194?\nAnswer: 10746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzjekjjjjjek. Give prob of picking 2 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -21. Find the third derivative of -c*w**2 + 2*w**4 + 3*w**5 + 6*w**2 - 2*w**4 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 25 - -21 - 20 - 43\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0d8 + 98e?\nAnswer: -a74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.59 + 2.5. Let o = -948 - -944.09. Let v = o + u. What is the second smallest value in 0, v, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*v**2 - 1 - 8*v**2 + 4*v**2 + 4*v**2 as p*v**2 + a*v + q and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - 2*c**3 - 4*c**3 - 1291*c**2 + 17*c**4 + 1292*c**2 + 8 + 26 to the form o*c**2 + a*c + q*c**4 + g*c**3 + u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -35*v**2 + 31*v**2 - 4 + 4. Let u(d) = 2 - 2 - d. Calculate b(u(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 79 - 36 - 72.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 44. Suppose -19*l = -20*l - 120. Let t = l + 165. Calculate the remainder when t is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303335 is divided by 963.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6, -5*j - 14 = -2*o - 2*j. Calculate the greatest common divisor of o and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -764975*i**3 - 3297129*i wrt i.\nAnswer: -4589850*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 34. Let i be (8\/20)\/(2 - y\/10). Let m(k) = -k**3 - 6*k**2 - 5*k + 3. Give m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1188332 + 1001668. What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1252*g**2 + 1252*g**2 - 3 - 66*g**3 + 63*g**3.\nAnswer: -3*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 4*u**2 - 4*u + 6. Let q be 6\/(-2) + 2*-1. Let y(r) = 3*r**3 + 5*r**2 + 5*r - 7. Let j = -1 + -3. What is j*y(z) + q*v(z)?\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-9*f**3 + 9*f**3 - 4*f**5) + f**5 + 2*f**5 - 6*f**5 + (-2*f**5 + 4*f**5 + 3*f**5)*(0 - 1 + 0).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31148322 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*s*w**3 + 29*q**2*w**3 - q*s*w**2 - 2*q*w**3 + 8*s*w**3 - 3*w**2 with respect to s.\nAnswer: -2*q**2*w**3 - q*w**2 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 0 - (1049 - 991).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 1. Let q be r(7). Let x(b) = -b - 13. Let j be x(q). Suppose 41 = 3*y + 32. Solve j = -4*g + 7 - y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*j + 12*j + 108848 + 17720. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-3 + 34 + -10 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Let g be (-2)\/6 + 14\/24. Let b = 2.646 + -0.646. Put b, q, g in increasing order.\nAnswer: g, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.3239ms to microseconds.\nAnswer: 112323.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 18*s - 224. Solve 3 = 9*m - s*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*a, -4*k + 5*a = k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1177975*a**2 + 76*a - 4409 wrt a?\nAnswer: 2355950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-32))\/(2\/356). Suppose 4*t + j = 369. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Suppose -v - a = -2, 5*v + a - 8 = -3*a. Let r be (-3*1)\/(4 - 5). Let u(b) = -b + r*b + v*b - b. What is u(s(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*x + 288 = -212*x - 76. Put x, 5, 5829, 0 in increasing order.\nAnswer: x, 0, 5, 5829","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -229?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (352*i + 445*i**3 - 352*i)*(-2 + 3 - 3) + (-67*i - 20*i - 16*i)*(3*i - 4*i - i)*(0*i + i - 4*i) as n*i**3 + p + a*i**2 + u*i and give n.\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 v when four letters picked without replacement from vpvpavapvp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189479939?\nAnswer: 3, 563, 704251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**10\/30240 + b**9\/15120 - b**8\/6720 - b**7\/2520 + b**4\/6 - b. Let w(v) be the third derivative of t(v). Factor w(h).\nAnswer: h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 28270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:22 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p + 121*p + 168*p + 36*p + (p + 3*p - 2*p)*(-6 + 12 + 6) in the form a + b*p and give b.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 306, 5, -3\/2, 0.5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 73. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 = -5*r, 4*r - 3*r = j. Suppose 0*b - 5*b + 2380 = 0. Suppose -y = j*y - b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*f**3 + 117*f**3 - 245*f**3.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 49472427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let y(v) = 2*v**2 - 20*v + 312329. Determine q(y(c)).\nAnswer: 2*c**2 - 20*c + 312329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 54. Calculate w(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d + 242*d - 9 - 3930 = -112*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3630 and 5962.\nAnswer: 983730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 599097827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a**5\/11 - 138*a**4\/11 + 1152*a**3\/11 + 192*a**2 - 4608*a\/11 + 1536\/11 = 0. Calculate a.\nAnswer: -4, 4\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*y + 1 = p, 4*p - 5*y = 9. Let o(g) = -g + g**2 + 7*g + 3 + p. Let f(l) = -5*l**3 + 2*l - 1. Let n be f(1). What is o(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 5)\/((-30)\/5 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/596 and (-1353)\/(-540) - (-5)\/(-50)*2.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 20 = 6*t - b, -3*b = t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t + 25. What are the prime factors of t\/14 - 436\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*z + 2, 0 = -5*z - r - 4*r + 20. Suppose 4*i + z = l + i, 2*i + 2 = l. What is the units digit of (-4 - -7) + 2 + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 - 3*n - 1. Let t(g) = 1911*g**2 + 12*g + 4. Let d(p) = t(p) + 4*y(p). Let v(u) = u**2. Give v(d(w)).\nAnswer: 3822025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 - 63*u**4 - 344*u**3 - 710*u**2 - 300*u + 125.\nAnswer: -(u + 1)*(u + 5)**3*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1052 and 1566428.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/((-6)\/16). Let y(l) = -5*l**3 + 2 - 3*l**2 - 3*l**3 + 2*l + 4*l**3 + 3*l**3. Calculate y(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 56*r + 5. Let j(f) = -f**2 - f + 1. Let h(o) = -5*j(o) + z(o). Let h(k) = 0. Calculate k.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3740102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 3, 5, -5, -1, 0 in increasing order.\nAnswer: -5, -1, 0, 3, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43, 54, 79, 124, 195?\n\"Answer: b**3 + b**2 + b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8111263\/240 - 33797. Find the common denominator of g and 13\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 1. Let c be y(-3). Let o(k) = 6*k - 2. Let m(l) = 7*l - 3. Let a(q) = c*m(q) - 3*o(q). Give a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/87 and -151\/88044.\nAnswer: 88044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 - -9 - (-494 - -480) - 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48636?\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(1\/41)*o**(-3\/5)\/o**0*(o\/o**(2\/3)*o*o*o**(-1\/6))**(-20) assuming o is positive.\nAnswer: o**(-27004\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7 + 2*j - 4 + 2*j - 2*j + 2. What is x(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-14)\/(x*x\/x**(3\/8)) assuming x is positive.\nAnswer: x**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ingfweegwfwffgnwe. Give prob of picking 1 f and 1 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*y + 17 = 0, -5*y = -4*s - 0*s. Suppose 3*t - 5 + 2 = -s*g, 4*t + 3*g = -7. What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + 3.5. Let p = -5 + v. Suppose -2*z - z + 15 = 0. Which is the closest to p? (a) 0.5 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -577 and 190004.\nAnswer: -109632308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4\/(i*(i**(-7)\/i*i*i)\/i))\/(i**1)**(-50))**40)**(1\/14) assuming i is positive.\nAnswer: i**(1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 20*i**7\/7 + 16*i**3\/3 + 9. What is the third derivative of d(a) wrt a?\nAnswer: 2400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*(a\/(a**2*a))\/a)\/(a**(-2\/99)*a*a*a*a**(-11\/8)*a) assuming a is positive.\nAnswer: a**(-1421\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - y = 0. Suppose 5*k + 4*r - 12 = -5, 5*k + 2 = -r. Let p = k - -3. Put p, y, -5 in increasing order.\nAnswer: -5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 11, i: 6, p: 1, e: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/3 + 70251820*x\/3.\nAnswer: 4*x*(x + 17562955)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1004 or -0.0403?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*-1*sqrt(17) + ((sqrt(170) + sqrt(170)*5)*-5)\/sqrt(10).\nAnswer: -25*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7. Let n(t) = -t. Let f(c) = 5*n(c) - r(c). What are the prime factors of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 405\/(-702)*-13*(-1 + 14\/10). Which is the closest to -7? (a) 1 (b) 0.009 (c) o (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*35\/(-21))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 18 = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12034 and 363208?\nAnswer: 3995288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*c - 6, 4*x + 2*c + 1 = 7. Let t(s) = 24*s**3 + s**2 - s. What is the units digit of t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and -2.8306.\nAnswer: 175.4972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -0.074, -0.4, -6 in increasing order.\nAnswer: -6, -4, -2, -0.4, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1826434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 48. Let n = -51 - y. Let d = 0 - n. Solve d = w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, n: 1, h: 1, z: 3}. Give prob of sequence nf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let s be a\/((2 + -3)*1). Solve -7*k + s*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 980*m. Let o(u) = -u - 24. Determine x(o(c)).\nAnswer: -980*c - 23520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 14\/5)*-5. Let c = -42 - -53. Suppose c*x - 8*x - 9 = 0. Solve 0 = g*t - x*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254064922 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 214035052 (base 6) to base 14\nAnswer: 71a0c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 662168 and 140074.\nAnswer: 7283848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678485258 to the power of 1\/2, to the nearest integer?\nAnswer: 75356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 - 1258*j**4 + 200944*j**3 - 983432*j**2 + 1562496*j - 778752 = 0 for j.\nAnswer: 1, 2, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(162)*-1 + 1)*-4)**2 + -4)*-6.\nAnswer: -15642 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13953 in -1, 75, 1, -3, 6?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24159534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*d + 352 = 0, -3*x - x + 364 = 2*d. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-4 - (-6 + 4))) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/7 - 20479*a**2\/7 + 104898539*a\/7 - 523980845\/7 = 0. What is a?\nAnswer: 5, 10237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*f**4 - 239*f**3 - 258*f**2 + 737801579 with respect to f.\nAnswer: -648*f**3 - 717*f**2 - 516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797485 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/34 and (-4)\/(-14) + 678\/28 + -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*p = 195*p - 9. Solve -4*k + p*k - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 - 2*n**2 + 4*n - 4. Let f be g(2). Let d = f + -33. Let i be (d\/30*-4)\/(-1). Which is the nearest to i? (a) 4 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3773 + -3772.9998677. What is s rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 10:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 74\/3*l**6 + 0*l**5 + 90 + 0*l + 0*l**2 - 36*l**3 + 0*l**4. Find the third derivative of r(i) wrt i.\nAnswer: 8880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31919, 31932, 31951, 31976, 32007?\n\"Answer: 3*a**2 + 4*a + 31912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5089907 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -1\/5, 2\/3 in ascending order.\nAnswer: -1\/5, 2\/3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose q = 4*o - 2*o - 112. Suppose -2*r + 0*g + 2*g = -22, -4*r - 2*g = -o. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*20\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + (-4 - (7 + -3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3542491.\nAnswer: 37, 67, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7 and -251.71402.\nAnswer: -253.41402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*i**3 - 8*i**3 + 11*i**3)*(-i - 2*i + 2*i)*(3 - 1 - 1) as v*i**2 + g*i**4 + l + y*i + k*i**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 7*p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -20. Let p(r) = -r - 11. Let t be p(m). Let j = t + 7. Which is smaller: j or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4397.497 days to microseconds.\nAnswer: 379943740800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/6433 - 57877\/32165. Which is the third smallest value? (a) 6\/131 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d6 (base 15) to base 11.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + a = -2*a - 234, 204*a = 200*a. What is the remainder when 688 is divided by h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286186*r**2 - 122985*r.\nAnswer: -572372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 271, 157, 19, -155, -377, -659, -1013, -1451?\n\"Answer: -2*b**3 - 100*b + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 z, and 1 y when four letters picked without replacement from zhhhzzyzy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -122*s - 243. Let u be h(-2). What is the nearest to 5 in -5, 5, 0.21, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207272 and 6952?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 4) + 6\/2. Let j(n) = n - 2. Let u be j(b). Let p be (-75)\/65 + 0 + u. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 974*v**2 - 1042170*v - 10700.\nAnswer: 2*(v - 1070)*(487*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 42*w - 806 = 16*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 20. Let n be s(-9). Let b(m) = 7*m - 4. Let x be b(n). Calculate the remainder when 16 is divided by ((-108)\/90)\/((-2)\/x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*m - 1133*m + 569*m = -99 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/63*(135\/20)\/(-9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7722652019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 418048 = 17*p + 21*p. Is 71 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 19*s**2 - 2*s - 2. What is the remainder when 30 is divided by h(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 364?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (5 - 5269)\/(-8). Let h = q + 664. Which is smaller: 3\/7 or h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/5 + (0\/(-31))\/4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1535111 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n + 8. Let q(x) = -x**2 + 3*x - 9. Let y(o) = 4*a(o) + 3*q(o). What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k - 46. Let u = -16 + 40. What is the remainder when (-6 - -3)\/(3\/k) is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -184. Let a be -4*y\/(-36) - 120\/(-54). Solve l = a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(567) + (1*sqrt(567))**2 - sqrt(567)*-1*3)*6.\nAnswer: 216*sqrt(7) + 3414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:45 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288))\/sqrt(9) + 4*(0 + sqrt(2))**2*3.\nAnswer: -8*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5017336 divided by 4?\nAnswer: 1254334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2062*i**3 + 2066*i**3 + 1994*i**3 - 10250*i**3 + 2063*i**3 + 2061*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from djvjvsjvjvvvsvvvv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16808 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48 - 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3392548522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-6 - 3) - (9 - 10)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530 and 68123?\nAnswer: 36105190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/(-3*(-18)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2089552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -86*i**2. Let w(x) = -7*x**2 - 2*x. Let o(k) = 24*k**2 + 6*k. Let a(y) = o(y) + 3*w(y). Determine v(a(t)).\nAnswer: -774*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98574, -98605, -98632, -98655, -98674, -98689, -98700?\n\"Answer: 2*s**2 - 37*s - 98539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -0. Let t be (-2)\/(-2) + 3 + m. Put -4, -2, t in decreasing order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 28. What is the smallest common multiple of c and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 10 = -2*f + 50*m, -f + 5*m + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89106 and 100?\nAnswer: 4455300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 30*p**2 + 39*p - 455. Determine g(29).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (1*2*sqrt(68) - sqrt(68))) + sqrt(68) - (sqrt(68) - -2*sqrt(68) - sqrt(68))*3)\/((2*sqrt(432))\/sqrt(3)*1).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*((sqrt(147) + -1 - sqrt(147)) + sqrt(147)) + (2*(1*sqrt(147) - sqrt(147)))**2 - -1*-6*(sqrt(147) - sqrt(147)*-4)).\nAnswer: -12 + 924*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098.8817 minutes in hours?\nAnswer: 18.314695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7573570 (base 8) to base 16\nAnswer: 1ef778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116185, 232368, 348551, 464734, 580917, 697100?\nAnswer: 813283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 - 0.225. What is the closest to 1 in -2, o, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (0 - 2)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 5*z - 3*a, -3*z + 296 = -4*a + 2*a. Let y(g) = 5*g - 33. Let l be y(-7). Let t = z + l. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/675 and -93\/8?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*o - 207*o - 354 - 228 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*f + 588*f + 8*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 22 - (9 + (-20 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 0*h)*(2*h + 2*h - 3*h) + 0*h - 374754 + 2*h + h**2 + 373287.\nAnswer: -h**2 + 2*h - 1467","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) 0 (b) -7 (c) 2\/3 (d) -0.5 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -201044 divided by -5?\nAnswer: 201044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnejjjeedejdenelnee. What is prob of sequence eed?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(m**5 + 4 - 4).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcf when three letters picked without replacement from {c: 9, x: 6, f: 2}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -732\/5. Let o = -0.2 + 0.37. Let v = o - -0.03. Which is the second smallest value? (a) v (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(-1)*(-2)\/(-5) is divided by -1*(-2 + 3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71837199, -71837200, -71837201, -71837202?\nAnswer: -71837203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 16. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339\/1287 + (-75)\/9?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21727296, 21727299, 21727304, 21727311, 21727320, 21727331?\nAnswer: 21727344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - 4*f**2)*(-f**3 - 2*f - 2*f**2 + 2*f - 2*f**3 + f**3 + 2*f**3 + (0*f - 2*f**2 + 0*f)*(4*f - 4*f - f)).\nAnswer: -8*f**5 + 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 9. Let k be a(-5). Let t(g) = -7*g + 10. Let m(q) = 8*q - 11. Let r(p) = k*m(p) + 7*t(p). Give r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220712060 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33525 and 855?\nAnswer: 636975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*1135 - (-40 + 46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1126*i + 100669. What is v(-89)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 3*m + 19. What is v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 6. Determine g(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 5 + (sqrt(192) - sqrt(192)*-4)**2).\nAnswer: -9616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1087272 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-30)\/14 + (-51)\/(-119). What is the closest to -1\/2 in -0.2, z, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -62. Let x(n) = n**2 + n - 1. Let a(i) = 5*i**2 + 10*i - 10. Let k(q) = l*a(q) - 6*x(q). Factor k(m).\nAnswer: -(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, k: 4, m: 1, p: 5}. What is prob of picking 1 p and 3 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 4*l. Which is greater: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and (-1)\/(-60) - (0 + -6 - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1662922 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234772 or -234774?\nAnswer: -234772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52503 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (14 - (11 - -14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.3?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4 - 2)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqq when four letters picked without replacement from qqppqp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -49, -70, -101, -142, -193, -254?\n\"Answer: -5*v**2 + 4*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 9. Let p be t(-4). Suppose 0 = -0*g - g + p. Solve 3*x + g = 0, -2*x - 2*x + 6 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21539*r + 295987*r + 102877*r.\nAnswer: 420403*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*y + 16*y - 38. Let m = y - -17. Let d be (-222)\/(-18) + m\/(-3). Solve -4*i = -3*x + d, 4*i + x - 5 = -2*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1386 + -101496?\nAnswer: -102871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 260\/35 + (-6)\/14. Let p be j\/(-3)*(-4)\/28*-6. Let u(y) = -3*y**2 - 5*y - 5. Give u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a5d - -1?\nAnswer: -1a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -296*g**2 + 1464*g - 1596. Let q(r) = -59*r**2 + 293*r - 319. Let c(j) = 24*q(j) - 5*y(j). Factor c(b).\nAnswer: 4*(4*b - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18707.696 rounded to the nearest ten?\nAnswer: 18710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 + 14 = 0. Let w be (h - -2)\/(-1 - -3). Solve w = 2*r - 4*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7592838 from 589827.\nAnswer: 8182665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*l - 30 = 5*t, t - 2*l - 8 = 0. Let f = t + 6. What is the second derivative of 11*a**4 + 3*a - f*a**4 - 6*a**4 wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6641, -6698, -6765, -6848, -6953, -7086, -7253, -7460?\nAnswer: -7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 7761*n**2 + n**3 - 4*n**3 - 7745*n**2 - 3*n**3.\nAnswer: -n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539014763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221545*k + 260060?\nAnswer: 221545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 23*h**2 - 66*h + 72 + 8*h**3 - 12*h**2 - 4*h**3.\nAnswer: -(h - 3)**2*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 9. What are the prime factors of 14 - (g + (-2 - -1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {e: 2, x: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21*(12\/72)\/(2\/4). Let m(a) = 6*a - 34. Let b be m(p). Solve -16 = 4*h - b*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3 + 3*t**2 + 3*t - 542. Let m(h) = -7*h**2 - 6 - 9*h + 2 + 2*h. Give -5*i(c) - 4*m(c).\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 397873007 + -8259843702569\/20760. Let j = g - -11\/865. What is the common denominator of 41\/20 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:27 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -6. Let k be ((-8)\/(-14))\/(f\/(-56)). Solve -5*x + 5*u + 5 = 0, -4*u - 13 = -k*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 114615?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*m*r**2 - l - 2*m**2*r**2 - m**2*r - 11382*m**2 + 2635*r**2 wrt r?\nAnswer: -4*l*m - 4*m**2 + 5270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 4239.2\nAnswer: -16956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p + 107. Suppose 2*h - 3*y - 34 = 0, 4*h = -2*y - 1804 + 1856. Give k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(5) + -1)**2)*4.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29538752*x**2 + 29538759*x**2 - 59077508*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(240)\/sqrt(10))\/sqrt(8) + sqrt(3)) + 1.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7481433, -7481425, -7481429, -7481451, -7481497, -7481573, -7481685, -7481839?\n\"Answer: -h**3 + 15*h - 7481447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2. Let c be k(5). Suppose -3*f = -4*n + 2*n - 4, c = -3*n + f - 6. What is the least common multiple of (-18 - -2)\/n + 1 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, f: 7, j: 1, a: 1}. Give prob of picking 1 s, 2 f, and 1 a.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -19. Let f = 62.99 - 63.39. Sort y, 2, f.\nAnswer: y, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 - -317. Solve -3*l - l + d*v = -12, 3*v + 4 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:10 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -837.\nAnswer: -10044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 14328.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -215 + -5?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-8 + (-3 + 0 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let h be (6\/f)\/((-3)\/(-20)). Solve -h = -i - 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (11 - (-8555)\/(-783)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, -3, -2, 5, 20, 4 in ascending order.\nAnswer: -119, -3, -2, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let k = -9.6422 + 9.7422. What is the closest to k in -2, f, -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2. Let p(x) be the second derivative of 0 + 0*x**2 - 1\/6*x**3 + 36*x. Give t(p(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = 4. Suppose y*o - 4*n = 2, -3*o + 14 = o + 2*n. Let d = -1 + o. Solve 2*l + d*l + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 46 + 2*a**2 + 16 - 9*a. Suppose 0*d - 11*d + 234 = 7*d. Calculate the remainder when 39 is divided by q(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 30. What is the tens digit of p(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojaaco. What is prob of picking 1 j, 1 c, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52c (base 13) to base 10.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13061 + 19754. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.06812 rounded to zero decimal places?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -220433 (base 5) to base 8\nAnswer: -16702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -17*v**5 + 240*v**4 + 516*v**3 - 64*v**2 = 0.\nAnswer: -2, 0, 2\/17, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -368*i**5*z**2 + 244*i**3*z**3 - 3808760*i**2 - z**3 wrt i?\nAnswer: -22080*i**2*z**2 + 1464*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.67 - -7.1. Let o = s + -0.4. Let f be 0\/2 - (-1 - 0). Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 + (-9)\/(-4). Suppose 2*l - 24 = -u*l + n, -n - 14 = -2*l. Suppose 4 = m + 2. Solve 3*f = x + x - l, -m*x + 3 = -f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 2\/3, -1\/5, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let y be h\/2 - (-84)\/2. Let d = 72 - y. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 24*a - 102 = 0. Let b = a - -2. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. What is the third biggest value in 1\/2, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7028*s - 7031*s = -3*x - 24, 2*x = -4*s + 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -2*x**7\/21 - 2*x**6\/5 + 24*x**5\/5 - 28*x**4\/3 - 29*x + 15. Suppose u(d) = 0. What is d?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 2\/5, 123?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.706248 milliseconds in seconds?\nAnswer: 0.000706248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -74*q + 8. Let t(c) be the first derivative of -c**4\/4 + 7*c**3\/3 + 8*c**2 + 16*c - 7. Let l be t(9). What is the hundreds digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/20 - (-15)\/(-10) - 627\/1140.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46847*m**3 - m**2 + m**2 - 46845*m**3 - 8*m**2 + 8*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/5 - (-84)\/35. Let j = 48 - 29. Solve x - 2*n + 5*n = j, n + 7 = g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0543 + 0.0243. What is the biggest value in -1\/2, u, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/35 - (-19)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, q: 1, i: 3, w: 5}. Give prob of picking 2 a and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70 + 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 - 1331882*n**2.\nAnswer: -2*n**2*(n + 1997823)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2*b**3 + 15 - 6 - 1).\nAnswer: 2*b**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-57) - 2\/6. Suppose f = -31*z + 30*z + 85. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6\/l)\/l)**22*l**(-4\/9)*(l*l**(-13)*l)\/l assuming l is positive.\nAnswer: l**(680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 27 + 242 = -4*c, -225 = -5*y + 2*c. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1432 + 2748?\nAnswer: 407a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f = -228*f + 1557*f - 27857 + 83972 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (204\/28 - -7) + -6. Which is smaller: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 + 97 - 281 = -44*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 11 - 44 - 3. Suppose 81*d + 169 = 24*d - 572. Let q be o(d). What is the highest common divisor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 4. Suppose 4*y - 9 = 3. Suppose -5*n + 9 = -6, -y*r = -n + 12. Does 4 divide x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*t**2 - 11 + 11)*(0 - 4 - 4) + (-2*t + 5*t - t)*(5 - 5 + t) to x*t**2 + v*t + s and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993428483.\nAnswer: 11, 363038953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725559 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2\/2 - w - 68. Calculate q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((1\/(-1))\/((-4)\/(-8)*4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 69.082. What is r rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-35)*10\/6. Let k be -1 + 8 - (11 + (-8 - -5)). What is the fourth biggest value in n, 2\/5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(5) + sqrt(10)\/sqrt(2))*-5)*-5.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.453 and 150?\nAnswer: 149.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -83, -0.132, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141998371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - -421?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3221 - -434034?\nAnswer: 442310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*c + 361980012, -150*c + 145*c + 20 = 0. Round b to the nearest 1000000.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -3, -311?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 485 + 2?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29008 divided by 98?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, m: 4, o: 5}. What is prob of sequence bo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.4? (a) 25 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8568 and 8\/1683.\nAnswer: 94248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.94 + 0.06. Let r = 8 - n. Let j = r + -5. Which is bigger: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 623\/49 + (-4)\/(-14). Let m = c + 2. Let l(o) = 338*o - 3215. Let y be l(10). Calculate the highest common divisor of m and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 8*r - 20. Let i be j(10). Suppose i = -2*t + 3*t + 2. Let a be 1 + ((-144)\/(-40) - t\/5). Put -2, a, -3 in increasing order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65980 = -67*g + 69*g + c, 5*g + 2*c = 164951. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 111587\/908 and 122 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, h: 7}. Give prob of picking 4 e.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/4 (b) -9\/314 (c) -4\/45 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*u - 9043, 5*u = 25*y - 20*y - 15070. List the prime factors of y.\nAnswer: 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-36)\/15 - -1). Let v be ((-8)\/(-54))\/(17\/(-51)). What is the nearest to -1 in -0.2, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -g - 46 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 1. Let z(b) = -15*b + 13. Determine 78*t(u) + 6*z(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/6 - j**2. Let y = 5 - -3. Let k(n) = -2*n + y*n - 8*n. Calculate i(k(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 3 (b) 0.4 (c) 1.127 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7036582 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**3 - 33*g**2 + 83*g - 135. Calculate the remainder when w(7) is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxzxzzxzzzxxx. What is prob of sequence zz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(36\/(-6)))\/(1\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7714929.\nAnswer: 3, 41, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.83 - -12.43. What is the closest to 2 in 29, 0.1, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 6100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-two thirds of a day?\nAnswer: 29760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -69. Suppose -6*x + 5*x = -r. Solve 4*i = 3*s - 21, -4*s + x = -3*i - i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 2*u - 19. Calculate p(-5).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2292635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 2, -2\/19.\nAnswer: -0.7, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.436 + -0.136. Let a = u + -12.317. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 52*w + 194. Let b be p(-4). Solve b*v - 10 = -v + u, 30 = v + 5*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 9*d**2 + 7 + 4*d**2 + 8*d. Determine w(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {q: 3, b: 2, i: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 10100001001?\nAnswer: 10100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -203*t - 10785. Calculate a(-53).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 66\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhf when four letters picked without replacement from rrrhhrrrhrfhfhhhhf?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -10, 2\/19, -3, -0.093 in increasing order.\nAnswer: -10, -3, -0.093, -2\/29, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 565 + 1?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/21)\/(((-4)\/15)\/(-1))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-9)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*l + 788 = 0, 0 = -2*c - 7*l + 3*l + 788. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40050 (base 7) in base 8?\nAnswer: -22647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 1836332.\nAnswer: 53253628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**3 + o**2 + o + 1. Let k = -13 + 8. Let z = 4 + k. Is g(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 4678.657?\nAnswer: 4731.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 281620390 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/8016517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285.03 - -285. Let m = 3.23 - 3.4. Let a = g + m. What is the second biggest value in -4, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2229588 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtk when three letters picked without replacement from {l: 1, y: 1, v: 2, n: 1, t: 1, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5088, -40425, -136396, -323319, -631512?\nAnswer: -1091293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(486)*-1 + sqrt(6) + (sqrt(6) - sqrt(42)\/(sqrt(175) - sqrt(7))))\/((sqrt(90) - (sqrt(90)*-2 - sqrt(90)) - sqrt(90) - sqrt(90))\/sqrt(5)).\nAnswer: 29*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11604 (base 7) in base 11?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1100 = -24*b. Let l(v) = -7*v + 1. Calculate the remainder when b\/(-200) + 194\/8 is divided by l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(1053) - -1*sqrt(1053))*6 + -3 + 3.\nAnswer: 1296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {g: 1, i: 2, o: 1, y: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.6693mm to centimeters.\nAnswer: 85.66693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l + f + 330, -155 = 2*l - 3*f. Is -77 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2717*h - 29898. Determine l(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s - 70. What is the hundreds digit of o(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 1902\/(-12). Let v(r) = -2*r**3 - 17*r**2 + 25*r - 7. Let l be v(-11). Let k = d + l. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.808241l in millilitres?\nAnswer: 7808.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 24881 = 2*q, -4*c + 24863 = 2*q - c. What are the prime factors of q?\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 + 20*o - 23. Suppose -18 = -6*j + 3*j - 3*d, -26 = -j + 4*d. Let z be p(j). Which is smaller: z or -22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**2 + 64*o - 686. Calculate t(11).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003156 is divided by 3755?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646524.5 litres to millilitres.\nAnswer: 646524500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -35. Let q be 16\/96 + 1\/j. What is q rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007092?\nAnswer: 2, 79, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o + 20. Suppose -3*p = p, 4*p = 2*l - 12. Let i be f(l). Which is the closest to -0.3? (a) i (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101135 (base 6) to base 9.\nAnswer: 12035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525715875*l**2*q**3 - 6*l**2*q + 119*l**2 - l*q + 1427*l + 3*q + 1 wrt q.\nAnswer: -3154295250*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.09, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 16*d**2 + 13*d + 10. Let n be c(-15). Let k be (-28)\/(-154) + n\/22. Calculate the remainder when 2 + k - 324\/(-4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.413 rounded to two dps?\nAnswer: 12.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -12 = -3*b - r*k - 0*k, 0 = -b - 4*k + 14. Suppose c + 13 = -3*z, -5*c + b*z + 7 = -z. Let j(l) = 2*l**2 + l + 1. Calculate j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 47*a**2 - 109*a - 279. Let n be q(-45). What is the greatest common factor of n and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1187, -132, 0.5, -8, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l\/(l\/l**(-5))))\/l))\/l)\/(l**(-9)*l*l))**(-5\/14)*((l**1)**13)**20 assuming l is positive.\nAnswer: l**(1815\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-195)\/(-54) - -1 and 16\/(-2) + (2002\/336 - -5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -47.38. Let t = 0.45 - h. Which is the smallest value? (a) -5 (b) t (c) 0 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2502 and 46704?\nAnswer: 140112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11643\/38 - -613\/2. What is the closest to -2\/21 in z, -1\/8, 3\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - v - 7 - 4, -5*v - 11 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - t**2 - 78 - 10*t**3 - 2*t + 14 + 13 - 15*t**4 + 23 to k*t + d*t**3 + j*t**4 + i + s*t**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 - 198586*g + 99292 = 0. Calculate g.\nAnswer: 1\/2, 49646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11.489.\nAnswer: -34.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160503990*w**2 + 80251971*w**2 + 80252045*w**2.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116960 and 1799720?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 205 = -4*f - f, -5*d - 5 = 0. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1488 and 276.\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 + 666*o**3 - 2*o**2 - 339.\nAnswer: 60*o**2 + 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 9*b**2 + 20*b - 20. Let p be g(11). Let r = -40 - p. Let x(w) = 3*w**3 - 3*w**2 + w + 1. Calculate the remainder when 54 is divided by x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19059*m**3 - 15712541 + 15712541 + (0*m**2 - m**2 - m**2)*(2*m - m + m).\nAnswer: -19063*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485628688 to the nearest integer?\nAnswer: 22037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 3. Let o(d) = 5*d + 7. Let c(a) = -7*b(a) + 3*o(a). Let y(m) = -17*m**2. Calculate y(c(g)).\nAnswer: -612*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 18*w - 3 = 19*w, 0 = 2*u - w - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 243, 364, 485, 606?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 12*b - 2. Let j be r(4). Let o(g) = 2*g**2 - 10*g + 6. Let i be o(5). Suppose -i*c + c = -50. What is the highest common divisor of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:16 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23804 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12331 + -1?\nAnswer: -12332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 760390349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2265700 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7.915 - 4\nAnswer: -11.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 530442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 16*i - 47 + 20*i - 1 - 47*i.\nAnswer: 2*i - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 26*h + 6. Let n be p(-13). Let c(b) = -6*b + 14. Let l(o) = -6*o + 13. Let d(k) = n*c(k) - 7*l(k). What is d(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q**4 - 6787316*q**3*y**2 - 11770*q*y**2 - 4*q + y**2 wrt q?\nAnswer: 216*q**2 - 40723896*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209692.469644 - 209690. Let y = g + -2.47. Round y to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 5\/96?\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s, 0 = 4*a + 4*s - 28. Suppose -7*o = a*o - 42. Factor -1\/3*q**o + 0*q + 0 + 1\/3*q**2.\nAnswer: -q**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 62.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 = -4*k + 322, -2*z = 2*k - 152. What is the remainder when 334 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/(((-324)\/15)\/9). What is the fourth biggest value in 8, -1\/8, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9776 = 28984. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14921857*h**3*t**3 - 17*h**3*t**2 + 16*h**2*t - 27*h*t - 31*t**2 wrt t.\nAnswer: -89531142*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 99\/(-66)*(-478)\/3. Suppose 3*w + 15 = 0, 3*w + n = 2*y - y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*h**3\/7 - 1014*h**2\/7 - 2040*h\/7 - 8\/7 = 0 for h.\nAnswer: -1, -2\/509, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.47 less than -0.98?\nAnswer: -61.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*j + 30, 4*r - 30 = -2*j + 12. Let t = j - -10. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20282973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 + 221210*l**4 + 36583080*l**3 = 0. Calculate l.\nAnswer: -44076, -166, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23293572 + -69?\nAnswer: -23293641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69714*b**2 - 5*b + 3065.\nAnswer: -139428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -3. Let q = 0 - -2. Let a = q - j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - -9) + -8 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13968 (base 12) in base 5?\nAnswer: 1333141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t + 0*t**2 - 1\/2*t**3 - 8. Let o(z) be the first derivative of m(z). Calculate o(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 169 + 116*z - 116*z + 26*z**2 + 44*z**2 - 10*z**2 in the form j*z + r + h*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004578 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20274199*n. Let j(s) = 17*s**2. Determine j(h(c)).\nAnswer: 6987733466557217*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 + 2*b**2 + b. Let h be v(-1). Suppose -3*g = -m + 21, 3*g + h + 13 = 2*m. Let w(l) = -41*l + 1. Is w(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13260, -13194, -13128, -13062, -12996, -12930?\nAnswer: -12864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 12. Is 9 a factor of y\/15 - (-102)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 70. Suppose -x*w + 8 = -3*w. Differentiate 18*z**w - 9 + 5 + 23 wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127412 * -0.221.\nAnswer: -28158.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7517357?\nAnswer: 7517357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/12 - 5*n**3\/3 - 12*n**2. Let g be u(-4). Let v be g\/(-5) - (2 - (-312)\/(-220)). Is v bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -4*r**7\/105 + 47*r**5\/30 + 65*r**4\/24 + 22*r**3\/3 + 686*r**2 - 2*r + 3. What is the second derivative of h(j) wrt j?\nAnswer: -96*j**2 + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 456, 377, 298?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -274257.\nAnswer: -274252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525896628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 2, -19?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61343167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -59. Suppose 0 = x - 3*x + 3*h + 69, k = 5*x + 4*h - 184. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1365 - -9?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*m**3 - 48560*m**2 - 36393*m - 6822.\nAnswer: -(m + 758)*(8*m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*a**3 + 34\/9*a - 32\/9*a**2 - 8\/9.\nAnswer: 2*(a - 4)*(a - 1)*(3*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08115 from 0.011465.\nAnswer: -0.069685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*y**3 + 51*y**3 + 33*y**3 + 2*y**2 to x + d*y + z*y**3 + c*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -843\nAnswer: -2444.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953.\nAnswer: 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76 and 0.27?\nAnswer: 20.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30006?\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*x = -43*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.8926l to millilitres.\nAnswer: 17892.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Let n(i) = i + 5. Let l(c) = -5*j(c) + 4*n(c). Let h be l(-4). Let r = 130 - 912\/7. Is h greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, 0.\nAnswer: -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-4))\/(2\/(-8)). Suppose v - 4*v = -r. Suppose t - 2*t + v = 0. Solve x + 4*w = t, 2*x + 1 = -4*w + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572) + (sqrt(572) + sqrt(572)*-3 + sqrt(572))*5)\/(sqrt(11) - 3*sqrt(704)).\nAnswer: 8*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 5*m**2 - 3*m**2)*(-944*m**2 - 812*m**2 + 1926*m**2).\nAnswer: 340*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45583673 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = c - 0. Suppose -14*j + 19*j + 2*o + 762 = 0, j = -o - 153. Let t = j - c. Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17291 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, k: 4, a: 2}. What is prob of picking 2 e and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42617 is divided by 1886.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504091 is divided by 13994?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*t + 239*t = 45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*p**3 - 2*p**3 + p**3 - 3*p**3 + (p**3 - p**3 - p**3)*(2 + 2 - 5) + p**3 + p - p)*(1 - 1 + 2*p**2 - 2).\nAnswer: 4*p**5 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - j - 29 = -5*v, 5*j - 23 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/14)\/(1\/(-7)). Let a = 10 + v. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 109, 222, 335?\n\"Answer: 113*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u + 15. Let h(s) = -15*s - 28. What is 11*d(j) + 6*h(j)?\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75550171*g**3*v - 459*g**2*v + g**2 + 19650*g wrt g.\nAnswer: 453301026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44787732?\nAnswer: 2, 3, 11, 311, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 5*h**3\/6 - 5*h**2 + 3*h. Is n(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 e when four letters picked without replacement from {e: 6, r: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 7*q + 3. Suppose -5*o + 21 + 14 = 0. Suppose -t - o = -2. Is 6 a factor of i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxxxvxx. Give prob of picking 1 v and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-152 - -214)*(47\/2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (-8 - (-10 + -7 + 4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6732 + -6721. Calculate the lowest common multiple of c and 1286.\nAnswer: 14146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/1)\/6)\/((-5)\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86912237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -0. Suppose i - 39 = -2*i + 3*y, w*i = 3*y + 26. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -333702*h**3 - 216221.\nAnswer: -1001106*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 299*o + 5*o**2 + 0*o**2 + 300*o in the form t*o**2 + y*o + z and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let z be p(-12). Let a = z + -19. Put a, 4, 5 in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 2868*a**2 + 2362164*a - 2264623776.\nAnswer: -3*(a - 922)**2*(a + 888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1975917629.5 + -4\nAnswer: -1975917633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-5*i - 8*i - 27*i) - 6*i - 3*i + 10*i + 24.\nAnswer: 81*i + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -24 + -36 - -9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -271*s**7\/7 + 5*s**6\/3 - 19*s**3 - s**2\/2 + 8*s + 1812. What is the third derivative of k(v) wrt v?\nAnswer: -32520*v**3 + 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, u: 1, z: 3}. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o - 0*o. Let u be ((-4)\/8)\/(o\/2). Are u and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317187123 divided by 25377.\nAnswer: 12499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + k - 50 - 215 = 0, k + 5 = 0. Let i = g - 14. Let l be i\/25 - 6\/10. Which is the nearest to 0? (a) 5 (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) -1\/3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k + 2*k**2 - 7*k - 5*k**4 + 1 - 4*k in the form m*k + r*k**3 + l*k**2 + h*k**4 + i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) -1 (c) -1092.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2286050809 to the nearest integer?\nAnswer: 47813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/22)\/((-2)\/(-24)). Suppose -b*s - 156 = -9*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*h + 768, -s - 4*h - 11 + 218 = 0. Which is smaller: 207 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -837.63 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 843 or 1?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -74\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2 - 34*n**2 + 33*n**2 + n + 5. Let m be s(4). Which is the fourth biggest value? (a) 0.4 (b) m (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*r**2 - 653195*r - 172898025?\nAnswer: -30*r - 653195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a - 32. Let m(b) = -6*b - 48. Let y(h) = -3*l(h) + 2*m(h). Let o(k) = 3330*k**2. Determine y(o(r)).\nAnswer: 33266700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/12 - 231*b**3\/2 + 691*b**2 - 14736*b. Factor p(c).\nAnswer: (c - 691)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13 - 2*h + 13. Let w = -3 + 5. Determine f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*n + 40, 3*l = -2*n - n + 36. Let o(c) be the first derivative of -31*c**2\/2 - c - 4. What is the remainder when o(-2) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 4, 0.023.\nAnswer: -2, 0.023, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 + 5*s + 5. Suppose 0 = -4*j + 18 + 2. Let b(c) = 13 - 5 - 12 + 2*c. Let o be b(j). Give d(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81090437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11255 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -472 + 474. What is the first derivative of 32*d**2 + 48 - 54*d**2 - 50*d**c wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/57*6\/(-8))\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 183*f + 3 + f**2 + 186*f to r*f**2 + l + c*f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*x = 913*x - 3, 2*t = -2*x - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. What is the derivative of -1 + n + 2*d - 5 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0997.\nAnswer: -0.02991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 - 45*c**2 + 45*c - 431. Calculate g(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8382 - 8382 - 350*d.\nAnswer: -350*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1125*v**2. Let u(f) = -f**2. Calculate w(u(c)).\nAnswer: -1125*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2658, -2664, -2670, -2676, -2682, -2688?\nAnswer: -2694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.502 + -2.\nAnswer: -31.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 53*i**2 + 275*i - 227. Let l be a(48). Which is smaller: l or 1454?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/39*(83188\/(-8) + -8).\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -5\/3, -122, 3\/2, 0.74, -4\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -17, -27, -39, -53, -69, -87?\n\"Answer: -u**2 - 5*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 4:34 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3\/2, 6, 2, -0.5 in increasing order.\nAnswer: -0.5, 0.2, 3\/2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7173 + 7176. Let t(m) be the first derivative of -18 + 1\/3*m**n - 2*m**2 - m. Determine t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3176 = -60*n - 112*n + 2156 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(66\/(-32) + 2). Solve -4*t = -2*t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 36*m**2 - 35*m - 926. Let n be r(44). What is n rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26855936 is divided by 3356992.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 468461303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/16 and -79\/140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*t - 795*t = -296*t + 22485 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 7:32 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6539490 + 6*p**4 + 3*p**2 - p + 6539490 - 14*p**3 in the form a*p + m*p**3 + u*p**4 + w + g*p**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/24636 + 8213\/24636. Factor -k**2 + 0*k + 2\/3*k**3 + u.\nAnswer: (k - 1)**2*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = 4*t + 5*u, 0 = t + 5*u - 47. Suppose -24*s = -t*s + 81. Let p = s + -19. Let d(b) = b**2 - 9*b + 9. Calculate d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290576*i**2 + 136207?\nAnswer: -581152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 22 + 38. Solve 5*h + w = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91831240 to the power of 1\/2, to the nearest integer?\nAnswer: 9583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1574 or 1?\nAnswer: 9\/1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 14*c + 5*v - 32, -5*v = -5*c - 65 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 8*x - 5. List the prime factors of c(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from pzjzupppjzpzzzjznpp?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppkkpkpkk. What is prob of picking 1 p and 3 k?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -5*d - 110. Let k = 62 - d. Let m(a) = -k + 0 - 8*a**2 - 5*a**3 + 0*a**3 + 9*a + 4*a**3. Give m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b0a (base 15) in base 12?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*t - 4*t + 14, 0 = -5*t - 2*g + 17. Let j be t\/((18\/4)\/3). Suppose 4*c + c - j = -4*d, 2*d = c + 8. Is c greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*q + 6*q. Suppose q*w = 2*t - 4*t - 6, 15 = -5*t. Solve w*s - 2*f - 29 = -5*s, -2*s + 8 = f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-8)\/((2\/6)\/((-33)\/297))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 27. Let o be (-2)\/(-3)*(m + 5 + -6). What is the smallest common multiple of 33 and (-2)\/(-9) - -201*o\/108?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**2 - 61*p**2 + 20*p**2 - 11 + 17*p**2 + 502*p.\nAnswer: 2*p**2 + 502*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = -12*z, 0 = p - 3*z + 256637 - 256631 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-84))\/((-5)\/(-3))*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15032053.711 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = 2*f + 3*f - a, 439 = 4*f - 3*a. Let j = f + -73. Suppose -3*h + j = -0*h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132168896*k**2*o**2 + 3*k*o + 46965014*o**2 wrt k.\nAnswer: -264337792*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 12*v + 12. Let b(a) = 3*a**2 + 18*a + 18. Let r(g) = 5*b(g) - 8*p(g). Let n be r(-3). Solve -2*j - 10 = -u - 3*u, -n*u - 3*j = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -358 (b) 5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3\/6 + 15*v**2 - 55*v\/2 + 40\/3.\nAnswer: -5*(v - 16)*(v - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*z + 94, -z + 188 = 11*g - 7*g. Is 47 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3040 and 53440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -65, 2, 5, 1 in increasing order.\nAnswer: -65, 1, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1361 + 1495.2. What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 1. List the prime factors of o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 48 = -4*b, 0 = -k - 5*b + 8*b + 48. What is the highest common divisor of k and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1955 + -1570. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1178 and -15\/266?\nAnswer: 8246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-37))\/(10\/8*432\/972).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmd when three letters picked without replacement from {d: 4, u: 7, b: 1, m: 1, t: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + sqrt(147) + 2 + (0 + sqrt(147) - sqrt(147)) + -4)*2 + -2 + -4)**2.\nAnswer: -3260 + 1120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2484 and 38916.\nAnswer: 116748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k, z - 7 = -4*k + 2. Suppose -a + 4*w + z = 0, 3*a + 5*w = 4*a - 12. Let q = a - 5. Calculate the remainder when 23 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 1, 3\/5, -5, 21444\/5 in increasing order.\nAnswer: -34, -5, 3\/5, 1, 21444\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-160)\/(-12). Let n = 18 + s. Let h = 7 - n. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k + 30. Let o be 4*8\/(-16) - 12\/(-2). Determine a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*j + 34 = 0, -j = 2*m + 2*j - 41. Let p = m + -15. Let d be ((55\/33)\/5)\/(3\/9). Solve 3*n + d = p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297599377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 - 4*j**3 + 4*j**3)*(0 + 1 + 1) + (j + 0*j + 0*j)*(-j**2 - 2*j**2 - j**2).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 5. Let i(s) = 7*s + 9. Let w(t) = 5*c(t) + 3*i(t). Let v be w(3). Suppose 0 = -v*f + 2 + 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l**3 + 4*l**2 - 7*l - 9. Let b be o(4). Is b bigger than -1061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1498 - -7492\/5. What is the second smallest value in -6\/5, 17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 1534 + 522 + 501 + 520.\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -11) + (0 - 2 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -4\/2469, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1)\/((2\/(-14))\/1). Let u(n) be the third derivative of -n**6\/120 - n**5\/12 + n**4\/4 + n**3\/6 - n**2. Calculate u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936 = -141*s - 428*s - 798 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 84794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 3*r)*(9*r**2 + r**3 - 9*r**2).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2788 = -4*c + 4812. List the prime factors of c.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103001401 - 0?\nAnswer: -103001401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 19 + 1. Suppose 0 = -v*n - 5*l + 1235, -5*l = -3*n - 2*n + 1245. Calculate the remainder when n is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 - 60 = -3*s, 2*k = 3*s + 67. Let o be k\/117 - 8\/(-18). Which is the nearest to 1? (a) o (b) 0.6 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -349*z - 57. What is the smallest common multiple of j(-3) and 15?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/399)\/(6\/27).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19104*d**2 - 1498*d**2 + 2 - 3.\nAnswer: 17606*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 212487?\nAnswer: -7862019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 226*j - 12724. What is k(-92)?\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10*n + 2100 = -130*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5399 - -5403. Solve -4*y + 5*l + 1 = 34, 2*l - u = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 812, 3.\nAnswer: -13, -5, 3, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or 322?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.334 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -139 + 3?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -993282, -1986554, -2979826, -3973098, -4966370?\n\"Answer: -993272*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjjjbbjjjjjjjjjjbb. What is prob of sequence bj?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20239 and 80956.\nAnswer: 80956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282*(1017\/54)\/113.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10.8. Let o = x - 3. Let s = 281 - 280. Which is bigger: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -10\/3*b**3 + 25\/6*b**2 + 5\/12*b**4 + 0*b - 65. Factor w(m).\nAnswer: 5*m*(m - 5)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-2210)\/45. Let j = w + 75. Which is the closest to -1\/2? (a) 10 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3634.229 + 3632. Round k to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbd when three letters picked without replacement from bgdgbdgddggdgdggg?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 638*w - 4468. Give u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 2*z + 1. Let s be q(-1). What is the units digit of (s\/3)\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s. Let x(b) = 1224*b + 108. Determine x(p(o)).\nAnswer: 14688*o + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -9.9.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2185 + 610. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-1))*z)**(1\/8)*(z\/(((z*z\/(z*z**(1\/3)))\/z*z)\/z))**(-7)*(z**10\/z*z*z*z**(-1\/9)*z*z)**(-25\/2) assuming z is positive.\nAnswer: z**(-12245\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2*s - 2, s + 0 = -2*q - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50853 = 1664*p + 509*p - 12164 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9135 - 4556 + t - 3*t**2 - 4559. Calculate q(7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1616 (c) -0.84 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-8)\/(32\/(-12))). Calculate the remainder when 78 is divided by ((0 - -1)\/j)\/(5\/(-80)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from paaaaaaapaaappaaaa?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sscscs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5 - 25, 4*r - 4*s - 4 = 0. Solve -2*h + o = -o, 3*o - r = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 94 - 97 + 264*b - 98 + 272.\nAnswer: -b**2 + 264*b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:10 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(-198)\/44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 273\/2, -6\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -39. What is the second derivative of 1 + i*b**2 - 31*b - 15*b**2 + 17*b**2 wrt b?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 77+20140943321\nAnswer: 20140943398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*f - 219*f + 97*f + 155*f - 2975 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 - 20*f. Let s(o) = o**2 - o. Give -n(q) + 4*s(q).\nAnswer: -q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {j: 3, f: 1, c: 5, r: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445\/7 - 1921\/42. Find the common denominator of -149\/6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1075777 to four decimal places.\nAnswer: 0.1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let g(n) = -n + 7. Let t be g(4). Let x(q) = -1 - q**t + 10 + 0*q**3 - q + 0*q. What is x(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 + 10*i**2 - 63*i - 648 = 0.\nAnswer: -9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9933*v**2. Let a(x) = 236*x**2. What is r(a(c))?\nAnswer: -553228368*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 440*g + 23319. Determine p(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-6*(-56)\/(-1344))\/(45\/(-24))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3735959677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j + 1. Let f = -4 + 6. Let a be c(f). Suppose 2*w - 45 = -5*i, -5*w + a + 1 = -2*i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, p: 1, h: 1, a: 1, g: 1}. Give prob of picking 1 q and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504021 is divided by 125785?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*f**5 - 3*f**2 + 171*f?\nAnswer: -400*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 8) in base 14?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*k**2 - 8\/7*k - 4\/7*k**3 + 2\/7.\nAnswer: -2*(k - 1)**2*(2*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:51 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r**4 + 0 + r**2 - 1\/112*r**8 + 1\/60*r**5 + 0*r**7 + 0*r**6 + 37\/6*r**3 - 49*r. What is the third derivative of z(u) wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7934682 divided by -7.\nAnswer: 1133526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1738 and 5.4?\nAnswer: 5.5738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (6 - -39))\/((-1)\/11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {g: 16, t: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -87122 divided by 6223?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-29))**(-46)\/((w\/w**(1\/18)*w*w)\/w**30) assuming w is positive.\nAnswer: w**(24499\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 490*p**4 + 18570*p**3 + 19540*p**2 - 18565*p - 19050 = 0. Calculate p.\nAnswer: -127, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4911, -4935, -4979, -5049, -5151, -5291, -5475, -5709?\nAnswer: -5999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8079502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165436164 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.52433 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*w + 3779 + 1468 = -9621. Solve -410*q + 422*q = -w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/19*w**2 + 0 + 0*w - 2\/19*w**3 + 2\/19*w**5 - 4\/19*w**4 = 0 for w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/4)\/(18\/(-1896)) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-12)*16\/6. Suppose 24 = 4*r - j*r. Let a = r - -25. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/706462 and 16\/6341.\nAnswer: 12009854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4047877*w**3 - 581*w - 326 wrt w.\nAnswer: -24287262*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 5*x. Let d(i) = 4*i**2 + 13*i + 14. Let v(n) = d(n) - 5*w(n). What is v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 31*z + 75. Calculate v(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/5*45\/2 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 2*w - 1. Let k be p(3). Sort k, -1, 1 in decreasing order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 299 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -h - 2*h - 86, k - 76 = h. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163642149.\nAnswer: 3, 11, 31, 71, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + 83. Let c = v - -415. What is the remainder when c is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.408 and -64.4415?\nAnswer: 26.292132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -33494 less than -32910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615 (base 9) in base 3?\nAnswer: 20200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 262 - 2006. What is the highest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*q + 18, -69*c + 5*q = -68*c + 4 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5)*-2)\/((-12)\/15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 58*p + 33600 = 8*p. Is p < 524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*c + 8, 2*h - c - 6 = -11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8209614, 8209613, 8209612, 8209611, 8209610, 8209609?\n\"Answer: -q + 8209615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*v - 10304 = 39*v - 134*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26635.52t to kilograms.\nAnswer: 26635520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c + 5*j - 2, 0 = 4*c + j - 12. Let b(z) = z**2 - 2*z - 4. Let r be b(3). Let d = c + r. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*b + 121 - 296 = 0, -4*w = 4*b - 148. Calculate the smallest common multiple of 14*154\/98 + -20 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3996 and 63828.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 30 = -5*l, f = -l + 5*f + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201011200212 - -20?\nAnswer: -12201011200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 133. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14179501 to the nearest integer?\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69442444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.3. Let n = -4\/13 + -40\/39. What is the third smallest value in 2\/15, n, m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-16)*j*j*(j*(j\/j**(-15))\/j*j)\/j*j**(-18)\/((j*j**1)\/j))**(-16) assuming j is positive.\nAnswer: j**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 14.4. Let j = 1 + -3. Which is the closest to -2\/7? (a) 0.3 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6741, 0 in ascending order.\nAnswer: -6741, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (5 + -1)) - (194 + -194)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -30. Suppose -3*f = -i*f. Suppose f = -8*b + 10*b - 1262. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 - 13.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2095*k + 299 = -2072*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -90*w - 6. Let o be j(1). Let n = 104 + o. Which is smaller: n or 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8313 and 228315.\nAnswer: 228314.1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (2 - (2 + 1 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9830611 or -68814278\/7?\nAnswer: -68814278\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2469294 - -236.8\nAnswer: 2469530.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b**2 - 385*b + 78. What is x(18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -6. Let a = 11 + s. Suppose 2*l - a = -2*m, -3*l - 15 = -3*m - 0*l. What is the highest common factor of m and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/14)\/(2\/630*5). Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 3*q - 4. Let s be u(-1). Let p(b) = -508*b - 21. Is p(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*f = -82, 5*z - 317 = 13*f - 32*f + 31*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2052 and 114?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322.9649 less than 0.4?\nAnswer: -2322.5649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66517 is divided by 2375?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 + 31 = 0. Suppose f - a = 43. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*r + 14 = 0, -4*d = -d + 3*r + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 65*f**3 - 835*f**2 - 485*f + 3520. Let w(h) = -3*h**3 + 38*h**2 + 22*h - 160. Let c(g) = 2*k(g) + 45*w(g). Factor c(d).\nAnswer: -5*(d - 8)*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2254 - -5?\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3\/(-6)*-6. Suppose a*d - 120 - 55 = 0. Suppose -6*z + d = -z. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let b(m) be the second derivative of 0*m**2 + 0*m**3 + 0 + 1\/6*m**4 - 2*m. Calculate b(i(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154934 and 118?\nAnswer: 154934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 23*c - 5. Let b be p(-4). Let q be (-24)\/b + 10\/(-15). Determine t so that 4\/5*t**4 + 0*t**3 + 2\/5*t**5 + 0 - 4\/5*t**q - 2\/5*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69991801 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/357 and -19\/102?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**2 + 135*y**2 + y**3 - 1 + 33*y**2 in the form f*y**2 + i*y**3 + a*y + k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 + 7*b + 2. Let f(d) = -d. Let z be f(-5). Let v be m(z). Let a(o) = o**2 - 10*o + 3. What is the units digit of a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 87 = -23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -5b50c5?\nAnswer: -5b50ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + j - 2 = -7, 2*j + 3 = 3*v. Suppose 5*a - 1 = c, v = -c + a - 2*a. Let n = 1 - c. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 3*z + 3. Let m be w(-2). Let o be ((-100)\/(-6))\/(2\/3). Is (-10)\/o + 327\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + t = 2*z, 12 = -z - 5*t. Let g(o) = o**3 - 3*o**2 - 5*o + 3. Determine g(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**4 - 50*l**3 - 486*l**2 + 1018*l - 529. Let o(k) = -6*k**4 - 49*k**3 - 478*k**2 + 1017*k - 529. Let b(t) = -5*f(t) + 6*o(t). Factor b(j).\nAnswer: -(j - 1)**2*(j + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66930 + 3a?\nAnswer: -668c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + ((-24)\/(-20))\/3. Suppose 125*q - 131*q + 18 = p. Solve -2*b + 10 = -2*h, q*b - 2*h = 13 - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23330445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3400 and 15193954?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 573 = -16665. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-12) - 1492\/(-16). Suppose -u = 3*d - 112. Let r be (d\/8)\/((-3)\/(-32)). Solve 2*q + 2*h - r = 0, 0 = -3*q - 2*h - 5 + 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209*c**2 + 14*c + 59 wrt c?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsrrqhkz. What is prob of sequence rs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppttpppptpppptptp. What is prob of picking 3 p and 1 t?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 15 - 1. Let q be (-1)\/(-3) + 2\/(-24). Factor -q*f + 0 + 0*f**p + 1\/4*f**3.\nAnswer: f*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(98) - (sqrt(98) + 3))**2 + -2 - sqrt(98)) + 3)*1)*5.\nAnswer: -35*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1 (c) -0.5 (d) 2\/7 (e) -131 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*1125\/(-2025)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 183, 70, -105?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -676 - -678. Let b = 8 - 3. Solve 2*y + b = -2*k + 1, -2*k = -l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15840*o + 680 + 53 - 31671*o + 15834*o as i + u*o and give i.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211a (base 14) to base 8.\nAnswer: -13114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036174 rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 + 1\/27*k**4 - 1\/27*k**3 - 2\/9*k**2 + 1\/90*k**5 + 14*k. Let x(n) = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**5 - 45421*r**3 - 432799*r**2 wrt r?\nAnswer: 240*r**2 - 272526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:46 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-3))*h*h**3)\/(h\/h**(1\/6)*h**9\/h))\/((h**(-1\/5))**5\/(h**(-1\/4)*h\/(h\/h**(2\/9)))) assuming h is positive.\nAnswer: h**(-247\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 - t + 1. Let s(z) = 7*z**3 - 10*z**2 + 6*z - 3. Let f(y) = -6*h(y) - s(y). Let b(a) = a**2 + 5*a + 3. Let o be b(-5). Determine f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -84. What is the closest to 2\/5 in w, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let r(d) = -101959*d - 1. Calculate r(p(k)).\nAnswer: -101959*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y. Let o(s) = 6*s + 6*s + 9*s**2 - 4*s**2 + 1 - 7*s**2. Let z(m) = 4*o(m) - 9*t(m). Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmmemm. Give prob of sequence emme.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607008 by 6.\nAnswer: -101168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/(100\/(-200)). Solve -7 = -5*y - 0*k - k, -k = y + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/p)\/p)**(-7\/9)*(p**(2\/3)\/p)**27)\/((p**2)**48)**(-8) assuming p is positive.\nAnswer: p**(2284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1693 - -174377\/103. Let m = -103 + 103. Let n be (-1)\/(2 + -1) + m. Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*f = -417*f - 360 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from gihwgggwhwgwgwwgwge?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49359 divided by -8.\nAnswer: 49359\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -42, 4, 44740?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*b**2 - 4*b**4 - 10*b**3 - 98*b**2 - 91*b**2 - b**4 + b**3 wrt b?\nAnswer: -120*b - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -6\/7*w - 5\/7*w**2 + 1\/14*w**4 - 44 - 2\/21*w**3. Factor v(l).\nAnswer: 2*(l - 3)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**2 + 29*d. Let z(w) = w**2 + w + 1. Let j(l) = -q(l) - 5*z(l). Let i be j(10). What is the tens digit of (6\/(-9))\/((-5830)\/i + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122a4b1 (base 12) to base 3.\nAnswer: -20200000020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 15*q - 228. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/6 + (-10)\/6. Let w be 12\/(-18) - 2\/x. Solve -2 = -r - w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 86. Suppose -h*v = -a + 1 - 9, -3*a - 12 = 0. Suppose 187 + 133 = v*s. What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88984586 and -0.4.\nAnswer: -35593834.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.5 + 15.6. Which is greater: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, -19, 44763 in descending order.\nAnswer: 44763, 3, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/11 + 1967762*a**2\/11 + 5903272*a\/11 + 3935512\/11 = 0.\nAnswer: -983878, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c + 22*c**2 - c**3 - 51*c - 60*c.\nAnswer: -c**3 + 22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -118.75 and 0.7351190421?\nAnswer: 119.4851190421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 times 5?\nAnswer: -2615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.463 - -100.4629950829. Round h to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:12 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 130.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -19722816 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 880804 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/12 - l**3\/6 - l**2\/2 + 2*l. Let q be g(0). Is q > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -63677332*h**2. Let g(n) = -n. Determine g(u(x)).\nAnswer: 63677332*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130546.07 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 6 - -18 - (6 + -43).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)\/(15 - 16). Solve u*j**5 + 20*j**3 + 10*j**2 + 10 + 5*j**5 - 20*j**4 - 9*j - 16*j = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2044008 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/4)\/3)\/((-266)\/76)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 41 in decreasing order.\nAnswer: 41, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 1496341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w - 216. Let x be q(10). Let c be -2*(3 + x\/40). Let m = 5 + -2. What is the biggest value in -11, c, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76228, -609139, -2055622, -4872463, -9516448, -16444363, -26112994?\nAnswer: -38979127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 108\/(-81)*(-324)\/(-16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) -2.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004559379 rounded to seven dps?\nAnswer: 0.0004559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66366 by 2.\nAnswer: 33183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5622 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78963427 to the nearest integer?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 11*l**6\/27 + 136*l**5\/45 + 5*l**4\/2 - 208*l**3\/27 - 20*l**2\/9 + 3888. Suppose s(m) = 0. What is m?\nAnswer: -5, -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -5711, 1, 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143305 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, r: 2, v: 1, n: 1}. What is prob of sequence uvur?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122491593 is divided by 4268?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 688*y - 683*y - 31225. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.23673.\nAnswer: -0.071019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3028 is divided by 503?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 335 + -333. Suppose -3 - 36 = -3*j. Suppose -2*w + j = b, -3*b = w + 2*w - 27. Solve -3*z = 15, 2*z + 7 = b*o + x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77240519 is divided by 10379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 + 7*l**3 - 59 - 56 + 3*l to q*l**2 + x*l**3 + w + k*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4420168, 8840335, 13260502, 17680669, 22100836?\n\"Answer: 4420167*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4064 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 6:52 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9402 divided by 4701\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46944503 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1*1\/2. Find the common denominator of (x\/40)\/((-1)\/186) and 1\/(-7) - 2052\/(-840).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -65. Suppose 3*g + 3*z = 69, -i = -g - 3*z - 6. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(8)*1 - sqrt(2))**2 - (sqrt(6)\/sqrt(3) + sqrt(2) + 0)).\nAnswer: -2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-27 - -31 - (2 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 + -5 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrbjbbhwrblrrrbbj. Give prob of sequence wrhb.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 - (10 + -28 + 1 + 49)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + 2 + 4 - 4 + (0 - 1 - 1)*(0 - 1 + 2) + 0 + 1 + 0 + 3 + 0 - 1 + 0 + 2 - 4 - 4 + 3 + 3 + (-1 + 0 - 1)*(-4 + 1 + 1))*(-4*x + 4*x + 2*x**2).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -15, 4\/3, 2, 9\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2102948 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yzyyyzyyy.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -95.25. Let v = p - -2.25. Let g = -4 - -4.5. Which is the closest to 0.3? (a) 5 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 12*d**2 - 7*d + 1. Let u(b) = -b**2 + b + 1. Let a(h) = -c(h) + 4*u(h). What are the prime factors of a(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20. Suppose 5*s - 5*r - 135 = y, -5*s + 2*r + r = -143. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -154*l - l**2 + 154*l. Let c(j) be the first derivative of 6*j**2 + 2. Determine c(s(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6 + 156\/(-9). Let d be (h\/(-2))\/((-2)\/(-5)). List the prime factors of 50\/18 - d\/(-90).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) -1.8 (c) -5 (d) -38.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -72, -69, -64, -57, -48?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1095250 by -650.\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(175)*1*3 - 2*(-1 + sqrt(175)))**2 + -3).\nAnswer: -880 - 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279\/952 - 1\/136. Which is the third biggest value? (a) -2\/9 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.3 - 45. Which is smaller: o or 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1. Let r(k) = -2*k**2 + 2*k + k**3 - 3*k**2 - 2*k**3 - 7*k. Give r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/12800 and 137\/51300?\nAnswer: 6566400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 220521586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajkjajkjjja. Give prob of picking 2 j.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 27, 48, 71, 96, 123, 152?\n\"Answer: d**2 + 16*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t - 55. Let m be (5\/2)\/((7\/(-2))\/(-7)). Let l be m - 2*2\/4. Solve -4*z - g = -l, -4*z + 2*g = -0*z - t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 - 5 = 0. Let n be (-7)\/6 - c\/6. Are -1 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at least as big as -685641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 725708513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 0*i**3 - i**3 + 13*i - 2 - 1 + 7*i**2. Is 5 a factor of a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1315368*k**2 + 1380879*k?\nAnswer: 2630736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:52 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/24)\/(70\/(-32760)*-39).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32996491 is divided by 2538191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 67. Let c be (3 + (-5)\/(5\/3))\/q. Suppose c = 4*n - 1299 + 71. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/5 (b) 0.58 (c) -2\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:57 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*a - 7*a + 2*a)*(-a**2 + a - a)*(4 + a**2 + 2*a**2 - 5*a**2).\nAnswer: 34*a**5 - 68*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*o + 3708 = 0, 5*s + 990*o - 995*o = 70 - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 264. Let h(c) = 98*c + 8. Is h(u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 19. Suppose -a*x = 4*t - 25 - 61, 4*t = 3*x + 91. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let y = 0.09 - -0.01. Let q = -0.4 - y. Which is the second biggest value? (a) q (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7*v - 33. Let d(a) = -6901*a + 214478. What is the remainder when d(31) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15572834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066839 + 4?\nAnswer: -2066835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48601027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/9, 0.04034?\nAnswer: 0.04034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - (79 - -37)) + 38?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/13, 0.5, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3*((-2)\/(-3))\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -340739666?\nAnswer: 340739664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 66 = -0*v. What is the least common multiple of 6 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5000335*b**3*q**2 - 15*b**2*q**2 - 6*b**2 + 2399*b*q**2 wrt b.\nAnswer: -30002010*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 128. Suppose 3*x - j = -5*h, -75 = -3*h - x + 4*x. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 - 2*j. Let s be (-4)\/10*1 - 1384\/40. Let c(y) = 85*y**3 - 35*y. Give s*a(k) + 2*c(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1) + (-4225)\/(-475) - (2340\/152 - -4).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 20 = 14*n - 4*f, 12 = 3*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(1\/4)*d))*d\/d**(-2\/9)*(d\/(d*d*d*d**(-1\/5)))\/((d\/d**(-9))\/d))\/(((d\/(d\/((d**(-1\/4)\/d)\/d))*d)\/d)**4*(d\/d**(-2\/7))**24) assuming d is positive.\nAnswer: d**(-38033\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14654 and 115974?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 41. Let h = -47 - u. Let a be 1200005\/h + (-1)\/3. What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -3*x, -4*x = 3*s - 5*s - 20. What is the remainder when -3 + 3 + 26 - (s - -5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 151428.\nAnswer: 757140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 5*z - 3. Let m(r) be the first derivative of 2*r**3\/3 + 5*r**2 + 21*r + 34. Calculate the remainder when o(-5) is divided by m(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 9. Let n be q(0). Let k be -58 + (12\/(-9))\/((-3)\/n). Is -54 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.828 + 0.272. Let g = -8.5 + -2.5. Let q = i + g. Which is the third biggest value? (a) -0.2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:13 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 55\/45 + (-6)\/27. Let s be (20\/16)\/((-2)\/8). Sort s, 2, a in increasing order.\nAnswer: s, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36578*i**5 + 4260*i**2 + 16*i wrt i?\nAnswer: 2194680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 w when three letters picked without replacement from ndddgdanaddddlddldwd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88471 is divided by 269?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r. Let n be j(-3). Suppose -5*g - 24 = -4*z, 3*z - z - n = 3*g. Calculate the least common multiple of z and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*b - 0*b + 4, 0 = -4*j + 5*b + 7. Let c = 151898 + -303787\/2. Factor 3*s**j + 3\/4*s**4 + 3\/4 + c*s**2 + 3*s.\nAnswer: 3*(s + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*r = 0, 2*q - r + 7 = 6*q. Let b be (-3)\/q*(-14)\/7. Suppose b*m = m + 24. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 1.2. What is the nearest to 0.3 in x, -2\/7, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:25 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15898 - 15898.14774. Round m to 3 dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -92, -201, -354, -551, -792, -1077?\n\"Answer: -22*x**2 + x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 145128 (base 10) to base 11\nAnswer: 9a045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 20*m + 3. Let u be d(9). Solve -4*g = 4*f + g + 33, 2*f - u = 5*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1984\/3 + 661. What is the nearest to 5 in 0.4, o, 0.046?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*b + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.493 rounded to 1 decimal place?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d - 2. Let z(o) = -67*o. Calculate j(z(n)).\nAnswer: 1139*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(10)*-1))\/((sqrt(3) - sqrt(12))*-4) + 2.\nAnswer: -sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 181, 273, 363, 451?\n\"Answer: -m**2 + 97*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u**2 - 3*u - 59. Determine f(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 - 1110*c = 0. What is c?\nAnswer: -222, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051477 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 3*j**7\/1120 - 5*j**6\/96 + j**5\/20 + 8*j**3 + 191. Let n(d) be the third derivative of b(d). Factor n(i).\nAnswer: 3*i*(i - 8)*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 22, -231, 4, 2 in descending order.\nAnswer: 22, 4, 2, -17, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 4. Let b be j(-7). Let h be -2*4\/84 + (-9088)\/(-168). What is the highest common divisor of b and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2) + (-20 + -640)\/(-55).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229 - 223. Solve 5*c = 2*c - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6. Let s = k - -5.1. Let t = s - 2.1. What is the second smallest value in 1\/8, -3\/7, t?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-504)\/1722)*(-2)\/2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4784*a**2*o**2*p + a**2*o*p**2 - 82*a*o**2*p - 2*a*p**2 + 2*o**2*p**2 - o*p - 2 wrt a.\nAnswer: 9568*o**2*p + 2*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Let y = 4 - 1. Suppose 4*o = 20, 0 = -y*j + 2*o - o - 5. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let n(m) = m + 65. Let g be n(k). Suppose 68*d - 355 - 301 = 228. Calculate the greatest common factor of d and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 46 + 41 - 155. Solve -x - 4 = -2*c, -5*x - d = 4*c - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, x: 1, u: 4}. Give prob of sequence sxs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1524961293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -32*i**2 + 22*i. Let b(a) = 6*a**2 - 4*a. Let t(m) = 11*b(m) + 2*x(m). Let k(j) = 44*j**2. Determine t(k(u)).\nAnswer: 3872*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + p**3 + 3 - 3 + (p - 3*p + 4*p)*(-6*p**2 + 33 - 33) to y*p**3 + h + a*p**2 + g*p and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 276, 426, 576, 726?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -96. Let c(u) = -u**2 - 531*u + 33532. What is the remainder when k is divided by c(57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220\/241 >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 14. Let m be h(5). Suppose n = 2*a - 6, -2*a + 0*n + m*n + 6 = 0. Suppose 6*p = 2*p. Solve a*f = -9 - p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 16. Suppose -2*f = -x*f + 54. Is 27 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 - 4*p - 11*p**2 + 2*p in the form d*p**2 + x + n*p and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3158.3 + 3158. Let f = -0.1 - 0.1. What is the smallest value in 6, c, f, 4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593461541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36 and (-2)\/23 - (-19866)\/245916?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101111 (base 2) to base 9\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3477 - -0.0477. What is the smallest value in -1, 4, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701970017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5)*g*g**(2\/15))\/(g*g*g*g*g**(1\/2)\/g)**(-2\/65) assuming g is positive.\nAnswer: g**(86\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 49*k + 526 + 154 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.4, 2, -39\/11.\nAnswer: -39\/11, -0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3. Let n be s(3). Suppose 0*i - 600 = -n*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*p**2*r**3 + 9*p**2*r**2 - 2470*p*r**3 - 10*p*r**2 + p - 2*r**3 + 186 wrt r?\nAnswer: -336*p**2 - 14820*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*v + 8897*v = -106110 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -46, -37, -34, -43, -70, -121?\n\"Answer: -p**3 + 6*p**2 - 2*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3042555 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0378.\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.213 in -2, -0.037, 4, -901, -3\/4?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14192*l = 3*v - 14195*l - 21, l - 8 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 12*v**2 + 3*v - 10. Let p be (17*(3 - 2))\/(-1). Let t be l(p). Suppose -t = -4*b - 20. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41.31 and -5360631.\nAnswer: -5360672.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -124. Let q = 20 - v. Let p = 45 + q. Solve f + 15 = -p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 19*o - 1 - 2 + 0 - 5*o. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -147*o**2 - 5*o - 1. Give f(-1).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 times 0.1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1659 to 2 decimal places.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 11*d + 15. Suppose 0 = -c + 3*l + 22, 0 = 3*c + 2*l - 5*l - 42. Let z be g(c). Solve m = 5*w - 17, -z*w = -m + 5*m - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -3, -32, -97, -210, -383?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - ((-4)\/(-10) - 0\/(-5)))*-5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/16)\/((-77)\/(-770)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -60. Let l(j) = j + 19. What is the remainder when l(0) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/171)\/(10\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**4\/12 - l**3\/6 + 11*l**2\/2 + 5*l. Suppose f = -0*f + 5. Let j = 5 - f. What is d(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22142447 is divided by 357136.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 8100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 1 - 2*g**4 - 2*g**2 - 4 + 4*g**4 as d*g**4 + s + h*g**2 + w*g + c*g**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/25958 and -53\/18.\nAnswer: 233622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485229\/7 or -69318?\nAnswer: -69318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*h + 1319*h - 818*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/5*r**5 + 0*r**3 - 27\/8*r**4 - 3 + 5*r**2 + 0*r. What is the second derivative of y(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y + 3608 - 3608.\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Let n = h + 38. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(133) + sqrt(133)))\/(((sqrt(700) - (sqrt(700) - 2*sqrt(700) - sqrt(700) - sqrt(700) - sqrt(700))) + sqrt(700) - sqrt(7)) + sqrt(7)) + -3.\nAnswer: -3 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427 is divided by 342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 8:35 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116375.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572 - 533 = -101*h + 107 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -134. Suppose -4*q - 3*x = -4*x - 411, -q + 3*x = -h. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8522 + 3.82. What is t rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**7\/1680 - 4*o**3\/3 + 6. Let s(k) be the third derivative of x(k). Determine l, given that s(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 137 + 2 + (0 - 7) + 5 + -48?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**3 + 30*d**2 + 28*d + 8.\nAnswer: (d + 2)*(3*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 191.026 - 191. Let n = r - -0.974. Let s be (-11)\/(-12) + 2\/6. Which is the closest to s? (a) -1\/3 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -81*m + 78*m. Suppose 20*i - m = 13*i. Calculate the greatest common factor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395 + -855. Let v = j + 434. What is the smallest value in 0, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421328 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpj when three letters picked without replacement from leepexxllelepepje.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l - 318. Calculate f(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let n = 123307 + -123305. Solve 9\/4 - 1\/4*j**4 + 3\/2*j - 3\/2*j**3 - l*j**n = 0 for j.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/40*24\/(-207)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 7) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, -0.3 in decreasing order.\nAnswer: 1\/5, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*m - 79 - 12, 4*o - 127 = -5*m. Suppose 36*j - o*j + 110 = 0. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 105294.\nAnswer: 315882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541106819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and -3*3\/9 - -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 2, o: 4, c: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319064419 and 7093?\nAnswer: 7093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 70 = 27*k. Suppose -p = k, 3*d + 10*p = 7*p + 9. Solve -2*g - d = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0)\/j)\/j**(2\/13)*(j**(1\/2))**(-11))**43 assuming j is positive.\nAnswer: j**(-6321\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 2*p**3 + 0*p**3 + (-3*p + p + p)*(-4*p**2 - p**2 + 2*p**2) + 15*p**2 - 3*p - p**3 + 10 + 4*p - 14*p**2 as k + z*p**3 + s*p**2 + h*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.65551 meters in micrometers?\nAnswer: 22655510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus 1216.33?\nAnswer: 1219.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (525\/6)\/(-5)*-2. Let y = -34 + x. Which is the nearest to y? (a) 2 (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:56 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*h - 1736 = 32*h + 91*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/44 + (-91)\/(-2). Suppose -2*i = 3*i - a. What is the lowest common multiple of 6 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 34*y + 2764. Let x be n(-92). Round x to the nearest 100.\nAnswer: -34200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804282359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - -2 - (79 - (-126 + 230))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*u**6*z - u**3*z**3 + 2*u**2*z**2 + 23*z**3 - 3 wrt u.\nAnswer: 2040*u**3*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r + 4*h, 0 = -2*r - 5*h - 11 - 1. Which is smaller: r or 1\/12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*i + 5*i + 37 = 0, 4*j + 50*i + 1027 = 27*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*p + 24, -5*n - 2*p = -18 + 39. Let s = 408 - 409. Put 3, 1, n, s in descending order.\nAnswer: 3, 1, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 + 2 - c**3 + (-2*c**2 + c**3 + 2*c**2)*(-11 + 43 + 3).\nAnswer: 34*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10386 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 194*a + 197*a - 15*a - 5264. Solve l - a = -4*d, -3*l + 2*d - 16 = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*o + 0 + 7\/5*o**2 - o**3 + 1\/5*o**4.\nAnswer: o*(o - 3)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let i(m) = -64*m + 7. Calculate j(i(p)).\nAnswer: -8192*p**2 + 1792*p - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -7 (c) 45.9 (d) 14\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10307\/3 + -3434. Is 32 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.4*-0.3.\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by 1?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g - l + 114, -4*l = 2*g - 86. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 8*s + 1. Let c be l(-8). Is (-2 + c)\/(15\/(-435)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 71568?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22975 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 - 4*h + 76. Determine k(0).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -179, -137, -95, -53?\n\"Answer: 42*t - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 = 3. Let j = 1 - n. Let d(z) = -z**2 + 2*z**2 + 4*z**j. Let i(u) = -u**2. Calculate d(i(h)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2726 and 6.\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m + 441 = -329, -4*z = 4*m + 756. Let t = 104 + z. Let w = t - -81. Let q(u) = -u**3 - 6*u**2 + u - 2. Calculate q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2062*p + 4. Let i be u(-8). Round i to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -16 - 46*w**3 + 1351*w + 21*w**2 - 677*w + 40*w**3 - 680*w. Let d(n) = -n**3 + 4*n**2 - n - 3. Determine -11*d(t) + 2*u(t).\nAnswer: -t**3 - 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16094763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32500236 - -4?\nAnswer: 32500242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 12 = 5*k. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {m: 1, j: 5, u: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/504 + q**6\/18 - 2*q**5\/3 + 13*q**4\/24 + 10*q**2. Let x(l) be the second derivative of m(l). Factor x(h).\nAnswer: -5*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8 = -4*c, -4*x = 19*c - 20*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10884168 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 2*b + 4. What is the units digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -45. Suppose -44 = 3*y - 140. Suppose -3*j = -p - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4927217407?\nAnswer: 7, 31, 22706071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1365476 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-24)*2380\/(-357)*8\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66611147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3325 and -9 + (1229088\/17100)\/8.\nAnswer: 9975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*z**2 - 67835*z - 9425 = 0.\nAnswer: -5\/36, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 + 72*d**3 + 57*d**2 - 1458*d + 2160 = 0.\nAnswer: -5, 2, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -13. Let m(u) = -3 - u**2 - t - u + 13. Suppose -2*n + 16 = -4*k, 4*n - 3 + 4 = -3*k. Calculate m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1487562, -2974998, -4462434?\n\"Answer: -1487436*r - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 2}. What is prob of picking 1 p and 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/42 - (-2)\/(-6). Let x be -8*(-4)\/192*(-273)\/(-26). Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15\/4, 2.3.\nAnswer: 0, 2.3, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374471, 1497912, 3370325, 5991704, 9362043, 13481336, 18349577?\nAnswer: 23966760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkyky.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -10, -8, -2, 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 6007, -0.027, -3\/10 in increasing order.\nAnswer: -3\/10, -0.027, 0, 3, 6007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4139 divided by -4139\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*x = 1, -5*x = -3*n - 17 + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34409602, -34409600, -34409588, -34409560, -34409510?\nAnswer: -34409432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(0*j + 2*j**2 + 0*j) - 5*j - j**2 + 5*j + (2*j - 3*j + 0*j)*(-4 + 4 + 2*j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, 21, -2, 51 in descending order.\nAnswer: 51, 21, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1089542, 2179065, 3268588?\nAnswer: 4358111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.04 + -0.04. Let c = b - 4. Put c, 4\/7, 5 in increasing order.\nAnswer: 4\/7, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -6 - (15 + -14)) + -66.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -3, -13, -37, -81, -151, -253?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 33 = 2*g + 2*a, 5*a + 25 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**5 + a**4 + 37*a**2 - 1?\nAnswer: 180*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 3. Suppose 0 = -4*a - 0*a - 44. Let q be c(a). Determine u, given that q*u + 6 - 3 + 7*u**2 + 1 - 11*u**2 - 14*u**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6.6. Let b = c + -0.6. Let j = -64\/9 + 302\/45. Sort b, j, 1\/3 in descending order.\nAnswer: 1\/3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Suppose 6 = p*u + 1. Is 2 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 67. Suppose -2*j + b = -885. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5490896656276027\/51884 + -105830249349. Let i = -5\/22236 + q. Let w = i - -107\/6. Which is the nearest to -2\/3? (a) w (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 859710 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 165 = 177 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13404 = 34*p - 30*p, -p = -3*f - 3338. Is 67 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/9)*n)\/n*(n**(-2)\/n*n*n)\/n*(n*n**(3\/5)*n)\/n**(1\/8) assuming n is positive.\nAnswer: n**(491\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*-1*-4)*6 + 5.\nAnswer: 3*sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 125. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/125611338 or 0?\nAnswer: 1\/125611338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 182*i + 3390. Give m(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13851)\/486 + (-17423)\/(-608).\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/2 + 265*i**4\/2 + i**3\/2 - 265*i**2\/2 = 0.\nAnswer: -1, 0, 1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*k**5 - 25*k**5 - 632*k**2 - 7*k**5 + 79*k**3 wrt k.\nAnswer: 120*k**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1. Let l(n) = -2*n - 13. Give -l(t) - 4*r(t).\nAnswer: 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 4. Let w be g(0). Let q be w\/18 - 14858974\/(-117). What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2\/22 - (-4914)\/(-693)). Let a(q) = q**2 + 3*q - 3. Let x be a(-4). What is the biggest value in -5, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -984 - 1004 - 3*q**2 - q**2 + 2102.\nAnswer: -4*q**2 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359568633, 359568635, 359568637, 359568639, 359568641, 359568643?\nAnswer: 359568645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 25702.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312452, -624904, -937356, -1249808, -1562260?\nAnswer: -1874712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78661.190524098 plus 5?\nAnswer: 78666.190524098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 - 1 = 0, 0 = i + 2*l - 8. Which is smaller: i or 4\/53?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.66 + -0.26. Let s = 505 - 507.29. Let p = s + o. What is p rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/11 - 269577*r - 8896032\/11 = 0. Calculate r.\nAnswer: -2965344, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let a(n) = -n - 115. Let f(g) = -3. Let d(o) = -a(o) + 5*f(o). Calculate d(y(b)).\nAnswer: -3*b + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3876 by -38.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*(-18)\/4. Suppose -10*u - j = -12*u. Solve -u*a + 3*s = 0, -3*s = -0*a - 2*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, a: 1, f: 1, y: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 48. Let s be p(-26). What is the closest to 0 in s, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37608 - -2971034\/79. Let d = -3 - -3.4. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4980141 and 32\/18260517.\nAnswer: 54781551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d - 9. Determine w(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-2\/9)*h))**(-31)*h\/(h*h\/(h*(h*h*h*(h*(h**(2\/47)*h)\/h)\/h)\/h*h))*h**(2\/9) assuming h is positive.\nAnswer: h**(3860\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -126. What is the third biggest value in -3\/8, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22649672741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1\/1014*-4. Let a = v - 197\/507. Is a less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591515728 to the power of 1\/3, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + t + 3*t - 26 = 0, -5*t + 28 = 4*s. Suppose -3*l + s + 10 = 0. Calculate the lowest common multiple of 11 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6781925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 70. Let w(f) = f + 37. Let q be w(d). Is 16\/q - (-2)\/(4\/27) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/(-120) + 414\/(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309803.\nAnswer: 13, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**3 + 27*w - 5*w**3 - 33*w**2 - 78*w**2 + 21*w - 49*w to a*w**2 + s*w + m*w**3 + y and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26996 (base 10) to base 12\nAnswer: 13758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -11*a - 138. Let t be (28\/a)\/(1\/(-3)). Let j(u) = 1 - 3*u + 6*u - 2*u. Calculate j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35551 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k**3 - 68*k + 64*k - k**2. Let y be g(2). Let z be 0*1\/(-2) - -5. Solve y*w = 4*w + 8, z*n - 2 = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 36 + 14 = -4. Let n(t) be the second derivative of 0*t**w + 11\/15*t**6 - 24*t + 0*t**4 + 0 + 0*t**5 - 3*t**2. Differentiate n(r) wrt r.\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6377\/8 - -799. Let t = d - 11\/8. Let c be -1 + (-1)\/((-2)\/4). Sort -1, c, t in decreasing order.\nAnswer: c, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 take away 273.484?\nAnswer: -275.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdwd when four letters picked without replacement from {n: 1, w: 2, d: 1, p: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by -1?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.1 - 25.07. What is the second smallest value in 3, h, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 + 206. Let r = u - 11. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -2. Let s = 0.047 + 4.553. Let g = s - 5. Which is the nearest to 0.1? (a) g (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*x - 4 = -3*p, -5*x - 9 = -4*p. Let i be 3 + (4 - 3) - 3. Sort p, i, 4 in descending order.\nAnswer: 4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7750 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 14*i**2 - 15*i**2 + 0*i in the form r*i + o + a*i**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/4 + 2*j**3\/3 + 3*j**2\/2 - j + 4. What are the prime factors of c(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 4*q - 6. Suppose 4*p = -4*x - 36 + 8, 13 = -3*x + 5*p. Let m be c(x). Let n be (2\/8)\/(m\/48). Put -0.07, -1, n in increasing order.\nAnswer: -1, n, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/200 and (-375)\/(-72) + 0 - (-25 + 24).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10822 is divided by 564?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-6)\/18))\/((-1740)\/(-812)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1517\/2 + 759. Let j = -2.1 - -2. What is the closest to 1 in -0.3, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4232 divided by 6.\nAnswer: 2116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6, y - 6 = -5*q + 142. Solve -5*l - q*l = 34 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 - c. What is the remainder when ((-75)\/(-10) - 7)\/(1\/18) is divided by m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131)\/(-8) - (81 + -64).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 657 - 675 = 393. What is the least common multiple of 828 and t?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -13. Let l(q) be the second derivative of -2*q + 0 + 13\/2*q**2 + 7\/2*q**3. Let j(m) = 5*m + 3. Calculate n*l(i) + 9*j(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f + 5*d + 17, 0 = 2*f - d - 15. Let b = f + -5. Suppose b*v = -5*l + 8*l - 14, -6 = -2*l - 2*v. Solve l*p = -p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5 + (1 - 9\/54) + 22910\/300.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*m = 6, 0 = 5*q + 4*m - 128 + 86. Solve 17 = -q*b - 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b6 (base 12) in base 14?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(0 + 1)*0. Suppose -f + 0*f + 2 = b. Suppose -987 = -f*i - i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 - (6 + -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191942910, -191942908, -191942906, -191942904?\n\"Answer: 2*i - 191942912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.42429 to one dp.\nAnswer: -254.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 17 - 5, 5*j - 17 = 2*k. Solve 0*s - 6 = 4*s - j*w, -s - 12 = 4*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 17 = 3*b - 2, 4*i = -5*b - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6258996904 - 0.6259. Round u to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 5.8?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 114 + 10*v - 182 - 20*v + 2*v**3.\nAnswer: 2*v**3 + v - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2842, 5674, 8506, 11338?\nAnswer: 14170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7492*n + 23*n**3 - 23 - 7496*n + 14988*n + 23.\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268404 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*-1*sqrt(567) + (2*sqrt(567) + sqrt(567) + sqrt(567))**2*6).\nAnswer: -108864 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396118 or 396233?\nAnswer: 396118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*g = -59*g - 920 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.952 + 0.048. Sort z, 4, 2, 1.\nAnswer: 1, 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44503 or 44472?\nAnswer: 44503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32723483.\nAnswer: 13, 167, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38659085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17249751 is divided by 12295.\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-26 + 28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14525551*f**4 - 69733479*f**2 wrt f.\nAnswer: 348613224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52370 + -1.3.\nAnswer: 52368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3733, -4197, -4647, -5077, -5481, -5853, -6187?\n\"Answer: d**3 + d**2 - 474*d - 3261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 6\/((-54)\/(-29)). Let t = 43\/18 - u. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 134 - 110. Let x be (-4)\/f - 24\/18. Solve -d - 2 + 4 = x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 27. Solve -o + g = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1779 in 0.4, -227, 5?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530.878 litres in millilitres?\nAnswer: 6530878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/57226560 and -57\/22.\nAnswer: 629492160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -5, -23\/2008?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 + 4*x + 1. Let m be y(-3). Let j = 0 - m. Suppose j*w - w = -190000. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 + 0*q**2 + q**2)*(2*q + 2*q - 5*q) - 35*q**3 + 22*q**3 + 17*q**3 to the form i + a*q**2 + x*q + g*q**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1029 and -988 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/(28\/28).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10234400 - -4?\nAnswer: -10234341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 17 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -742890 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 5. Suppose 2*j + 12 = 2*h, -4*j + 0*j - 20 = -3*h. Let l = h + i. Solve 5*z + 0 = -q + 4, q - 4*z + l = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72930*q**5 + 24*q**3 - 5209011*q**2.\nAnswer: -4375800*q**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 3 + sqrt(68) + 1 + 4 + -1 + sqrt(68) + 1 + 6*(0 + sqrt(68)))**2.\nAnswer: 768*sqrt(17) + 17552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 38 = 6*x + 4*c, 5*x = 4*c + 123. Solve -f + x = -6*f - 2*s, 0 = 3*s - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f + 5 = 3*u, -3*u + 15 = 0. Let y(n) = 27*n - 1. Let j be y(f). Suppose 6*v = -5*g + v + 55, v - j = -4*g. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from ictiicicoioioo.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h + 1. Let z be g(4). Let t = z + -2. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(63)\/(sqrt(14)\/sqrt(2)) + sqrt(9)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1341 and 319903.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**6\/180 + o**5\/10 + 3*o**4\/4 - 4*o**3\/3 - 7. Let r(q) be the third derivative of p(q). Find m, given that r(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 23*i**2 + 2*i + 29. Let m be y(-23). Let h = m - -27. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126 times 0.0074?\nAnswer: 0.0009324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3995042*k**2 + 23663*k - 139.\nAnswer: -7990084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + w + 2*w + 1311, 2167 = 5*u + 4*w. Suppose 5*h - u = 5*t, 0*t = 2*h + t - 183. Calculate the highest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309245\/20 - ((-11)\/4)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e5d6 + 1?\nAnswer: -9e5d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435536 is divided by 717763.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2892.104524 - -82.41.\nAnswer: 2974.514524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*w - 1\/4*w**2 + 45\/4 - 1\/4*w**3.\nAnswer: -(w - 5)*(w + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s + 27. Let j be n(11). Let t be 2 - (-1 - (1 + 16)). Let w = t + j. Solve -v - 2*q - 3 = 9, v = q + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3158 = 5*u + 3*c, -3*u + 949 + 940 = -4*c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.2. Let p = -230.3 - -229.253. Let b = p - -0.047. What is the closest to b in j, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 15 = -8*d. Let u be 154 + (d\/25)\/(1\/(-5)). Suppose -422 = -3*a + u. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9937*q**3 - 1140 with respect to q.\nAnswer: -29811*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10333, -20655, -30967, -41269, -51561?\nAnswer: -61843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0)**2 + 1.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18084)\/(-822)*-3*(6\/3)\/4\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*d**3*y + 73*d**2 - d - 177474*y wrt d?\nAnswer: -93*d**2*y + 146*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 9*k**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -234*w**3\/5 + 128224*w**2\/5 - 3512680*w - 600608\/5.\nAnswer: -2*(w - 274)**2*(117*w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 1. Let g = -61 + 66. Let q(m) = 12*m - 7. Let l(c) = g*i(c) - q(c). Let z be l(-3). What is the highest common divisor of 69 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 43 = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 3, s: 3, f: 1}. Give prob of sequence ft.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6)*30\/20. Let w(y) be the second derivative of y**3\/2 + 2*y**2 - 2*y. What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/((o*o\/o**(-2\/19))\/o*o*o*o))\/o)\/o*o**8*(o\/(o\/(o\/o**(-2\/7))*o*o*o)*o*o)**5 assuming o is positive.\nAnswer: o**(708\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000362095 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2501 + 19006?\nAnswer: 16605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358 and 3219236.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 227*a**4*c**2 + 4*a**3 - a*c**2 - 3405*c**2 wrt a?\nAnswer: 908*a**3*c**2 + 12*a**2 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 17*v = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 + 30416 - (0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135619 divided by 4102\nAnswer: 135619\/4102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3390734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 210872.7us?\nAnswer: 210.8727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w - 16. Let b be z(2). Is ((-986)\/b)\/((-9)\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.013 (b) 569 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 - 3*d**3 + 5*d**2 + 6*d + 1. Suppose -u + 7 = -1. List the prime factors of q(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 980*w**3 + 985*w**2.\nAnswer: -5*w**2*(w - 197)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18772 = -599682*o + 600404*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/113022 and 23\/252525?\nAnswer: 104545350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1442 - 12aa?\nAnswer: -2741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 + 8*k + 15. Let j be v(-6). Let i(b) = 9*b**3 + 11*b**2 - b**3 - 11*b**2. Let h(y) = 15*y**3. Give j*h(a) - 5*i(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaaaajajaajajaaaaaa. What is prob of picking 1 j and 3 a?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922 is divided by 6869?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7238\/9 + -804. Let n = 12249\/4316 - 187\/166. Find the common denominator of i and n.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/52*1262\/(-17037)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -940*o**4 - 276*o**2 - o?\nAnswer: -22560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 2. Let m be q(-3). Let y = m - -17. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 0 (c) 534 (d) 5 (e) 4 (f) 1 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = m + 1, 4*h - 5*m = -17. Suppose 12 = -4*z - h*f - 8, -22 = 2*z + 4*f. What is the remainder when 16 is divided by 10 + ((-3)\/z - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-9\/8)\/u)*u*u*u*u\/u**(-1\/17) assuming u is positive.\nAnswer: u**(977\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 1.3. Suppose 2*d + 12 = o, -2*o + 4*d - 4 = -7*o. Suppose f + o*f = 0. What is the second biggest value in -2, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -36. Differentiate -13 + 5*t**3 - 13 + i wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 8*m + 19. Let z be g(-9). Let t be ((-2912)\/(-20))\/(-1) - 4\/z. Is t at least -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3907 = -170*a - 216*a + 1111 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 3*p = 177, 0 = 2*j + 5*p - 153. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 946849 and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/42 and -37\/49?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13126864385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -1, -498.\nAnswer: -498, -1, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/(-2) - 96\/(-3360). Does 1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31632400.\nAnswer: 2, 5, 31, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -63*u + 5 - 30*u - 82*u. Let y be m(-1). Let q be y\/(-25)*4350\/12. What is q rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.013 and 9803.5?\nAnswer: 9803.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v**2 + 2. Let w(p) = -229*p**3 + 4*p**2 - 279*p + 8. Let b(n) = -4*j(n) + w(n). What is the second derivative of b(t) wrt t?\nAnswer: -1398*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 97.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15019 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*t = 5293 + 21412 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1) - 3\/((-10)\/(-15)*6\/(-148)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2785, -2332, -1579, -526, 827, 2480, 4433?\n\"Answer: 150*d**2 + 3*d - 2938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1257771538 - -0.2\nAnswer: -1257771537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1195*k**2 - 4995*k**2 + 1209*k**2 - k + 2 + 1132*k**2 + 1271*k**2 to x*k**2 + c*k + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059500996 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11.6, -0.1, 64, -3\/2?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1292824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 50 = 162. Let k = -25 + o. Let b(w) = -w**3 + 5*w**2 - 2*w - 4. Let z be b(k). Solve -z = -g - g, 8 = 4*m + 5*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22261376 (base 9) to base 11.\nAnswer: 60a874a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1299 = -2496. Let z = w + -526. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767049842 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*v + 9, -3*v = 3*p - 2*p + 5. What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + y - 3. Calculate t(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.036 and -1161813.\nAnswer: 41825.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b*b**13\/b)\/((b\/b**12)\/(b*b**(-1\/18))) assuming b is positive.\nAnswer: b**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((2*6\/4)\/3). Let z = -204 + 205. Sort -0.1, z, 1\/2, h in descending order.\nAnswer: z, 1\/2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, 42\/47, 3\/4, 0 in decreasing order.\nAnswer: 42\/47, 3\/4, 0, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + 7. What is the greatest common factor of v and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (2 + -1)) + 0. Let l be 25*(-34)\/30*-3. Suppose -a = -8*f + 3*f + 395, -f - a + l = h. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) + sqrt(160)*2 + sqrt(10) + sqrt(120)\/sqrt(3))\/(-3*sqrt(45)*-3 - sqrt(45)).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/23220 and -211\/3780.\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*a + 325 = -462*a - 2*l, -a - 4*l = -87. Solve a*c = 85*c + 90 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxgpl. Give prob of picking 1 p and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(165) - sqrt(165)*-2)\/sqrt(3) + sqrt(55) - (2*sqrt(165))\/sqrt(3))\/(-3*-2*sqrt(5) - 6*sqrt(5)*2))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**22)**(-2\/9)*((y*y**(-11))\/y*y)**(-1\/43) assuming y is positive.\nAnswer: y**(-1802\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/32)\/(150\/(-200))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15045452, 15045425, 15045386, 15045329, 15045248, 15045137, 15044990?\nAnswer: 15044801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*z - 261 = -1101 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -1 + (222 - 217) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Suppose -2*f - 1 + 26 = 5*q, -25 = -5*q + 4*f. Let w be -5 - (17 - 1)\/(-4). Let x(h) = -2*h - 8. Give q*m(c) + w*x(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 3, 0.2, 46?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd9 + -dda?\nAnswer: -1dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 70. Calculate b(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/710 and (3\/(-4))\/((-999)\/(-5328)) - 15689\/(-3905).\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*i - 27 = -127*i. Let d be (-3)\/i*(-4)\/5*-24. What is the third biggest value in 2, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 1126 - 1132 + 8*u - 3*u + 3398 - 1129.\nAnswer: 4*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 712113251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 78.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 54 = -15 - 129 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 29364 + 29350 = 0. What is the closest to -1\/4 in w, 2, 528?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g**2 - 240*g + 26. What is y(11)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113020 divided by -3.\nAnswer: -113020\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 - x - 7. Let i be h(3). Suppose -i = -2*p + 3*k, 2*k - k - 85 = -4*p. What is the lowest common multiple of 8 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5 + 4. Suppose l*r = 2*r - 2*u + 497, -996 = -2*r - 5*u. Suppose 2*b - 511 = 2*m - 5*m, 2*b - 3*m - r = 0. List the prime factors of b.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -27, -54, -91, -138?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t + 9. What is the tens digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 26 - 667*j + 35 - 81 as k + r*j and give r.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 329, 1122, 2659, 5186, 8949, 14194, 21167?\n\"Answer: 41*z**3 + 3*z**2 - z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/8 and 15\/102149.\nAnswer: 817192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.2 + -11.2. What is the third biggest value in a, 0.5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -23. Let i(x) = -x**3 - 6*x**2 - 1. Let p(n) = -2*n**3 - 11*n**2 - 2. Calculate m*i(o) + 6*p(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-13 + 35)) + 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/5 + 232*t**4\/5 - 568*t**3 - 326*t**2 + 21321*t\/5 - 17082\/5 = 0?\nAnswer: -3, 1, 2, 13, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 637*c**3 + 13*c**2 - 54. Let d(w) = 318*w**3 + 6*w**2 - 25. Calculate 13*d(a) - 6*v(a).\nAnswer: 312*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 - -2?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1380, -1376, -1374, -1374?\n\"Answer: -c**2 + 7*c - 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3.1. Let p(q) = -q**3 - 2. Let j be p(-2). Which is the second biggest value? (a) -2 (b) w (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 68, 99, 126, 149, 168?\n\"Answer: -2*n**2 + 41*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025822 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/((-1)\/(6\/(-9))) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -472722976*o**3*w - 175216749*o**2*w wrt o.\nAnswer: -2836337856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 20912 = -20896, 4*v = -8*c - 32 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 4. Let c be d(-4). Suppose z - 3*v - 9 = -c*z, -3*z = -2*v - 20. Solve 2*b = -k - 2 - 11, 3*k - z = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:06 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54404453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (10 + -5 - (1 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -271*f*s*w + 32*f*s - 112*f*w + 25*f + 10*s*w + 5*s - 40 wrt w?\nAnswer: -271*f*s - 112*f + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 - -1300. Let c = -985.0049 + x. What is c rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42569290 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by -9*(-14)\/(-28)*((-6)\/(-3) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.76? (a) 5\/3 (b) 2\/9 (c) 1471 (d) -0.03 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -3*n**5\/20 + 3*n**3\/2 - 3*n**2 + 24*n. Factor y(k).\nAnswer: -3*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d4 (base 15) in base 14?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11531.67 to the nearest 10.\nAnswer: -11530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**3 - 8*k**3 + k**3 - 1 + (2*k**2 + 2*k**2 - 3*k**2)*(-k - 7*k + 3*k) in the form l + v*k**2 + u*k + x*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157270?\nAnswer: 2, 5, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*q + 49, -5*q + 86 = 3*x + 15. What is the common denominator of 9\/(-4)*x\/12 and (-3)\/5 - 706\/(-160)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -14. Suppose g = -3*t + 16. Solve 5*o + 2*b + 4 = 3*o, -4*o - 1 = -t*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 170.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a5aaa (base 11) to base 9\nAnswer: 254710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.73895 weeks in hours?\nAnswer: 1300.1436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 + 760*g**2 + 34796*g + 34040 = 0?\nAnswer: -115, -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (-3)\/((-3)\/14*2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 u when three letters picked without replacement from {u: 4, q: 3, k: 1, m: 1, f: 4, j: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (161\/21)\/(1\/11130) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1671 - -8403\/5. Calculate the common denominator of r and -7\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-345)*(-4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c*((c\/(c\/(((c\/(c*c\/c**(2\/7)*c*c))\/c)\/c)))\/c)\/c)**(-1) assuming c is positive.\nAnswer: c**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + f = 2*f, 2 = -f. Let h be i\/8*(21 - 1). Suppose -4*k - 12 = 3*d - 0*k, 2*d + h*k + 15 = 0. Is -5 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 5*a. Let q(d) = 9*d**2 + 11*d + 1. Suppose 7 = -4*j - 5, 4*j - 16 = 4*z. Let l(s) = z*g(s) - 4*q(s). Is l(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2*j + 2. Let o be m(3). Let p(i) = 4*i**2 + 6*i + 1. What is the remainder when (-4 - -4) + o + 51 is divided by p(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 60, 98, 142, 192?\n\"Answer: 3*r**2 + 23*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100444440 (base 5) to base 16\nAnswer: -632e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -65. Solve 2*g - 17 = -7*v + l*v, -g + 6 = 2*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-2 + (-2 - -11) - 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4947.\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 + (4 - 2) - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80197 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53099093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/7 + -2 - (-56)\/98. Solve 0*l = a*d - 4*l + 20, 0 = -4*d + l - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19859, -19859, -19857, -19853, -19847?\nAnswer: -19839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -67, -3, 5, -2, -4, -10.\nAnswer: -67, -10, -4, -3, -2, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110 (base 3) in base 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/129000 and -93\/55040.\nAnswer: 4128000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (17 - 9) - (-2 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52597 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -39 + 0 + 12\/(-4). Let i = -37 - t. Let o = 41 - i. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009947 rounded to six decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*n - 4. Suppose -3*z = -n - 14. Suppose -z*m + 59 = -31. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 322.\nAnswer: -1\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from wjaapawpjwjww?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*w + 126*w = 360. Suppose 0 = -4*r + 16, 3*b - 3*r + 1 - 25 = 0. Suppose 0 = 4*s - b. Solve -12 = -s*i, 5*z + 0*i + w = 5*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59810?\nAnswer: 2, 5, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2, -0.5, -1, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/36 - 23*b**5\/90 + 5*b**4\/18 + 8*b**3\/9 - 3733*b**2. Let d(x) = 0. Calculate x.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279463\/319662 - 8\/3717. What is the common denominator of 36\/215 and a?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(363) + -5*sqrt(18)\/sqrt(6))*-1)**2.\nAnswer: 36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and (-34)\/(-68)*26 + (-94)\/(-2).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) - (-4 + 65\/(-10)). Let m(o) = o**2 - 9*o - 14. What is m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 9*i**2 - 12*i - 80. Let d be u(11). Solve 5*l + 15 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 235065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 2. Calculate the remainder when (-11)\/(99\/(-2)) - (-1700)\/45 is divided by b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 6 + (-3 - 4) + 5 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 8\/657, -3\/10?\nAnswer: 8\/657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 6830?\nAnswer: 6830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. Let z(k) = -6*k**3 + k - 1. Let i be z(-2). Let d = i - 41. Calculate the remainder when m is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 41*t - 47*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 9 = 74 + 173 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let l(q) = 27*q**2 - 4. Calculate l(o(i)).\nAnswer: 27*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2479806866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 - (-4 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 39*w**2 - 4. Let n(o) be the second derivative of -13*o**4\/4 + 3*o**2\/2 - 44*o - 7. What is -3*c(m) - 4*n(m)?\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 21 = 2*q. Let j be -4 + (0 - -2 - 3). Let b = j - q. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255824492.\nAnswer: 2, 3, 13, 8050157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5003218 + 0?\nAnswer: -5003218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -16*w**3 - 2*w**2 + 5*w + 5. Let x(d) = -16*d**3 - 2*d**2 + 6*d + 6. Determine -6*c(q) + 5*x(q).\nAnswer: 16*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 16*f - 21*f - 15, -5*x - 19 = -3*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2808)\/324)\/(364\/78)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5015 and 48?\nAnswer: 240720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w**3 - 5*w**2 + 74*w - 115. Let f(c) = 10*c**3 - 4*c**2 + 74*c - 115. Let k(u) = -5*f(u) + 4*m(u). Find the first derivative of k(v) wrt v.\nAnswer: -6*v**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(162) + sqrt(162) + sqrt(162)*2 + 3 - ((sqrt(162) - 1*sqrt(162))**2*4 - sqrt(162))).\nAnswer: 2 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f - 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6, r: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11760 (base 8) in base 12?\nAnswer: -2b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 204149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7353.178mg?\nAnswer: 7.353178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/120 - r**5\/20 - r**4\/4 - 11*r**3\/6 + 2*r**2 - 4*r. Give i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 13479.1.\nAnswer: 13481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -357?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*x - 30*x + 11 - 5 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6588 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z - 2241*z - 169012 = -640*z + 1230*z for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -196, -307?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 - 30 = 0. Let q be 2\/4*(-1 + j). Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125, -203, -331, -503, -713, -955, -1223?\n\"Answer: c**3 - 31*c**2 + 8*c - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((1 - 0)\/(-52)). Let h be (-6 - -21)*k\/10. Suppose -39 = 2*y - 3*y - 4*q, 3*y = q + h. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 31*o**6\/120 - 5*o**4\/4 - 2*o**2 + 25. Let x(c) be the second derivative of s(c). Find the second derivative of x(b) wrt b.\nAnswer: 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -0.03975\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(-1 - -4). Let o be 2 + (0 - g - -2). Let m be 3\/((-1)\/(-1)*1). Solve -d - 5 - o = m*r, -2*d = 3*r + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5005, -5004, -5003, -5002, -5001, -5000?\n\"Answer: q - 5006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 4 (b) -0.4 (c) 3 (d) 2\/4032901\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 56769 = -166264 - 464780. Is 69 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(567) - (sqrt(567) + -4)) + sqrt(567))*2 - (3 + (sqrt(567) - (sqrt(567) + sqrt(567) + 4)*-2))) + 1)**2.\nAnswer: 216*sqrt(7) + 5119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/694777540 and 53\/10.\nAnswer: 694777540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 16\/3. What is the second biggest value in n, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*z - 21 = 0, 9*c - 4*z = 12*c + 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*p - 12360 = 20259 + 10417 for p.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -954*m**3 - 5*m**2 - 5*m. Is u(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11868451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-5)\/((-50)\/(-18)). Let s(v) = -v**3 + 6*v**2 + 3*v + 4. Let k be s(3). Let r be 1 + (-24)\/10 + 16\/k. What is the closest to 0.1 in r, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289, -1307, -3001, -5371?\n\"Answer: -338*m**2 - 4*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z + 2. Let o be ((-60)\/24)\/((-2)\/(-4)). Let s be f(o). Suppose 6 = -3*w + h, s*h + 3 = w + 10. Which is greater: -3\/31 or w?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -1\/6, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 6. Let g(q) = q**2 + 1. Let c be g(p). Find l, given that 3*l**4 - 4*l**4 - l**c + 0*l**4 - 20*l**3 + 18*l**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.7. Suppose 16*k = 40*k - 15552. Let p = -640 + k. Which is the third biggest value? (a) -0.4 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b - 8. Let d be f(0). Let q = 12 + d. Suppose 0*c + 5*c - 50 = 0. Calculate the smallest common multiple of c and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*c = 957, 8 - 2 = -2*c. Suppose 2*x = -2*x - f. Let p = -53 - x. Solve k - 5*u = -2 - p, 2*k + 3*u = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -29, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175673250 rounded to the nearest ten thousand?\nAnswer: 175670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 11*m + 14. Let v be u(-12). What is the derivative of 59*a**v - 15 + 57*a**2 + 1 - 7*a**4 - 114*a**2 wrt a?\nAnswer: -28*a**3 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*9 - 332\/83. Sort -2\/11, 0.2, t, 33 in increasing order.\nAnswer: -2\/11, 0.2, t, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287994147?\nAnswer: 3, 7, 83, 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1.2?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 v, and 1 x when four letters picked without replacement from vvkuxffufvkivfvukvu.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/120*21\/(-14).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -6. Suppose -60 = 9*i - l*i. Suppose -2*b + 0*n - 4*n = i, 0 = 4*b - 5*n - 12. Is -2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 297679796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 139?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2213890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 0, 13, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/35*29 + 342\/(-798)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4312350\/750 - 1\/(-5)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*x - 2 = m, -2*m - 5*x - 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48391548 divided by -1329?\nAnswer: 36412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16776, 16778, 16780, 16782?\nAnswer: 16784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 120?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(605)*-1 + -3))**2 + 0 + (sqrt(605) - (sqrt(605) - (-1 + sqrt(605))))**2*-5 + 4.\nAnswer: 704*sqrt(5) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11677.26247 minus 13.988?\nAnswer: 11663.27447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 220, 221, 222, 223, 224, 225?\n\"Answer: u + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 12. Let o(w) = 10*w - 20. Let l(z) = -o(z) + 2*p(z). Give l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Suppose -10 = -3*n - 4. Suppose -n*x - 3*x = 40. What is w(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 10*o + 6*o + o**4 - 1 + 0*o - o**3 in the form f*o**4 + c*o**3 + d*o**2 + p*o + q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2140577 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*l + 28798 = 130*l. Solve -l = 13*a - 93 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71783665 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 4. Let c(t) = t**2 - t + 2. What is the least common multiple of c(-2) and z(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(63) + (sqrt(7) - (sqrt(7)*-1*3)**2).\nAnswer: -60 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 - -0.6. Suppose 0 = 98*y - 93*y - 45. Let q(o) = -o**2 + 76. Let f be q(y). Which is the closest to d? (a) -0.5 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let g = 3 - f. Let a(m) = -3*m**2 + 3*m + 5. Let i(v) = -2 - 10*v + 3*v + 4*v**2 + 3*v - 4. Calculate g*a(o) + 5*i(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g**2 + 181*g**2 + 205*g**2)*(-2 + 1 + 0) + 6*g**2 - g**2 - 3*g**2 + 0*g**2 + 3*g**2 - 2*g**2 + (-4 + 4 + g)*(0*g + g - 3*g).\nAnswer: -369*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 405585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.6. Let w = 23.2 + -22. Let j = w - 4.2. Which is the nearest to 2\/7? (a) t (b) j (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43.3 - -1.3. Let m = -45 - b. Suppose 4*f = 1 + 11. Is f greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 7263*o + 21762.\nAnswer: 3*(o + 3)*(o + 2418)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:48 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*h - 18, -3*l + 20*l + 5*h + 8 = 6*l - h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 169 + 87 + 80 + 2*r + 89 to w*r + o and give o.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 393, 395, 397, 399, 401?\n\"Answer: 2*o + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.02, -7\/3, -3\/13 in decreasing order.\nAnswer: 0, -0.02, -3\/13, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5 - 234*d**4 + 3*d**3 - 39*d**2 + 2*d - 459.\nAnswer: -180*d**2 - 5616*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2479 - 1855. Calculate the least common multiple of 105 and y.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 212, 360, 526?\n\"Answer: 9*v**2 + 103*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(12\/284)*-9. Let g = -153 - o. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + b + 677 = 0, 0*b - 3*b = 3*d - 1038. Suppose -345*h = -d*h - 48. Solve -3*s = 3*w + h, 2*s + 3*w + 13 = 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + r + 5 = -0*r, -10 = 2*r. Let m be (12\/(-18))\/(17 + f). Let c = -2903\/102 + m. Find the common denominator of 63\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 6*r**2 + r + 13. Let l be y(6). Suppose -7*a + l = -9. Suppose 4*k - 444 = -k - q, k - 85 = -a*q. List the prime factors of k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133.71 rounded to the nearest 10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8 + a**3 + 1732*a**2 - 2*a**3 - 1727*a**2 - 3 - 4*a. What is m(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 + 407 = -0*c + 5*c - y + 205, 0 = -3*c - 610*y - 2425 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 14*d + 9 = -17*d, 0 = 5*g - 4*d - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 0 + 69 - (-54)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -23, -2 in ascending order.\nAnswer: -23, -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 413 - 138. Let f(d) = -70*d + 8. Let o be f(8). What are the prime factors of 11\/n - o\/10?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**7\/210 - 773*n**6\/60 - 46*n**5\/3 + 1315*n**2. What is the third derivative of m(k) wrt k?\nAnswer: -24*k - 9276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 649\/1037?\nAnswer: 649\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 58 = -4*j + 4*q, -32*j - 3*q + 32 = -36*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 150223 = -113*n + 121937. What is the least common multiple of 72 and n?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-40))\/((-5)\/2)*(-46)\/(-2)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1815837 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44000000 = 100*x - 84*x. Round x to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -4*b + 156, -2*n + 27*b - 46*b = -24*b + 27 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(140) - sqrt(35)))\/(sqrt(35)\/sqrt(245)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*h - 25, -2*h + 5 = j - 0*j. Suppose -4*r = z - 212, 0 = 2*r - 0*z - j*z - 128. Calculate the smallest common multiple of r and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -52846.29899972 - -52847.499. Let s = -0.03 + 1.23. Let a = s - t. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 840\/112*(72\/450)\/((-2)\/(-60))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*p + 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-1 + 5 - 2). Calculate the greatest common divisor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*56\/308*10\/(-140)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - d - 11, 13*m - 11*m + 2*d = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -13*u - 1. What is s(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6095 - 6078. Let b(z) be the second derivative of 0 + i*z + 1\/2*z**2. Let l(u) = -u. Calculate 3*b(x) + l(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41286 smaller than 289008\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.794\nAnswer: -0.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17691203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/120 + 13*i**5\/60 - i**4\/6 - 11*i**3\/6 - 4329*i**2. What is s(12)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/290682 and -145\/462.\nAnswer: 3197502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -23, -9, 5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/284832 and 43\/49312.\nAnswer: 19083744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1284137, -1283987, -1283837, -1283687, -1283537?\n\"Answer: 150*u - 1284287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 15*w**2 + 8*w + 1. Let f(h) = -h**3 + 13*h**2 - 9*h. Let j(x) = 3*f(x) + 2*m(x). What is j(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12437910.\nAnswer: 2, 3, 5, 113, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*k + 4*o + 17, -24 = -3*k - 4*o. Let v(w) = -w**2 + 8*w + 3. Calculate v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -70. Let f be (-1)\/((-404)\/136 + 3). Let b = i + f. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5089.\nAnswer: 5\/5089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + -10. What is the units digit of h\/(-14) - (-4)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 5, l: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*u + 17 = 0, -8 = s + 3*s + 4*u. Let h be s\/7 - 24\/42. What is the nearest to -3 in h, 2\/3, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3109825 divided by -25\nAnswer: 124393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b**2 + 158*b**2 - 84*b**2 + 12*b**2.\nAnswer: 198*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {a: 1, i: 1, q: 1, m: 4, p: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1781.392 to zero dps.\nAnswer: -1781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from vyhbl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*n**2 - 2 - 1 - 103*n**2 - 2*n**3 - 2*n to c*n + k*n**3 + y + m*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -67*j - 252. Give x(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -35*u**2 - 2021883720*u - 577681060 = 0?\nAnswer: -57768106, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4159?\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3360 + -3150. What is the greatest common factor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 164 = 140 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.89.\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*h = 118 + 102, -58 = q + 2*h. What is the common denominator of -91\/16 and (-568)\/q*3\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*t + 1575, 55*t - 60*t + 4*i + 2630 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -910, -3606, -8088, -14356?\n\"Answer: -893*c**2 - 17*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174360961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -15*d**4\/28 - 57*d**3\/7 - 297*d**2\/14 + 243*d\/7 + 4255. Solve h(z) = 0.\nAnswer: -9, -3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-389405.\nAnswer: -194702.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1359370809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**3 - 38*o**2 - 5. Let y(g) = 19*g**3 + 37*g**2 + 4. Let i(a) = -4*r(a) - 5*y(a). Find the third derivative of i(d) wrt d.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 5*b + 6*b)*(2*b - 2*b - b)*(-4*b**2 + 4*b**2 - 2*b**3).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -173.4879006 - -0.4397\nAnswer: -173.0482006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101961 - -101964. Let y(k) = -k**3 + 2*k**2 + 2*k + 1. Let u = -3 - -2. Let z be y(u). Put -6, z, n in decreasing order.\nAnswer: n, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t + 2*t + (3 - 1 + 0)*(2*t + 0 + 0))*(-1 + 16 + 2).\nAnswer: 136*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 2*j + 3 + 2*j - j**4 to the form u*j**2 + v*j + w*j**4 + i*j**3 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 234*h - 119*h - 4638 - 22042. Calculate the remainder when 4169 is divided by h.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1059 - 682. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 342. Let v be k(0). Let q = -238 - v. Calculate the remainder when q is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -31 + 406. Suppose 0 = 6*l - l + 175. Let j = l - v. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121, -254, -391, -532, -677, -826?\n\"Answer: -2*u**2 - 127*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 + 2*f + 1. Let z(v) = 5 - 2 + 3*v**2 - 3. Calculate t(z(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x**3 - 55*x**3 - 4*x**2 + 139*x**3 + 4*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9628\/1450)\/((-2)\/(-5)) + 4\/10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15 - g + 4*g + 9*g. Let a be r(15). Is (-2*2\/(-4))\/(3\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284523, -569093, -853785, -1138659, -1423775, -1709193, -1994973?\nAnswer: -2281175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1791 is divided by 321?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2191*n - 158. Let w(i) = -729*i + 53. Let h(r) = 6*q(r) + 17*w(r). Is h(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:53 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, r: 5, f: 5}. Give prob of picking 2 m, 1 f, and 1 r.\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 0.5, -2\/5, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from xgxgxxx.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 902.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*r + 22037400 = 468*r. Is r a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 8*q + 6. Let n be i(7). Let o = 19 - n. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 438793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -760, -8515, -16270, -24025, -31780, -39535?\n\"Answer: -7755*a + 6995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 5 - 23 = 0. Let i = 3 - 2.5. What is the nearest to q in i, 0.2, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 58, 4 in descending order.\nAnswer: 58, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/28 - 3\/28. Sort 1, h, 5 in decreasing order.\nAnswer: 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, q: 3, z: 7}. What is prob of sequence zzzf?\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 7*a**2 + 7*a - 3. Let i(c) = -2*c**3 - 4*c**2 + 4*c - 2. Calculate 4*f(d) - 7*i(d).\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51296 - -845. What is s rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Let f = 44 - 42. Suppose -f*g - 25 = -7*g + s*w, 2*w - 10 = -3*g. Solve g*a - c + 2*c - 4 = 0, -3*a = -c - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 41 = -3*p - 3, 2 = -p + 4*b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j = 42*j + 289*j - 14652 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 2*p - 1. What is the lowest common multiple of 9 and w(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(15)*1)\/sqrt(5).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*q**2 - 67*q**2 + 32*q - 32*q.\nAnswer: -222*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-15)*n*n*n*n**(-8) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19526)\/146445 - (2 - 658\/(-60)) - (0 + -13).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -407*l + 33928. Determine a(83).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56630.\nAnswer: 2, 5, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -2 - 66\/2. Let y(x) = x**2 - 4. Let v be y(-8). Let n = v + m. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (-1*sqrt(3146) - sqrt(26)) - 1*sqrt(130)\/sqrt(5))\/((1*sqrt(200))\/(sqrt(576) - sqrt(576)*-1)).\nAnswer: -288*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u + 448. What is h(7)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*q + 3*y, 5*q - 3*y - 55 = 2*y. Suppose 4*k - 26 = -10. Calculate the highest common factor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = r + k, 4 = 2*r - k. Suppose r*h + h = 0. Solve -5*j + 12 + 13 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 + 8*o + o**3 + 22*o**2 - o to t*o**2 + s*o**3 + i + f*o and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35148.71 litres?\nAnswer: 35148710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2825 and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 10*y**2 - 10*y + 11. What is the tens digit of q(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460153589 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-31)*r*r**(10\/3))\/((r\/r**(10\/7))\/((r*r**(1\/2))\/r)) assuming r is positive.\nAnswer: r**(1565\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 7*o - 8. Let r be n(-10). Let l be (11\/2)\/(6 - r\/4). What is the second derivative of 28*t**5 + 5*t - 12*t + 17*t - l*t**5 wrt t?\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -o. Suppose 0 = 5*s + 3*m + 12, -14 = 3*s - 4*m - 1. Sort o, s, 3\/4 in ascending order.\nAnswer: s, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/p**(1\/23) assuming p is positive.\nAnswer: p**(114\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Suppose 2*w = -z + 21, -5*z + 51 = 5*w - n*z. Suppose -5*o + 154 = -w*o. Are o and -22 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 17}. What is prob of picking 1 y and 2 o?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3475013378?\nAnswer: 2, 1737506689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -13, 5, -3 in descending order.\nAnswer: 5, -3, -13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1212*m**3 - 478*m**3 - 255*m**3 - 480*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7294826l in millilitres?\nAnswer: 729.4826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177 * -3.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 559853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1093.5 - -1094. Let q be 2 + (-3 + 7)\/(-1). What is the closest to 1\/3 in q, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -334, 1, -4, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*n + 4*n. Suppose 0 = n*y - 17 + 13. Solve 12 = 6*h - y*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 = -3*b, -4*q = 2*b - 538 + 510 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 255, 379, 587, 879, 1255, 1715, 2259?\n\"Answer: 42*k**2 - 2*k + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 4*r**2. Let v(s) be the third derivative of s**6\/30 + 3*s**5\/20 + s**2 - 12*s. Determine 9*l(z) + 4*v(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 727.2 * -1543\nAnswer: -1122069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/d**(-1\/2)*d))**14*((d*d\/(d**(-6)\/d))\/d)\/d**(-2))\/(((d*d\/d**(-1\/4)*d*d*d)\/d*d)**(-19\/4)*d*d*d\/(d**(-6)\/d)*d**(2\/7)*d) assuming d is positive.\nAnswer: d**(1865\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2520692, -0.1 in decreasing order.\nAnswer: -0.1, -5, -2520692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 14219?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6595671796?\nAnswer: 2, 7, 235559707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*j - 27*j - 28*j - 15*j - 22*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 16. What is the remainder when 5 is divided by (15 + -13)\/((-2)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:04 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-1)\/(-1))\/(-1))\/(-1). Let b(h) = 4*h + 4. Let r(t) = -85*t + 44*t + 42*t + 1. Calculate u*b(a) - 3*r(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 12*b + 34. Let w be (-981)\/218 - (1 - 2\/(-4)). What is the remainder when 111 is divided by v(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - -2409179752715?\nAnswer: 2409179752607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 3*c - 21. Let n(l) = l**2 - l - 1. Give -j(g) + 3*n(g).\nAnswer: 2*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 0.59, 6, -9.\nAnswer: -9, -8, 0.59, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - 4) + (4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1023302 (base 4) to base 3\nAnswer: -20122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4) + (-6)\/(-3). Suppose -g + 3 - 6 = 0. Sort 4, f, g.\nAnswer: g, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5\/2, -1\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17290.7 - -17291. What is the second smallest value in 237, -0.4, 2\/7, 8, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -900 - -813. Which is the closest to 2? (a) g (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*(d*d*d**(4\/9))\/d*d))\/((d\/d**(3\/4))\/d))**(-44) assuming d is positive.\nAnswer: d**(1067\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*m + 2, -4*m + 29 = 4*i - 5*m. Suppose 3*c + 22 = 5*g, i = g + 1. Suppose 8 = z + c. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r\/r**4)\/(r*r*r*r**(-5)*r*r\/(r**(-1\/15)\/r)*r) assuming r is positive.\nAnswer: r**(-218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-20) + (13\/5 - 4). Let y = 7 + -3. Suppose -d + y = w, 1 = 2*w - 3. Put 3, z, d, -6 in increasing order.\nAnswer: -6, z, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(2\/4). Is ((-152)\/20)\/(t\/(-10)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 - 111 = 6*z. Suppose -3*b = 12, -x + 167 + 143 = -b. Calculate the greatest common factor of z and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -336*u - 212 + 212 - 3*u - 2*u + 3*u + (3*u - 4*u + 3*u)*(0 + 0 + 2) + 5*u + 9 - 9.\nAnswer: -329*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 = -173*o + 219*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-26)*4\/6*69. Let w = b - -38. Suppose w*q - 3*q = -4704000. What is q rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.03. Let f = -0.03012 + p. What is f rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255118 is divided by 85032.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 553.1 + -610. Let h = 17.2 + v. Let s = h - -39.877. What is s rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306329795 to the power of 1\/2, to the nearest integer?\nAnswer: 17502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 409*w**5 + 343*w**5 + 930*w**5 + (-3 - 1 + 6)*(-2*w**3 - w**5 + 2*w**3).\nAnswer: 1680*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14643, 29439, 44239, 59043?\nAnswer: 73851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 + 3*y + 1. Let k be l(-3). Suppose -5*v + 3*b + b = 153, 2 = b. Let s = 31 + v. Sort s, -2, k in ascending order.\nAnswer: k, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24471724.\nAnswer: 2, 23, 461, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16611*i**3 - i**2 + 16610*i**3 + i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/384 and -47\/32.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44, 153, 348, 635, 1020, 1509, 2108?\n\"Answer: l**3 + 37*l**2 - 9*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 633, 1267, 1923, 2601, 3301?\n\"Answer: 11*p**2 + 601*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19947 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 135 - 111 = 0. What is the lowest common multiple of 54 and (3 - 15\/6)*(v + 12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 9\/59 (b) 2\/15 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.8 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-4 + -2). Let g(h) be the third derivative of h**6\/360 - h**5\/30 - h**4\/24 - h**2. Let r(w) be the second derivative of g(w). Give r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1817 - -1818.019. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let b(w) = 74*w - 12. Give 2*b(o) + 26*r(o).\nAnswer: 174*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 12*x**2 + x**2 + (-10 - x + 10)*(3 - x - 3).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -657 + 827. Calculate the remainder when q is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-30))\/(2\/(-20)). Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371440 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52304, -52170, -52014, -51824, -51588?\nAnswer: -51294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*x + 4, -5*j + 4*x + 9 = 3*x. Let p = 2 - 1. Which is bigger: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, 2\/163, -0.4, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195063102 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3205235 and 6.\nAnswer: 19231410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*b, -8*a - 55*b = -56*b + 119 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1056 - -1061. What is the third smallest value in 2\/15, 15, k?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-852)\/15)\/(2\/(-10)). Let o be (30\/1)\/10*-45. Let n = k + o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 10 + 6. Let y be (3 + -11)*(-6)\/(-4). Let c = y - -26. What is the least common multiple of u and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose -h + 3 - 1 = b. Suppose 5*w + 2*x = 92, h*w = -w - 3*x + 48. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 3. Let y(m) = m - 3. Let d(l) = -3*s(l) - 2*y(l). Let r be d(7). Suppose -k = 2, 2*h + 3*k = 2*k + 6. Are h and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3, 0 in ascending order.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57090 - 57090 - 27*t**2.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13240.07 and -0.002936.\nAnswer: -13240.072936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12)**(-1\/4)*((r\/r**(2\/9))\/r)**38 assuming r is positive.\nAnswer: r**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/120 + q**5\/12 - q**4\/24 - q**3\/6 - 2*q**2. Let c(p) = p**3 + 6*p**2 - 27*p + 5. Let x be c(-9). Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**6\/60 - i**5\/60 + i**4\/24 - 3*i**2\/2 + 8. Let a(k) be the second derivative of g(k). Is 10 a factor of a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1. Let p(a) = 3*a**2 - 6*a + 8. Let b(j) = -5*j**2 + 9*j - 12. Let i(x) = 5*b(x) + 8*p(x). Give 4*h(g) - i(g).\nAnswer: g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/30 + n**3 + 8*n**2. What is the derivative of x(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 0.04707.\nAnswer: -0.037656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**3 + 1875808*b**2*v - 7311917*b*v + b + v wrt b?\nAnswer: 66*b + 3751616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46154733*j**4 - 436745943*j wrt j.\nAnswer: -553856796*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -143, 1\/3, 2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 27*a + 4*a + a**2 - 27*a + 665.\nAnswer: a**2 + 4*a + 840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhph?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -14. Let b(o) = o**2 - o + 1. Let p(q) = -5*q**2 + 5*q - 4. What is l*b(s) + p(s)?\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 15\/(-9))*3 + 136. Let k = -138 + c. Find the third derivative of 12*r**6 + 38*r**k + 65*r - 65*r wrt r.\nAnswer: 1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28182134491\/4835718 - 98\/142227. Suppose 0*y - 11652 = 2*y. Let l = h - y. Find the common denominator of l and 25\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*z + 30 + 2 - 36*z in the form c*z + v and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/5))\/(u*u*((u*u\/((u**(-5\/2)*u)\/u)*u)\/u*u)\/u))**(-48) assuming u is positive.\nAnswer: u**(1464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p - 105. What are the prime factors of t(20)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(891) + sqrt(891) + 0).\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 + 3*k**2 + 8*k - 3. Let h be n(-6). Let u = -4646\/5 + h. What is the common denominator of 27\/11 and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 722*u. Let l(s) = 9071*s. Give l(w(n)).\nAnswer: 6549262*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 73*c**2 + 132*c + 59. Determine g(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170.3 - -114. Let n = p + 56. Which is the third biggest value? (a) -0.1 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1010, 1024, 1038, 1052, 1066, 1080?\n\"Answer: 14*b + 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -47*k**4 - 2*k**3 + 7*k**3 + 45*k**4 - 4 - 2*k + 6*k**2 - 3*k**3 = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414478 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from {v: 2, d: 2, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22452 (base 6) in base 8?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7035, -5758, -3637, -678, 3113, 7730, 13167?\n\"Answer: -o**3 + 428*o**2 - 7462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 18 = -3*i. Let f be (2 - 4) + i\/(-6). What is the nearest to f in 0.5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42876960.4 to the nearest one hundred thousand.\nAnswer: -42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -2. Let z = -28258 + 28258.2. Put -8, 4, z, v in increasing order.\nAnswer: -8, v, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 20 = 2*o, 6*u + 6 = 3*u + 3*o for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = 4*k, 0 = -5*x + k + 11 + 24. Let f = -45 + 35. Let m(q) = q**3 + 9*q**2 - 10*q + 5. Let p be m(f). Solve p*j + x = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11373 + 1823 = 0. Suppose 0 = w - 1981 - g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.601489 kilograms to micrograms.\nAnswer: 3601489000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -54. Let s(q) = -30*q + 32. Is s(o) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and 140552785.08?\nAnswer: 140552786.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35b812 (base 12) to base 13.\nAnswer: -246200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/97, -35, 9?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17353 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjccmcjcmjp. What is prob of picking 3 m and 1 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s**3 - s**2 - 5*s + 5. Let r(o) = -19*o**3 + o**2 + 7*o - 7. Suppose -44 + 16 = -4*j. Calculate j*k(d) + 5*r(d).\nAnswer: -4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 20*c**3 - 42*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83.58755 litres?\nAnswer: 83587.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/57)\/(6\/(-12)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4438594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - 3*x**4 + 2*x**4 + (5*x**2 + 3 - 3 + (0 - x + 0)*(6*x - x + 2*x) + 0 - 2*x**2 + 0)*(-6 - 7*x**2 + 6).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*i*l - 18*d*i*o**2 - 17*d*i*o + 66*d*o - 3*i*o**2 - 8*l*o**2 wrt o?\nAnswer: -36*d*i - 6*i - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6227, -11877, -17527, -23177?\n\"Answer: -5650*n - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.25? (a) -2 (b) -3\/5 (c) -0.03 (d) 0.03 (e) 176 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202002 + -1?\nAnswer: 1202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -108 - 33 - 31\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11738071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4259387 or 1?\nAnswer: 4259387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -483 - -475. Let h = -10 - -16. Sort m, h, -0.3 in ascending order.\nAnswer: m, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzzqzqqqqqllqzzzl. Give prob of sequence qz.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + l - 2. Let f = 5 + -9. Let q be f\/(-4) - (-1 - 5). Let b be p(q). Solve 0 = -0*r - b*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let c(o) = -o - 4. Let b be c(0). Let p(d) = -939 - 5*d + 939. Calculate b*p(l) - 18*j(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-4))\/((-3)\/(-6)). Suppose -2*z - 10 = -2*w, -m*z - 4 = -0*z + 2*w. Let j(y) = 2*y. Determine j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzu when three letters picked without replacement from keknszu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 953314*z**6 - 220*z**2 - 2*z + 953 wrt z.\nAnswer: 114397680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 5)*(22 + -18) + 2672. Solve 9*r = -c + 2673 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.779 - -2.679. Let o = 1.8 - 2. What is the third smallest value in d, o, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6110, -12859, -20238, -28247, -36886, -46155?\n\"Answer: -315*m**2 - 5804*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 113, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5069, 5073, 5077, 5081, 5085?\n\"Answer: 4*x + 5065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12056841 and 1214?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19503, -78001, -175517, -312057, -487627?\n\"Answer: -y**3 - 19503*y**2 + 18*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*o - 35*o - 55*o in the form d*o + t and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 4. Let s = m + -1. Let z = -0.8 - 2.2. What is the nearest to 0 in -3\/4, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16911 - 33603. Let c = g + 200183\/12. Find the common denominator of c and (-29)\/10 + (-9)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -5, 44, 145, 316, 575?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + 4 - (266\/12)\/(-7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3\/2 + h. What is the units digit of v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3046 + 3?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 + 10 = 0. Solve -5*a = i*a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-47 - -40) - (17 + -12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 4. Suppose 3 = 5*m + 4*n + 17, -4*n = 4*m + 8. Let v(b) be the second derivative of -5*b + 1\/2*b**2 + 1\/6*b**3 + 0. Determine m*v(l) - 2*d(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 450 + 368 = x. Calculate the remainder when 167 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/3 + 700*b\/3 + 24500\/3.\nAnswer: 5*(b + 70)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + 136. Let i be w(22). Solve -i*y + 12 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*u**3 + 239*u**2 - 4166*u - 62?\nAnswer: 528*u + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + -9 + 20 - (2 - -51)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684703 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e + 15b25?\nAnswer: 15b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + -1 + -17 + 23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-17)\/(2023\/(-14))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 748 - 747.9. What is the fourth smallest value in -46, h, -4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:16 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/8 and 74\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (0 - -9 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -1\/2 (c) 1173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -185.934*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-7) + (-8985)\/105. Does 12 divide 282 + 17\/(j\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13 and 2457310.\nAnswer: 2457309.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 88*w - 1020. Calculate the least common multiple of (2\/(-3))\/(2\/(-36)) and t(-74).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/2 - 13866*a + 55472 = 0.\nAnswer: -27736, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/20 and 25\/17296?\nAnswer: 86480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 5:13 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26659961 divided by -4?\nAnswer: -26659961\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-9 - -2 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l**4 + 7*l**2 + 6*l + 6. Let s(r) = -r**4 + r**2 + r + 1. Let k(v) = -g(v) + 6*s(v). What is the third derivative of k(n) wrt n?\nAnswer: 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (3 - (7 - 3)) - -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 2 - 29*t**3 - 20*t**3 - 6*t**3 + 5*t**3.\nAnswer: -50*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 6. Let h = 15 + j. Sort -0.4, 0.02, h in decreasing order.\nAnswer: h, 0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**4 - 4*u**2 - u**4 + 51*u**3 - 5*u - 34*u**3 + u**4 wrt u.\nAnswer: -72*u + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 57. Let r be w(9). What is the derivative of 5 + 8 - r*m + 16*m**4 + 84*m wrt m?\nAnswer: 64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6525.516 months?\nAnswer: 0.543793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from {b: 5, e: 4, p: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, z: 4, i: 8}. Give prob of sequence giiz.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1612246 (base 7) to base 2.\nAnswer: -110110001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -m - 9*c + 4*c, -m - 11 = 2*c. Calculate the remainder when 7 is divided by m\/2*-4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/78*(-18534)\/(-58691)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/1 - 407\/111. Let h(v) = -2*v**2 - 18*v - 52. Let o(j) = -3*j**2 - 18*j - 54. Let n(p) = m*o(p) + 5*h(p). What is t in n(t) = 0?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255151?\nAnswer: 3, 751717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.6 - 28.4. Which is the second biggest value? (a) 11 (b) -0.5 (c) k (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413055 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:43 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5656775434 - -1441?\nAnswer: -5656773993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 44*i + 4*i = 43 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 1 - 435*a - 143*a.\nAnswer: -578*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*b - 70*b + 216 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392698 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/159 + 17\/53. Let h = -14 + 6. Let b = 7.6 + h. What is the nearest to n in 3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 13*w**2 + 69*w + 509. Determine q(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -11 - 10. Is q bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*l + 3*n - 2, -l + 6 = -3*n. Let s = 22 + l. Suppose 0 = -3*t + 7*t - s. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*v + 105, -124 = -4*r + 4*v - 0*v. Calculate the remainder when r is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1747388 by -436847.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18393 divided by 336.\nAnswer: 6131\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let g = f - 1. Let x be 19 + (g - 4\/(-4)). What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 12. What is k(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwiiqwqiiiqqwqqi. What is prob of picking 1 i, 1 q, and 2 w?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1599 - -300. Let s = -39081\/2 - -18269. Let b = j - s. Calculate the common denominator of 4\/5 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*k**3*y**2 - k**3 + 10*k**2*y**2 + 78*k**2 + 16*k*y**2 - k*y - 9*y**2 - 84*y + 2 wrt y.\nAnswer: 66*k**3 + 20*k**2 + 32*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (46 - 29)\/(1\/35). List the prime factors of x + -37 - (3 + 0).\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/17 - 252*b**2\/17 + 7506*b\/17 - 62640\/17 = 0?\nAnswer: 15, 24, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-2) - (-2)\/(-4). Let u be ((-18)\/96)\/(2\/h). Let x = -5.06 + 0.06. What is the closest to 1 in -1\/6, u, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 + 2.21. Let d = w + -0.9. Suppose 5*i + 4 + 16 = 0. What is the closest to 2 in -1\/5, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -53*w**3 + 4*w**2 - 56*w + 322. Is n(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16184990513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-60))\/(33\/110)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494534 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 58*f + 6. Let l be k(3). Suppose -2*b = l - 14. Is -83 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c + 8. List the prime factors of (-5 + -583)*3\/9*c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*v - 40 - 89, 5*v - 365 = 4*z. What is the remainder when v is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(0*u + u + 0*u) - 67*u + 24*u - 41*u.\nAnswer: -85*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402 + 23252?\nAnswer: 24054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2\/3, 0.5, 5956, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(1088)*4)**2*-4.\nAnswer: -69648 + 512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.94 - 0.06. Let u = o + 31.9. Which is smaller: -1\/30 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 4*c**2 - 3*c**2 + 27*c**3 - 43*c**3 + 2*c in the form m + k*c**2 + u*c + i*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -105*h**3 + h**2 - 6*h + 5. Let b(n) = -n**3 + n - 1. Let o(k) = 22*b(k) + 2*q(k). Let w be o(1). Is -233 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 8\/18 + 5. What is the closest to y in -2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -102*w + 642. Let g be h(6). Solve g = 45*z - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0.4, 0 in descending order.\nAnswer: 0.4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5+8334579\nAnswer: 8334584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4))**(-25)\/((y**(5\/3)\/y*y)\/(y**4*y)) assuming y is positive.\nAnswer: y**(-365\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from twaqhax.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:17 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07411 rounded to 3 decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + s - 4. Let l(y) = 11*y - 1. Let d(n) = 2*n. Let z(o) = -5*d(o) + l(o). Give -g(a) + 3*z(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = 3*a, -3*j + 3*a - 78 = 0. Let r = -15 - j. What is the least common multiple of r and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 9*y - 9. Let p(m) = 5*m**2 + 46*m - 46. Give -2*p(r) + 11*z(r).\nAnswer: r**2 + 7*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 1, z: 1}. What is prob of sequence sz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 6*r**2 - 3*r - 1. Let s be v(-6). Suppose -3*c + 1 = -s. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -4, 0, 0.1, 1, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221591 divided by 20.\nAnswer: 221591\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 3*i + 7. Let s be g(-4). Suppose -16 + 73 = s*a. Let l = a + -2. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233321 + 1200?\nAnswer: -1232121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 134579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 51333?\nAnswer: -51329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27417*d**3 - 29885*d**2?\nAnswer: 164502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 494 and 5467.\nAnswer: 2700698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13116 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -26648*(-19)\/(-760) - (8\/10 - 1). Are h and -663 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -q - 9. Let z = q - 33. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 3*r = -657 + 42, 4053 = 39*g + r for g.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(-28\/3)*((n**5\/n*n)\/n*n*n)\/((n*n*n\/(n\/n**(2\/11)))\/n*n) assuming n is positive.\nAnswer: n**(38\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -7.2733484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55748 divided by 6.\nAnswer: 27874\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7842 - -7838. Sort 3, -81\/8, -2, l in increasing order.\nAnswer: -81\/8, l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955375865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 59*r - 91. Let g be m(-31). Suppose i + 2*d = 9, -i = -3*d + 2*d - 3. Put g, i, -11 in descending order.\nAnswer: i, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279 - (-7 + 84\/12) and 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**5 + 10*o**4 - 17*o**2 + 3*o + 1. Let a(l) = l**5 + l**2 - l. Let n(i) = 3*a(i) + s(i). Find the third derivative of n(c) wrt c.\nAnswer: 60*c**2 + 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -1\/6*m**7 - 4\/3*m**3 + 0*m**6 + 0*m**5 + 0 + 0*m**2 + 7*m + 0*m**4. What is the second derivative of g(a) wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 33*g - 10. Let v(z) = -18*z + 5. Let j(d) = 3*l(d) + 5*v(d). Let k(n) = -14*n + 8. What is -8*j(o) - 5*k(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -0.169.\nAnswer: 1.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6000 = -0*p + 4*p. Suppose 0 = 16*c - 12*c - 4*o - 1996, 0 = -3*c + 2*o + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6341414665\/126 - -50327488. Let c = -1200 - p. Find the common denominator of c and -61\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by 4.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 0.61.\nAnswer: 0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(36)\/sqrt(4)) - (1*sqrt(5) + -3)**2.\nAnswer: -14 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 62*w. Let c(t) be the first derivative of t**2 - 201. Calculate c(n(f)).\nAnswer: 124*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2)*p**(1\/6)*p\/p**(3\/2)*p**0)\/(((p\/p**(2\/13))\/p)\/(p**3\/p))**(1\/14) assuming p is positive.\nAnswer: p**(-53\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**4 - 7\/3*h**3 + 0*h**2 + 0*h**5 + 0 + 22\/15*h**6 - 42*h. Find the second derivative of b(k) wrt k.\nAnswer: 528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-2 - -2)) + 214. Suppose 0 = -5*u + 6 + 34. Is h\/4 - 2\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193333815 to the nearest integer?\nAnswer: 13904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = 5. Sort 4, 1, l in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*s - 13, -3*v - 1468 = 2*s - 1457 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2049*c**2*n**3 - 133*c**2*n + 4*c*n**3 - 85*c*n**2 wrt n?\nAnswer: -12294*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3528.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-214)\/(-749) - (-2)\/(336\/12237). What is the smallest value in 3, 0.2, x, 4\/9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 10 = 2*f. Let k(p) = 81*p**3 - 5*p**2 + 4*p - 5. Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61367239 to the nearest integer?\nAnswer: 7834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 62*k**2 - 2*k + 1. Let v be -2*(21\/(-6) - -3). Let a be l(v). What is the remainder when a - (1 + -1)\/(-3) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqgqq. What is prob of sequence ggq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156618189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*l = -57, 39848*l = -5*m + 39846*l + 53 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 801*o**3*v - 8*o**2*v - 11*o*v wrt o.\nAnswer: 4806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233743*d**3*q**2 + 11*d**2*q**2 - 30*d**2*q - 191*d wrt d.\nAnswer: 1402458*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 587125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 12 + 1 - 774*x + 3 - 15 to z*x + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 1\/437 (c) 4 (d) 1 (e) -4\/3 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r + 10. Let f be s(7). Let i = 69.1 + -69.6. What is the second biggest value in i, 2, 4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let l(u) be the third derivative of 0 + 0*u + 1\/12*u**5 - 3*u**2 + 1\/12*u**4 - 1\/6*u**3. Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 1. Let x be v(1). Let q(g) = 8*g**3 + 4*g**2 + 5*g - 5. Let m(w) = -2*w**3 - 3*w**2 + 1 - 5*w**3 + 3 - 4*w + 0*w. What is x*q(h) - 5*m(h)?\nAnswer: 3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 760642 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 78 = -456. Suppose -141 - q = -3*s. Let t = -63 + s. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1276 + 19142\/15. Let o = 4.3 + -4. What is the second smallest value in g, -2, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2433, -3\/8 in decreasing order.\nAnswer: 0.1, -3\/8, -2433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heidkeeededke. What is prob of sequence hiki?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)\/1*5. Suppose d*s - 3 = 12. Suppose -3*m + 12 - s = 0. Solve -4 = m*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -187*q - 2. Let z(y) = 2*y + 4. Give -a(n) - z(n).\nAnswer: 185*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14\/9, -0.3, -2, -1.2, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/175129 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050817 rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**2*s + 10*g**2 - 242519*g - 30692757*s wrt g.\nAnswer: 4*g*s + 20*g - 242519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbhbhbbb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16990, 16651, 16086, 15295, 14278, 13035?\n\"Answer: -113*l**2 + 17103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from vjdxjddddvyvvvyjvx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23221000 - -3131?\nAnswer: 23224131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 = -10. Let z be 25*((1 - 2) + l). Let n(p) = 70*p - 348. Let b be n(5). Solve -b*k + 7*k + z = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -9, -28, -187, -558, -1213?\nAnswer: -2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 20?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-1)\/(-2))*-2. Let d be (-24)\/(-4)*(j - -2). Let l(z) = z**2 + 6*z + 2. What is l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1889 + 3110. Let a = q + -424. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/20 + 3*s**4\/4 - s**3 + 7*s**2\/2 - 13*s. What is u(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*r + 24 = 0, -26*s - r - 6 = -25*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 80 - 196. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 7. Let z be ((-4)\/g)\/((-14)\/(-21)). Let l(a) = 6*a + 0*a + 1 - 5*a. Give l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173\/1038*(-1 - 170) + (-9)\/(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:17 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.03017 * 0.048.\nAnswer: -0.09744816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15881301 to 3 dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 13*m - 12. Let c(w) = 6*w + 2. Let j(l) = 9*l + 5. Let d(y) = 7*c(y) - 4*j(y). Let o(p) = -5*d(p) + 3*i(p). Factor o(g).\nAnswer: -3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.1 + 24. Let s be (-9)\/6*288\/(-396). Which is the fourth biggest value? (a) s (b) -1\/4 (c) y (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/7 (b) 2 (c) -0.17 (d) 4\/417 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 11, m: 2, c: 1}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3\/3 + a**2 + 9*a + 7. Let s be q(5). Let f(p) = -8*p - 7. Let c(g) = 7*g + 6. Give s*f(b) - 7*c(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.204 + -0.2252. Round s to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/71231127 and 3\/1331?\nAnswer: 71231127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let r = 13 - 1. Let x = r + -7. Which is the nearest to -1? (a) x (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 240*i + 2016. Give x(-13).\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + (sqrt(200) + 1 - sqrt(200)) + sqrt(200) + (1 + sqrt(200) + sqrt(200)*-2 + sqrt(200) + sqrt(200) - sqrt(200)))*4*5)**2.\nAnswer: 58000*sqrt(2) + 101025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(60)\/(-1*sqrt(12)) + 5.\nAnswer: -sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-4))\/(2470\/(-2470))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 3216605*c + 12866500 = 0. What is c?\nAnswer: -4, 643325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 272. Let g be (v + 0)*(-810)\/72. Suppose 10*w - g = w. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -494 - -490. What is the nearest to -1\/2 in j, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**4 - 324*h**3 - 4370*h**2 - 364790691*h?\nAnswer: -48*h**2 - 1944*h - 8740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723 times -4?\nAnswer: -6892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 38.4 (c) 1\/4 (d) -8.532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0 - 9. Let w = 24 + -19. What is the derivative of 5 + t + 5 - w - 2*p**3 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10*v - 5. Let m be (v\/(-22))\/(5\/(-20)). Let r = -0.8 + 1. Which is the closest to 0.2? (a) 0.3 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owo. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/156)\/((-6)\/(-4)). Let b(j) = -2*j**2 - 2*j - 1. Let n(c) = -2*c**2 - 3*c. Let a(x) = -2*b(x) + 3*n(x). Let f be a(-3). Is f less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z + 39*z = 36*z - 852992. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0649 and 33.\nAnswer: -2.1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 + 5050*c + 188280 = 0 for c.\nAnswer: -36, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/(4 - 2). Let g be 4 + (-2)\/(0 + 2). Let l(b) = -b**3 + 3*b**2 + 4*b - 1. Let f be l(g). Sort h, -1, f in descending order.\nAnswer: f, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149344, 149526, 149708?\nAnswer: 149890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115, -46, -205, -368, -541?\n\"Answer: -j**3 + 7*j**2 - 175*j + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191419042 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -174*k - 513. Calculate the remainder when 267 is divided by t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - m + 16 + m + 18*m**2.\nAnswer: 18*m**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.6 + -6.7. What is the closest to 0 in -4, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 8. Let x(z) = -2*z + 2. Let r be x(-2). Let h = r - -2. Give y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h**3*h)\/h)\/h*h)**(18\/11))**(-2\/77)\/((h\/h**(-1\/4))**(1\/78)*(h**(1\/9)*h*h)\/((h**1\/h)\/h)) assuming h is positive.\nAnswer: h**(-2647649\/792792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 538ba5?\nAnswer: 538bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39, 18, -29, -114, -249?\n\"Answer: -2*w**3 - w**2 - 4*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14236 (b) -0.1 (c) -1 (d) 0 (e) -4 (f) 1 (g) 0.097\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 = 7. Let c be -4 + 5 + (g - -4). Sort -10, -2, -3, c in ascending order.\nAnswer: -10, -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -4a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2377, -4754, -7131, -9508, -11885?\nAnswer: -14262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539*t - 528*t - 1155 = 0. What is the greatest common factor of t and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*s**2 + f**3 + 513*f**2*s**5 + 5*f**2*s - f**2 - 84*f*s wrt s.\nAnswer: 12*f**3 + 10260*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n - 1. Let c be v(1). Suppose c = -2*y + 7*y - 25. Suppose -2*i - 90 = 2*o, -2*o - y*i - 67 = 20. Round o to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-660)\/308)\/15)\/((-44)\/(-4))\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*p - 8. Find f, given that 5\/3*f**3 - 5\/3*f + p*f**2 - 7\/3*f**4 - 2\/3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/312 + 11 + (14 - 2289\/91)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23\/16, -2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 21*q**2 + 103*q + 35. Calculate u(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -46 + 322. Let c = 148 - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.6. Let c = -24.3 + 26.32. Let k = 0.02 - c. What is the second biggest value in n, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 2}. Give prob of picking 1 m and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 781, 904, 1113, 1408?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*i*s**2 - 2*i*s - 153899*i - 657735*s**3 - 48*s wrt s?\nAnswer: 108*i - 3946410*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 791, 1.06, -1\/7 in increasing order.\nAnswer: -5, -1\/7, 1.06, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 732101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 958051 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -908*0.1\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.21 to one decimal place.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/391 - -5929\/39100. Calculate the common denominator of 37\/44 and u.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1413994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.44986.\nAnswer: -5.44986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 247*r + 77*r - 2531*r + 303*r - 2327*r in the form c + a*r and give a.\nAnswer: -4231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291648 divided by -4?\nAnswer: -72912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.5 (b) 8.2 (c) -58 (d) -47 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 10. Let r be o(4). Let g(c) = 3*c. Let y(j) be the third derivative of 2*j**4\/3 - 2*j**2. Calculate r*y(t) + 33*g(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 11*j + 7*j**2)*(j + 2*j - 2*j)*(-3 + 0 + 4)*(17*j + 15*j**2 - 17*j) - 4*j**4 + 4*j**4 - 2*j**5.\nAnswer: 103*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3, 3.17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-21)*36\/294.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28324 and -635?\nAnswer: -17985740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5767.99 micrograms in kilograms?\nAnswer: 0.00000576799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.072 and 21.0864?\nAnswer: 1.5182208","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 7*z**3 - 137*z**2.\nAnswer: -120*z**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -3608*l**5\/5 - l**4\/4 + l**3\/3 - 664*l**2 + 2070. Find the third derivative of z(p) wrt p.\nAnswer: -86592*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, 3, 69?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + 58\/(-6))*-6. What is the highest common factor of f and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178123 + 178123 - 15*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(9\/7) + -2. Let b = 16 + -18.1. Let u = 1.7 + b. Sort a, -3, u.\nAnswer: -3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21347007 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5150.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1113638*r**4 + r**3 + 7*r - 127257?\nAnswer: -13363656*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 448040200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -759\/350 - -13\/14. What is the common denominator of 69\/32 and i?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319247*m**3 - 2946*m**2 + 3*m + 9 wrt m.\nAnswer: 1915482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(43\/129*16\/(-200)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 5\/6, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tirvvrct. What is prob of sequence vcv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d - 801. Suppose 0 = 3*b + 4*w - 304, -5*b - 5*w + d = 296. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80299756 is divided by 1942?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtddvoddvv. Give prob of sequence tod.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*2*6)\/(sqrt(10)\/(4*sqrt(20))).\nAnswer: 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -5. Let d = -11.5 + x. Which is the closest to -1? (a) d (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 4:07 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 2 + sqrt(50) + sqrt(2))**2.\nAnswer: 90*sqrt(2) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 99\/27 - 5 - 56\/(-6). Solve j - 17 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684720341291 + 684720341291 + 8*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 2180022142.\nAnswer: -2180022118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/560 + h**6\/90 - h**5\/6 + 6*h**2. Let o(f) be the third derivative of b(f). What is the first derivative of o(j) wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355 - 397.6. Let s = 2.4 - h. Let z = s - 45.4. Which is the closest to 1? (a) z (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 2*k + 1. Let u be m(-2). Let z(q) = -7*q. Let f = -153 + 159. Let o(i) = -7*i. Determine f*o(h) + u*z(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 less than -1427916?\nAnswer: -1429061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d - 1. Let g(u) = 9*u + 1. Let l(y) = 5*g(y) + 4*p(y). Let b be l(2). Solve -2*a - 3 = -b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 3 + (-3 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose -3 = -o*b + 3. Solve 0 = b*w + 10 + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -43*y - 294. Let l be r(-6). Let d be 4*(-5 - 174\/l). What is the nearest to 0 in 1\/6, 4, d, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 12 = 2*z. Suppose 90 = -z*m + 27. List the prime factors of 2\/1 + m\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*q = -360*q - 84920 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2806, 18, 2, -1 in descending order.\nAnswer: 2806, 18, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 + 642*f + 3271. Calculate o(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b4c + 5?\nAnswer: -1b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -19546832222.9?\nAnswer: 19546832223.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -84. Suppose o*z = -z + 80. Solve s + z = -1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*t = 10*t. Solve 5*c - 15 = 5*v, -c + t = 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615181.\nAnswer: 7, 23, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (451 - 451 - 355*j + (-4 + 1 + 2)*(-4*j + 3*j - j))*(-11 - 2 - 24) to x + z*j and give z.\nAnswer: 13061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 5, g: 1}. Give prob of picking 1 e and 1 r.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (80 - 31) - -98\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 u, and 1 a when four letters picked without replacement from {a: 2, n: 4, l: 2, u: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316176 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 4*x - 7. Let j be o(-5). What is the least common multiple of (-4)\/((-2 - -4)\/j) and (10\/(-15))\/(2\/(-54))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -94081\nAnswer: -9408.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o + 6*o**3 - 2*o**4 - 5*o**3 - o**3 - 1 - 3*o**3 - 1 - o**2 to the form j*o**3 + q + m*o + t*o**4 + g*o**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4127 + 4154. Solve -4*m + 5*k - j = 0, m + 2*m + 12 = k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -695*h*k**2*s - 85*h*k**2 + 7*h*k*s - h - 13*k + 2 with respect to s.\nAnswer: -695*h*k**2 + 7*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6395)\/490 + 13)*80\/(-100)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -168303 and -3311?\nAnswer: 164992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47136 and 68.\nAnswer: 801312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a milligram in micrograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -0*g + g, -45 = -3*f + 2*g. Suppose -2*a + f = -a. What is the remainder when 25 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*-10*(-23)\/(-207)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 539, 1036, 1531, 2030, 2539?\n\"Answer: i**3 - 7*i**2 + 511*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (0 - -3 - (-6 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 18 = 29*s. Let u be (-2)\/s - 51\/(-9). What is the highest common factor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*g = 2*t - 2138*g - 192, 4*g = -t + 83 for t.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4 = 2*d, 5*d - 13*r = -16*r + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/335036 and -23\/416?\nAnswer: 2680288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8128391 rounded to two dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 2*r + 4. Suppose -4*m + 5 = -7. Suppose -m*s + 0*s = -48. What is the remainder when o(3) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314934 is divided by 300.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59537.67 kilograms?\nAnswer: 59537670000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -14. Let y(m) = -m**3 - 12*m**2 - 21*m - 6. Let h be y(t). Sort h, -8, 2 in increasing order.\nAnswer: -8, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308524.\nAnswer: 2, 137, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 + 4. Let s be d(0). Is 5 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -1797 - 8958. List the prime factors of y.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4290 is divided by 195.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23444 (base 12) in base 14?\nAnswer: 13336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 316973917 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(539)*1 - 3*(sqrt(539) + (-2*sqrt(539))**2)) + (-2 + (sqrt(539) + -5 + sqrt(539))*1)**2.\nAnswer: -4258 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*m = 201*m - 154 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3687716975 to the nearest integer?\nAnswer: 60727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 181312\/(-768) - -252 - 9\/4\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-12) - 18\/(-8). Let o = 6 - a. Suppose -i - 16 = -o*n, -5*n + 4*i - 2*i + 26 = 0. Solve 0 = 2*y + n, 5*u - 6*y = -2*y + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 2\/3*s**4 + 0 + 28\/3*s + 6*s**2.\nAnswer: -2*s*(s - 2)*(s + 1)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41\/1 - (2 + 2). Let c = -34 + z. Solve -2*q - b + 6 = 0, -b + 9 = c*q + 2*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**7\/336 - z**6\/720 - 7*z**5\/12 - z**3\/3 - 20*z**2 - 5*z. Let h(l) be the third derivative of x(l). Determine h(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49700000 rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3\/3 - 17*i**2\/2 + 10*i. Let j be f(-13). Calculate the greatest common factor of j and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-624)\/(-44) + (-8)\/44. Suppose 13*t = d*t - 1437. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + 2*p**3 + 49 - p + 29*p**3 - 2*p**4 + 8*p to q*p + y*p**4 + i*p**2 + w*p**3 + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 48 - 48. Solve 4*t = 4*s + b, 4*s + 0*s = -5*t + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 4. Suppose 0*v - 8 = -2*v. Let l be c(v). Suppose l*x = -x + 79. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3095481 divided by 3361.\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94719670577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 66*f - 9042. Suppose 3*y - 3*o = 129, -76 = -4*y - o + 76. Calculate the remainder when h(-68) is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 u, and 1 t when four letters picked without replacement from ubxubbxuxt?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.2 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -32*d**3 - 6*d**2 - 19*d - 15. Let l be k(-5). Suppose u - l = -9*u. What is u rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1588*u**2 - 18121*u**2 - 8681*u**2.\nAnswer: -25214*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/15*b + 2\/15*b**4 - 32\/15 + 8\/15*b**3 + 0*b**2 = 0 for b.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 - -302. Does 51 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 - 3202332*y**3 + 3202339*y**2 + 19213998*y = 0. What is y?\nAnswer: -3202333, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 628, 1264, 1900, 2536, 3172?\n\"Answer: 636*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0139 - -0.0027. Let r = i - -0.1112. What is the nearest to 0 in -42, r, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496176611?\nAnswer: 7, 109, 197, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 13*h + 23. Let a be l(-11). Let w be (2 + -7)*(a + 3\/5). What is the tens digit of 45 + ((-16)\/10)\/(w\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 295.1.\nAnswer: -29.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1159\/(-57) - -19)\/(2\/1*13\/1872).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 11 - 4. Suppose 2*q - 53 = -2*q + v, 0 = o*v - 9. Let f be -1 + q - (-7 - -11). Put -3, 1, f in ascending order.\nAnswer: -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 80 = x. Suppose v + 4*v - 25 = -4*p, 0 = 2*p - 5*v + 25. Suppose 3*k = 2*k - 3, p = 3*z - 4*k - 15. Solve -x = 4*t, 5*j - t = -2*t + z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -175 + 85 + 35*l + 96. Let d(k) = 3*k. Calculate d(j(n)).\nAnswer: 105*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from kibeekeikkviibik.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -104\/19, 0.3, -1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, 0.5.\nAnswer: 0.5, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13842 and 12?\nAnswer: 27684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 265 (b) -3\/5 (c) 0.3 (d) 1054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 10 - 95 = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2206 = -22*a - 270. What is the remainder when 132 is divided by a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvvccbbiicbvccvc. What is prob of sequence ic?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + c - 1 = 0, -3*n - c = 12 - 13 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 4, -5, -28, -71, -140, -241?\n\"Answer: -a**3 + 2*a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2859454*h**3 - 7301323 wrt h.\nAnswer: -8578362*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let w be i(-1). Let a(n) be the second derivative of n**3\/6 - 45*n. Determine a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 - 44*c**3 + 72*c**2 - 32*c.\nAnswer: 4*c*(c - 2)*(c - 1)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 - -116. Let o = d + 146. What is the remainder when 157 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/15 + 36014*a**2\/15 + 10809602*a + 54036006\/5.\nAnswer: 2*(a + 1)*(a + 9003)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose y = -5*o + 4*o - 8. Let i(l) = 9*l + 158. Let a be i(-17). Sort -1, a, o.\nAnswer: o, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 38*t**2 + 81*t + 50. What is c(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6129000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/42 and (-61)\/3*(-56)\/144 - 7.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1152.2 times -0.66\nAnswer: -760.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*y - 7*y + 6*y)*((1 + 1 + 0)*(-7*y + 0*y + 3*y) + (3*y - 3 + 3)*(-4 + 0 + 3)) + (-y - 3*y + 3*y)*(-y + y + 2*y).\nAnswer: 317*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 426336669 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, m: 1, a: 5, q: 4, b: 1}. Give prob of sequence aqa.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59a93d (base 14) to base 4\nAnswer: 23230010323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*z - 5*m, 2*m - 7*m = 3*z - 34. Suppose 3*h = 6*h - z. Let w be 12\/9*-3*h. Which is greater: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = o, 6 = -2*y + 3*o - 5*o. Put -3, 10, y in descending order.\nAnswer: 10, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000300460568 to seven dps.\nAnswer: -0.0003005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 11}. Give prob of sequence nrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110609 - -216508. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 5*c = 60. Let y(b) = 5*b + 4. Let r(n) = -5*n - 3. Calculate c*r(g) - 3*y(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, x: 2}. What is prob of sequence oox?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -5930, -26, 0.1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + -3. Let a(t) = -t**2 - 10*t + 17. Let n be a(-13). Let u = p - n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*s + 11. Let i be 2\/s - (-28)\/20. Let f be (-1)\/2 - (-1)\/i. Is f smaller than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4146345431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:19 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 989552.4 kilograms in micrograms?\nAnswer: 989552400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 23036800.\nAnswer: 23036800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44146880 and 1241631.\nAnswer: 397321920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 10*b**2 + 4*b + 6. Let w(t) = -5*t - 5 + 12*t**3 - 6*t**3 - t**3 + 9*t**2. Let l(j) = -3*w(j) - 4*x(j). Is 4 a factor of l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x + 15. Suppose -4*f + 8 = 0, 1 = -x*s - 4*f + 14. Let g = -276 + 271. Sort g, 2, s in ascending order.\nAnswer: g, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 4 - 0\/(-9). Suppose -i*s + 312 = 2*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78926257 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -25, 1\/4, -47\/5, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 1\/218 (c) -23\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 4. Let t(v) = 4*v + 7. Suppose i - 3 = 7. Suppose 14 = 5*u - 3*g, 5*u - 6*g + g = i. Calculate u*t(x) + 7*w(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609530299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1246282 and 9958?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0*r + 8 - r + 2*r. Let y be h(-10). What is the units digit of y*(-3)\/(-12)*-34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -5. What are the prime factors of (a + 4)\/(3\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/28*630\/(-270)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 347160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2234566*k**3 + 22855*k**2. Let l(j) = 1955*j**3 - 20*j**2. What is -4*f(y) - 4571*l(y)?\nAnswer: 1959*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4213 or -15143?\nAnswer: -15143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l**2 - 7*l - 4. Let o be r(-3). Which is the closest to -1? (a) o (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = 22*f + 494. What is the biggest value in 0.2, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((640\/10)\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, -1185, -4\/9, -15, 3.\nAnswer: -1185, -15, -17\/5, -4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20870.683 minus -0.095?\nAnswer: -20870.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2481303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 50*q + 101. What is g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + m + 8, 4*q + 16347 - 16343 = 5*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35622*y**2 - 104*y**3 + 35622*y**2.\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21503 (base 6) to base 16\nAnswer: baf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2216 - 1670. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144438 by 3.\nAnswer: -48146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 215903372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 611*z**2 + 2*z - 1. What are the prime factors of q(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*w + 156*w - 136*w = -126. Let p = -2 + 2.1. Let t be 19\/(-5) - 1\/5. Which is the nearest to p? (a) w (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by 174.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smhm when four letters picked without replacement from qqsmqlqqhhhsmfhhh.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8*l = 25. Put 0, 0.4, 3, l in decreasing order.\nAnswer: l, 3, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -8\/9*b**3 - 4\/15*b**5 + 4*b + 8\/3*b**2 - 24 - 4\/3*b**4. Suppose h(c) = 0. What is c?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from tbbb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4 - 6. Let c(w) = w - w**3 - 4*w - 5*w**b - 4 + 0*w**3 + 5. Let v = -5 - -1. Calculate c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*w - 17659 - 13587 = -9536 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab78 - -6?\nAnswer: -ab72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14*(-3)\/6 + 117. Calculate the greatest common factor of u and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Suppose -x*l + 43 + 14 = 0. Let j = 36 - l. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 92910 = -4*v, 0*v = p - v - 46457. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 391 = -22*a. Let x(h) = -a - 4 - 7*h - h**2 + 35 - 8. Give x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 8*q - 18*q + 7*q - 76.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*a + 192*a + 365*a.\nAnswer: 846*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 8*y - 2. Let v be b(-7). Suppose -54 = -v*s + 71. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let i(d) = -d**3 - 2*d**2 - 3*d. Let y be i(w). Calculate the highest common factor of y and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44623887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 50, 99, 186, 323, 522, 795?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18820671 is divided by 232.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24228 * 64.\nAnswer: -1550592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3604, -7203, -10800, -14395, -17988, -21579?\n\"Answer: s**2 - 3602*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/9 + 292*s**4\/9 + 74948*s**3\/9 + 4150544*s**2\/9 + 22754138*s\/3 - 8054244 = 0?\nAnswer: -66, -43, 1, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/5 - i**4\/3 - 8*i. Let o(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 1. Let m be d(-3). Let p = 93 + m. What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010100101011111001 - -101?\nAnswer: 1101010100101011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 6 (c) 2.445 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 161.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -45. Suppose 6 = 3*d, -r*t + 8 = -5*d - 2. Calculate the lowest common multiple of (-1)\/4 + 34\/8 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i**2 + 7*i - 5*i + 4*i - 3. Let c be 2 + (4 - 2\/2). Let b(x) = -x**3 + 6*x**2 - 5*x - 5. Let n be b(c). Determine d(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1.6, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118998486 to the nearest integer?\nAnswer: 10909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 36 = 3*i. Let r(h) = 9 - h**3 - 12*h - 22 - 10*h**2 + 0*h**2. Calculate the smallest common multiple of r(i) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.67415 tonnes?\nAnswer: 65674150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 2:26 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-67*k**2 - 88*k**2 + 52*k**2)*(0*k + k - 3*k).\nAnswer: 206*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (2 - -75) + (-168 - -198)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.013 * -79599\nAnswer: -1034.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -27. Suppose 0 = 2*s - 0*s - 36. What is the greatest common factor of s and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3229*k - 9682. Determine c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-40) + (-24)\/96. Let n be 1 + (3 - 2\/1). Suppose z + 1 = n. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6\/b)**(2\/47)*(b**(2\/11)\/b)\/b**17 assuming b is positive.\nAnswer: b**(-9080\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 5*m**3 - 4*m**3 + 0*m + (-5 + 4*m**2 + 5)*(5*m - 2*m + 0*m).\nAnswer: 13*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.49 + 0.49. Let v(f) = f**3 - 8*f**2 - f + 6. Let t be v(8). Let o be (-22)\/12 - t\/(-12). What is the third biggest value in o, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = -20. Let m be 4\/(-6)*(-11 + 14) - q. Which is the second smallest value? (a) -13 (b) -1\/2 (c) m (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 22 = -7. Let z(h) = h - 11. Give z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 0) + (25170 - 25268).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 20512604336290.\nAnswer: 20512604336289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -23) + 6 + 43 - (-1 - -3 - -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18920366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 8*u - 6*u = -2, 0 = n + 2*u - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 1434.\nAnswer: -14\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (13 + -10 + 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + -5*sqrt(847) - sqrt(847)) + 2))**2.\nAnswer: -3300*sqrt(7) + 762325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 504 = -19*w. Suppose w = 4*x - 4*b, 3*x - 3*b + b - 66 = 0. Suppose -2*s = -0*s - 16. What is the greatest common divisor of s and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8284526 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 280, 1, -3095, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*n**2 - 511*n**2 + 2 - 610*n**2.\nAnswer: -1350*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211886 divided by -1\nAnswer: -211886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 + 2. Let w be 118 - (-6)\/(-9)*3. Suppose -2*d - 5*u = -143, -4*d + 6*d = 4*u + w. Let x = d - 60. What is k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1176 + 1176. Let l(d) be the third derivative of 0*d**4 - 1\/6*d**3 + 0*d**5 + 5*d**2 + 1\/120*d**6 + 0 + q*d. Differentiate l(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 108. Let w be i(23). Let z(t) = w*t + 86*t - 177*t - 1. Calculate z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -114. Sort q, 6, -2, 3.\nAnswer: q, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2077 (c) -1\/40 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 36*n - 3. Let g(x) = 37*x - 4. Let q(r) = 5*a(r) - 4*g(r). What is q(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 326800371 * 3\nAnswer: 980401113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 - 3*h + 14*h**2 - 3*h**2 - 37 - 4*h**3. What are the prime factors of q(-9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*c + c. Let v = 20 + c. Suppose r - 5 = -z, 4*z = 2*r - r + v. Solve 0 = -r*x + 3 + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(4 + 1))\/((-30)\/18 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1600 divided by 20.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 9*x**2 + 2*x - 4*x**2)*(-9 + 11 + 12) to the form n + u*x + o*x**2 and give o.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-1))\/(-1 + 3). Suppose 0 = v + 5*h, v - o*h - 24 = -h. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6818 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.06 (b) 2\/11 (c) 6 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6300)\/245*(-182)\/4. Let b = y + -611. List the prime factors of b.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = -5*x, 0*x = -x + 4*a + 19. Let h be -5*1\/(20\/(-584)). What is the common denominator of 1\/((-114)\/h - x) and -9\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 15 - 49 + (-3 - 2 + 3)*(-6 + 2 + 2) - 2 + 2 - 1)*(-2*m**3 + 0*m**3 + m**3) to the form r*m**2 + h*m**3 + o*m + s and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003270416 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-6 - (-2)\/1). What is the units digit of (a - 167)*1\/2*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -447790 by -7.\nAnswer: 63970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -6, -325781, -5 in descending order.\nAnswer: 26, -5, -6, -325781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4644 and -133\/23220.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174443.\nAnswer: 174443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 63 - 141. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(495)*1)\/sqrt(180) - (-3 + 6*(sqrt(891) + 2))).\nAnswer: -321*sqrt(11) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.36 + -13.36. Let t = -9 - -19. Let d = g + t. Sort 0.1, 3, d in increasing order.\nAnswer: d, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 1 + 3 - 6) + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96523.\nAnswer: 7, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.02 - 1.259. Round p to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22.47, -3, -6, 4, -47, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -31*q**6\/60 - q**4\/24 + 211*q**3 - 1633*q**2. What is the derivative of d(u) wrt u?\nAnswer: -186*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9637?\nAnswer: 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 583\/13082 - 6\/211. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25251?\nAnswer: 3, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/29174 and 68\/61869?\nAnswer: 3588402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 1439162?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:54 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 136, 540, 1202, 2116, 3276, 4676?\n\"Answer: -t**3 + 135*t**2 + 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -120131 (base 5) to base 7\nAnswer: -15606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 967 in 507, 8, -0.04?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 32362 = -6*m + 23638. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - s = 0, -r - 131*s = -126*s + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 56240200 divided by -31\nAnswer: -1814200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -30*u. Let v(t) = 5*t - 8. Let o be v(5). Let s be 2 + -1 + -1 + 6. Let p(x) = -17 - 5*x + o + s*x. What is p(c(y))?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -871.41558 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 30*m**2 + 7514*m - 543. Calculate b(-103).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 15*g**2 + 2*g + 8. Let x be k(5). Calculate the greatest common factor of x and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49367.5cm?\nAnswer: 493.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1126349 + -1126288. Suppose 17 = 3*r - 88. Calculate the remainder when i is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5662\/11 > -516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -93.0108. Let h = 0.02318 - v. What is h rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 99128440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1378*a**2. Let b(j) = -2118*j**2 - 2080*j**2 + 4197*j**2. Give b(p(q)).\nAnswer: -1898884*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = m, 3*c - 3*m + 3 = 0. Suppose 3*a + 77 = -c*f + 207, 4*f + 2*a = 128. Suppose 3*h = -5*v + 124, 4*h - f = 4*v + 81. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - 4\/(-12). Suppose 5*y + 13 = d, d - 5 = 4*y + 6. Suppose -2*k + d*k - 4 = s. Solve -k*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 5*z + 9. Let r be n(-2). Which is the biggest value? (a) -2\/3 (b) r (c) 2\/17 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837369560 rounded to the nearest 100000?\nAnswer: 837400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 44, -0.1702 in decreasing order.\nAnswer: 44, 1\/7, -0.1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-8)*j**(-9)\/j)\/(j**(-6))**42 assuming j is positive.\nAnswer: j**236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*d = -0*f + 10, 0 = 3*f + 5*d + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a16 - -731b0?\nAnswer: 72699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*h + 55*h + 1565. Let f = 318 - h. Solve -4 = f*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -11021?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 7751112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 19134\/641?\nAnswer: 19134\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -175*o**5 - 721720*o**4 - 714447160*o**3 + 61776096800*o**2 + 7151088080*o - 7069446400 = 0.\nAnswer: -2102, -2\/5, 2\/7, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 9:52 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 2*x**2 - 1 + 4 + 7*x**2. Determine d(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvbbvb. Give prob of sequence bb.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 600 = -16*w. Suppose 322801 = w*x - 629. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298568023 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*b - 7, 0 = 229*j - 227*j + 2*b + 2. Let o(y) = -9*y**3 + 5*y**2 + 7*y + 5. Let z(x) = 8*x**3 - 6*x**2 - 8*x - 6. Determine j*o(v) - 5*z(v).\nAnswer: 14*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -450*u**2 - 89956 + 89956 as p + d*u**2 + j*u and give d.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(-4*g - g + 3*g)*(5*g**2 - 5*g**2 - 6*g**3).\nAnswer: -84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1090 + 3*k + 1970 - 1006 - 1 + 1 - 2*k + (2*k + k - k)*(2 - 3 + 3) - k + 5*k - 2*k - 2 - 2*k + 2.\nAnswer: 5*k - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.42859 nanograms to kilograms.\nAnswer: 0.00000000004942859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 101. Factor -1\/6*t**5 - 5\/6*t - 1\/6 - 5\/3*t**3 - 5\/6*t**l - 5\/3*t**2.\nAnswer: -(t + 1)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u**2 - 4*u + 6. Let p be f(6). Let o = -315 - p. Calculate the remainder when o is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76799, -76790, -76781, -76772, -76763?\nAnswer: -76754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - -14.7. Let k = j + -16.4. Which is the biggest value? (a) k (b) -2 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458*n**6 - 2*n**2 + 234 wrt n?\nAnswer: 54960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2455248*x**2 + 2388197*x?\nAnswer: 4910496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*d - 45*d - 3443 = 373 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24) + 2356\/912 - (-41)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*o + 8910 = 0, 0 = -g + 4*o + 2404 + 556. Is g a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 46. Suppose -o*m = -22*m - 2. Suppose -f - 3594 = -m*t + 3*f, -3*f - 5397 = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -265 - 1052?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q - 33*s + 28*s, 2*s = 3*q - 18. Suppose -g = -t - 27, g + t - 19 = -2*t. Solve -q*z - g + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**3 + 3*g**2 - 3. Calculate the remainder when f(-2) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 312*a - 1535 = 0. Calculate a.\nAnswer: -307, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 35264073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 2*j + 245 - 6*j**3 - 12*j**2 - 242 as v + n*j**3 + g*j**2 + d*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let i(c) = -84*c**2. Calculate k(i(l)).\nAnswer: -7056*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + 16060\/16135). Let a = -215 + f. Let g(o) = -2*o**2 + 1. Let n be g(1). Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 116 = 0. Calculate the remainder when g is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 3.485?\nAnswer: 0.03485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.864 * -0.122.\nAnswer: 0.105408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 4, e: 1, j: 2, l: 1, k: 3}. What is prob of sequence rj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 + 8*u + 19. Let m be h(-6). Let l(k) = k**2 - 6*k. What is l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146\/5 + -29. Let m(o) = 4*o + 27. Let f be m(-7). Which is the closest to 3? (a) l (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524233131?\nAnswer: 3, 17, 37, 277813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255\/11 - -23. Sort p, -2, -5 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0 + (1 + 0 - 5)*(-4 + 3 + 2))*(-142 + 142 + 14*h**2) as c + o*h**2 + v*h and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -309 in 5, 0.13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 + 2 = 0. Let g(u) = -u + 5. Let t be g(d). Let z(k) = -93*k - 11*k**3 + 186*k - k**2 - 94*k + 1. Give z(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 1\/2*t**2 + 24 - 1\/5*t**5 - 1\/4*t**4 + 1\/3*t**3 + 0*t. Factor j(x).\nAnswer: -x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13024314 - 13?\nAnswer: 13024301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0901 - -0.0161. Let a = 3.5 + -1.5. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-132))\/(-6*3\/144).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45637956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 5*z + 29. Let i(h) = -872*h + 4367. Let l be i(5). What is n(l)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 445900 or 445697?\nAnswer: 445900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 628799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276818 and 6807.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017260 divided by 3202?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 342*0.25171\nAnswer: 86.08482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-12))\/(17199\/(-4368)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889\/3 > -9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5679*c**4 + 22*c**3 - 279093 wrt c.\nAnswer: 22716*c**3 + 66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256*y**2 - 37*y + 23899.\nAnswer: -512*y - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3\/1996 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - s + s + 5*s in the form t + v*s and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46546 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10176)\/80)\/((-2)\/480). Let r = v + -75628. What is r rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42587356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50967353 or 50967354?\nAnswer: 50967354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9711 and 8260824?\nAnswer: 24782472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35748 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2022 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 0 + -4) + (sqrt(468)*-1)**2*-3 + (sqrt(78)\/(-2*sqrt(24)) - (-6*sqrt(78)*-2)\/sqrt(6))**2.\nAnswer: 2*sqrt(13) + 8621\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 38 = 5*s. Let l be (-16)\/(-40) + 16\/s. Let h be 5\/(-10) - (-5)\/l. Solve -2*a - h*a = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 19 - 11. Calculate the smallest common multiple of a and ((-2 - -2) + -1)*(304 - 319).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409666.\nAnswer: 2, 17, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 3*q. Suppose 2*i = q*f + 2 - 18, -5*i = -4*f + 23. Let j(t) = -2*t + 2*t**2 + f*t. Let g(r) = -r. Calculate j(g(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 7*h**2 + 7*h + 12. Let l be b(-4). Suppose -2*z - 5*r = -12494, l = r + 4*r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/20223 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k = 96*k - 698. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2*k - 2*k)*(-4 + 1 + 5)*(-3 + 1 - 2)*(3*k + k + 0*k) as t*k**2 + l + p*k and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7359200 - 3.\nAnswer: -7359203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j)*(6 + 0 - 4 + 5 - 1 - 2 + 1 - 3 - 3 + 3 + 0 - 1 + (4 + 3 - 5)*(-6 + 5 - 1)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320049 + 319888.00692. Let r = b + 161. Round r to 4 decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13142 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -10 (c) 2 (d) 7095 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 25, 9 = 2*d - 9*l + 8*l. Suppose -d*f = -4*f - 8, -5*n + 4*f = -46. Solve n*q + 8 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let c(t) = 0*t - 2*t + 2*t - t + 2. Let q be c(p). Sort 0, -3, q in increasing order.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 1.7. Let s = 1.1 + b. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10. Let w = d - 11. Let r be -2 + 0 + 11 + w. Put r, 3, 4 in decreasing order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15, -36 = -0*k - 4*k - 4*r. Let b be 0*2*(-1)\/(-12)*k. Let v(h) = -h**2 + 7. Calculate v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = 2*h, -4*h = -4*g + h + 12. Let o be g\/(-5)*60\/8. Suppose -o*m = -m - 3*q - 53, 19 = m + q. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 30 - -8 - -38) + 11.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2 - (-35)\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6889690 divided by 18.\nAnswer: 3444845\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 19*p - 18*p. Suppose m + p*m + 4*c = -40, -3*c = 12. Let u = m - -14. Calculate the lowest common multiple of 22 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**2 + 7902*n - 7902. Calculate k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/2 - (-2)\/(-4). Let y = r - 7. Let i(l) = l**2 - 7*l + 7. Let w be i(8). Solve y*b = -w + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -2. Let d = -93 - -91. Which is the nearest to y? (a) 3 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/3)\/((-7)\/(-3) - 3). Let c(f) = -6*f**2 - 5 + 19*f**2 - l*f - 14*f**2. Let r be c(-10). Let v(d) = -d - 1. Give v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 3*r**3 + 8*r**3 - 2*r**3 - 2*r**2 to q*r + a*r**2 + y + o*r**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -2488751\nAnswer: -9\/2488751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 2433 + 4868 - 2435.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3*4\/(-12))\/(4\/(-4)). Let x be -63*z\/(-2 - -3). Suppose 13*j = 16*j - x. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01186, -0.3, -5, 6?\nAnswer: -0.01186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(122 + 14378\/(-237)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 31709 + 99006 = 3*o, 5*o - 112167 = 4*f. List the prime factors of o.\nAnswer: 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/4)\/((-4)\/(-8)). Suppose -l*d + 289 = 14. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 38*p - 22. Let z be j(3). Let q = z + -88. Does 43 divide (18\/(-12))\/(2\/q) - -200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 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: Let b(r) = r. Let d be (-4)\/(4\/(-7)) + -3. Let j(t) = d + 9*t - 4 - 14*t. What is j(b(u))?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(104))\/(sqrt(8) - sqrt(32)\/(sqrt(4)*-2)).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h**2 - 12*h - 11. Let l be d(-1). Suppose 0 = 3*k - 12, m + 4*k - l = -0*k. Solve 0 = -2*o - y + 8, -3*o + y - 4*y = -m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2180*7\/(-28)*1\/(-1). Let k = 545 + i. Solve k*v = -v - 2, 3*x + 5 = -v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(3\/10)*s*s**(8\/5)\/s*s*s assuming s is positive.\nAnswer: s**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = 0, 0 = y + r - 0 + 3. Suppose 0 = o + y, 4*i - 18 = -2*o. Solve 3*b = -3*k + k + 11, -b - 2*k = -i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w + 17 - 158 - 366 = -598*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*p - 854*p - 51761 = -181442 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 18. Calculate o(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5208987 centuries to decades.\nAnswer: 5.208987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 + 19*z + 1. Determine v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:03 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -29500022?\nAnswer: -29500022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 488.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 1228*i - 1223*i. What is the highest common divisor of 270 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*i - 36076 = -1221*i + 15236 + 7236 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 - 3*u - 20. Let b(c) be the first derivative of 2*c**3\/3 + c**2 + 19*c - 3616. Determine 3*b(o) + 2*x(o).\nAnswer: -2*o**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/369 in 0, -2\/63, 14\/93, -3, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j)*(-7 + 7 - 3*j**2) + (j**2 + 0*j**2 + 0*j**2)*(6*j - 4*j - j) - 30653*j**3 + 2*j**2 + 30467*j**3 + 0*j**2.\nAnswer: -191*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 7*f - 12*f**3 + 3*f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/696)\/((-252)\/(-51520)*-2).\nAnswer: 115\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6.1, 5 in decreasing order.\nAnswer: 5, 1, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-4 - 0) - 4 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = -6. What is the remainder when 21 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r + 78. What is n(-20)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10051744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 1. Let i = 169 + -269. Let v = i - -92. Let a(q) = -4*q**3 + 2*q**2 + 8*q + 8. Give v*z(m) + a(m).\nAnswer: -4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 27*u - 10. Calculate b(-19).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1726334 - -1?\nAnswer: -1726333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 58 - 78*w + 81*w - 3*w**2 to the form v*w + b + m*w**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-15) + 10\/(-3). Let g = -0.11 - -0.81. Let s = g + -0.6. Which is the nearest to 1? (a) y (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229235 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 86*g + 273. Suppose -3 = -3*m - 5*l + 11, -2*l + 6 = m. Let o be (-1)\/(-4) + (-7)\/4. Sort o, m, g in increasing order.\nAnswer: g, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36670 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 378110898 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3115*a - 121426. Calculate y(-39).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 242 = 10*f + 4*h, 3*h = 5*f - 355. Calculate the lowest common multiple of f and 22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19189501629 + -14?\nAnswer: -13.80810498371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -15 + 5. Let l be (1 - -2) + (j - 2). What are the prime factors of (20\/l)\/((-2)\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 2, j: 2, g: 8}. Give prob of sequence jjy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -66. Let g be (-1)\/3*v*(2 + 1). Suppose g*a = 234 + 126. What is the greatest common divisor of 90 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/5, -1\/2, -10?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) -8 (c) 1\/7 (d) -221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -14) + 10 + (-23 - -13) + (-145 - -20)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146\/3019 greater than or equal to -1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47950, -47978, -48026, -48094?\nAnswer: -48182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.06311 - 4.\nAnswer: -21.06311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d. Let r be m(0). Let b(p) = -p + r*p + 5*p + 7 - 3*p. Let k be b(5). Calculate the greatest common divisor of k and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*q**3 - 28*q**2 - 1287 + 1287 wrt q?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177372910 a multiple of 1562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1742 and 40356043.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -5*a + 1\/2*a**2 + 1\/6*a**3 + 1\/12*a**4 - 22. Let i(t) = 42*t**2 + 35*t + 35. Calculate -35*d(c) + i(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9938030881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-45)\/6)*1080\/(-495)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.1. Suppose 7*r - 2*r = 0. What is the second biggest value in m, -2\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 53*o**2 + 0 + 1\/2*o**3 - 1\/24*o**4 - 2*o. Determine h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(76))*3.\nAnswer: -12 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696703 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.242 + -0.45. Let y = -0.20701 - h. What is y rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22949, 22947, 22945, 22943, 22941?\nAnswer: 22939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -218922, -218930, -218938, -218946?\n\"Answer: -8*x - 218914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - 18\/(-63). Suppose g*b + 5*b = 0. Let c(v) = v**2 + 9. What is the units digit of c(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 + -2165. Let i = 1922.68 + s. What is i rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 + 31*b - 191. Is 2 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1870943123 rounded to six dps?\nAnswer: 0.187094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6875096 years?\nAnswer: 0.0006875096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose -4*l + 2*q = -v*q - 56, 42 = 3*l + q. Calculate the least common multiple of 16 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.9 * 0.3.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -75 - 59 - 76\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10149657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*x - 169 = -3*x, 51 = s + 3*x. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(((-5)\/(-45))\/(10\/120))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39646 and 5532.\nAnswer: 237876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3\/7, -563, 6?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 2.03\nAnswer: -0.1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145.6 - 165. Let z = -1.4 - t. Let h = z - 26. Which is the second biggest value? (a) 1 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdsi when four letters picked without replacement from siikskksdkkd.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 4, x: 2, b: 2, w: 1, d: 1}. What is prob of sequence zbd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 - 39. Suppose 7*j = 4*j + a. Let n = -3 + j. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900.671 litres in millilitres?\nAnswer: 3900671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + -6 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 3475972\nAnswer: -51\/3475972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/3)\/p)\/p*p*p)\/(p*p**(-5\/7))*(p**(1\/3))**37)**(-1\/8) assuming p is positive.\nAnswer: p**(-239\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 107 = 4*v + 81, 0 = 3*s + 2*v - 550. Calculate the remainder when 899 is divided by s.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3553*i**3*p**2 + i**3 - 129*i - 30*p**2 - 10 wrt p?\nAnswer: 7106*i**3*p - 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 231*b**3 - 18*b - 111261 wrt b?\nAnswer: 693*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (445\/(-25) + 1)*5. Let y = 167\/2 + a. What is the nearest to -2\/5 in 4, 1\/10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.02, 3\/2, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (69\/46)\/(6\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-3\/10)\/l*l**21 assuming l is positive.\nAnswer: l**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - -0.4. Which is the biggest value? (a) -2\/7 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {r: 6, m: 3, y: 1, s: 1, d: 1, u: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 3) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2064 - 2061. Let p(s) = -3*s**2 + 3*s + 2. Let u(m) be the first derivative of -2*m**3\/3 + m**2 + 3*m + 1. Let q(w) = g*p(w) - 2*u(w). Factor q(y).\nAnswer: -5*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 - 12?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 123402?\nAnswer: 123410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 10*n**3 - 12*n**4 - 2 + 13*n**4 + 4*n**3 - 3*n**3 as p*n**3 + h + j*n**2 + d*n**4 + w*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -3, -19, -41?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 45 + 20*h**2 to the form r*h**2 + j*h + x and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 2*r + 2. Let k(m) be the first derivative of m**3\/3 - 3*m**2\/2 - 3*m + 15. What is -6*f(x) - 4*k(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 9*k**2\/2 - 8. Let y(s) = -4*s**2. Let t(v) = -5*v**2. Let l(j) = -5*t(j) + 6*y(j). What is l(p(u))?\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7*n + 3*n = -97, 5*n + 610 = -5*h. Is 9 a factor of h\/(-5) - 12\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.18 + 0.18. Let x = l - -1. What is the nearest to -0.5 in 2, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11483, 22946, 34409, 45872, 57335, 68798?\nAnswer: 80261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38696*t**2 - 166693*t**2 - 172296*t**2 + 76935*t**2 - 3*t**3.\nAnswer: -3*t**3 - 223358*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2994*l + 24 = 2997*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232 - 7524. Let r be 1\/(-4) - g\/(-16). Let l = r + 2156. What is l rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + -5 + 10)\/(7\/6). Let o = v - -32\/21. Let f = 0.116 + 0.164. Is f greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**3\/3 + 8*r**2 - 66*r + 302. Solve t(k) = 0 for k.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.4 - -20.4. Let j be -17*(-2)\/12*2. Let y = j - 5. Which is the biggest value? (a) y (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10333 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 4, g: 3}. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171354 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 - 20*s**2 + 15*s**2 - 2 + s. Determine w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (4738003\/633 - 0). Let z = -7485 - u. Let x = -1288\/6963 - z. What is the closest to -0.1 in 3, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(2\/7))\/n))\/n)**(2\/49)*(n*n**(-4))**(2\/29) assuming n is positive.\nAnswer: n**(-2174\/9947)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 38 = -228. Suppose 5*p + 6 + l = 0, -20 = -5*z - p. Calculate the remainder when 7 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 50*r = 492 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 x when four letters picked without replacement from {k: 2, l: 4, w: 1, n: 7, x: 3}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**3 + 1\/60*p**5 + 1\/8*p**4 + 0*p + 0 + 3*p**2. Let n(j) = j**2 + 6*j - 5. Let w be n(-6). What is l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:29 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.4 - 26. Let n = 2 + -3. What is the closest to -0.1 in 2, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0 + 0)*(-148 + 148 + 17*y**3) - y**4 + 3*y**4 + 0*y**4 - 3*y**4 - 4*y**4 - 4*y**4 - y**4 + 0*y**4 + 2*y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-990)\/(-156) - (-4)\/26) + 5560\/(-80)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 13)*(-11)\/(88\/(-92744)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*c - 126 + 33 - 96 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-375)*-3*30\/216)\/((-34)\/60).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((sqrt(68) + sqrt(68) + 0 + sqrt(68) + 1)*-3)**2) + -2.\nAnswer: 540*sqrt(17) + 27603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 8. Let j(x) = -2*x - 17. Let d = 20 - 14. What is d*j(y) - 13*w(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4 - 27*i**3 + 42*i**2 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 6156382\nAnswer: -3078191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*s - 187 = 45*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*b + 27, -3*s + 3*b + 57 = 0. Solve -18*o = -s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let x(k) = -k**3 + 12*k**2 + 6*k - 2. Let o be x(11). Let h(u) = 185 + 34*u**2 - o. Calculate h(a(c)).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110212 and 708.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6265 + 6275. Calculate the highest common factor of x and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + -47.98. Let x = 97 + i. Let m = 62.6 - x. What is m rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10 = 2*w. Solve -5*h + 4*c = -18, 7*h + w = 3*h - 5*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2089 and 1.5665?\nAnswer: 1.7754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2943 + 19?\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79952*m**4 - 7*m**3 - 9194*m**2 + 917*m wrt m.\nAnswer: 1918848*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 + 4*n - 7. What is the remainder when 113 is divided by m(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-4) - 1\/(-4). Let b(v) = 3*v - 1. Let a(f) = 6 + 4 - 1 - 4*f - 8. Let x(h) = o*b(h) + 6*a(h). What is x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 207518.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 53 - 5. Suppose -7*i = 44 - 72. Suppose 3*f - 58 = 5*z, -t = -0*f - 2*f - i*z. What is the smallest common multiple of 4 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/3 - 4)*-2. Suppose 3*g + r = 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.11 (b) 27 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2545\/300*3 - 2. Let p = z - 86\/5. What is the common denominator of p and 71\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2736)*1 + sqrt(2736))**2.\nAnswer: 10942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 10*s + 5. Let c be m(11). Let u be (-2)\/(-1) - (c + 12). Let f be (-9)\/(-2) - (-4)\/(-8). Put 2, f, u in ascending order.\nAnswer: u, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 89*h**2 + 1. Let o be r(1). What is the greatest common divisor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 18*i**2 + 42*i - 31. Let r be v(19). Suppose r = -7*s + 1163. Solve 0 = u - s*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2131 - w**2 + 2131.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhcv when four letters picked without replacement from uhvuuovcquuv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4760*k*y**3 - 2*k - 16599 wrt y.\nAnswer: -14280*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 7\/6 (c) -274322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -36. What is the least common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, 0.1, -0.4, -0.3 in increasing order.\nAnswer: -14\/5, -0.4, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5472910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(7\/4)*b))\/(b*b**(-2)*b))\/(b**(3\/7)\/(b**4\/b*b)) assuming b is positive.\nAnswer: b**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from snsslllnunlsnsnusun.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 38. Let h = 23 - o. Solve -3*t - 5 = h*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 20*q = -34*q - 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 65*f**2 - 81*f - 155. What is the units digit of o(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 38*u + 192. Give b(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 4733. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816) + 1*(-4*sqrt(816) - sqrt(816)))\/(sqrt(18)\/(-6*sqrt(36)\/sqrt(6))).\nAnswer: 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*b - 33 + 33 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let s(f) = 5*f - 2*f**2 + 57 - 32 - 25. Let a be s(3). What is the nearest to o in -4, a, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 3630 = -14*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 32373581417326?\nAnswer: -32373581417325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgzgxldxzmgx. Give prob of sequence gxxd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:39 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.061 + 0.121. What is the closest to 0 in 0, b, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*k + 22404, -99*k - 5*j + 5613 = -98*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**3\/3 - 3*j**2 - 3*j + 1. Let r be s(-2). Suppose -r*t + 22 = -3*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1416\/(-432))\/(-59))\/(2\/(-8) + 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - ((-28985)\/1463 + 10). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let g(n) = 559337*n. Determine m(g(j)).\nAnswer: -1678011*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.6 - -1.4. Let p = 35.98 - m. Put -4, p, 4\/9, 5 in descending order.\nAnswer: 5, 4\/9, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8307 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-316)\/(-8) + 0 + (-2)\/4. Let t = l - 35. Let p be (0 - t\/6)*(-6)\/28. Which is the smallest value? (a) -2\/5 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 2 - (0 - 9). Let p(d) = 8*d - 3. Is 20 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4 - 51\/(-17952)*-88?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a7b0 (base 14) to base 9.\nAnswer: 112378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02969015 minus 24049?\nAnswer: -24048.97030985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+9928.064817\nAnswer: 9928.564817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) - (-2)\/4. Suppose -3*l + 4*h = 6, 2*l - 3*l + h - j = 0. What is the common denominator of 14\/11 and (38\/(-24))\/(l\/20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1, 144.5, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17 - 25 + 158*s - 7*s + s - 59. What are the prime factors of y(2)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 + -1 + (-4 - -14). Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*k - 17, -5*b - 12*k - 40 = -8*k. Let s(u) = -5*u**3 + u**2 + 2*u + 21. List the prime factors of s(b).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 + 19*h**2 + 17*h + 6. What is the remainder when 71 is divided by f(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0341886 rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 3*r - 17184. What is the least common multiple of 2 and r?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -22*(-5 - 77\/(-14)). Let j(x) = x**3 + 9*x**2 - 21*x + 14. Let y be j(h). Solve y*b + 4 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74.41 + -73. Let b = -0.09 - w. Let g = b - 14.1. Round g to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 37, 36, 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 14*i**2 - 17*i - 25. Does 13 divide c(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -16789.\nAnswer: 3\/16789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.26 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/120 - 5*t**4\/24 + t**3\/2 - 412*t**2. Let b(v) = -3*v + 1. What is -2*a(p) + 5*b(p)?\nAnswer: 2*p**3 - 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 841 and 2690881.\nAnswer: 78035549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/7 + 342*m + 9608\/7 = 0.\nAnswer: -4, 1201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 52. Suppose a*k = -2*h + 706, -18*k = -16*k + 3*h - 289. Calculate the highest common divisor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 0*d**2 + 0*d**2)*(8 - 4*d**3 - 8)*(2 - 5 + 2).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**2 - 5*l + 113 - l**3 + 3*l**2 - 67 - l**3 - 58 to the form f*l + u*l**3 + x*l**2 + i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-8))\/(16\/(-32))*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 4:47 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5908*f - 2444642 = -2462*f - 13264*f for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 163572250 to the nearest 100000.\nAnswer: 163600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 29. Let l be f(-11). Let o(j) = -j**3 + 4*j**2 + 3*j - 2. What is o(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, r: 4}. Give prob of picking 1 r and 3 v.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/4 + 3*l**2. Let q(a) = 3*a + 48. Let r(j) = -11*j - 152. Let f(n) = -19*q(n) - 6*r(n). Calculate f(v(k)).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26330, -24251, -20784, -15929?\nAnswer: -9686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -417 + 1258\/3. Let o(x) be the first derivative of 2\/3*x + 1\/6*x**2 - h*x**3 + 7. Factor o(d).\nAnswer: -(3*d - 1)*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4010533\/3187560 + 4\/26563. Calculate the common denominator of s and -173\/150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5288*f + 1423*f + 4364*f - 662*f - 2066*f as n + k*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 3*k - 4*k - k - k + 0*k + (0 - 2 + 0)*(0*k + 4*k - 2*k) + (1 + 1 - 4)*((0*k - 4*k + 2*k)*(2 - 2 + 2) - 6*k + 2 - 2) as r + c*k and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1614*t - 1612*t + 3232*t - 116 + 0 + t + 0 + (-1 + 0 + 2)*(3*t - t - t) + 3 + t - 3 + 6*t - 4*t - 3*t in the form k*t + x and give x.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105 or -106?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6011*k**3*u - 4*k**3 - k**2*u - 12*k**2 - 2*k wrt u?\nAnswer: -6011*k**3 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/436888 and -77\/1092220?\nAnswer: 2184440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (-3)\/((-6)\/(-38)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 13*l + 2*s - 16806, -3*l = 4*s - 12602. List the prime factors of l.\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3782784 (base 10) to base 2\nAnswer: 1110011011100010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2439 and -2438 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -9)*(1 - (-2)\/(-4)). Suppose i*v - 1 - 5 = 0. Suppose 0 = -v*y - 0 + 4. Solve 6*x + y = c + 3*x, 5*x + 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*x**4 - 23*x**3 + 25*x**2 + 4380*x - 130?\nAnswer: 288*x**2 - 138*x + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 82, 76, 68, 58, 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 120 = -17*m. Let x be 9 - m\/(-10)*2. Solve k + 21 = x*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 4*l**3 + 3*l**3)*((-1 + 2*l + 1)*(-7 + 22 + 2) + 21 - 21 - l).\nAnswer: 99*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 5*t. Determine q(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/424 and -67\/530.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/4)\/((-11)\/(44\/3))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v**(-2\/5))\/(v\/(v\/((v\/(v\/v**2)*v)\/v)))**(-4\/5) assuming v is positive.\nAnswer: v**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjnnjnnjn. What is prob of picking 4 j?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 748 + -759.17. Let n = -11 - s. Let a = -0.33 - n. What is the second smallest value in 3\/8, 3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Suppose -m = 2*g - 3*z - 14, -g = 2*z - 2. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -1, -2\/15, -12, 175?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**16*t\/((t*t**(-2\/17))\/t) assuming t is positive.\nAnswer: t**(291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 12. Suppose -v*j - 16 - 8 = -3*n, -10 = -n + 2*j. Suppose -4*f + 14 = -n. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-2*-6 - sqrt(162)\/sqrt(6)) + -5)**2 - (5 + (sqrt(3) - sqrt(48)*-4) + 0).\nAnswer: -107*sqrt(3) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -369.782 * -1.\nAnswer: 369.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 70616231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3408691 divided by 17303.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 900*i - 50625.\nAnswer: 5*(i - 225)*(i + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574*u - 216929 = 328*u + 56959 for u.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2569 - 2551. Put -30, c, -1, 5 in descending order.\nAnswer: c, 5, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.29*2.9004\nAnswer: -76.251516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(114)*-2 - ((sqrt(114) - (sqrt(114) + (sqrt(114) - 2*sqrt(114))))*-2 + sqrt(114))))\/((sqrt(84)\/(sqrt(2)*-1))\/(sqrt(112)\/sqrt(4))).\nAnswer: 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 8*w - 42 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32201340 (base 5) to base 4.\nAnswer: 1002123133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -2\/7, -0.15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 55*w + 3. Let s be i(-5). Does 17 divide (-1)\/(-1 - s\/274)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/105)\/(594\/(-15))*-9)\/((-6)\/(-4)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374831396?\nAnswer: 2, 113, 829273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100221 + -1212122?\nAnswer: -2020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -4 (c) -0.343 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -5*x + 23, -x = -5. Let t(q) = -8101*q**2 + 2*q. Let a be t(c). Round a to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3603 = 6*k - 5787. Suppose 11*j - 503 = k. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39+59.94844\nAnswer: 59.55844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 13. Let d be c(-5). Solve -17 + d = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -10 - (4 - (2 - (3 - (8 - 2)))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2363, -9351, -20911, -37025, -57675, -82843, -112511?\n\"Answer: 3*o**3 - 2304*o**2 - 97*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/22)\/(188\/(-26884))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/435370 and 23\/2364.\nAnswer: 2612220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 243568589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 35. Give x(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 27*h**2 + 58*h - 783. Determine s(-30).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 88756, 2, 4 in ascending order.\nAnswer: 2, 4, 88756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 317. Let c(d) = d**2. Determine c(b(j)).\nAnswer: j**2 - 634*j + 100489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 8*f**6\/3 + 124*f**5\/5 + 28*f**4 - 108*f**3 + 36*f**2 - 2519. Let w(x) = 0. Calculate x.\nAnswer: -6, -3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 7.3. Let w = -2.700023 - f. Round w 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 420592125.\nAnswer: 3, 5, 83, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*x + 5*n + 20, -3*n = 3*x. Let f(j) be the second derivative of -26 + 2*j - 3\/2*j**2 + 1\/2*j**3. Give f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 217*h + 3601. Give u(-199).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**3\/3 + 5*h**2\/2 - 7*h - 2. Let m = 10 + 0. What is the remainder when y(-9) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315975.\nAnswer: 3, 5, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/4)\/(7 + (-45)\/6). Let w(k) = k**3 + 3*k**2 - 2*k - 3. Let n be w(-2). Let d = -2 - -1.96. Which is the closest to s? (a) -0.1 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((7\/((-147)\/24))\/((-165)\/1848*8))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 18*o**2 + 11*o - 46. Let n be f(18). Calculate the greatest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -657109119*k**4 - 25*k**2 + 38670*k + 7 wrt k.\nAnswer: -15770618856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26078 less than -4802945?\nAnswer: -4776867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -6 - (0 + 3). Suppose 0 = -j*k - 5*b + 217, -k - 229 = -4*k - 2*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*i = -27, 3*b - 6*i = -i + 23. Suppose 33 = -3*u - b. Let a = -8 - u. Solve -5*j - 21 = -2*y, j + a = -2*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10260 and 860220.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99680 and 352618?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 - 195*a**4 + 2330*a**3 - 8430*a**2 + 10625*a - 4335 = 0.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 0*d - d**2 + 1\/30*d**5 + 0*d**3 + 0*d**4. Let c(s) = 28*s**2 + 5 - 13*s**2 - 5 - 12*s**2. Determine c(l(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m + 9 - 69 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 2*o + 2. Let y be f(-4). Let u = 7 + y. What is the units digit of ((-12)\/8)\/(u\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26136 or -26094?\nAnswer: -26136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140262913 is divided by 27991?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -2.248428223615?\nAnswer: -2.348428223615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k. Let i(r) = k*r**2 + 0*r**2 - 3*r**2. Let h(d) = -484*d. Let t(y) = -2742*y. Let b(m) = -17*h(m) + 3*t(m). Give b(i(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 4135837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 216 = -27. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-240)\/6)*-6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -0.132\nAnswer: -3.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 2*g + 129. What is f(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1\/(p*p**(-5)) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29290851 and 192?\nAnswer: 1874614464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = -45*r + 93 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 343802159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310739542 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3359 divided by 6.\nAnswer: 3359\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 6 + 6 + (8 - 0) - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 + 5*c - 9. Give q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29714227 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 6 + 5*f - 9*f + 3*f)*(242*f + 112*f - 113*f).\nAnswer: -241*f**3 - 241*f**2 - 1446*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/120 + 13*i**5\/60 + i**4\/3 - 13*i**3\/3 + 519*i**2. Give l(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (13\/24)\/((-8)\/(-176)) and (2\/(-32))\/(3\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let y = 1302\/13 + -100. Let v = -6873\/5 - -1375. Which is the nearest to -1? (a) y (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 38.\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284818389?\nAnswer: 3, 94939463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 13 - 37. Suppose 16 = v*h - 104. Solve 4*g + h = -2*i, 5*g = -i - 2*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/13 + 326*w**4\/13 - 13758*w**3\/13 + 38074*w**2\/13 + 13760*w\/13 - 38400\/13 = 0. Calculate w.\nAnswer: -1, 1, 3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 23 + 51. Let o(f) be the third derivative of 1\/180*f**5 + 1\/9*f**3 + j*f**2 - 1\/24*f**4 + 0*f + 0. Let o(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86647*u**5 + u**2 - 1411*u + 1 wrt u.\nAnswer: 5198820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 10*b - 9 + 11 + 10*b. Let z(o) = 2*o**2 - 1. What is -3*p(w) - 7*z(w)?\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141587 < 141527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*o**2 + 0 - 3912\/7*o.\nAnswer: -3*o*(o + 1304)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 2*j + 3. Let d = -131 - -135. Give q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19049 - 95243\/5. What is the nearest to -107 in h, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l - 439 + 439)*(-3*l**3 - l**3 + 2*l**3) - 2*l**2 + 2*l**2 - l**4.\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:48 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -17*i**2\/2 - 17*i - 19. Differentiate n(m) wrt m.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5472 + (2 - 1) + -1.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/1 + (-1952)\/(-122). Suppose -4*p = -2*b + 8, -p = -b - 0 + 7. Suppose 2*c = -7*r + 2*r + b, 5*r + o = 5*c. Solve r*d + 2*d - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-28))\/((5\/(-14))\/(2\/4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, a: 5, m: 5, b: 2}. What is prob of picking 1 a, 1 e, and 1 b?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33783 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/9 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1561*g + 6. Let s(f) = -821080*f - 3158. What is 6*s(v) + 3158*x(v)?\nAnswer: 3158*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -81*d**3 - 33*d**2 - 33*d - 33. Let a(t) = -5*t**3 - 2*t**2 - 2*t - 2. Let z = -27 + 29. Determine z*u(h) - 33*a(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 685, 725, 769, 817, 869, 925?\n\"Answer: 2*s**2 + 34*s + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 5) to base 8.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63651221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 3*k**2 + 2*k + 2. Let d be a(-3). Let m(o) = 6*o + 5. Let c = 21 - 8. Let b(u) = -c*u - 3 - 3 - 11 + 6. Calculate d*b(l) - 9*m(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 16. Let c be i(12). Suppose -5*k + 93 = c*w, -42 = -2*k - 0*w - 4*w. Let n = 23 - k. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 10*o + 8. Let v be ((-1)\/2)\/((-27)\/18)*-33. Calculate w(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 + 2115*x - 8455. What is d(4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*u - 18 = -5*u, 0 = u - 4. Sort l, 0.1, 154 in decreasing order.\nAnswer: 154, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3329133, -6658529, -9987925?\nAnswer: -13317321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 668154757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/7 + 18*h**4\/7 + 45*h**3 + 42*h**2 = 0. What is h?\nAnswer: -7, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1176)\/2058*(-1064)\/(-16).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 5.\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228197499 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0825647 and 4.96.\nAnswer: 5.0425647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 981, 1968, 2955, 3942, 4929?\nAnswer: 5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21314 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10655330*c - 5327664*c - 5327675*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 547*d**6\/120 - 533*d**5\/60 + 2*d**2 + 555*d. Find the third derivative of w(r) wrt r.\nAnswer: 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, 48\/19, 1 in descending order.\nAnswer: 288, 48\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6617 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 + 209.196. What is q rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 16*f**2 + 4*f - 3. Let y be p(2). Suppose -5*u + 248 = -3*z, -42 = -u + z + 10. Calculate the highest common divisor of u and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.717 + -11.6964. Let a = l + 8. Round a to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 1533\nAnswer: 5\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 342\/11 (b) 1\/3 (c) -3\/5 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/779400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -651240405?\nAnswer: 651240406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28114*b**3 - 3*b**2 + 3*b**2 - 28065*b**3.\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v - 2*t - 12 = 0, 3*v - t + 14 = 0. Let j = 97.7 - 104. Let r = j + 6. Which is the third smallest value? (a) 3\/7 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 divided by 3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6142d (base 16) in base 12?\nAnswer: -172665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5952 and 402432?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 8 + 0 - 240\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4348 greater than or equal to -4344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*y**4 + 4*y**3 - 62*y wrt y.\nAnswer: 144*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + (-7 - -10). Let n = -12 + 8. Put r, n, 4 in descending order.\nAnswer: 4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/12 - 8*w**3\/3 - 103*w**2\/2 - 38*w. Let t be p(21). Solve 5*r = -2*j + 1, -3*r + t*r = -3*j - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 + 0.09. Let i = -53314\/17 - -3136. Put i, f, 5 in descending order.\nAnswer: 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = -3*b + 3, -40 = -5*b + 5*l. Calculate the lowest common multiple of b and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1\/300*o**5 + 0 + 1\/60*o**4 + 4*o + 1\/2*o**2 + 0*o**3. Let l(t) be the first derivative of x(t). Factor l(a).\nAnswer: a*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/((-295)\/(-413)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74417, -148884, -223353, -297824, -372297, -446772?\n\"Answer: -v**2 - 74464*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*b + 498 + 1098 = b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47346.86m?\nAnswer: 47346860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5 + (0 + 0 - 2)*(-4 + 3 + 0))*(-3 + 3 - 2*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-36)*(-7)\/((-350)\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/4 - 33*s**3\/4 + 18*s**2 + 108*s = 0?\nAnswer: -12, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + -330237?\nAnswer: -330327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -574, -4520, -15224, -36064, -70418, -121664, -193180, -288344?\n\"Answer: -563*l**3 - l**2 - 2*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.037961 and 34.6.\nAnswer: 70.5134506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*v - 3)*(4*v - 5*v - 6*v)*(-706*v**3 - 537*v**3 + 1073*v**3).\nAnswer: 2380*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Suppose x*w = -20 + 16. What is the tens digit of -4*(54\/(-8) - w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 31*p**2. Let m(z) = -z - 51445. What is m(j(u))?\nAnswer: -31*u**2 - 51445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41840214 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -163, -249, -337, -427, -519, -613?\n\"Answer: -t**2 - 81*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177322360 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21092231 to the nearest integer?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k. Let g(m) = -78*m. Let j(l) = -5*g(l) + 36*i(l). Suppose -3 = -5*u + 7. Let b(c) = 34*c - 34*c + 2*c**u. Calculate j(b(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 11*h)*(-5 + 3 - 2*h**2 + 3)*(-526 + 299 + 285).\nAnswer: -1276*h**3 + 638*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**4 - b**4 - b**4)*(-6 + 1 + 3) + b**4 - 1 + 1 + 6 + 20*b**2 + b**4 + 12*b**2 - 31*b**2 as h*b**4 + y + l*b + m*b**3 + i*b**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 29 = -r, -8*r + 17 = 2*c - 5*r for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - ((160 - 78) + -115)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1025 + -1025.2. Which is the second smallest value? (a) 1\/5 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 31. Is q(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -0.1. Let x = h + -0.3. Let n = 0.3 + -0.5. Is x <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-651 - -647) + (0 - -1) + (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511404 - -91862.\nAnswer: -419542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3) + (2 - 5) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-4) + 2)\/((-1089)\/(-103818)). Sort f, 5, 1 in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 12) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 6*v - 6*v)*(2*v - 2*v - 2*v) + 732*v + 46*v**2 - 732*v.\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*w - 4, -s + 3*s + w - 1 = 0. Suppose -s*l + 4 + 4 = 0. Solve -l*o + 4 = 3*z, 2*o = z + 2*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 866 - 869. Let s = 0.1 + 0.3. Put 14, k, s, 2 in increasing order.\nAnswer: k, s, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 34 - 123*q + 301*q to g*q + h and give g.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 28*d = 18*d - 1491180. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 7*q**5\/60 + 59*q**4\/24 + 205*q**3\/6 - 216*q**2. Is l(-41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**4 - 21764*n**3 - 174364*n**2 - 21964*n + 915432 = 0.\nAnswer: -7, -3, 2, 5449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**7\/5040 - x**6\/144 + x**5\/6 - 8*x**2. Let l(q) be the third derivative of o(q). Give l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 21*n + 30.\nAnswer: 3*(n - 5)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 16. Suppose -3*r + 0*r - 4*h = -17, -4*r = 4*h - 20. Let q be 14\/8 + 2\/8. Solve -r*p + q - i = -4*t, p - t = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 459200 and 1800.\nAnswer: 4132800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1090*f*w**2 - 3*f*w + f - 3*w**2 - 83*w wrt w.\nAnswer: -2180*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 3*n**3)*(2*n + 3 - 3) - 4*n**4 + 2*n**4 - 11*n**4.\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r + 5. Let o be i(-7). Let y be 0 + (-18)\/4*o. Suppose -y - 7 = -4*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/(-16))\/((-3)\/(-2))*4. Let g = 39 - 26. Suppose -3*u - c = -4*c - 6, 5*u - 2*c - g = 0. What is the second smallest value in h, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 36 = 0. Which is smaller: 13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 10. Let s(t) = t**2 + 8*t - 14. Let v be s(c). Suppose -30*u = -36*u + 18. Solve -3*q + u = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -111*m + 179 + 291\/2*m**2. What is the derivative of g(d) wrt d?\nAnswer: 291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260.1 + -39.1. Let c = -221.0000234 + s. Round c to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59825?\nAnswer: 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 660, -1116, -4064, -8184, -13476, -19940, -27576?\n\"Answer: -586*c**2 - 18*c + 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16488 = -13*h + 5*h. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1554*g**2 + 13*g + 148. Let s be m(36). Round s to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - s**3)*(s**2 - s + s) - 3*s**5 + 5*s**5 + 0*s**5 - 2*s + (-6 - 2 + 0)*(-2*s**3 + 2*s**3 + 2*s**5).\nAnswer: -15*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -758, -161, 2, 8 in decreasing order.\nAnswer: 8, 2, 0, -161, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -112*q**3 - q**2 + 3*q - 3. Suppose -4*u + 5*x + 4 = 36, 4*u - 3*x = -24. Let h be v(u). Suppose 463003 = 2*y + h. Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 389*y**3 - 182*y**3 - 3 + 8 + 55*y**3 - 3 to f*y + o*y**3 + d*y**2 + t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60372 divided by -351?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/7 - 234218*n\/7 + 820106.\nAnswer: -2*(n + 58579)*(2*n - 49)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = 0, -24 = -0*b - b + 3*d. Suppose 0 = 4*r - 8 - b. Find the second derivative of 2*h**4 - 2*h**r + 2*h - 2*h**4 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7633808.7 to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 4948*r + 371670. Give s(74).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297551 + 43.\nAnswer: 297594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207052422.\nAnswer: 2, 3, 61, 283, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 372\/853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 1, v: 2, m: 4, k: 7}. What is prob of sequence vv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31370349 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 475000. Let n be i(0). Let b be (n\/(-6))\/((-7)\/(-672)). What is b rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47573 - 47?\nAnswer: -47631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-18) - (0 + 1\/2). Let i be (1 + -1)\/(-1 + 2). Are i and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 460\/(-2)*(-22 + 23). List the prime factors of (-1 - -136)\/(-11 + v\/(-20)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*k + 2, -m + 22 = 4*m - 2*k. Suppose -26*g + 23*g = -m. Is ((-9)\/(36\/(-88)))\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q + 7 + 1\/2*q**2. Let r(g) = 4*g. Give -2*c(x) + r(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/3 - 218*h**2\/3 + 3199*h\/3 - 11368\/3 = 0 for h.\nAnswer: -232, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12807673.\nAnswer: 193, 66361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054152 - 8972119.\nAnswer: -8972119.054152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114067 + 113963.054. Let t = 104 + o. Round t to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 124 = -3*d, 0 = -2*d - 5*a + 91. Let z(q) = -d*q - 7*q + 39*q. Let m(s) = -3*s + 6*s + 31*s**2 - 3*s. Calculate z(m(o)).\nAnswer: -31*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 3*g**2 + 2*g - 2. Let n be l(-2). Let x = 6 + n. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23397 + 23396. Put m, -5, 0.3, -22\/5 in decreasing order.\nAnswer: 0.3, m, -22\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 16 = -4*i. Suppose i*s - 4 = 4*u + 28, -2*s + 3*u = -21. Let v be 3*(0 + 6\/9). Solve v*f = -s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*m = -494, 1 = 2*m - 7. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 2810*i**2 - 124379*i + 127190.\nAnswer: -(i - 1)*(i + 46)*(i + 2765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s + 272. Let l be j(-22). Calculate the least common multiple of 33 and (-6)\/l - ((-544)\/(-5))\/(-4).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/4)\/(-5)*44. Let a = l - -30. Let z be a\/(-12)*32\/(-12). What is the nearest to -3 in -2, z, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21519 and 0.5?\nAnswer: 10759.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12129.\nAnswer: 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12771976957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8338600 by 1384.\nAnswer: 6025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/17? (a) -3\/4 (b) -1 (c) 3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148914630.\nAnswer: 2, 3, 5, 53, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -53*m**2 - 1\/30*m**5 + 0*m**3 + 0*m**7 + 0 + 0*m + 1\/84*m**8 + 0*m**6 + 11\/6*m**4. Find the second derivative of r(c) wrt c.\nAnswer: 80*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10891 - -10750.795. Let v = -140.1050072 - x. Let s = -0.1 + v. What is s rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1036*v + 198914. Give a(192).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-2\/17))\/f))\/(f\/(f*f**0*f))*((f*f**(-5))\/f)\/f**(-2\/5) assuming f is positive.\nAnswer: f**(-231\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 238 + 854. What are the prime factors of j?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/4*6\/9 + -2. Suppose w = -4*w + 5*r + 45, -5*r - 5 = -w. Calculate the greatest common divisor of p and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 915*i - 910 = 0.\nAnswer: 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 9 - 18 - 2 - 3. Let b be r(-7). Solve 18*j = b*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1005, 997, 989?\n\"Answer: -8*d + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -25*l. Let p(w) be the first derivative of w**5\/30 + 23*w**2\/2 - 6. Let c(o) be the second derivative of p(o). Determine c(t(k)).\nAnswer: 1250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((25200\/(-2750))\/63)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 4 (c) -22.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176, -698, -1568, -2786, -4352, -6266?\n\"Answer: -174*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 3*k + 0*k)*(31*k**2 - 66 + 66) - 21*k**2 + 21*k**2 - 5*k**3 to z*k**2 + i + d*k + r*k**3 and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 - 1?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.898577 rounded to two dps?\nAnswer: -114.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3*n - 1. Let i = 9 + -7. Let b be i\/(-4) - (-15)\/(-10). Calculate x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 276?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 451*y**3 + 330*y + 2. Let g(f) = 3*f**3 - 1. Let v(b) = -2*g(b) - k(b). What is the second derivative of v(h) wrt h?\nAnswer: -2742*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 2, v: 2, l: 2, o: 1, f: 7}. Give prob of picking 1 l and 1 f.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-2 + 0)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(215 + 92*g - 74 - 64 - 259*g - 70).\nAnswer: -334*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2899, 2714, 2413, 1996, 1463, 814, 49?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3\/4, 2\/5, -1\/3 in increasing order.\nAnswer: -1\/3, -1\/6, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76, 84, 104, 142, 204, 296, 424?\n\"Answer: q**3 + q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*w - 113934, 0*c - 28483 = -c - w. Suppose 6*f = c - 2204. What is f rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -113*b - 187. Let q be v(-2). Solve 42*d - 9 = q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -33*d**2 - 14*d - 37. Let a(k) = -16*k**2 - 7*k - 18. Let z(p) = -9*a(p) + 4*g(p). Is z(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b + 85. Let c be v(0). Suppose -44 = y - c. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -8, -3\/7, 0.2, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, 0.1, -3\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 466*4\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -5. Calculate the smallest common multiple of y and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q - 2. Let k(b) = -b - 1. Let t(o) = -5*c(o) + 15*k(o). Let n(p) = -15*p + 4. Let x(v) = 4*n(v) + 5*t(v). Differentiate x(l) with respect to l.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/8 + 2990091*t - 17881288376562.\nAnswer: -(t - 11960364)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*z + 5 = 0, 3*h + z - 1 = 2*h. Let f be h + (-6)\/(-2) + 5. Suppose -4*b - f*b + 154 = 0. Sort b, 2, -3.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -25. Put 7, 3, v in increasing order.\nAnswer: v, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 6.3. Let d = -17 - f. Let y = 10.049 + d. What is y rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191734 + 2*x - 191743 + 575239 - 191738.\nAnswer: 2*x + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 100, 148, 196, 244?\n\"Answer: 48*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 2*x + 1. Let k be o(-1). What is the units digit of (k\/(-4))\/((-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**2 - 1. Suppose -15*i + 6 = -13*i. Suppose -i*b - 6 = -69. What is the remainder when b is divided by o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497696 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -1. What is the third biggest value in 0, 7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -15*r + 6*r + 6*r + 6*r. Let l(s) = 43*s. What is o(l(d))?\nAnswer: 129*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -155*w - 58. Suppose 76*h = 68*h + 24. Let f be o(h). Round f to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92353777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39418086*-2.7.\nAnswer: 106428832.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1418905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32110 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4107819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 181272333 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 2. Suppose 0 = 8*r + j*r - 1620. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/12 + 5*i**3\/3 + 17*i**2\/2 - 128*i. Let g be x(11). Let a(o) = o**2 - 4*o - 8. Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3350 divide 127606053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 8 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 73\/235?\nAnswer: 73\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -21 - 92*s - 35*s + 121*s. Let c(w) = -2*w - 2*w + 1 - 3 - 12. Give 8*c(u) - 5*p(u).\nAnswer: -2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 492\/9840 + (2\/9 - 5269\/180)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43451884 to the power of 1\/2, to the nearest integer?\nAnswer: 6592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 3. Calculate u(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -383.39.\nAnswer: -383.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*g - g. Let c = 765 + -776. Let t = g + c. Let i(j) = -j**3 + 5*j**2 - j - 5. Calculate i(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/30 + (-5)\/(-75). Which is the nearest to -0.2? (a) -3 (b) 0.01 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017585902 rounded to four decimal places?\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 7*t + 11. Let g be n(6). Suppose g = 3*u + 2*h, -u + 2*h + 3 + 12 = 0. Suppose 7*s - 2*s + 20 = 0. Sort s, -1, 2, u in descending order.\nAnswer: u, 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11222 - -24434?\nAnswer: 41211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -72*x + 10. Let f be k(-8). Does 12 divide f\/14 - (-4)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - ((-11 - -4) + (-17 - (-4 - 14)) - 9)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*p + 105. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/28 and 5\/2*2\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10437 or -10533?\nAnswer: -10437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 9. Let n(h) = 1. Let r(l) = -a(l) - n(l). Let i be r(7). Let t be 39\/(-1) - (-1 + i). What is t rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -50. Let w(j) = -9*j - 16. List the prime factors of w(o).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 0 - 9\/2*i**2 + 3\/2*i - 3\/2*i**4 + 9\/2*i**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 654 + -631. Suppose 0 = -20*o + l*o - 1593. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9*z + 5*z - 34 = 0, 4*h - 46 = -2*z. Calculate the highest common divisor of 49 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000111676 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40576655?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from svbgvzsgsszgssg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 + u**2)*(-2*u**2 + 0 + 0) + 0*u**4 + u**4 - 3*u**4 + (-u + u + 2*u**2)*(-5 + 5 - 2*u**2) - 2082*u**4 + 494*u**4 - 1591*u**4.\nAnswer: -3189*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 7.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 33. Let b(w) = -w - 10. Let f be b(-7). Let q = 3 + f. Is k(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -54. Suppose 0 = -28*c - 52 - 32. Put -4, y, c in descending order.\nAnswer: c, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-1))\/((-1)\/(-381)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/2 - 12501*j**4\/4 + 3911775*j**3\/4 - 13581945*j**2\/4 + 13550739*j\/4 - 1934037\/2 = 0. Calculate j.\nAnswer: 1\/2, 1, 2, 379, 1701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -992 divided by -5753\nAnswer: 992\/5753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*u + 7 = 0, -3*u + 22 = 2*g + 8. Let m(h) = -3*h**2 - 2*h + 1. Let x be m(g). Sort -3, x, 3.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmb when four letters picked without replacement from mmmbbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 36. Let j be 9\/4*3\/(n\/16). What is the second derivative of 2*m + 3*m + 13*m**4 - j*m + 6*m wrt m?\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1440000 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.1519 + 0.1519. Let s = 147 + -146. Sort p, s, 2 in ascending order.\nAnswer: p, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45\/4 in 4, -7, 192, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, u: 5}. Give prob of sequence iui.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -9. Calculate the remainder when 94 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 5. Suppose 5*i - 3 = 2*u, -10 + 5 = 5*i. Let x be a(u). Suppose v - 5*l - 18 = -l, -2*v + 26 = -x*l. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 1. Let s(x) = x**3 - 6*x**2 + 5. Let l be s(6). Let h = -62 + 65. Which is the smallest value? (a) j (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 7*b + 2*b - 10*b + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 4*w**2 - w**2 + (w**2 + 4*w**2 - 3*w**2)*(2 + 2 - 1) + 1318 - 1318 + 49*w**2 + w + 3*w**2 - w.\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2642782, -2642747, -2642700, -2642635, -2642546, -2642427?\n\"Answer: r**3 + 28*r - 2642811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1401 = -2*q + 1413, 5 = 5*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 55*a**2 + 1421*a + 6422. What is m(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*n = -125 - 255, -25 = -5*n. Let g = -2 - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 925 and 81275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -2*t**5\/5 + 7*t**4\/4 + t**3\/6 + 12*t**2 + 4*t. What is the second derivative of m(i) wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.153698694 + 0.1537. Round f to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 5545572?\nAnswer: -5545574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17*l - 28. Let d(c) = 4*c - 7. Let n(g) = 9*d(g) - 2*p(g). Let s(r) = r**2 + r. Suppose -2 = -w - 0. Let h be s(w). Determine n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012351925027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 equal to 10715\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*i**2*s**3 + 3298*i**2*s - 2*i*s**3 - 5*i*s**2 wrt s?\nAnswer: 408*i**2*s - 12*i*s - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = f + 5, 149*f = 146*f - 2*u + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*w + 23 = w, 4*w - 21 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4692 + 0.0692. What is the nearest to 1\/5 in b, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 + 2*t**3 - 19*t**2\/2 - 270*t - 1. What is z(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and -0.62517397.\nAnswer: -0.56517397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*s = -s + 4, -3*s = 3*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 + 15 = 0. Let y = 73 + b. Suppose -4*w + g = -27, 5*g - 18 = -2*w + 1. What is the greatest common factor of y and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*f + 4\/3 + 8\/3*f**2 + 2\/3*f**3.\nAnswer: 2*(f + 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 44 - 4 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -0.5, -0.32, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58931 = -5*g + 3*s, -3*g + 195*s + 35358 = 193*s. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**4\/24 + 5*j**3\/6 + 23*j**2. What is p(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.88753 - 55.\nAnswer: -53.11247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -631 (c) 0.3 (d) 0.1 (e) -1\/4 (f) 0.05 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.81 + -0.15. What is q rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -5 - 11)\/(1 + -3). Solve 3*m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38733*i + 38464*i + 16678 = 0 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 62 in descending order.\nAnswer: 62, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 22*r + 5*a - 26 = 0, 0 = 2*r - a + 3. Is 1\/208 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -28*d + 1237. Let w be h(44). Sort -919, w, 2.\nAnswer: -919, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 - 37940*l**3 + l - 40939 wrt l?\nAnswer: -24*l**2 - 227640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3887, 2.\nAnswer: -3887, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 13) to base 2.\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 45 = -r - 4, -4 = 4*r. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 5*b - 6, -4*b - 4 = 0. Let s(t) = -184*t + 371*t + t**3 - 188*t + t**2. Let j(u) = 7*u**3 + 5*u**2 - 2*u. Give g*j(h) + 5*s(h).\nAnswer: -2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1170309*a**4 - 25*a + 68146 wrt a.\nAnswer: 14043708*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12842374 to the power of 1\/2, to the nearest integer?\nAnswer: 3584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 919, 1450, 1981, 2512?\nAnswer: 3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38192060*b**5 - 4794946*b + 9.\nAnswer: -763841200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.196 + 2.496. Let p be (-2 + 2 + -2)\/15. Sort -124, p, m in decreasing order.\nAnswer: m, p, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d**3 + 4*d**2 + 4. Suppose -2*u = -o + 38 - 31, u = 3*o - 11. Let a(t) = 13*t**3 + 3*t**2 + 3. Calculate o*y(q) - 4*a(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/31))\/(b\/b**(-2\/29)))**29)**(8\/7) assuming b is positive.\nAnswer: b**(-1192\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-9)\/2)*-9. Let g = w + 29. Let o = g + -2. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 + 7*i - 3. Let c(a) = -36*a - 291. Let l be c(-9). Let y(q) = 11*q**2 + l*q**2 + 1 - q - 21*q**2 - 22*q**2. Give -r(g) - 3*y(g).\nAnswer: -g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87526 and 112120806?\nAnswer: 112120806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + 6*c**2 + 2*c - 2. Let u(s) = -s**3 + s + 1. Let x(a) = -i(a) + 4*u(a). Let b be (-30)\/(-9)*18\/10. What is the units digit of x(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + u**2 + 1. Let z be y(-2). Let j = 3 - 0. Which is the closest to 2? (a) z (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 35825244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1116 + -447. Suppose -g + u - 22 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r*r**(-3\/2)*r*r)\/r*r**34 assuming r is positive.\nAnswer: r**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.2 + 14. Let a = 2.1 + x. Is a at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 14*u - 4. Let r be m(10). Let n be (1 - r\/(-6))*-3. Solve 3*v - 4 = -n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5641 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -155725 (base 8) to base 5\nAnswer: -3300102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 1, -2, -64609 in descending order.\nAnswer: 1, -2, -111, -64609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7032\/4102 - 86\/42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 303*d - 301*d + 5*d**2 + 7*d**3 + 3*d**4 + 6*d**3 to the form y*d**3 + v + t*d + l*d**4 + m*d**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**3\/3 - 332. Let u(b) = 862*b. Determine d(u(z)).\nAnswer: 1486088*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.58008 + 0.02992. Let k = -32.2 - -0.2. Let v = h + k. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 209*m**8\/56 + 7*m**4 - 3*m**2\/2 - 203*m. Find the third derivative of v(j) wrt j.\nAnswer: 25080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1076 = -k + 226, -i - 1 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38725091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243522 and 906858.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 6117*y**2 + 37368705*y\/2 - 149866564.\nAnswer: (y - 8)*(y + 6121)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 866, 1299, 1732, 2165, 2598?\nAnswer: 3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.47 - -0.34. Let l = -0.23 - j. Which is the third biggest value? (a) l (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3 - 77*c**2 - 68*c**2 + 165*c**2 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -220*k + 21. Suppose 3*v - p - 21 = -0*v, 2*p = 0. Let d be x(v). Let g = d - -16721\/11. Which is greater: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 4 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 10. Let q be t(-6). Suppose -r = -0*r - q. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347914 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 200 + 27 + 50 + 6*g + 56.\nAnswer: 6*g + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42493899?\nAnswer: 3, 7, 19, 106501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*m = 3, -3*w + 13 = 7*m - 8*m. Solve -10*p + w = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24701, 98686, 221967, 394544, 616417, 887586, 1208051?\n\"Answer: 24648*w**2 + 41*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**2 + 163*u - 163*u.\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*n + 0*n + 0*n)*(-3*n + 3*n - n) - n**2 - 3*n**2 + 0*n**2)*(n + n - n) + 3*n**3 + n**3 + 0*n**3 in the form m + y*n**3 + p*n + a*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -26*t**3 + 20*t**2 - 66*t + 354. Let q(c) = 5*c**3 - 4*c**2 + 13*c - 71. Determine 6*n(y) + 31*q(y).\nAnswer: -y**3 - 4*y**2 + 7*y - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 (base 7) in base 8?\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 47*s - 65. Let f be k(-22). Put -1, 37, f in descending order.\nAnswer: 37, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*n - 5*n + 4*l, -5*n = 2*l - 296. Let y = n + 133. List the prime factors of y.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.202138cm in nanometers?\nAnswer: 2021380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-12))\/((-90)\/120))\/((-39)\/(-156)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5445.99471 and 11.9.\nAnswer: -5434.09471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (2 - (-4)\/(-7)). Let a = 0.05 - -0.01. Let g = a - 0.26. Sort 0.3, g, u in increasing order.\nAnswer: g, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from oxgogxogoxxx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1299714 or 1299716?\nAnswer: 1299714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 + 14 = r, 16 = -4*r. Let h be m\/((-5)\/3) + 0. Let b(w) = -3*w**2 - 2*w + 4. Let t(q) = q**2 - q. Let a(l) = b(l) + 2*t(l). Calculate a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7055, 28228, 63523, 112946, 176503, 254200, 346043?\nAnswer: 452038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 3*h. Let f = -1 - -5. Let m be s(f). Sort 0, 4, m.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let f(j) = 4*j + j - w*j. Let p(k) be the third derivative of -k**5\/60 + k**2. Determine p(f(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*v + 18, 8*v = w + 7*v. Let n(z) be the second derivative of 4*z**w + 4\/3*z**3 + 0 + 13*z. Differentiate n(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = h + 10*h. Suppose -10*c - 3 = -h. Solve g + 3 - c = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)*(-8)\/(-52). Put -0.4, p, -2 in ascending order.\nAnswer: -2, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190517 and 634?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000550310687 to six dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 10\/2)*168\/(-7). What is the biggest value in 2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-14)*((-42)\/126)\/((-10)\/6).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 1001 = 2*a - b, -3*a + 1467 = b. Suppose -486*j = -a*j + 15. Suppose 4*u - 353 + 33 = 0. What is the highest common divisor of u and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 135, 159, 199, 255, 327?\n\"Answer: 8*q**2 + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let t = -3 + 3. What is the first derivative of 1 + 0*n**4 + t*n**4 + 2*n**j wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k*k*k*k)\/((k\/(k**(2\/9)*k*k))\/k)*(k\/(k\/((k**(1\/26)*k)\/k)))\/k**(-8) assuming k is positive.\nAnswer: k**(23827\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.77 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8400 and 39060?\nAnswer: 781200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**0)\/z))**(-3\/10)\/(((z*z**(-1\/6)*z)\/z*z)\/(z\/(z\/(z*z**(-4)*z)*z))) assuming z is positive.\nAnswer: z**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903 + 1142 - 1270 - 2149 = -60*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 121*n**2 - 165*n + 1823. Does 57 divide j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9567 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(((-44)\/24)\/(-11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:09 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21*f - 36. Let c(n) = 4*n - 7. Let b(u) = 2*a(u) - 11*c(u). Give b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5*g - 45 = 0, -3*b - 5 = 7*g - 2*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26bd7 (base 16) in base 5?\nAnswer: -20034204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10177665.067 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1561280 divided by -952\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - l**2 + 4*l + 1. Suppose -7*j - 36 = 2*m - 9*j, 6 = 2*j. Let v be m\/20 + (-72)\/32. What is c(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 1220*w\/3 - 9376\/3.\nAnswer: -2*(w + 8)*(3*w + 586)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 5*s + 4 = 0, -3*k + 30 = 3*s. Suppose -z = -4*p - 2075, -k*z + 2*z = p + 540. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*q + 4*a + 5, -4*q - 4*a - 4 = 0. Suppose q = -t + 14. Let c(b) = -b**2 - 16*b - 16. What is the remainder when c(-12) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 + -314. Let o = i + 664. Which is the smallest value? (a) o (b) 2\/13 (c) -0.08 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 15 + 0 = 0, -2*g - 82 = -2*j. Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -223443?\nAnswer: 224003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 183341 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 2. Let h(b) = 4*b + 1. Suppose -1 = -a - 3*w + w, 2*a - 5*w = -16. Calculate a*h(n) - 2*t(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = 2. Let f(v) = 2*v**2 + 7*v + 4*v**2 + 0 + 5 - 3*v**a. Is f(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 4. Let j be m(-4). Which is the smallest value? (a) 1\/5 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 + 205. What is the nearest to -2 in -4, 2\/11, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 134. Let w be f(35). Let n(j) = -3 - j**3 + 7*j + 0*j**3 - j - 5*j**2. Determine n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 (base 10) in base 7?\nAnswer: -1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.18069 times -9\nAnswer: 1.62621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/7 + 81*c**2 + 14964*c\/7 - 9856 = 0.\nAnswer: -539, -32, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*v - 1823*v + 136 - 136.\nAnswer: -3124*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*(z**(-7\/4)\/z)\/z)\/(z\/z**(-2\/5))**(1\/31) assuming z is positive.\nAnswer: z**(-1113\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30247658 and 21964.\nAnswer: 1028420372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2291\/3 - -45973\/60. Calculate the common denominator of 85\/18 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/8*13 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8*1*(-32)\/12. Solve b*j = 16 - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 0*j = -j. Solve j = l + 5*k + 5, -3*l = -9*k + 4*k - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/39696 and -113\/66160.\nAnswer: 198480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4\/5 - 15562*k**3\/5 - 358279*k**2\/5 - 2742512*k\/5 - 1396416 = 0.\nAnswer: -8, -7, 15585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 43 (b) 1\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -38*r + 671. What is k(7)?\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-16))\/((-3)\/(-12)). Is x != 8\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 310 - 85 = 2*q, 375 = -2*q + 3*l. Let g = q + 1563\/8. Solve -1\/2 - g*u + 1\/8*u**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, 0.6, -2\/15, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(2\/(-3)*2343\/66).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1665 + -2885. Round d to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 78. Let f be q(-20). Does 6 divide (1 - f) + (-215)\/(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 1304277 = 459153. Is 4\/(-12)*x\/(24\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/3 + 99*j. Let s(c) = 178*c**2. Calculate s(m(z)).\nAnswer: 712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.0431 times 3?\nAnswer: -60.1293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 340829 (base 10) to base 3\nAnswer: 122022112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -152*z + 2. List the prime factors of w(-3).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 6)*(6 - 6 + r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 - -636088.20696.\nAnswer: 636153.20696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -1\/4*l**4 + 1\/2*l + 5\/6*l**3 - l**2 + 132. Factor v(q).\nAnswer: -(q - 1)**2*(2*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.12 (b) -54 (c) 93 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375954999 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: What is 463 minutes before 6:31 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 12. Let j be s(-6). Let k be (42\/(-41) + 1)\/(j\/72). Which is the closest to 0.1? (a) 0.5 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-20) + (-2)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -203. Let b(f) = 3*f - 3. Let t be b(0). Suppose 0 = -u - 0 - 1. Sort 3, t, u, c in decreasing order.\nAnswer: 3, u, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwi when three letters picked without replacement from {w: 1, l: 2, r: 1, i: 2, y: 1, q: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f**2 + 3*f - 1. Let o(u) = -11*u**2 + 4*u - 1. Calculate 2*k(p) - 3*o(p).\nAnswer: 9*p**2 - 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -1.2. Let s = -0.6 - o. Sort -4, s, -0.2 in increasing order.\nAnswer: -4, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**5))\/y**(2\/11)*y\/(y**(-9\/2)*y)*y*y*y**(-7)\/y assuming y is positive.\nAnswer: y**(51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 4*h**3\/3 + 50*h**2 + 2*h - 56. Determine u(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 1396*w + 19194. Determine r(-218).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j - 8 = -3*f, -2*f - j = -3. Let l(w) = -10*w - 2*w**2 + 11 + w**f - 5 + 8. Is 2 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8175 (base 11) to base 13\nAnswer: -4c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 3*t**2\/2 + t + 1. Suppose -2*d + 5*d - 15 = 0. Suppose 6*w - d = 1. Give b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8745083 is divided by 1808.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1464, 1472, 1496, 1542, 1616?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 707 or 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 45*n**4 - 135*n**3 + 135*n**2 = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1548, 3109, 4682, 6273, 7888, 9533, 11214?\n\"Answer: a**3 + 1554*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 31. Let j be 8\/30*c\/(-18). What is the second biggest value in j, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + ((-9)\/(2\/(-4) - 1) - 5). Is k < -8\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -810?\nAnswer: -1\/270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-1)\/3)\/((16112\/5244)\/(-53)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 5*i**6\/2 - i**5\/5 + i**3 - 56*i + 103. What is the third derivative of t(v) wrt v?\nAnswer: 900*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 301*a**3 - 6*a**2 - 42*a + 18. Let m(x) = -1201*x**3 + 25*x**2 + 170*x - 71. Let s(j) = -25*h(j) - 6*m(j). Find the second derivative of s(q) wrt q.\nAnswer: -1914*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -91 in descending order.\nAnswer: 2, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 22 = 5. Suppose 3*n = 13 + t. What is the highest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*x + 23 = 38, -3*p = -5*x - 25. Factor -8\/7*i**2 + p + 4\/7*i**5 - 4\/7*i + 0*i**3 + 8\/7*i**4.\nAnswer: 4*i*(i - 1)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (27 + -25 - -18).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 2, q: 3, c: 1}. Give prob of sequence cj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -7.87.\nAnswer: -0.4722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 3*k + 8*k + (1 - 3 + 0)*(-2*k - 2*k + 3*k) + 11*k - 51 + 51.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 4*q = -390. Let n(z) = -z**3 - 14*z**2 + 17*z - 30. Let w be n(-16). Calculate the highest common divisor of w and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -8475.\nAnswer: 14\/8475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148031 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1512435\/22872229 - -2\/88997. Find the common denominator of x and -31\/10.\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {u: 1, p: 1, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.841006 decades in centuries?\nAnswer: 0.9841006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3 - 4. Let m be -5 + (-414)\/(-3) + -2. Let n = m - 110. Calculate the highest common factor of t and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/((-8)\/30)*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 188993+-0.935\nAnswer: 188992.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6737*m + 6736*m + 4*u - 31, -34 = -2*m - 4*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/10 and -25\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/(-5)*0. Let x(g) = -g**3 + 2*g**2 + 4*g. Let t be x(3). Solve l + t = -a*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 3. Let l = 3 + 4. Let j be h(l). Solve -5*g - 3*f = -6, 10 = -4*g + j*f + 34 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-40))\/(1\/256). Differentiate x*u + 185*u - 377*u + u**3 + 14 wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 47*y**2 - 50*y + 100. Let z be w(48). Solve 4*x + 4*t = -x + 19, 1 = -x + z*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399.9 + -396. Let w = -60845.405 + 60841.5049787. Let r = w + t. What is r rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/6, 1\/37, -4, -12\/5, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 5*i - 33. Let j be d(-11). Suppose 0 = -0*g - 3*g + j. Suppose g = 4*t + 52. Solve -6*p + p = -t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 5*r + 5. Let x be d(5). Let n(y) = -x*y - 3*y - y**2 + 0 + 4 + 4*y. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1857 divided by -619.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72369 (base 10) in base 11?\nAnswer: 4a410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-234)\/(-24))\/(-13))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.2\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(156)\/sqrt(12) + -4)*4 + 5)**2.\nAnswer: -88*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 2.\nAnswer: -3, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3200)\/(-10400) + (-2118)\/39.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*s - 2 + 4, -p + 5*s = 6. Let y(i) = -9*i**3 + i + 2. What is y(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v**2 + 18050*v - 72186. Determine x(4).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(27))*1 + sqrt(324)\/(-6*sqrt(192)).\nAnswer: 23*sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uot when three letters picked without replacement from nauonmt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5222 - 1.1222. What is the closest to n in -11, 3\/10, 0.4, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1688? (a) 0 (b) 2\/11 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 7*i**2 + 7*i**2 + (-3*i**2 + 0*i**2 + 2*i**2)*(-10*i**2 - 5*i**2 - 2*i**2).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*j**4 - 2*j - j**3 - 3 + 251*j**4 + 2*j**2 - 598*j**4 to the form m*j**4 + v + n*j**2 + q*j + f*j**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/16)\/(((-15)\/4)\/(-5)). Suppose -3*h + 8*h = 2*s - 18, 0 = s + z*h. Solve -s*c = 3*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4654)\/182 + 25)\/49)\/((-2)\/7).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + 34. Let m = 5174408.6469809 + -5174647.647. Let q = y + m. Round q to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 3. Let f(s) = s - 1. Let y(x) = 4*f(x) - p(x). Let k be y(4). What is the highest common divisor of 49 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3300 = 657*b - 652*b. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -88*x**2 + 2*x + 55. Let b(q) = -2 + 12 - 3*q - 9 - 3 + 4*q + q**2. Let v(p) = 2*b(p) - y(p). What is the first derivative of v(l) wrt l?\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.494117 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 33*r**2 - 18*r + 38. Suppose -t - 5*t + 9*t - 48 = 0. Calculate h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48129 or 48125?\nAnswer: 48129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u - y + 176, 0 = -3*y - 12. What is the greatest common divisor of u and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.013 - -0.013. Which is the second biggest value? (a) i (b) 4.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10182598?\nAnswer: 2, 881, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 22*h**2 + 25*h - 14. Let p be q(-23). What is the least common multiple of (156\/p)\/((-2)\/30) and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5051, 5029, 5007, 4985, 4963?\n\"Answer: -22*a + 5073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279324.\nAnswer: 2, 3, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52226737 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19158.52 litres in millilitres?\nAnswer: 19158520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133.8 + 1.2. Let q = j - 134. Which is the nearest to -0.3? (a) q (b) -3\/8 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 7*p + 4. Suppose 4*s - a + 16 = -71, -5*s = 5*a + 115. Let q be (-4)\/s + 237\/(-33). What is the units digit of k(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484255 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72395 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*4.6\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4721228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2664 - -2668. Solve 8 = r*q + j, 66*q + 2*j = 62*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1273 (b) -0.5 (c) 0 (d) -7 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:13 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -3. Let o = 44751494 + -44751490.00000024. Let n = h + o. What is n rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 2.3 (b) -6\/7 (c) -4 (d) 0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (12 - 2 - (-48 + 64 + -22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -92\/2530565?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 22 = 5*r, 4*r + 22 = r - 4*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/7 + 54*v**3\/7 + 429*v**2\/7 + 1096*v\/7 + 720\/7.\nAnswer: (v + 1)*(v + 4)**2*(v + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7259)\/35 - -2 - 2\/(-5). Let g = x - -70. Let d = -29 - g. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -22*d + 197. Let k(p) = 23*p - 176. Give -8*h(s) - 9*k(s).\nAnswer: -31*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8850 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6617593 to the nearest integer?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 4599 = -1239. Calculate the least common multiple of z and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -0.106\nAnswer: 0.00424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7))**22 assuming n is positive.\nAnswer: n**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193*b**6 - 5*b**4 - 80*b**3 - 2468613*b**2.\nAnswer: -23160*b**3 - 120*b - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.536519 rounded to 1 dp?\nAnswer: -218.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 31*l**2 + 112*l - 318. Determine y(34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/(-114)*56\/49)\/(4\/(-105))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:45 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(10\/15). Let z(r) = -183*r - 1. Let h be z(w). Suppose -55 = m - h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*h**4*s + 2*h**3*s**2 - 10*h**2 - 3*s**2 wrt h.\nAnswer: -1248*h*s + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-156)\/(-16))\/((-11)\/(-132)). Suppose -600 = -7*g - u. Calculate the remainder when g is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 = -2*d, d + 1 = 2*l - 7*l. Let y be (l + 0)*-1 + -1. Suppose 6*j - 3*j - 39 = y. What is the greatest common divisor of 52 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 13*m - 1. Determine d(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11749265.\nAnswer: 5, 11, 213623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-64)\/56)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -92 - 51 - 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 342, 516, 692, 870, 1050?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 4*i - 4*i. Let d(p) = -5*p**2. What is s(d(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 98 + 248 = -5*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -226?\nAnswer: -7\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15834 + -54?\nAnswer: -15888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggrrgrrrggrrggggrggr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149711362 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 21 = -5*z + 6, 0 = -z + t - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 1. Let t(c) = 2*c**2 + 3*c + 3. Let d(n) = -6*n**2 - 10*n - 10. Suppose -40 = -136*o + 138*o. Let g(a) = o*t(a) - 6*d(a). What is z(g(b))?\nAnswer: -20*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1513052 (base 8) to base 9\nAnswer: -727110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -39*o - 4. Let d be f(-5). Suppose 189 = 19*s - d. Calculate the least common multiple of s and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 20*z - 132 = 0. Suppose 36 = -b + 5*c + 87, -3*c = -z. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 52dd93?\nAnswer: 52dd9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423697\/126 - -23592\/7. Let d = -288\/71 - 883\/710. What is the common denominator of d and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Let o be t - (-3 - (0 - 3)). Suppose o*q = q. Let i(u) = -u**3 + u**2 + u + 11. Determine i(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 10:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*y + 14, -24 = -4*s + 2*y - 5*y. Which is the fourth smallest value? (a) -5 (b) 1\/9 (c) s (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59336949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/258 and (4 - 11) + (-4 - 7955\/(-690))?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwtw when four letters picked without replacement from {t: 4, w: 5, k: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110000010100110 (base 2) in base 5?\nAnswer: 12414141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 - 9*q**2\/2 + 18*q - 11. Let f be s(8). Suppose -f*m + 5*m = -20. Solve -2*j = -m + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1983.2812 and 0.03.\nAnswer: 59.498436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -192.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5 - 3. Let h be (-39)\/26 + (-18)\/k. Let w(f) = -f**3 - f**2 + 2*f - 4. Let x(m) = m**2 - m + 3. Calculate h*w(q) + 4*x(q).\nAnswer: -3*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 2*q**2 - 6*q + 2. Let d be c(6). Let i = 898 + d. Suppose -68 = 4*y - i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/4 + 224\/110. Let g(u) = u**3 + 6*u**2 - 50*u - 96. Let t be g(-10). What is the smallest value in t, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/23, 1410, -1.1 in ascending order.\nAnswer: -1.1, 2\/23, 0.2, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvhvzvhkh. What is prob of picking 1 v and 2 k?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27223, 109219, 245973, 437491, 683779, 984843, 1340689, 1751323?\n\"Answer: u**3 + 27373*u**2 - 130*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 389*a**3 + 7*a**2 - 20*a + 12. Let q(z) = -778*z**3 - 13*z**2 + 40*z - 22. Let r(m) = -11*c(m) - 6*q(m). What is the third derivative of r(l) wrt l?\nAnswer: 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 37*n**2 - 6*n - 39. What is the remainder when j(-37) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -243*c + 255*c - 600. What is the highest common factor of c and 12300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 1655951.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(6*sqrt(8)\/sqrt(4)))\/(-6*sqrt(147)*1).\nAnswer: -sqrt(3)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (645\/38)\/(21\/336*-8). Which is smaller: -35 or p?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 15. Suppose 5*w - 5 = 0, -o*h - 13 - 6 = -4*w. Is h bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*p - 59. Suppose -6*n = p - 71. Is ((-379)\/4)\/((-2)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4\/6 - 570*g**3 - 285490*g**2\/3 + 788880*g - 4788640\/3.\nAnswer: -5*(g - 4)**2*(g + 346)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - -1) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10569 = -1887. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707a (base 11) to base 9.\nAnswer: 13808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/1269)\/((-6)\/27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.703589 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 + -153. Suppose -3*k - 3*h - 2 = -455, q*k = -h + 604. Calculate the remainder when k is divided by 60.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.48 - 580267550.\nAnswer: -580267513.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 265 = 3*m - 0*m, 0 = 5*m + 3*i - 453. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7163343 and 92026.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 543946 + -342685871\/630. Calculate the common denominator of -46\/567 and l.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 1 + -2 + 4 + (sqrt(1900)*1 + sqrt(1900) + sqrt(1900) + sqrt(1900))**2.\nAnswer: 30405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*x + 7 = 0, x = l - 8 + 2. Suppose -2*f + 14 = 5*f. Let k(z) = 2 + 9*z - f - 24*z. What is k(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and (-15)\/(-6)*(-416)\/(-65).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + -107)\/(2 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1840 - 1310. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 10*f - 5. Let u be x(11). Solve 0 = -3*t + m + u, -6*t + 3*m + 11 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 4*f - 1. Calculate the remainder when t(-8) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 16. Let i(d) = -d**3 - 7*d**2 - 3*d - 21. Let r be i(-7). Suppose r*b + x*b = 5*k - 169, 0 = -5*k - 2*b + 193. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**39)**(1\/16)*((d*d**32*d*d)\/d)\/(d\/(d**(-18\/13)*d*d)) assuming d is positive.\nAnswer: d**(7499\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2846*l**3 + 276 wrt l?\nAnswer: -8538*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(12\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 0.6?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*l = t - 565*l + 31, 5*t + 2*l = 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 16. Let c = -56 - -35. Let d be (-36)\/c + 2\/v. Calculate the greatest common divisor of d and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/24)\/((-205)\/10). Let v be (-28)\/(-369)*312\/(-40). Let z = v - n. Which is the nearest to -4\/7? (a) z (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1311265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -38, -20 in descending order.\nAnswer: -6, -20, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, m: 3, j: 3, b: 2}. Give prob of sequence bpb.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 9:31 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*w + 23, -5 = -2*w - 3. Let t(a) = 7*a - 10. Is 8 a factor of t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + 23*w**4\/12 - 4*w**3 + 2*w**2 - 226*w. Let i be t(-24). What is the closest to -0.1 in i, -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45067 is divided by 1296.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*w**3 - 2*w - 10 + 2*w - 166*w**3 with respect to w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*l - 103 + 290 = -99 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136947 - 52511. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 6 (b) -9 (c) -74 (d) 0 (e) 0.4 (f) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 + -173. Suppose 0 = 2*q + 2*r - h, -4*r + 18 = q - 17. Suppose 5*w = 5*s + q, 5*w + 4*s = -3 + 38. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 2*u - 2*u**2. Let l(k) be the third derivative of k**7\/1680 + k**5\/60 + 2*k**2. Let o(h) be the third derivative of l(h). Determine a(o(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -156 and 8\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 - 7. Let k = 257 + s. Calculate the highest common divisor of k and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -71*u - 918500. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)\/(d**(-32)*d*d))**(-2\/49) assuming d is positive.\nAnswer: d**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 9:20 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 18. Let g = v + -83. Let r = -37 - g. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -13145507?\nAnswer: -3943652.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 151109965 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + -7 + 1 + 0 + 93 + (66 - 161).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1796965 and 5.\nAnswer: -8984825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -0.25. Let x = 2063 + -2062.9. What is the biggest value in -4, x, 6, l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011409507 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.35 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -590 + 1117. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-10)\/2)*536\/(-16). Let p = t + -88. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*7\/(-140). Let v(k) be the second derivative of -o*k**4 + 0 + 2*k - 1\/15*k**3 + 2\/5*k**2. Determine n so that v(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.27018 litres?\nAnswer: 89270.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 44. What is the first derivative of b + 4 - 1 - 8 + 19*f**4 wrt f?\nAnswer: 76*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226366, -905475, -2037322, -3621907?\nAnswer: -5659230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(833) + sqrt(833) + 3 + -2)*1)**2.\nAnswer: 1008*sqrt(17) + 119988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.6 - 9. Let u = -2.9 + 3. What is the nearest to -0.1 in q, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15696*t**2 - 9*t + 710448.\nAnswer: 31392*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 3*u**2 - 31*u**3 + 2*u + u**2 + 6*u**3.\nAnswer: -25*u**3 + 4*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3979416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 1. Suppose -13*d - 61 + 256 = 0. Let z = d - 27. Let u be -3*(-3 - z\/3). Calculate b(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.7581 times -1.22?\nAnswer: 92.424882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3 - 4400*m**2 + 94948*m - 90552 = 0.\nAnswer: 1, 21, 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let i(a) = -a - 1. Let o(z) = -i(z) - v(z). Let d be o(2). Suppose 9 = 3*n + w, n - 2*n = 5*w - 3. Sort d, -5, n.\nAnswer: -5, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000356 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0779 + 7281116.143.\nAnswer: 7281116.2209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-99)\/12)*-3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 52 = -4*y - 2250, -2*j + 4*y = -1540. Let q be j - (-4 + (-25)\/(-5)). Suppose 8*s - q - 71 = 0. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4876905742?\nAnswer: 2, 7577, 321823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f + 17 = 4*c, c + f - 5 = 0. Calculate the greatest common factor of c and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 - a + 12. Determine d(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**3 + 2*y**2 + 19*y + 7. List the prime factors of u(-5).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 3830*a + 73113. Determine y(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 3. Let k be 393\/21 - (-6)\/21. Suppose -k*l = -b*l - 818. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 38*a**2 + 402*a - 841. Calculate b(21).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.0108um to kilometers.\nAnswer: 0.0000001070108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -1684, -2554, -3424, -4294?\nAnswer: -5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*k - 99 = 0, -4*t + 88 = -k - k. Suppose -t*p = 20 - 20. Solve -3*g - 2*g + 20 = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)*z*z\/z**(-2\/17))**(43\/4) assuming z is positive.\nAnswer: z**(8557\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 18. Let b(l) be the third derivative of -l**4\/24 - l**3\/6 + l**2. Let n be b(i). Solve h + h + n = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51512 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/14)\/(-1)*1\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2 + 5. Let h = -1262 - -92124\/73. Is g <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 331396 + 1139675. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**6\/15 - 8*o**5\/25 + 3*o**4\/5 - 8*o**3\/15 + o**2\/5 - 14. Factor m(f).\nAnswer: 2*f*(f - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619705?\nAnswer: 5, 41, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -128*o + 65*o + 71*o. Let a(r) = 5*r**2. What is a(b(k))?\nAnswer: 320*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 8*d = -16. Solve d - 4 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575018 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 395491157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -106, -243, -436, -685, -990?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 270*v + 106. Let d be i(-2). Let x = -2158\/5 - d. Determine u so that -8*u**2 - x*u**3 - 4\/5*u + 24\/5 = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001276607 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhl when three letters picked without replacement from utphl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 15, n - 2*n = 4*f - 11. Let r be (4\/(-6))\/(f\/18). Let x = 14 + r. What is the lowest common multiple of 14 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/10, -13\/3, 1\/13, -4\/5?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(180))*5 - (-5 + 2*sqrt(180)))*-4 + -4 + (1 + sqrt(180)*1 - ((2*sqrt(180) + sqrt(180))*-4 - sqrt(180))) + 5)**2.\nAnswer: 528*sqrt(5) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.17, -0.5, 6, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151700102 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -14\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*i**3*j*k**3 - 2*i**3*k**2 - 392*i*j*k**3 - 2*i*k**3 + 202*j + 384*k**2 wrt k.\nAnswer: 1698*i**3*j - 2352*i*j - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-44)\/13) - 6\/33. What is the tens digit of x\/(275\/(-92) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c + 76505 = 5*a + 72*c, -c + 15304 = a. What are the prime factors of a?\nAnswer: 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from ccssscsscshhscsshch?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 + (-1)\/(-1))\/(1\/30). Let n be -9*(p\/(-9))\/(-7). Suppose 5*t + 56 = 3*c - 124, 2*t - n = -c. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712357012 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7343, -15034, -22725, -30416, -38107?\nAnswer: -45798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.05 * -0.3\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.4, 1.\nAnswer: -21, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -135?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/4416993 and -53\/1051665.\nAnswer: 22084965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4785 and 293799.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 24*o + 211. Let r be f(-6). Let j(l) = -5*l - 8. Let a(v) = v + 1. Let y(s) = -6*a(s) - j(s). Give y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 - 10*a + 17. Let y(v) = -v**2 + v - 1. Let p(r) = -l(r) - 4*y(r). Let t be p(-9). Suppose -155 = -t*f + 69. Are 16 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phqh when four letters picked without replacement from {h: 10, p: 5, q: 4}.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c. Let g(b) = -263*b**2 - 201*b**2 - 144*b**2 + 167*b**2 - 39*b**2. What is g(d(t))?\nAnswer: -4320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 9*v**2 - 12*v + 14. Calculate g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 232*g + 4. Let q(n) = -n**2 - 115*n - 2. Determine 6*p(k) + 13*q(k).\nAnswer: -k**2 - 103*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22425.233 rounded to the nearest 100?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25285342.\nAnswer: 2, 47, 268993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 4*y**5\/15 + 2*y**4\/3 - 17*y**3\/6 + 14*y**2 + 4. What is the remainder when 53 is divided by u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 - 5*y + 4. Let j be (-2)\/(-11) + (-4)\/22. Let t = j + 3. Suppose 0 = t*i + 14 - 2. What is g(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 54 - 2 = 0. Let k = -23 - x. What is the smallest common multiple of k and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 != -5719\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 8078 - 6*x + 4054 + 4024.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2. Let z(u) = 31*u + 56. Let l(q) = -6*v(q) + z(q). Is 15 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.50377 and 0.3.\nAnswer: -0.451131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -591*y + 582*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i. Let m(h) = 43*h. Let u(s) = 7*c(s) - 2*m(s). Let k(n) be the second derivative of -55*n**3\/6 - 2*n. Calculate u(k(f)).\nAnswer: 110*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.3 + -93.272. What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 33085?\nAnswer: -33088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Sort 1, t, 3 in increasing order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -72. Suppose -3*a + l*a = 4*b - 629, -b + 1 = 0. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/50)\/7 + (-15 - 351\/(-26))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -68 - -19 - (0 - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.35 - -32.349998217. Round k to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7338753 kilograms in tonnes?\nAnswer: 0.0007338753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88231.3 micrometers to millimeters.\nAnswer: 88.2313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(3*k**4 + 5*k**3 - k**3 - 2*k**4).\nAnswer: 2*k**4 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-252760.\nAnswer: -101104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 109*l. Let w(m) be the second derivative of m**3\/6 - 97*m. Calculate a(w(y)).\nAnswer: 109*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (5 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*d**3 + 133 + 100 - 414 + 88 + 93.\nAnswer: 75*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 less than -9616?\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.87 + -54.87. What is the third biggest value in 5, -2\/3, 1\/4, j, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -5, 25, 75?\n\"Answer: 10*f**2 - 20*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003501 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**3 - 97*n**2 - 3985*n - 81838. What is q(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -3\/4, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1051450951 + -325\nAnswer: 1051450626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/50 and 8\/(-40) + (-55)\/(-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1598095, 1598421, 1598747, 1599073, 1599399?\nAnswer: 1599725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 77\/2 of a decade?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3741 - 3742. What is the closest to a in 2, 1, 9, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17157, 68607, 154359, 274419, 428793, 617487, 840507, 1097859?\nAnswer: 1389549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120919.1 plus -4502260?\nAnswer: -4623179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16800 = -262*a + 282*a. Calculate the greatest common factor of a and 4305.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23103 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 18\/5*c**5 - 2\/5 - 4\/5*c**2 + 6\/5*c**4 - 28\/5*c**3 = 0. What is c?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:04 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 13 = 8*o. Let t be o*2\/1*6. Suppose 3*g - 1815 = -t*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/403 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2*10\/6)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10548.31 - 38227969?\nAnswer: -38217420.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22 and -0.15.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24\/20 - ((-2009)\/(-1470) - 2\/(-15))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12396c (base 14) to base 16\nAnswer: -9886c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 17584567?\nAnswer: -8\/17584567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -9*n + 7*n. Let t = 162 - n. Are t and -26\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2404503 divided by 8.\nAnswer: -2404503\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 26*w**2 - 7 + 5 to the form n + y*w + t*w**2 and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/9 + 1504*k**3\/9 + 180296*k**2\/9 + 1369664*k\/9 + 896896\/3 = 0 for k.\nAnswer: -98, -4, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10394*t + 10392*t = 2*d - 20, 3*t - d = 22 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161829116 to the power of 1\/2, to the nearest integer?\nAnswer: 12721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, 0.3, 1\/18, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3274 in 4, 1\/4, 4\/35, -43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 17. Let j be r(-15). Suppose -4*q - j*s = -2*q + 4, -3*q - 4*s - 11 = 0. Suppose 0*o - q*o = -9. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = -9*w - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 3, -28, -95, -210, -385, -632, -963?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + u + 7. Let q be 22 + -20 + (1 - -3). Let w(s) = 3*s**2 - s - 6. Give q*c(n) + 7*w(n).\nAnswer: -3*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7203\/95 or 0?\nAnswer: -7203\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by -1164.\nAnswer: -113\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*2238837\/(-40892).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0841206 kilometers to centimeters.\nAnswer: 8412.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 - 1007*s**4 + s + 2966 wrt s?\nAnswer: 20*s**3 - 12084*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/38)\/((650\/30)\/(-13)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 23*t**2 + 13*t - 19. Let y be a(23). Suppose -5*o + 55 = -y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 349*f - 1550*f + 1203*f.\nAnswer: 2*f - 44","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a + 2*h + 18, 1683*a = 1685*a + h - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -29. Suppose -5*f - 31 = -2*g + 69, i*f = -6. What is the remainder when g is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100 (base 2) to base 14\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207403040.\nAnswer: 2, 5, 13, 99713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 16*d**2 - 20*d - 3. List the prime factors of m(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvzs when four letters picked without replacement from vrjjsskzz.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -19, 5, 1019.\nAnswer: -19, 5, 83, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p. Let v(w) = 1. Let f be 3 + -2 + (1 - 1). Let l(h) = -f - 3 + 6 - h. Let c(g) = l(g) - 2*v(g). Determine c(d(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 34. Let x be (-10)\/(-945)*69 - q\/49. Factor x*z - 2\/9*z**2 - 2\/9.\nAnswer: -2*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241268 divided by -120634.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-624)\/1365 + (-185)\/25 + 7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262281 is divided by 2027?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1301231 (base 4) to base 3\nAnswer: 100222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1668 and -125\/18.\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from fctuz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**3 + y**2)*(2*y**2 - 5*y**2 + 2*y**2) + 2*y**5 - 2*y + 2*y - y**5 + 3*y**4 - 1 + 1.\nAnswer: 3*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let h(f) be the first derivative of 7\/3*f**3 + 0*f**2 + 2 + 0*f. What is h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:15 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 16) to base 9.\nAnswer: -18856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18237445937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14626)\/(-497) - 300\/10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 8474214.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 11*c - 2. Give b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 67 - -6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*i**3*r - 11*a**2*i*r*s - 12*a**2*i + 3160*a*i**3*r - a*i**2*s - 4*a*s - 2*i**3*s wrt i?\nAnswer: -18*a**2*r + 18960*a*r - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:53 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:45 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/28 + 38\/14. Factor 1 - v**g + 3*v**2 + 3*v**2 - 8*v + 3 - v**2.\nAnswer: -(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(-57)*(-48)\/440?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232232 (base 4) in base 8?\nAnswer: -15656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3100 and 44500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpkkdnbpo. What is prob of sequence dop?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, -3\/179, -2?\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2. Let v(f) = -15568657*f. Calculate v(u(d)).\nAnswer: 93411942*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 85, 111, 155, 223, 321, 455?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(-2314*j**3 + 414 + 4627*j**3 - 2315*j**3).\nAnswer: 2*j**4 - 414*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0875243 millennia?\nAnswer: 1050.2916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 4*h + 34. Let z = -23 - h. Calculate the least common multiple of 27 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 149301939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (3 - 7 - 7)) + 42 + (-1 - -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1017\/(-36) - ((-4)\/10 + -12 + (-2430)\/(-200)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034969 to five dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -12, 2 in increasing order.\nAnswer: -12, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a7 - aa?\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6610 + -33052\/5. Suppose 4*u = 2*u - 8. Which is the third smallest value? (a) u (b) 1\/6 (c) l (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = 2*b, -2*b - 10 = -4. Let a = 15 - s. Calculate the lowest common multiple of 8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.075 + -64. Let p = -3.075 + r. What is the second biggest value in -5, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 80, 2 in descending order.\nAnswer: 80, 2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1\/2, -9 in decreasing order.\nAnswer: 4\/7, 1\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -50*d + 625*d**3 - 2*d**2 - 2 - d**2 + 45*d. Let p be u(-1). Find the common denominator of p\/(-300) - 2\/(-6) and -95\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 7*z - 16. Let a be t(5). Let g(h) = -2*h**3 - 8*h**2 - 8*h + 2. What is the hundreds digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002210 (base 4) to base 11.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/31095 and -131\/1840824.\nAnswer: 9204120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**47*a**13\/((a**(-12)\/a)\/a) assuming a is positive.\nAnswer: a**309","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 46.7\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73416 (base 12) in base 10?\nAnswer: -150930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2498 + -2488. Solve -3*p - 5*s = q, -s + 1 = -p - 5*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*s - 6 = 0, 0 = 2*v + s - 2 - 6. Let w be (-2 - (0 + 1))*-3. Suppose -v*o + 5*o - w = 0. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273485 = -49*y + 275641 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18198*h**2 - 704 - 12375*h**2 + 97 with respect to h.\nAnswer: 11646*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - g = 437, -3*z + 3*g + 265 = g. Suppose 3*t - z = -5*l, 2*t = -5*l + 70 + 18. Suppose 2*x = 3*x - l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 3.\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c + 12 = -119*c - 153 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let t(l) = -4*l**2. Let i = -13 + 7. Let q(c) = i*s(c) + 2*t(c). Let n(a) = 3*a + 3*a - a - 4*a. Give q(n(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 2*c - 1. Let m be o(2). Let l be ((-1470)\/56)\/(m\/72). Round l to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -74*k**4 + 4*k**3 - 6*k - 9. Let l(q) = -75*q**4 + 3*q**3 - 6*q - 10. Let w(j) = 4*l(j) - 3*v(j). Find the second derivative of w(a) wrt a.\nAnswer: -936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 55*j + 25. What is the remainder when g(-23) is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 9 + 4 + 1. Let h = -2 + -1. Let b(s) be the third derivative of -s**4\/24 + s**3\/3 + 2*s**2. Calculate h*j(k) - 5*b(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 413 - 409. What is the tens digit of s - 22\/(-33)*(-57)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310064*f**3 - 39*f - 1881 wrt f.\nAnswer: -1860384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2024107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 25053.6.\nAnswer: -75160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 - 1447030*t**2 - 11576000*t - 23151840 = 0 for t.\nAnswer: -289398, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26061035, 26061036, 26061037, 26061038, 26061039, 26061040?\n\"Answer: p + 26061034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from weeowcweuxc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104224285\/51 + 2213516533495\/1083138. Let h = 128\/259 + p. Let r = -3\/41 + h. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:43 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 165*198\/179685*(-2)\/1\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 30 + 24. Let b(n) = -n**2 - 8*n - 7. Let i be b(-7). Suppose i = -a + g*a - 130. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let d(s) = -4*s - 2. Let f(o) = -d(o) + 3*p(o). Let a be f(4). Let k = 20 - a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**8\/672 - i**7\/210 + 2*i**2. Factor b(l).\nAnswer: -l**4*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 247*h + 1075. Let l be c(-119). Solve -5*w = -20, 3*w - 20 = -l*m - 0*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)\/(c\/(c\/c**(-3\/5)))*c**(1\/5)\/c*c**1\/c)**44 assuming c is positive.\nAnswer: c**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -900, -6783, -22650, -53493, -104304, -180075?\nAnswer: -285798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3001337164763 + 0.02\nAnswer: 3001337164763.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -285545106 rounded to the nearest 100000?\nAnswer: -285500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275883 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Suppose -13 = -a*z + z. Let b = -8 - z. Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(9*z + 8*z - 15*z) - 1172 + 589 - 36*z + 599.\nAnswer: -34*z + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187603916 is divided by 15950.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -43, 4, 13, 24 in ascending order.\nAnswer: -43, -15, 4, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-33)*(-3)\/(-4). Factor -z*d**2 - 1\/2*d**4 + 3\/2*d**3 - 3\/2*d + 1.\nAnswer: -(d - 2)*(d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j + 8. Let n(r) = 7*r - 4. Let h(k) = -2*k. Let l(z) = -10*h(z) - 2*n(z). Suppose 697*i = -2212*i + 17454. Calculate i*l(u) - 5*o(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 4 + 4 + (22*d - 16*d + 25*d)*(-4 + 3 + 2) to x*d + u and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/66 and 131\/726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2) + (-6)\/864*-424.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131647062 + -2?\nAnswer: -131647064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5 - 262*b**4 - 4794*b**3 - 19370*b**2 - 25396*b - 10560 = 0. What is b?\nAnswer: -110, -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(18\/(-18))\/(-3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398348299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -168424158, -336848316, -505272474?\n\"Answer: -168424158*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -i + 2*w, 2*i + 3*w - 1093 = 4*w - 1091 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4890 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 4. What is the remainder when 17 is divided by y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/3 - 1\/3. Suppose 5*k = i*f + 20 - 81, 2*k = -10. Let q be 3\/(f\/6) - 2. Which is bigger: q or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2448)*-2 + 1 - (sqrt(2448) + 4 + (2*sqrt(2448))**2 + (sqrt(2448) - (sqrt(2448) + -1)) + -5).\nAnswer: -9795 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176956*8.54.\nAnswer: -1511204.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 7. Suppose 0 = 277*k - 289*k + 48. What is h(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321447?\nAnswer: 3, 7, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from lkwkkkwkwwkkkwwkkww.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.03467 - 0.03467. Let h = 61 - 63. Let x = 661\/4 - 164. What is the closest to h in u, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(320) + 3 + sqrt(320) + 1 + 4 + -2 + sqrt(320) + 2 + 5)**2.\nAnswer: 864*sqrt(5) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from eecacaacaeeae.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 683 = -35*p - 62*p + 2843 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 11137*h + 22274. Give c(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 - 12*l - 8. Let w be a(-10). Solve 3*f = -3*o + w, 3*f - 5*o - 15 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12396052 divided by -2\nAnswer: 6198026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276051 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(7\/63). Let p be -5 + 7 - -2*o\/(-2). Suppose -p*r = -14*r - 54. Is -7 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*p + 14, p = -3*h - p + 10. Suppose -l + 15 = h*l. Suppose o - 3*z = 12, z + z + 64 = l*o. What is the highest common factor of 36 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030067141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 + 3418*d**4 - 2910376*d**3 - 17667776*d**2 + 70123520*d + 187580416 = 0. What is d?\nAnswer: -8, -2, 4, 1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*z**2 - 1172*z**2 + 166*z**2 - 402*z**2.\nAnswer: -1878*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21722, -21528, -21334, -21140, -20946?\n\"Answer: 194*f - 21916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 911194837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**3 + 3*h**3 - 4*h**3)*(-1 + 3 - 1) + 2 - h**3 - 2 - 492*h**2 + 492*h**2 - 55*h**3 to y*h + l + m*h**2 + w*h**3 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -393 * -1.24.\nAnswer: 487.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 716897*t**3 - 716923*t**3 - 4 + t**4 - 3*t**2 as y*t + n*t**4 + s + l*t**2 + w*t**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 235*t - 1 - 214*t + 442*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -36, -29, -2?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 382)*-4*(-24)\/(-128). Suppose -2*n - 5*k + 866 = 0, -2*n - k - q + 1138 = 0. Does 39 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 120 = 11*m. Suppose -3*s - 37 = -2*b, -s + 3*b - 2*b = 13. Let z = m - s. Let w(y) = 4*y**3 - y**2 - 2*y - 1. Determine w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 0)\/5 - (5 + (-12 - -28))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) -53 (c) 717\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16*18 + 2\/(-4). Let k = -4 + b. Solve 5*g + 0*g - 15 = k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 790 - 786. Put -10, -0.04, w in decreasing order.\nAnswer: w, -0.04, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*h - 5*h - 8, 5*i + 3*h - 40 = 0. What is the highest common divisor of i and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/2090 and 139\/2640.\nAnswer: 50160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*-1)\/sqrt(5) - 3*sqrt(8)\/(sqrt(4) + sqrt(8)\/sqrt(2)).\nAnswer: -19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -a - 2*u, -7*a + 5*a = 2*u - 232. Calculate the lowest common multiple of 96 and a.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g - 6251 = -29*g for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76280 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11)*s**(-2\/7))**13\/((s**1)**(28\/5)*(s\/(s**(3\/2)\/s*s))\/(s*s**(-2\/9)*s*s)) assuming s is positive.\nAnswer: s**(-25453\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-38 - (-84 - -42)))*61.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 5, i: 3, d: 3}. Give prob of picking 1 f and 3 i.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1092*z**5\/5 - 832*z + 358. What is the first derivative of r(h) wrt h?\nAnswer: -4368*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -4*j, p - j = 4*p + 16. Let u(v) = -v**2 - 7*v + 1. Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 8, -3*o + 5*o - 4*r = 2650. What is the remainder when o is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-42)\/12)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 68*s**2 + 608*s + 509. Calculate a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 9*q + 6*q - 2*q. Let y(g) = 10*g**2 + 7*g. Let t(f) = -3*f**2 - 2*f. Let x(m) = -7*t(m) - 2*y(m). What is x(l(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101212010 - -112?\nAnswer: -11101211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-15))\/(-4) + 75\/((-218625)\/3388).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -0*i + 2*o, -6 = -4*i - 2*o. Suppose 4*m = -j, -3*j + 33 = -i*j + m. Calculate the common denominator of 17\/10 and ((-2)\/(-20))\/(j\/(-530)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-6)\/27 - -1492*(-129)\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3116 (base 8) to base 7\nAnswer: -4464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 254*u**2 + 3884*u + 15840 = 0.\nAnswer: -110, -9, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Suppose 0 = 2*t + 5*u - 35, 245 = t + u + 220. Suppose 5*j - 255 = v*d, 11 + t = j + d. What is the least common multiple of j and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1049 - 1050. Let f be (-6)\/v + 3 + (-55)\/11. Let a(x) = -x**3 + 2*x**2 + 5*x - 2. Let o be a(3). What is the highest common factor of o and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*4\/12*3. Let l = z + 1. What is the smallest common multiple of 12 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*h = 39, 9 = 19*h - 16*h. Solve -t*p - 19*p = -56 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*q + 7, 3*x - 4*q = -q + 9. Suppose -10 = x*r, -4*r = 4*o - 9*o. What is the closest to o in 0.1, -0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 3. Let s be j(-2). Let o = 522 - 137. Suppose -u = 6*u - o. What is the greatest common factor of u and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856875122 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-4)\/(4\/(-1)). Solve -k = -y*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000345292 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 51 = -10*x, 44 = -55*x + 58*x - 5*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 269712 and 0.1?\nAnswer: 26971.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + c - 1 = 0, -4*l + 3*c - 3 = -0*l. Solve l = 2*p + 2*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2652 and -15\/2033.\nAnswer: 5391516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2202 + -251?\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 213835 divided by -7\nAnswer: -213835\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15\/2, -1, -4, -0.689 in descending order.\nAnswer: 15\/2, 4, -0.689, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 11 = -f, 2*f + 135 = -r + 131 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 12 (c) 147 (d) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61503 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g + 3*p = 0, 5*g = p - 24. Let y be ((-6)\/14)\/(3\/g). Which is the second smallest value? (a) 2 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 16*t - 39. Give n(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:55 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:34 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -8. Let c(k) = 1 + 4 - 2*k + 3*k. Suppose -85 = -2*t + 7*t. Let b(q) = -3*q - 14. Give j*b(w) + t*c(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -416.486 and 0.35.\nAnswer: -416.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 11. Give h(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 3 (c) 1546\/651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3 + 1974*c**2 + 81648*c + 525824 = 0.\nAnswer: -32, -8, 1027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*-1 - -1. Let x be 1\/(z + (-2)\/6). Suppose -18*c - 37 = -13*b - 22*c, -4*b + 34 = 5*c. Sort 5, x, b in descending order.\nAnswer: 5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 206759554*v. Let y(a) = 2*a. Calculate y(h(l)).\nAnswer: 413519108*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1533150390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 15642*k**2 + 20342340*k - 122617800.\nAnswer: 3*(k - 6)*(k + 2610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 53 * -101398\nAnswer: -5374094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9033*i**3 - 42211*i**2.\nAnswer: -54198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5172*x**2 + 6*x - 972556 wrt x.\nAnswer: -10344*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.01\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 0 - -6) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 23340629?\nAnswer: 23340629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c. Let m be f(7). Suppose -5*x + 20 + 15 = m. Let w = x - 2. Solve -1 + 3 = -s - w*y, -16 = -5*s + y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-88 + 95 - m + 3*m).\nAnswer: 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*x + 2*x. Let a(j) = j**2 - 3*j + 5. Let k be a(x). What is the highest common factor of 92 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 133. Let m(w) = 2*w + 33. Determine 9*m(u) - 2*v(u).\nAnswer: 2*u + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*b**3 - 6067*b**2 + 12241*b**2 - 6174*b**2.\nAnswer: 265*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290737?\nAnswer: 7, 23, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/5 + 254*h**3\/5 - 6784*h**2\/5 + 2120*h + 10080 = 0.\nAnswer: -2, 4, 35, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g**2 - 3*g**2 - 2*g**2)*((g + 0*g - 3*g)*(-2*g + 2*g - g) - 3*g**2 - 7*g**2 + 5*g**2) to f*g + x + v*g**4 + c*g**2 + z*g**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 1055*p**2 + 3 - 2 + 1058*p**2 to q + g*p + r*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 + -1.6. Let g = b + -0.8. Let m = g + 4.999975. Round m to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66090 divided by -22030\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 64. Suppose -c*j + 83 = a, -10*a + 6*a = 4*j - 68. What is the remainder when -1 + (0 - 1 - -44) is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, -4005013 in descending order.\nAnswer: 0.2, -0.4, -4005013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108903406.\nAnswer: 2, 2083, 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 79408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 3. Suppose 0 = 2*o + 3*x + 30, u*o + 0*x = -x - 31. Let d(j) = j**3 + 8*j**2 - 12*j + 5. What are the prime factors of d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2 - 5*s - 6. Let u(n) = -23*n**2 + 16*n + 17. Let j = -1411 + 1417. Give j*u(h) + 17*v(h).\nAnswer: -2*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 = f, -40 = -4*f - 8*o - 36 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 50. What is the smallest common multiple of a and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 87\/(-35) - 1640\/(-2296). Sort -13, y, -40 in ascending order.\nAnswer: -40, -13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -9*h + 6. Calculate the smallest common multiple of 33 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-9 - -17 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 888.8668091 to two dps.\nAnswer: 888.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -5.33 (c) 3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 12. Suppose 4*s + q - u = -1, 4*s = q - 3. Which is the closest to -0.4? (a) 0.5 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 124, 132, 140?\n\"Answer: 8*l + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352 - 171. List the prime factors of b.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + s = 269, -2*k - s = -135 - 403. Calculate the remainder when 831 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 6}. Give prob of sequence ww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 797\/2 + -407. Suppose 5*k = d - 16, 4*d = -k + 2*k - 31. Let r = b - d. Put -4, -0.3, 8, r in descending order.\nAnswer: 8, r, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 29*i + 59. Let n be a(-10). Suppose -n*s + 58*s = -616. Calculate the remainder when s is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114169.1158936 + -114169.5. Let l = -0.175891 + z. Let a = -0.56 - l. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 9. Suppose -a + 2 = 3*s - v*s, -5*s - 3 = -2*a. What is the first derivative of -8 + a*q + 5 + 1 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 10*v - 2. Let y be x(16). Let g = 1305 - y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20867, 20907, 20973, 21065?\nAnswer: 21183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 481 - 512 - 524 = 0 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**2 - 14 + 10*k**2 - 6*k - 10*k**3 + 10*k + 39 - 5*k to the form o*k + l + r*k**3 + i*k**2 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*c + 4*y - y, 0 = -5*c - 5*y - 45. Let f = -11 - c. Solve f*t - 20 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001100011010 (base 2) to base 13\nAnswer: 5c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(720) + 1)*4 - (-3 + sqrt(720) + 0)) + -3))**2.\nAnswer: 10368*sqrt(5) + 233856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4950 divided by -99?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.822779 litres?\nAnswer: 822.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 - 460 = 50*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*j + 2*h - 122, -j - 4*h + 20 = 0. Let d = j - 21. What is the remainder when 31 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**4 - 2*u**4 - 3*u**4 + (1 - 1 + 2*u**2)*(2*u**2 + 2*u**2 - 3*u**2) + 26*u**3 - 26*u**3 + 55*u**4 - 3*u**4 + 3*u**4 - u**4.\nAnswer: 58*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {l: 12, s: 6}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 164*r + 1079. Let h(m) = 65*m + 540. Calculate -5*h(g) + 2*w(g).\nAnswer: 3*g - 542","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/7, -4216\/5, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = -4*z, -8*z - 5*i + 4 = -9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Suppose -4*u + 8 + 4 = 0, 4*q - 3*u + m = 0. Let h = q - 2. Solve h = -3*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251389.\nAnswer: 3, 7, 107209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.8. Let j = 16 - -10. Let s = -28 + j. What is the nearest to -3 in s, r, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*32\/(2304\/540)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9798277?\nAnswer: 89, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620946908 is divided by 1369.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 31 = -91 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -124. Let q = z + 70.926. What is q rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -89, -153, -253, -395, -585, -829, -1133?\n\"Answer: -k**3 - 9*k**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let y(p) = -228057554*p. Give i(y(t)).\nAnswer: 228057554*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*j + 40. Suppose 3*h + 4*b - 179 = 8*h, -129 = 3*h + 3*b. Let s = h - -57. What is the remainder when s is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 737571?\nAnswer: 7375710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 11 = -2*x, -x + 296 = -q + 283 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12752 by 6376.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -16. What are the prime factors of 5*(a\/(-15))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -497.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(1331))*6.\nAnswer: -66*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2507297 divided by 192869\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-12)\/30)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/c**(13\/5))\/c*((c*c**(5\/7)\/c*c*c)\/c)\/c*(c\/c**(-11\/4))\/c**(-10) assuming c is positive.\nAnswer: c**(1801\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 15*c + 15. Let j be a(-6). Let y = 22 - j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 2, z: 1}. What is prob of picking 1 x, 1 c, and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, m: 8, k: 2, i: 3}. What is prob of sequence imk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**5)\/(((h*h**(-8)*h)\/h)\/h))\/((h*h*h**(2\/7)\/h*h)\/h**(-4)))**(-23) assuming h is positive.\nAnswer: h**(-1242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23706 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(245) - (-1*sqrt(245))**2) - (0 + -3 + 2*sqrt(245)).\nAnswer: -56*sqrt(5) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (700 - 700 - 146*s)*(-3*s - 3*s + 4*s)*(19 - 19 + 13*s).\nAnswer: 3796*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 = -3*r - 15, 0 = 3*r + c - 1. Solve -r*k + 10 = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140335 divided by -1651\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1432 (b) -345 (c) 5 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 21 = -5*j, 0 = 5*n - 4*n - 5*j - 3. Suppose -4*o = -6*o + n. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18019 - -17880. What is the fourth biggest value in -2\/25, 1, y, 3\/4, 4\/5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**3 - 15\/2*w**2 - 277\/4*w + 333\/2.\nAnswer: (w - 37)*(w - 2)*(w + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/56*(-103 + 99). Let g(y) = -y + 1. Let s(k) = -3*k + k + 3 + 7. What is h*s(r) + 4*g(r)?\nAnswer: -2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 3*l)*(-76 + 153 - 93) + (-2 + 6 - 3)*(2 + l - 2) to p + i*l and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598214 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:11 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 + -289\/2. Let c(h) be the first derivative of 0*h - 1\/3*h**6 + a*h**2 + 0*h**5 + 0*h**3 + 0*h**4 + 6. Find the second derivative of c(l) wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74503318*p**3 - 2366082*p**2 wrt p.\nAnswer: 447019908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/5)\/(z**(-2\/7)\/z))**(1\/17)\/((z**(-1\/5))**41\/(z**1)**(-25\/4)) assuming z is positive.\nAnswer: z**(1009\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9778*c**4 + 6171*c**2 wrt c.\nAnswer: -234672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 + 104*z**3 + 3076*z**2 - 80456*z + 77280 = 0. What is z?\nAnswer: -28, 1, 23, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 40. Suppose 2*h + 24 = -2*o, 0 = h - 0*o + 5*o + x. Let k = -6 - h. Solve 3*g + 4*r - 2 = 2, -4*g + k = 4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*o + 23 + 52, 4*a = 2*o - 138. Is -36 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in -1, -0.07, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -649\/5. Which is the closest to 1? (a) 0.5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 1, i: 3, v: 1, y: 3, z: 2}. Give prob of picking 1 y, 1 i, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.1 + 9.4. What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1\/11, 12\/11, -17, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*z - 43. Sort 3, 5, -1, z in decreasing order.\nAnswer: 5, 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -156 + 153. Let m = -7.2 - -7. Let z(f) = f**3 - 6*f**2 - 4*f - 21. Let t be z(7). What is the closest to 0 in m, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425073 less than 0.6?\nAnswer: -425072.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(21))\/((sqrt(3) - -1*sqrt(3))*-2).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:22 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/5 + 8*c**2 + 72*c\/5 = 0 for c.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -1 + 0)*6 + sqrt(20)\/(-6*sqrt(36)))**2.\nAnswer: -214*sqrt(5)\/3 + 68909\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128945 - 128944.83599585. Let o = l - 0.164. What is o rounded to seven dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118129 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1261172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 8*d - 10743. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 8*q**5 + q**5 + (2*q**3 + 2*q**2 - 2*q**2)*(-5*q**2 + 0*q**2 + 3*q**2).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 3) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 6.034\nAnswer: -2.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 142. Suppose 0 = -n + 2*m - 43 + 13, 3*n + 3*m = -72. Calculate t(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 4917377?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 16) to base 3\nAnswer: 110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4)*(d - 1 + 2 + 1)*(0*d**2 + 2*d**2 + d**2) to the form c*d**2 + y + m*d + u*d**3 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16377489 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 117. Differentiate t*y**3 - 9*y**3 - 18*y - 11*y**3 - 11 wrt y.\nAnswer: -3*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 2*r**2 + 0*r**2 + 4*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.2131ml in litres?\nAnswer: 0.2232131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 + 9472*u**2 + 567478*u\/3 - 198632 = 0. What is u?\nAnswer: -14188, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 864683 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 86, 189, 332, 515?\n\"Answer: 20*m**2 + 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrprrrp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/5 + 2 + (-1 - 1). Let w(c) = k - 47*c - 4 - 1 - 40*c. Is 15 a factor of w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 10. Let m be i(4). Suppose -3*u - 176 = -f, -u + 294 = m*f - 93. What are the prime factors of f?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*w = -255*w - 6007 - 1790 + 741 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, o: 2, d: 6, w: 1, j: 2}. Give prob of picking 1 j, 1 s, and 2 d.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 243*x - 238*x - 24, 3*m = 4*x - 18. Calculate the least common multiple of m and 1514.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 152 = 28. Let u be (-13 + -2)*2\/(-3). Calculate the highest common divisor of u and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 999610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*m = 2*g - 18, -3*g = -m - 2. Let v(q) = -q + q**2 + q**g + q. Let n(h) = -2*h**2. Calculate v(n(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 169. Let r(f) = -7*f**3 - 7*f**2 - 2*f - 4. Let u be r(-6). Suppose -u = -p*a - a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 divided by 771182?\nAnswer: -399\/385591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-14)\/(-6). Suppose 5 = -4*m - w - 4*w, 5*m = 3*w + 40. Let b(i) = -6*i + 6*i**2 - 10*i**o + 5*i**2 - m. What is b(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*b**2*j**3 + 10*b**2*j**2 - 2*b**2 + 540643*b*j**3 - 3*j**3 - 7362*j + 470 wrt j?\nAnswer: 198*b**2 + 3243858*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -6 (c) 31\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 - 659. Let a(x) be the third derivative of -121*x**4\/24 + x**2. What is a(r(m))?\nAnswer: 121*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18134477, -36268929, -54403381, -72537833?\nAnswer: -90672285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/21)*h*h)\/h**(-3))\/((h**(2\/5)\/h)\/(h*h\/(h\/h**(2\/3))))*h\/((h*h**(3\/5))\/h)*h*h\/h**2*h*h**3*h**(1\/2) assuming h is positive.\nAnswer: h**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 2450270 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 10*y + 9 - 85, -5*v - 99 = -39 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjjjjnjjjj. What is prob of picking 3 n and 1 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 25 - 13992*m + 13990*m)*(-m**2 - 3*m**2 + m**2).\nAnswer: 6*m**3 + 96*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 4441858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -81. Let z be (((-336)\/15)\/(-2))\/(2\/10). Let k = 77 - z. Calculate the greatest common factor of i and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2143.917805 * -0.4\nAnswer: 857.567122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -7a1?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooxxxj. What is prob of sequence xo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7545 is divided by 512?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10454958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 651 = 0. Suppose 6*q - 6 = 0, -3*q + 8*q - 25 = -y. What is the remainder when b is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 366 = -10*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.443047ug?\nAnswer: 0.009443047","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 1. Let l(n) = 55*n**2 + 48*n - 4. Suppose x + 5*x = -24. Let w(d) = x*g(d) + l(d). Find the second derivative of w(k) wrt k.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2090 and 474430?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -6*h - 55 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, 2725, 5568, 8411?\n\"Answer: 2843*r - 2961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 3, w: 1, g: 3}. Give prob of picking 2 g, 1 k, and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4733981 rounded to 3 decimal places?\nAnswer: 7.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*y + 32*h**3 - h**2*y**3 - 208*h*y**3 - y**3 wrt h?\nAnswer: -12*h*y + 192*h - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n. Let x(b) = 3698042*b - 2. What is k(x(r))?\nAnswer: 22188252*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2538 + -2478. What is the remainder when 233\/(3 + -6 + 4) is divided by v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-40))\/((-360)\/125 + 3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 4\/(-2))\/(-2). Suppose d = -3*m - 4 + 13. Solve m*y - 2 = 4*b, -4*y = 5*b - 6 - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8638?\nAnswer: 2, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 6. Let b(h) = 9*h**2 - 18*h - 97. Determine b(u) + 5*p(u).\nAnswer: 9*u**2 + 2*u - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107275432 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8)*c*c\/(c*((c\/(c\/(c*(c*c*(c*c**(-2))\/c*c)\/c)))\/c*c)\/c)*c)**(-21) assuming c is positive.\nAnswer: c**(-315\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001000001001110111 (base 2) to base 7.\nAnswer: -6653115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44018038 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**7\/147 + f**6\/35 + f**5\/35 - 19*f. Suppose o(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 1066990277.\nAnswer: 1066990275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-8))**(-12\/5))**23)**(4\/27) assuming b is positive.\nAnswer: b**(2944\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256.4 - -0.2.\nAnswer: -256.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 + (2 - 6). What is the biggest value in -3\/2, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 17*r + 17. Let l be c(18). Let o be (-22)\/(-5) - 14\/l. Let g be (-3 - 3)*(-2)\/o. Solve s + 16 = -g*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (336\/(-192))\/(12 + -5). Which is the closest to z? (a) 223 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 46\/37, 3, -32?\nAnswer: 46\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 8. Let o be i(-6). Let a = 0 - -16. Calculate the remainder when a is divided by (16\/o)\/(4\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlc when three letters picked without replacement from {j: 1, r: 1, m: 1, l: 2, b: 1, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374150 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: Suppose 0 = 5*s - 0*s + 370. Let h = -32 - s. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 1)*75\/105. Suppose s + 0*s + 64 = z, a*z - 327 = -2*s. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 2*i - 34*t - 57*t + 93*t, 3*i - 7*t - 70 = 0 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -48. Let l = u - -4. Solve 0 = -g + 8 - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11. Let h be 12 - (b + (0 - 3)). Is (-20)\/(-6) + 10\/h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 3*u + 4. Let c(z) = 3*z + 1. Let k(v) = -v - 1. Let l(s) = -c(s) - 2*k(s). Give -4*l(f) + p(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28070 and 30877.\nAnswer: 308770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2 + (3 - 4 - 1)*(4 - 1 - 4) + 132 - 118 + 77)*(2*j**2 + 40*j**2 - 5*j**2 - 2*j**2).\nAnswer: 3185*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 519847751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 6.2?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (58 - (-24)\/(2 + 10) - 12)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*s - 64, 4*a - 3*s - 105 + 38 = 0. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(44)\/sqrt(4)*4 + -3.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 + -1092. Let d = -598 - f. Solve -4*m = -d*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135205 and 70.\nAnswer: 270410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172.4 - 172.6. Which is the nearest to 17\/16? (a) -4\/5 (b) 0.4 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m**5 + 73*m**4 + 4463*m**3 + 16073*m**2 + 10161*m - 1530 = 0. What is m?\nAnswer: -17, -3, -1, 1\/8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 = 3*p, m - 5*m = -4*p. Let n(t) = -2*t + 1. Let i be n(-1). Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297461226.\nAnswer: 2, 3, 19, 2609309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**17*(s*s**2)\/s)\/(s**(-4)*s)**(-18) assuming s is positive.\nAnswer: s**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 - 11*p - 1. Determine y(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 8. Let l(x) = -3*x + 2. Let i(t) = -1. Let n(d) = -7*d. Let b(m) = 5*i(m) - n(m). Let k(s) = -2*b(s) - 5*l(s). Calculate k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -115*j - 236. Let h be f(-2). Let u(s) = -s**2 + 4*s + 4. Let r be u(5). Which is the nearest to -1? (a) h (b) 3\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, 5, -5, -106 in ascending order.\nAnswer: -106, -21, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5*p. Let f(l) = l. Let d(n) = b(n) + 6*f(n). Let w(z) = -33*z**2 - z - 9. Let x(g) = -d(g) - w(g). What is the first derivative of x(a) wrt a?\nAnswer: 64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52971320 to the power of 1\/2, to the nearest integer?\nAnswer: 7278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(20\/(-3)))\/((-147)\/70)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s, 36*p = 32*p - 5*s - 108 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/4 - 13*u**3\/6 + 7618*u**2. Let g(b) = 3*b - 7. Give -3*a(c) + 5*g(c).\nAnswer: -3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8148.142 and 0.1.\nAnswer: -8148.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8709 = 16*a + 8133 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.648152 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000000010110001011 (base 2) to base 3.\nAnswer: 12220220002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*n - 2*n - 56, 23 = 2*r + n. Let c = 306 - 210. Let i = c - 68. What is the remainder when i is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 18\/101 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20353 = -70*u - 18953 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbslsbblsbsbss. Give prob of sequence sbsl.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5047.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1240 - 841. What is the remainder when x is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6461, 6984, 7505, 8024, 8541?\nAnswer: 9056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 218*y**2 + 10629*y - 28218. What is k(147)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029662 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-6*j**4 + 0*j**4 - 2*j**4) - j**4 + 0*j**3 + 0*j**3 as p + l*j**4 + h*j**3 + s*j**2 + y*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4665 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - -16) + -1 - 5) + (-119 - -92) + 109?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011 + -1110001100000011?\nAnswer: -1110001101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) 3 (b) 2\/15 (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5582, 11146, 16674, 22148, 27550, 32862?\nAnswer: 38066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.30033309 rounded to 3 dps?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -x, -4*x + 5*x = 0. Calculate the remainder when 3 is divided by (a - -2 - -1) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = -x + 74, -4*x - 39 = -u. Suppose 8*f + 3*f - u = 0. Which is the fourth biggest value? (a) 3 (b) -3 (c) -0.5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 684.73 to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -5*v + 20, 0 = 5*u + 3*v - 12. Let w = 0.42 + -0.62. Which is the closest to 2\/3? (a) 0.2 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -49*o + 36*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 124008611 to the power of 1\/3, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 - -0.21. Sort -0.4, x, -4 in ascending order.\nAnswer: -4, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) + sqrt(1088) + 1 + sqrt(1088))**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + 0\/(-4). Let x = -0.8 - -0.3. Let h be (24\/(-8))\/(1*(0 - 3)). Sort x, j, h.\nAnswer: x, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/18*-242*5. Let w = -29540 + 29650. What is the greatest common divisor of w and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23812.13 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71968 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3414*q**4 - 13003 wrt q.\nAnswer: 13656*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103377962*f**2*j**3 + 13*f**2*j**2 - 2*f**2*j - 1054024*j wrt j?\nAnswer: 620267772*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 24 = -5*w + w + 27, 4*w = -z + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + 2 + 2 - (1403 + -1383) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65079701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*q = 4*h + 2348 - 2327, 1179 = -39*h + 3*q for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + n + 9 = -6, c = 4*n + 9. Let r = -14 + c. Let z(d) = 3*d**3 - 2*d**2 - d - 2. What is the units digit of z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (984\/(-861))\/(12\/63)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, 538, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009914 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6327 - 225*h - 6327)*(4*h + 2*h**2 - 4*h) in the form a*h**3 + u*h + o + x*h**2 and give a.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339\/2 - 168. Let x = -8 + 6. Let m = x + 1.7. What is the third biggest value in m, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 3356048?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4180 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -31 + 1067*p - 11*p + 910*p - 240*p. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(396)*2)**2)*-1.\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4608 divided by -144\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1648638 > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5*u + 6*u - 3)*(0 - 10 - 4).\nAnswer: -154*u + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 - 5*q - 9. Let k be t(7). Suppose k*n = 2*n + 54. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (sqrt(68) - (1 + sqrt(68) + sqrt(68) - sqrt(68))**2) + -4 + 2)*2.\nAnswer: -150 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -2\/127 (d) 1\/14 (e) -0.4 (f) 11\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1066 or -1081?\nAnswer: -1066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.24 + -6.24. What is the third smallest value in 5, 4\/7, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*r**2 - 57*r**2 + 62*r**2.\nAnswer: -397*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -21, -9, -2268?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63892, -255597, -575124, -1022473, -1597644, -2300637, -3131452?\n\"Answer: -63911*t**2 + 28*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5501826.36433 and 26.\nAnswer: 5501852.36433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d*d**8*d)))\/d**(-1\/6)*d**(-4)*d**3 assuming d is positive.\nAnswer: d**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 8805602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -18.4, 3 in descending order.\nAnswer: 9, 3, -18.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6*q**2 - q + 7. Let l be g(6). Let u = l + 47. Suppose -203 - 229 = -18*w. What is the greatest common factor of w and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y - 9*y + 657 + 7*y - 735.\nAnswer: 13*y - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)*(31 - -4). Let k(j) = 133*j**2. Let n(l) = 11*l**2. Let x(s) = q*n(s) - 3*k(s). Let i(r) be the first derivative of r**3\/3 - 1. Give i(x(u)).\nAnswer: 196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/12 (b) -0.01 (c) -267.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 7, -3, -1, 0, -7, 1 in increasing order.\nAnswer: -7, -3, -1, 0, 1, 7, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8887.6197 - -8887. What is k rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -7*o + 252. Let v(p) = -5*p**2 - 62*p + 10. Let u be v(o). Sort 3, 5, u in ascending order.\nAnswer: 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 26464?\nAnswer: 132320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 72.93028 micrograms?\nAnswer: 0.00000000007293028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13097 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12637164 to the nearest integer?\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4554*a*t + 8465*a*y + 279*t*y - 570*t with respect to y.\nAnswer: 8465*a + 279*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749*-1344.\nAnswer: -1006656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {q: 1, r: 1, w: 1, n: 1, e: 2, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:08 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*8\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 6478*g + 6481*g + 18 = 0, -2*g = 2*t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1755039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 - 0.35. Let n = -1.39 + l. Let x = 4.8 - n. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 66. Let f(y) = -7*y**3 - 4*y**2 + 3*y + 2. Let v(p) = -6*p**3 - 3*p**2 + 3*p + 2. Let c(o) = -3*f(o) + 4*v(o). What is c(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*y - 1 + 19 in the form z*y + q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-1 + 5))\/(-1). Let g(x) = -4*x + 8. Let i(v) = -v. Let w(r) = -g(r) + 3*i(r). Determine w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 2*sqrt(832)*5 + sqrt(832) + sqrt(832) - (sqrt(832)*1 + -2))**2 + ((-2*sqrt(91)*-2)\/(1*sqrt(21)\/sqrt(3)))**2)*-1.\nAnswer: -120020 - 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215)\/4515*6*3.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - (-18 + 18 - (0 + 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -194145 times -0.1\nAnswer: 19414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 814?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 7:44 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (1 + (-2)\/2). Let l be (-11 + -2*h)*-9. Let m = -13 + 26. Calculate the highest common divisor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 - 10*b**3)*(-2*b**2 - 2*b**2 + 5*b**2).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let t = m - 6. Suppose 3 = -4*v + 7. What is the closest to t in v, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 - i - 18. Determine j(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 7*o. Let t be p(7). Suppose -10*s = 29*s + 195. Let i be -2*1\/(-1 - -3). Which is the closest to i? (a) t (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*38\/(-209).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)*(j*j\/j**1*j)\/j*j)\/(j**(-2\/13)\/j)**8 assuming j is positive.\nAnswer: j**(717\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/1680 - l**6\/80 + 3*l**5\/4 - 5*l**2 + l. Let z(j) be the third derivative of u(j). Determine z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (5 - 60\/4). Let p be -1 - (20\/10 + 0\/(-2)). Let b(k) = -k**2 + 6. Let r be b(p). Sort -1, w, r in decreasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k - 1 + 1)*(-k + 4*k - 5*k) + 49 + 13*k**2 - 49)*(-1 + 33*k**2 + 29*k**2 - 77*k**2).\nAnswer: -135*k**4 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126 in -0.5, -2833, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 5*z + 85, -100 = -5*o + 5*z. Calculate the smallest common multiple of o and 795.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502 + -507. Let s = 28 + -113\/4. What is the closest to 2\/3 in 1, s, z, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/78 and -19\/8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*v - 6*v - 61, -2*w + v + 59 = 0. Let n = w + -26. Solve 2*b = n*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8099932*g**3 - 2*g**2 + 90945*g + 15 wrt g.\nAnswer: -48599592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**27*l)*l*l*(l*l**14)\/l)\/(l**(-22)*l*l**17*l))**26 assuming l is positive.\nAnswer: l**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.2, 0, 13030, -3\/7, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwwhwhrww. What is prob of sequence whrw?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -17020 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + 3*c**2 + 4*c + 31 + 21 - 50 as b*c**2 + k*c**3 + f + n*c and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*a**2 + 251 with respect to a.\nAnswer: -268*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26976 - 4*p + 0*p + 7286.\nAnswer: -4*p + 34262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 4, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*a - 8, d + 8 = -5*a + a. What is the remainder when 61 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.473 + -0.027. Let f = n - -18. What is the biggest value in 5, f, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - 5*x + 5. Let f(h) = -11*h**2 + 6*h - 6. Let w(l) = -5*f(l) - 6*p(l). Let z(b) = 14*b - 1. Determine z(w(s)).\nAnswer: 98*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 15 - 53*d**3 + 10 + 0 + 56*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2948 = -11*p + 30712. List the prime factors of p.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*v - 7 - 69*v - 8*v**2 + 3 wrt v?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8396 - 4577. Is 8\/2 + (r - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 37*o + 104. What is r(-19)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139264 by 2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from henhjhhhe. Give prob of picking 1 j and 1 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -30, -42, -54, -66, -78?\n\"Answer: -12*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25*q**2. Let b(g) be the first derivative of -2*g**3\/3 - 4. Determine b(z(a)).\nAnswer: -1250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210778 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72941501471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 1 (c) 2\/999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*r**2 + 160*r**2 - 317*r**3 + 321*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 o when four letters picked without replacement from {t: 10, o: 10}?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21717?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 - 42 = -3*j. Let k(y) = -y**3 + 10*y**2 - 8*y + 3. Let a be k(9). Let r = a - j. Calculate the highest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1810579 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:28 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**5 + 13*z**5 + 14*z**5 + 2*z**5 + z**3 - z**3 + (0*z + z + z)*(z**4 + 1 - 1) - 3*z**3 + 3*z**3 - 2*z**5 - 2*z**5 + 0*z**5 + z**5.\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -210, -468, -828, -1290, -1854?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -227, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4533544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008208 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a1a + 13a?\nAnswer: -68a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqcuq. Give prob of sequence quuc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(243) + sqrt(243) + 2 + sqrt(243))*6 - ((sqrt(243) + 2 - sqrt(243))*5 - sqrt(243))) + 4 + 5 + 3 + 4)**2.\nAnswer: 6840*sqrt(3) + 88123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + 1*sqrt(405)))**2.\nAnswer: 2592*sqrt(5) + 15156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjuuuujuuuujauxuuxju. What is prob of picking 2 x, 1 u, and 1 j?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b + 352 = 67*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -1, -5, 5, -3\/4, 67.\nAnswer: -5, -1, -3\/4, -3\/10, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 + 7*a. Suppose 5*d + 2*z - 4*z + 34 = 0, 3*z = 6. Determine g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13*d + 6*d - 6 + 6*d. Let r be p(-5). Is (r*177\/6)\/(1\/(-46)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1661*u**2 + 21*u - 34?\nAnswer: 3322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199742616 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605491?\nAnswer: 29, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 34 (c) -9.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:49 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 12. Let k(v) = -4*v + 12. Let x(a) = -5*c(a) - 4*k(a). Let b be x(-4). Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 5, 194, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vypepyvvvvdyv. Give prob of sequence vpv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(588)*3)\/((1*sqrt(66))\/sqrt(11) + (sqrt(192)\/sqrt(4) - sqrt(48))\/sqrt(8) + sqrt(6)).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 220. What is the remainder when q is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(-13) - (-1140)\/114?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634333927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-138)\/112 - 3\/((-92)\/1150*-100)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.0732?\nAnswer: -0.1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000700022247 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2. Suppose 0 = 5*s - 3 - 7. Let q = -1 - -2. Let h(z) = q + 0 - 1 + 4*z**s. Determine i(h(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 6. Let y = 6 + l. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 5*s**4 - s**3 - 2 - 2 + 4 + 2 as d*s + m*s**4 + i*s**3 + a*s**2 + w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.132 + -7.968. Let p = l - -8. Which is the nearest to p? (a) -1\/7 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 + 27f5?\nAnswer: 282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 492131*0.1\nAnswer: 49213.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 58 = -4*z, 3*d + 360 = 357. Calculate the remainder when 4\/(0 - 2\/(-539)) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 1, q: 7, u: 4, b: 1, m: 2}. What is prob of sequence ubl?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:29 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 10. What is the nearest to 1 in 1\/9, 0.1, y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117983956.\nAnswer: 2, 997, 280337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3016*r**4 + 4*r**3 + 975*r + 63. Let v(h) = -h**4 + h**3 + h + 16. Let b(i) = t(i) - 4*v(i). Find the second derivative of b(m) wrt m.\nAnswer: 36240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -423. What are the prime factors of k?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7572.321ml in litres?\nAnswer: 7.572321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199765 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: Let u = -106 - -116. What is the units digit of ((-16)\/u*-1)\/((-30)\/(-7500))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18677 - 18313 = -9*j. What is the greatest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 79. What is the closest to 3\/4 in -4\/17, 5, s?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 5, e: 4, f: 7, y: 2, t: 1}. What is prob of picking 1 e and 1 a?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 equal to -258.944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3676252 by 1.\nAnswer: -3676252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 521, 1868, 4501, 8846?\nAnswer: 15329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 17. Let j = -4 + 3.7. What is the third smallest value in j, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8586, 2, 1, -8, 0, -4, 3 in descending order.\nAnswer: 8586, 3, 2, 1, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 - 240. Let l = -605\/4 - -152. Which is the smallest value? (a) l (b) -4 (c) z (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14244 is divided by 1780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2550 + 2553. Let a(p) = -p**2 - p - 1. Let y(b) = -3*b**2 - 23*b - 7. Give d*y(v) + 5*a(v).\nAnswer: -2*v**2 + 18*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 48*1*(-5)\/(-5)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9464, 34922, 76356, 133766?\nAnswer: 207152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 16*q - 16*q + 41*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7025283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = -0*n - 4*z, 3*n = -4*z - 12. Let f be (126\/(-15))\/(1\/5). Let t be (n\/f)\/(3\/(-14)). What is the third biggest value in 5, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 29885\nAnswer: -6\/29885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1390\/90 - (-4)\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - 5*q**2 + 5. Suppose -92*u + 115*u = 138. Let n(g) = 3*g**3 - 2*g**2 + 2. What is u*c(t) - 15*n(t)?\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t. What is the smallest value in -0.4, -4\/9, t?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-167010)\/(-1410750) + ((-8)\/(-9) - 1). Which is the closest to 0.1? (a) t (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10 - p**3 - 28 + p + 19 + p**2. Let t(g) = -4*g**2 + 2*g**2 - g**2 - 3*g + 5*g**3 - 1. Let x = -3 - 0. Give x*o(i) - t(i).\nAnswer: -2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 219, 1, 1420 in decreasing order.\nAnswer: 1420, 219, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 391894 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i + 4. Let n be 20\/8*(-1 - -3). Let y be f(n). Are -3\/2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:30 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2)*(-4)\/(-6). Let f be (-20)\/(3\/(-17 + -4)*1). Suppose p*a = 2*l - 56, -5*l - 4*a - a = -f. Solve -2*z = -2*k - 4, -k = 5*z - 0*k - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -13 + -10 + 23 + 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*a + 44 = 0, -6*a + 111 = 5*z - 2*a. Let y = z - 42. Let n = y + 94\/5. Which is bigger: 1\/3 or n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061624118?\nAnswer: 2, 3, 1543, 114671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*8\/48 + (0 - -1). Suppose 0 = -2*m - 7 + 11, 3*v = d*m. Let y(s) = -14*s - 2. Let h(n) = 57*n + 9. Determine v*h(p) + 9*y(p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s - 2 = 0. Let m be 3\/(-18) - (-1 + s + 2). Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -z - 4*v + 5*v, -5*v = 3*z - 103. Let i(o) = -o**2 - 9*o - 16. Let p be i(-7). What is the remainder when z is divided by 66\/(-3)*p\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342384 = 11*k - 2*k + 101427. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -996 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:05 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229112?\nAnswer: 2, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 50 = 45. Solve a - u + 9 = -5*n, 2*n = a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 6*j**2 + 4*j. Let a be x(-5). Suppose 5*p - 105 = a*r, -5*p + 88 = -5*r + r. Let b = -14 - r. Sort b, 5, -2 in decreasing order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c + 107*c**2 + (-2 - c + 2)*(3 - 3 - 2*c) + 3*c**2 + 5*c**2 - 2*c**2 in the form b*c + w*c**2 + k and give w.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 1 n when three letters picked without replacement from {u: 3, n: 3, f: 8, q: 2}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**2 + 8*p**2 + 11*p**2 + 2*p + (-2*p - 2 + 2)*(5*p + 1 - 1) + p - 2*p**2 - p.\nAnswer: -5*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 19*n + 1120. What is the greatest common factor of n and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3929477*a*f*h*t + 3*a*t + f*h*t + 247638*f*t + 16*f + 6*h*t wrt a.\nAnswer: -3929477*f*h*t + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) 0.4 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znwdwiiwiwiw. What is prob of picking 1 i, 1 z, and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/3 + 3*v**2\/2 - 122*v. Suppose 12 = 3*z - 5*z. Let w = 10 + z. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 107385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:34 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029108 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*q - 4*a, 3 = 2*q + a - 1. Solve y - 2*y - 12 = -4*f, -2*y + 9 = q*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 6*h**2 - 56*h - 10. What is m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 12*v - 15. Determine q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2. Let j(i) = i**2 - 4*i. Let n(s) = 8*s - 55. Let c(t) = -2*j(t) - n(t). Determine c(l(p)).\nAnswer: -32*p**4 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 33337958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 620.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13430 by 170.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/7 + 6 + 10810\/(-975) and 55\/3?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**2 + l + 1. Let c = 11 + -11. Suppose x + 3*x - 20 = c. Let u(n) = -7*n + 1. Give x*r(b) - 7*u(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 19 + -1*1. Let g be (-2)\/(-1) + (-36)\/4. Let b(z) = z + 16. Let h be b(g). What is the highest common factor of h and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = d + 7, 0*d + 3*y = 5*d. Let v = -186.78 - -183. Let q = v - 0.22. What is the second smallest value in 5, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 16*p + 267 + 339. Let r(t) = -2*t**2 - 45*t - 107. Determine r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5918 is divided by 1475.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -0*x. Suppose -x*v - 4*s + 12 = -3*v, -2*v + 5*s - 2 = 0. Solve 0*w = v*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 6 - 6. Suppose f = -18*r + 16*r + 72. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 13231?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.0936, -1644?\nAnswer: 0.0936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 449 = -307 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 12*(-3)\/(-42). What is the closest to 1 in 2, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -385864763770061.99000037 - -385864760403138. Let p = c + 3366921.99. Let j = p - -2. What is j rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -0.67, -1\/9, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/63 in 47, -73, -1\/5, -1, -2, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a + 7. Suppose -5*s + 50 = -5*q, 4*s - 2*s + 3*q = 5. What is the remainder when 18\/s*56\/6 is divided by u(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/21 - 66*c**2\/7 - 512*c\/7 + 2861. Factor y(o).\nAnswer: -(o + 4)*(o + 128)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 54. Let r be ((-2)\/6)\/(30\/9 - o). Factor r*w**4 + 0 - 1\/5*w + 1\/5*w**3 - 1\/5*w**2.\nAnswer: w*(w - 1)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12860331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -7. Sort 3, c, -4 in ascending order.\nAnswer: c, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 4\/3*t**2 + 1 - 2\/9*t**4 + 2*t + 1\/30*t**5 - 1\/9*t**3. Factor z(g).\nAnswer: 2*(g - 4)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6978, -27746, -62344, -110766, -173006, -249058, -338916, -442574?\n\"Answer: k**3 - 6921*k**2 - 12*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 57 = -233. Suppose 74 = 2*g + 2*r, 0 = 6*g - g + r - 181. Let t be 2\/(-4) + g\/8. Solve -t*n = 0, 4*q + 2*n - f = 8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/19 + 17876*d**3\/19 - 42233858*d**2\/19 + 10233723984*d\/19 - 655475860512\/19 = 0. What is d?\nAnswer: 132, 4337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + x + 3*x)*(2*x**2 - 5*x**2 + 0*x**2) - 2 + 2 + x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 1. Let t(n) = -1. Let u(p) = 2*i(p) - 6*t(p). Let b be u(-8). What is the tens digit of 80\/3 - 16\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 + 40820*h**4 + 210800476*h**3 + 25689917752*h**2 + 891792338850*h + 9516441532500 = 0. Calculate h.\nAnswer: -10143, -74, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in -1\/6, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 705*y**2 - 1. Let c be q(1). Suppose -c - 338 = -o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1995135197 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 166*c + 783. Give g(0).\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4832 = -26*j + 11340. Calculate the least common multiple of 6 and j.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + -1 + (-1 - -4). Let x be (2 - 6)\/(z - -1). Suppose -4*j - 2 = -3*r, -j = 4*j + x*r - 9. Is 2\/9 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:07 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + 232309\/33 + (-1)\/(-3).\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n - 1. Suppose -3*j + 23 = -43. Let y(g) = 10*g**3 - 11*g - 13. Let b(k) = j*q(k) - 2*y(k). What is the first derivative of b(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (-8 - -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/15 - (-9758)\/1230.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 7*u - 5. Let q be (-44)\/11 - (4 - (3 + -1)). Determine v(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2441, -2445, -2451, -2459?\n\"Answer: -i**2 - i - 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.79999126 - 19.8. Round d to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/84*-4)\/((-2)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4 = 2*v + 3*g, -5*v - 2*g = 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/(10\/(-120)). Suppose 5 = a*c - 37. Calculate the remainder when 24 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**3*x - 505247*a**3 + a**2*x + 5981*a*x + 2*x**2 with respect to x.\nAnswer: -4*a**3 + a**2 + 5981*a + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4552 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125612?\nAnswer: 2, 17, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x**3 + 77*x + 0*x**2 - 113 + 216\/5*x**5 + 0*x**4. Find the first derivative of p(r) wrt r.\nAnswer: 864*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (-9483)\/(-39) + 2\/(-13) is divided by 135?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 108. Let b(q) be the third derivative of -q**4\/8 + 304*q**2. Determine b(p(z)).\nAnswer: 3*z**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = 3*z + 2, 3*t = z + 5. Let k(f) = -6*f + 3*f**3 + 3 - 10*f**3 - 6*f**t - 4 + 8*f**3. Give k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 11*i + 5*i + 0*i. Let n(v) = -8*v + 6*v + 3*v - 1. Let y(d) = 3*d - 4. Let f(o) = -12*n(o) + 3*y(o). What is f(b(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -2\/111 (c) -3.433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and (-150)\/825 + 1359*4\/11.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.506 rounded to 1 dp?\nAnswer: -97.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 20 + 20 + (2 - 1 + 8)*(-5*l - 33*l + 9*l) to k*l + q and give k.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73\/10 - -89\/10. Let v = 127 + -130.875. Let g = -0.125 + v. What is the second smallest value in x, g, -5, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**3*h**3*z + 165*b**3*h**2 + 2*b**3*h*z - 356612*b**2*h**3*z + 8*b*h**2*z + 3*b*h**2 - b*h*z + 4*h**2*z + h wrt h?\nAnswer: 126*b**3*z - 2139672*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8) + -2 - (-21 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19581503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25333 - -25332.899991. Let z = 0.1 + k. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1503 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3*s**2 - 14*g**3 + 1372*s**2 wrt g.\nAnswer: 9*g**2*s**2 - 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1714, 1762, 1814, 1870, 1930, 1994?\nAnswer: 2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -19.857.\nAnswer: 38.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2342486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6663 - 6507 = 26*t. Let n be ((-14)\/4)\/7*-6. Solve j - n*j = 4*h - t, 0 = h + j - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**3 - 18*s**3 - 27*s**2 - 2*s**3 - 6*s = 0. Calculate s.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + v**3 - v - 8 - 5*v + 3 - 4*v**2. Let d be q(5). Let n = -108\/275 - 2\/275. What is the nearest to -1 in d, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/(-368))\/(65\/(-13))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 172464?\nAnswer: 517392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-202)\/303)\/((-6)\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*(-4 + sqrt(300)) - (-5 + -1 + sqrt(300)*1))*4)**2.\nAnswer: -14400*sqrt(3) + 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (30 + -22 - (-12 + 1)) - -84\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/10)*(m\/(m\/(m\/m**(-10))))\/m)\/(m**(-1\/3))**(2\/49) assuming m is positive.\nAnswer: m**(14279\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*m - 4, 6*m = -3*c - 49 + 82 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181698 + 5633973\/31. Let c = i - 43. Sort 4, -1, c in decreasing order.\nAnswer: 4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(8\/5)*((q*q*q*(q**(2\/19)*q)\/q)\/q)\/q)\/(((q\/((q**(-1\/12)*q)\/q*q*q))\/q)\/(q\/q**(-37)*q)))**(-9) assuming q is positive.\nAnswer: q**(-149187\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85129470 - -6299803119\/74. Let l = 3005 - n. What is the common denominator of l and -53\/10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:35 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4568*p - 8014*p + 30877 = 38105 + 1049660 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3758.555 millilitres to litres.\nAnswer: 3.758555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -100102012121?\nAnswer: 100102012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*v**3 + 334 with respect to v.\nAnswer: 567*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 19. Is (-3484)\/(-44) - g\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/73)*q)\/((q\/(q*q\/(q**(-26)*q)))\/q) assuming q is positive.\nAnswer: q**(2046\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 19*w - 35 = 5*m, -4 = -2*w. Put m, 4, 5, 54, 0 in descending order.\nAnswer: 54, 5, 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 - 15*s**3 + s**3 - 9*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 7*n**2 - n**2)*(80*n**2 - 147*n**2 + 66*n**2 - 160*n).\nAnswer: 5*n**4 + 800*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z - 33. Let x(d) = 3*d + 16. Let o(w) = 4*m(w) + 9*x(w). Let f be o(9). Suppose 0 = a - f - 10. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/4 of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from ggvlovooloovvvozolgo?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d. Let h(k) be the first derivative of -10*k**3\/3 + 41. Determine h(x(w)).\nAnswer: -490*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*x + 17 = -32, -3*y = -3*x - 36. Factor -3 - 3 - 101*t**2 - y*t + 96*t**2.\nAnswer: -(t + 2)*(5*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 + 0*r**2 + r**2)*(125 - 122 - 20*r + 50*r).\nAnswer: 240*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -62, -107, -164, -233, -314?\n\"Answer: -6*j**2 - 15*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 + -1 + -1 + 151. Let t = -98 + a. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**32)*s**24\/s assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 1336*k**2 - 22340*k - 21000.\nAnswer: 4*(k - 350)*(k + 1)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055433 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 557*j**2 - 13*j + 6. What are the prime factors of d(-2)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 7 = -2*y, 2*m + 33*y = 28*y - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 1363?\nAnswer: 23\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*f - 208*f - 165*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 4. Let p(m) be the second derivative of 1\/6*m**3 + 0 - 3\/2*m**2 + 22*m. Give 3*i(q) + 4*p(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 21. Let f be 0 + (-9)\/z + 4 + -116. Let j = f - -190. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(7) - (sqrt(252) + -3)) + -4 + sqrt(252))**2.\nAnswer: -16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.0638 + -3.2538. Which is the closest to 1\/4? (a) 3\/7 (b) h (c) -17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(720)*4)**2 + (-2*sqrt(40) - sqrt(40) - sqrt(40))\/sqrt(8) + ((sqrt(5) - -1*sqrt(5)) + -1)**2.\nAnswer: -8*sqrt(5) + 11541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307801, 307686, 307565, 307438, 307305, 307166, 307021?\nAnswer: 306870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 84 + 12 = 0. Suppose -4*h + 44 = -3*r - 23, 2*r + 66 = 4*h. Calculate the greatest common factor of t and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2758*m. Let n be k(0). Let x = 3.9 - 4. Sort x, n, -12.4 in decreasing order.\nAnswer: n, x, -12.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*h + 3*h - 51, -5*y = -2*h - 123. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/6)\/(-9 + 212\/24). What is the derivative of 4*v - i*v + 170 - 2*v**2 + 5*v wrt v?\nAnswer: -4*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 113550?\nAnswer: -114002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 7953 - 6*r**2 + 2656 + 2648 + 2649.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. What is the closest to -1 in -2\/3, -0.1, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 7092\/(-504))*(20\/(-13))\/5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1367*l - 13673. Calculate j(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 4:30 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 41*u - 13. Let q(j) = -j**2 - 1. Let x(b) = -k(b) - 6*q(b). Let v be x(8). Do v and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -24*a**2. Let q(i) = 18*i - 10. Let y(b) be the third derivative of -29*b**4\/6 + 32*b**3\/3 + 31*b**2. Let h(p) = -32*q(p) - 5*y(p). What is r(h(l))?\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from {j: 6, c: 3, l: 4, e: 6}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 1, c: 3, m: 3, f: 6, k: 1}. What is prob of sequence fkf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 - 150. What is the greatest common divisor of r and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000080484915 to 7 decimal places.\nAnswer: 0.0000805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 7625\/(-550))\/((-6)\/11).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 51 = 0. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w + 2*v = 2816, -2*w - 5*v + 1416 = 0. Suppose -w - 372 = -5*x. Suppose x = 7*n - 2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-27) + (-340)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11508 and 336?\nAnswer: 46032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130310211 - -3?\nAnswer: 2130310220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 8\/1411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 divided by -19821?\nAnswer: -584\/19821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3.49 (b) -0.071 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 2. Suppose 4 = -3*d - 4*x + 17, 0 = -3*d + v*x + 7. Determine k, given that 140*k**4 + k - 14*k**4 + 4 - 90*k**d - 50*k**2 + 9*k = 0.\nAnswer: -1\/3, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576000 = 2*n + 2*n. Suppose -3*i - n = i. Round i to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*f = 3 - 2, 2*f = 5*r - 23. Suppose l + r*j = -27, -13 - 2 = l - j. Let o be (10\/l*3)\/((-1)\/3). Solve o*m - 8 = -i, -4*m + i + 6 = 2*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 593983 + 185983 = 0. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442939800 divided by 60\nAnswer: 7382330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -7. Let w be (-9 + -4 + 10)*(-10)\/(-3). Is y greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 54?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23649.\nAnswer: 3, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/11220 and 31\/155430?\nAnswer: 5284620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {y: 2, u: 7, z: 3, m: 1, j: 2, q: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -t + f + 4*f, 0 = 5*t + 3*f - 3412. Solve -11*w - 5*w + 0*w - 666 + 2*w**2 + t = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a + 6. Let y be h(6). Let n be (9 - 13) + (9 - 1). Solve -4*f = -y*f + n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 4*s - 5*l, 3*s - 4*l + 129 = 162 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2135*m**2 - 1477*m**2 + 0)*(0*m**3 - m**3 + 3*m**3).\nAnswer: 1316*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*((-24)\/(-4))\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000652630317 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 77, 100, 107, 92, 49, -28?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5\/4 (b) 2\/7 (c) -1\/7 (d) -174 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30318203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4557 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12068985 and 71\/7749090?\nAnswer: 2100003390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 z, and 1 p when four letters picked without replacement from {p: 1, f: 4, z: 1, s: 3, h: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 109*2*(-8)\/(-16). Suppose s*l = 108*l + 5. Suppose -2*v = -4*x + 92, 2*x - l*v - 65 + 27 = 0. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -12. Put -2, s, 7 in ascending order.\nAnswer: s, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 3:07 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let j be (b\/2)\/((-18)\/(-24)). Sort j, -5, -1.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26017, -25979, -25943, -25909?\n\"Answer: -s**2 + 41*s - 26057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5408, 43083, 145352, 344513, 672864, 1162703, 1846328?\nAnswer: 2756037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/((-33)\/18) + -4. Let n be -3 - 532\/(-108) - w. What is the nearest to n in 2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 4. Let i(r) = r + 1. Let v(g) = 2*i(g) - t(g). What is the derivative of v(c) wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -19*m**3 - 3*m**2 - 3*m + 3. Let i be u(5). Let x = 9262 + i. What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1256452355 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 4, 10.6, 6.9, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpppuppppppgpx. Give prob of picking 1 u and 2 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 - 11?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 407760226 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: Suppose 4*h + l = -h + 23, 5*h + 3*l = 19. Let m(o) = -o**2 + 5*o + 7. Suppose 0 = -5*w + 16 + 4. Calculate the remainder when m(h) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0425 (b) 7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1655943 + -1655961.00053. Let p = -0.27 + 18.27. Let h = k + p. What is h rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3183230794280\nAnswer: -3183230794277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (643417 + 1508*l**4 - 643417)*(2 - 2 + 1) + 10*l**4 - 2*l**2 + 2*l**2 to n + j*l**2 + g*l**4 + d*l + a*l**3 and give g.\nAnswer: 1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -13 (c) -53 (d) 2\/817 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -27 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*d + 12*d + 760 = -53*d. What is the third smallest value in 2, d, 1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4774785 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 83368*t**3 + 83365*t**2 + 166734*t.\nAnswer: t*(t - 83367)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*t**3 - 1549414 + 1549414 - 25*t**3.\nAnswer: -174*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 2*c**2 - 3*c**2)*(-13*c - 7*c + 9*c).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021878 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/3 - q**2\/2 - 2*q - 81. Suppose 3*u + 20 = -13. Let y(l) = -10*l - 5. Give u*t(a) + 2*y(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 - -101?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:54 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46546499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000909 to 6 dps.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -987 + 985. Which is smaller: v or -5\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Suppose -5*z + 38 = -3*z. Factor -6*n + 9*n**2 - 9*n**4 - 8*n**5 + 3*n**c - 8*n**5 + z*n**5.\nAnswer: 3*n*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:17 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((532\/19)\/280)\/(-1*4\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -17 + 6. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20)*h*h**(1\/18)\/h*h**(4\/3)*h\/((h*h*h\/(h\/h**(-32)))\/h) assuming h is positive.\nAnswer: h**(241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.638634km?\nAnswer: 638634000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f**3 - f**2 - f. Let h be n(-1). Let z = h + 104. Calculate the greatest common factor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*l**5\/3 + 208*l**4\/3 - 140*l**3 - 424*l**2\/3 + 224*l\/3 = 0. What is l?\nAnswer: -1, 0, 2\/5, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3692*d**3*y - d**2*y + 96*d*y + 16*d wrt d.\nAnswer: 22152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w + 3. Let y be k(-3). Let u be ((390\/24)\/(-13))\/((-1)\/4). Let m be (4 - (-4 + u + 3))\/(-1). Solve y = -4*g - m*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 16*o + 15. Give p(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + f - 2 + (4*f + f - 6*f)*(5 - 4 - 2) - 3*f - 2*f + 4*f + (-2 - 3 + 4)*(2 - 2 - f) + 19*f - 13*f + 18*f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31421439119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -63\/4 + 3\/4*f**2 + 15*f = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515022 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/219826 and -27\/56.\nAnswer: 6155128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*w + 47, -4*v = -7*v + 6*w + 45. Solve 12 = 4*x - i, 4*x + i - 13 - v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-9) + 1\/3. Suppose -j = -2*j - 4. Let k = c - j. Solve -4*r + 15 = -k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c**4 - 15*c**3 - c**2 + 53*c. Let d(n) = 14*n**4 + 16*n**3 + 2*n**2 - 54*n. Let k(g) = -5*d(g) - 6*o(g). Find q, given that k(q) = 0.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:10 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -3*sqrt(170)*-5)\/((sqrt(30)*1)\/sqrt(3) + sqrt(10) - sqrt(10)).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -0.03, -0.2.\nAnswer: -7, -0.2, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2602 + 2611. Solve -i = -21*v + 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20840\/11 - 1897. Which is smaller: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyceycgccg. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -946cc (base 15) to base 14.\nAnswer: -c3751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 263157?\nAnswer: 12105222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, u: 3, g: 4}. What is prob of sequence kug?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/11, -1\/140, -0.1, -11.8, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84536 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.70718 rounded to 2 decimal places?\nAnswer: 8.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1673 (base 8) to base 2.\nAnswer: -1110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + u**2)*(2 + 1 - 2)*(-1024*u + 513*u + 509*u + 4).\nAnswer: 4*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Let s be (-323)\/(-51) - (0 + 6). What is the closest to s in 4\/3, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -656.9999433 + 657. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115257 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175073531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*f - 94 + 359 = 0, -19*f = 1691 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*i + 2*i + 54*i + (17 - 17 - 18*i)*(-3 + 0 + 5) to the form m*i + g and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -4*r - x + 230, x + 5 = 0. Suppose -2*o - 114 = j, 7*o + r = 4*o + 4*j. Let h = o - -104. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n**2 - 4120*n + 5533. Determine m(-173).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f + 436*f**2 + 4*f + 18*f + 1157*f**2 + 2*f**3.\nAnswer: 2*f**3 + 1593*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 391, 4, -47, 9, -3 in increasing order.\nAnswer: -47, -3, -2, 3, 4, 9, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 8*d. Let p(o) = 10904*o + 1. What is j(p(y))?\nAnswer: -237794432*y**2 + 43616*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -28. Let i(x) = 13*x. Let f be i(q). Find the first derivative of -33*l + 24*l + f*l + 7 wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91454 (base 12) to base 5.\nAnswer: 22021432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/753 and 43\/30.\nAnswer: 7530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-133)*(0 + 2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1386228, -1386282, -1386340, -1386402, -1386468, -1386538, -1386612?\nAnswer: -1386690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**2 + 5*j. Suppose 7*p + 47 = 61. Let k(f) = -2116*f**2 + 1058*f**p + 1057*f**2. What is s(k(v))?\nAnswer: -12*v**4 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20242414 + 2414?\nAnswer: 20300333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 6*a**2 + 7*a + 9. Determine m(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11581 is divided by 525?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 + 10*c - 4. Let l be b(-9). Is 927\/12 + l\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**2 - 66134*v + 1642100.\nAnswer: 2*(v - 25)*(9*v - 32842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:10 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = 5. Suppose 0*d = -z*d + 20. Suppose -a + 4*p + d = -67, a + 2*p = 72. What is the greatest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 13*w + 5*w in the form f + l*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 248?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3244*c**2 - 109*c - 316. List the prime factors of j(-3).\nAnswer: 29207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*l + 5*x - 9, 0 = 5*l - 2*x + 18. Which is the smallest value? (a) l (b) 5 (c) -1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16 + 16 - 9*g**5 - 5*g**2 wrt g?\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:52 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*g - 35 = 0, g + 15 = 4*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 28*m - 42. Let d be o(-8). Let t = -408 - d. Are -142 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543233 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 66 = 3*f - 222, -4*f = -2*c + 168. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2229 + 2249. What is the lowest common multiple of 364 and h?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99 or 3?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -8. Let i = a + -31. Let o be (-78)\/i*(-24)\/18. Solve 2*x - 5*b + 11 = 0, o = x + 5*b + 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b + 14249 + 0*b**2 + b**2 - 14242. Suppose z + 4*z = 30. Give h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose -p + j*s = 23, s + 58 = -3*p + 5*s. Let m(w) = w**3 + 18*w**2 - w. Let b be m(p). Solve 5*t + 3*z - b = 0, -3*z - 5 = -3*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + 10. Which is smaller: i or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 137254077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 149075280 = -5*h. Let x = h + 9863920. What is x rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 967 - 963. Let r(k) be the second derivative of k**3 + 1\/4*k**u + 0*k**2 - 3\/20*k**5 + 0 - 4*k. Factor r(s).\nAnswer: -3*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, 5*d - 850 = -5*i - 0*i. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -4015266.\nAnswer: -92351118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -z + 5, 33 = -3*q + 7*z - 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -551\/10 - -52921\/960. Let k(b) be the third derivative of 0 - 1\/12*b**3 + 0*b + 26*b**2 + p*b**4 - 1\/480*b**5. Suppose k(o) = 0. What is o?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - b9587?\nAnswer: -b9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1457*w**9\/504 + w**6\/120 - 3629*w**5\/60 + w**3\/6 + 7556*w**2. What is the third derivative of f(x) wrt x?\nAnswer: -174840*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1668210\nAnswer: 1\/278035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**5\/5 + 15*r**4\/2 - 23*r**3 + 18*r**2 + 159. Factor h(g).\nAnswer: 3*g*(g - 1)**2*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u**2 + 4. Let j(v) = -4*v + 577003*v**2 + 4*v - 577004*v**2. What is j(c(w))?\nAnswer: -100*w**4 + 80*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-32) - (-5)\/600?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let q be i(6). Let u = q + 80. Let o = -28 + u. What is the highest common factor of 144 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/621 and (1 - 5) + 14 + (-153202)\/15456.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*u**4 - 72583*u - 165723187 with respect to u.\nAnswer: -160*u**3 - 72583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 77?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 258586, 259208, 259844, 260500, 261182, 261896?\n\"Answer: y**3 + y**2 + 612*y + 257972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8004*q + 8004*q - 26*q**2. Let r(c) = -2*c. Determine l(r(b)).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 10 = -6*k. Suppose 0 = -k*o + 52 + 108. What is the highest common factor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(5\/(-30)*-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -170*v**3*w**3 - 2*v**3*w + 10*v**3 - 18*v**2 wrt w?\nAnswer: -510*v**3*w**2 - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7528 * -4\nAnswer: 30112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 23. Suppose 4*s + 5*v = 4, -v - 16 = 3*s - u*v. Let r be (1 - 4) + (-34 - s)\/(-2). Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 4. Let t(y) = -2*y**2 + 308*y + 16. What is -4*q(l) + t(l)?\nAnswer: 2*l**2 + 304*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10362)\/(-330))\/(84\/(-5)) and 101\/1155?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 105\/14704367 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*s**2 + 233*s**2 - 54*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 112*o + 70. What is the hundreds digit of x(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3303*x - 1101. List the prime factors of v(-4).\nAnswer: 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-151)\/3*(0 - -3). Let s = l - -216. Suppose -2*d = -d - 5*o - 32, -4*d = o - 65. What is the remainder when s is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*c**2*v - 4017*b*c*v + 1415997*b*c - c**2 + 3*c*v wrt v?\nAnswer: b*c**2 - 4017*b*c + 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 18 + 4 + 2 - 4 + 0 + 0 + 1 + (0 + 1 - 2)*(-1 - 3 + 2))*(2*j - 4*j - 2*j)*(-4*j + 3*j - j) in the form c*j**2 + b + g*j and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c + 681 = -419 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 112*z**2 + 152*z - 7533. What is l(-110)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -619386 divided by 6\nAnswer: -103231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + 0.08. Let l = 0.05 + 0.05. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - (23 + (6 - 4)) - 6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 54604987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 13*a + 8*a)*(48*a - 17*a**2 - 48*a)*(8 - 1 - 3).\nAnswer: -204*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/4 - y**3 + 2*y + 5. Let n be d(-3). Suppose -n*b - 230 = -4*o, -4*b = -2*o + b + 119. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5195 - 5166 = -4*m - q, -3*q = -4*m + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/8379 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 10*z - 12. Sort z, -2, 1 in decreasing order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddfddddddddd. Give prob of picking 4 d.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164201?\nAnswer: 164201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 47*p**2 + 48*p + 127. Calculate the remainder when 558 is divided by c(-46).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 - 13 = -3*m, 3*x - 27 = -m. Is 6\/x - (-381)\/9 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6464\/7 + -926. Let g(o) = 211*o + 1053. Let t be g(-5). Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 10, -5*i + 2*z = 9651 - 9661 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 58615044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 12 + 0 - 0 - (-447 + 452)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - v + 0*v)*(0 - 4 + 2)*(-2*v - 42 + 5*v + 38) to the form s + a*v + i*v**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 + t**4 - 5*t**4 + (-4*t**2 - 3*t**2 + 5*t**2)*(-2 + 3 - 5)*(10*t**2 - 12*t**2 + 21*t**2).\nAnswer: 151*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 + 9)*(-y**2 - 30*y**2 + 10*y**2).\nAnswer: -147*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j. Let b(c) be the second derivative of -c**6\/80 + c**4 - 5*c**3\/6 - 141*c. Let i(g) be the third derivative of b(g). Calculate i(m(s)).\nAnswer: -180*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 - 139670898*i\/5 - 1625663312343867\/5.\nAnswer: -3*(i + 23278483)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 19, 26, 37, 52, 71?\n\"Answer: 2*b**2 - 3*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2200030 (base 6) to base 9\nAnswer: -175320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -446 - -6144513?\nAnswer: 6144045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 13*x**2 + 18*x - 34. Let c = -143 - -209. Suppose 4*f - c = 4*b + b, 3*f - 40 = -b. Let o be a(f). Solve o = -3*n - 5*q, -30 + 5 = 5*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/17 + 31686*m**3\/17 + 411580*m**2\/17 = 0.\nAnswer: -15830, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a55e5 (base 16) in base 7?\nAnswer: 5520531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, o: 1, z: 1, q: 2, x: 2}. What is prob of picking 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 7*r + 10. Let a be b(3). Let q(n) = -n**2 + 16*n + 5. Is q(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 328232 or 328288?\nAnswer: 328232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4219.1798 to the nearest integer.\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from bbbuuubvul?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 14 = -275*s + 274*s, m + 5*s = 7 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c - 6 - 304*c**4 + 190*c**4 + 2 wrt c.\nAnswer: -1368*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 5. Determine h(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + (-7)\/(-5). What is the units digit of a\/(-1)*3*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 444.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. Let v be b(5). Let o be (-5)\/(-10) + 21\/v. Let c(p) = p**3 - 3*p**2 + p - 4. What is the lowest common multiple of 8 and c(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6054169.5 rounded to the nearest 100?\nAnswer: -6054200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19294 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from kmgmmkggmguzgug?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1399, 352, -695, -1742?\n\"Answer: -1047*n + 2446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*3 + sqrt(52))**2*-2 - sqrt(52)\/(sqrt(12)\/(sqrt(3) - sqrt(147) - sqrt(3))).\nAnswer: -1664 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4366859.\nAnswer: 7, 67, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/5 + 11*m**4\/12 + 5*m**3\/6 + m**2\/2 - 5410*m. Let j(z) = -3*z**3 + 10*z**2 + 4*z + 1. Calculate -5*j(g) + 4*x(g).\nAnswer: -g**3 - 6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {u: 1, l: 1, j: 1, d: 2, r: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 42, 0, -15, 3 in decreasing order.\nAnswer: 42, 14, 3, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -36, -62, -92, -126, -164?\n\"Answer: -2*o**2 - 16*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571*q = 6813*q + 52278 + 307196 + 96580 for q.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 150.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-5) + (-81)\/(-45) + 4\/(-10). Put 7, p, 3, 1 in ascending order.\nAnswer: p, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v**2 - 19*v - 22. Let d be s(-13). Let l = -1520 - d. Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuub when four letters picked without replacement from uyttubyruwtt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*q**2 - 4*q**3 + 4*q**2 + 7*q**3 - 6*q**3 + 4*q**3.\nAnswer: q**3 + 130*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47047 divided by 611.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 + 667. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6180, -6160, -6140, -6120, -6100?\nAnswer: -6080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9194, -9182, -9156, -9110, -9038, -8934, -8792, -8606?\n\"Answer: m**3 + m**2 + 2*m - 9198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.8 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from tctttmtdmttotlomtt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:51 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjffffpjfpffjjffff. What is prob of sequence pffj?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-16\/7)\/m))\/(m*m**(10\/3)) assuming m is positive.\nAnswer: m**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2291\/6, 0, 0.3, -43, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 15*g**3 - 6*g**3 + 28*g**3.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604451051 to the nearest integer?\nAnswer: 24586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 7*j**4\/4 - 379*j**3\/4 + 3051*j**2\/2 - 7776*j + 1080 = 0.\nAnswer: 1\/7, 12, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -0.2 (b) -229 (c) 341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -2. Let o(m) = -v*m - 6*m + 3*m - 1. Determine o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -62*d**3\/3 + 117*d - 83. Differentiate k(p) with respect to p.\nAnswer: -124*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139939 is divided by 419.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20 = -0. Let z be (a\/(-8))\/((-2)\/(-20)). Suppose 5*n - 2*p - 6 = 4, z*p = 2*n + 17. Solve -15 = 5*y, n*y - 8*y - 15 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/112, -1\/5, 1\/2?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28093346 a multiple of 1472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 45\/55329293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -2058, -3963, -5868, -7773?\nAnswer: -9678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:19 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(91) + sqrt(91)*6) - sqrt(91)*4*-2)\/((sqrt(112)*-3 - sqrt(7)) + sqrt(7) + sqrt(7)*3*-5))**2.\nAnswer: 10933\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12) + (-28)\/(-6). Solve 5*x - 3*c = 0, c = -f*x + 3*c + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 709\nAnswer: 34\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -1\/2*o**2 + 0 + 3*o + 0*o**3 - 1\/6*o**4. Find the first derivative of f(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7545, -30600, -69033, -122850, -192057, -276660, -376665, -492078?\nAnswer: -622905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 5*r - 2. Let x(u) = -5*u + 5*u - u + u**2 - 2 + 3. Calculate -b(s) - 4*x(s).\nAnswer: -2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116580 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70967 + 70966.99765464. Round h to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -r, 4*g + 3*r + 6 = 2*g. Suppose 82 + 71 = 3*v - 4*y, g = -v + 3*y + 46. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*m - 12338 + 6578 - 5017 = 29123 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*d + 270 = 0, -i + 5*i = -5*d - 325. Let z = -1 - i. Suppose -3*r - 3*a = 2*r - 86, 2*a = -5*r + z. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16118000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:41 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19407 is divided by 3880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.9, -2788581?\nAnswer: -2788581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -202?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -2\/5 (c) 12 (d) 4\/7 (e) 8 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 10. Let b = -3 + y. Suppose -s = b*s - 25. Put -4, s, -1 in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (0 - 6\/(-3))\/(-2). Let a be (-5)\/(-9) - -7*(-2)\/42. Sort r, -1\/3, a, 6.\nAnswer: -1\/3, a, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3134 + 3127 + 5 + 1 + -4 + -120.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -269, -406, -543?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 885 = -2*k, 30*k - 33*k = f - 1370. What is the highest common divisor of k and 312?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 18*m - 2. Let i(a) = 336*a**2 - 54*a + 10. Calculate i(k) + 3*q(k).\nAnswer: 342*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 - 120*z**4 - 220*z**3 + 10*z**2 + 225*z + 110 = 0. What is z?\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(500)*-5) + 5 - (5 + (sqrt(270)\/(sqrt(90)\/sqrt(9)))**2).\nAnswer: -27 - sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*k + 146*k = -54. Let i be 33\/k + -3 + -4 + 2. Let m = 2 + -2. Which is the closest to -5? (a) 5 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**3 + 85*x. Let o be (-210)\/(-40) + (-1)\/4. Suppose o*f - 4*f = -85. Let d(m) = -m**3 - 6*m. What is f*d(z) - 6*p(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277.3 - 272.3. Which is the closest to -0.1? (a) 7 (b) w (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*n**4 - n - 7\/6*n**2 + 1\/2*n**3 + 0 - 1\/6*n**5 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*q**3 + 76*q**3 + 194*q**3 + (2 - 2 + 2*q)*(5 - 5 + 2*q**2) + 2*q**3 - 4 + 4.\nAnswer: 127*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*p*y - 89755*p + 3465973*y wrt p?\nAnswer: 123*y - 89755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1576, 1575, 1574, 1573, 1572?\nAnswer: 1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-5832)\/(-1728))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.1 + -39. Let f = x - 2. Let w = 0.8 + -3.8. What is the smallest value in w, f, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -42*q - 590. Let l(o) = 5*o + 68. Let p(m) = -3*h(m) - 26*l(m). Let u = -8 + 13. Determine p(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 - 235*h - 230 = 0. Calculate h.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234049 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:12 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4005192 is divided by 33942?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50099261 and -759947.\nAnswer: 49339314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3.1 (c) 0.4 (d) -2\/7 (e) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 55336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 301.43\nAnswer: -2411.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49 - l - 88 + 3*l - 3*l**3 wrt l?\nAnswer: -9*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 966 + -916. Suppose 2*h + s = 45 + 65, -h - 3*s + p = 0. What is the lowest common multiple of h and 6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 2*y + 1. Let a be u(-2). Let i = 661 + -656. Solve 5*w - a = 5*d - 43, -23 = -i*d - 2*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030515 (base 6) to base 16.\nAnswer: c62f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28425.9439 and -3.56?\nAnswer: 28422.3839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1783 (b) -10.9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:55 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - (sqrt(84) - (-3*sqrt(84) + sqrt(84)))*-1) - sqrt(84) - (sqrt(84)*3 - sqrt(84))*5)\/(-5*4*sqrt(972)).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.4999 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469158119?\nAnswer: 15551, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 30*i - 204. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + l - 1. Determine d(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/52)*d)\/(d*d**(3\/10)))**(3\/8) assuming d is positive.\nAnswer: d**(531\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.342 greater than or equal to -0.23418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)\/(j*j\/(j*j**1)))\/(j\/(j*j*j**(-2\/7)))**(-46))**(-2\/37) assuming j is positive.\nAnswer: j**(488\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:27 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s. Suppose -6*r = -11*r + 20. What is the tens digit of c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 3:26 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -12. Let x = 14.000001 + t. Round x to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2225089*i**2 - 2538139*i**2 + 1701420*i**2.\nAnswer: -3061808*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s**2 - 7*s - 12. Let f be l(-2). Solve 0 = 3*g, -2*g - 8 = -3*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 12:40 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 21, 1, -17, -27, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*w**2 + 62*w - 212*w**2 + 56*w - 178*w + 60*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2864, 1\/2, -0.4.\nAnswer: -2864, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 17*s + 38. Let g be k(9). Let f be -1 - g*4\/88. Let o = -1.2 - -0.2. Which is the fourth biggest value? (a) -0.4 (b) o (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 105850 (base 9) in base 13?\nAnswer: 22b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 9*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -29 - (-1 + (3 - (1 + -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -24\/13*x**3 + 0*x + 0*x**2 + 0 + 2\/13*x**5 + 22\/13*x**4 = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 7*q - 11. Let c(m) = -m**3 + 3*m + 5. Let k(z) = z**2 + 4*z - 18. Let y be k(-6). Give y*s(i) - 13*c(i).\nAnswer: i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/68 + (-2)\/(-8). Which is the smallest value? (a) -4 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8841 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-8) - (-1)\/(-4). Let i be (-3)\/(-9) - (-56)\/84. What are the prime factors of 59 - (i + c\/(-1))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -2*q - 3*d, -5*q + 4*d = -33. Solve 3*t = q*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 155*o**2 + 2*o + 7. Let c(b) = b**2 - 13*b + 16. Let g be c(12). Let v be a(g). Suppose 0*h - v = -5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d + 1770 - 148 + 748 = 0 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*f - 1388, -2*o - 4*f - 696 = -3*o. Let y = 1683 - o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 2 + 3 - (7 + 6 - 44)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*i - 8*i. Let k(q) = q**3 - 6*q**2 + 4*q + 5. Is 25 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.434 micrograms to tonnes.\nAnswer: 0.000000000869434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 17*q - 1. Calculate j(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8 + 5*j + 0*j - 7. Let g be h(0). Solve -c + g = -x, 4*c + 4*x = -c - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.35203 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 284*d + 3128. Let n be y(-11). Suppose -4*q + 2*q - 4 = 0, -3*s = q - 4. Find the third derivative of -20*w**n + 11*w**2 + 11*w**2 + 5*w**s wrt w.\nAnswer: -480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-48 - -12) + 17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/5 + 984*h**2\/5 - 1947*h\/5 - 2934\/5 = 0. What is h?\nAnswer: -1, 3, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**3 - 1317*i**2 - 71940*i + 36300.\nAnswer: -3*(i + 110)**2*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*c**4 - 344*c**3\/5 + 178*c**2\/5 - 4*c\/5.\nAnswer: 2*c*(c - 1)**2*(85*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 394725911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23196 < -23197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*a - 105. Suppose 5*n = 5*v - a, v = 6*v + 4*n - 15. Find h, given that v*h**2 + 5*h**2 - 3*h**4 - 5*h**4 - 4*h + 4*h**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by 125\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x - 27. Let r be y(2). Suppose 3 = r*m + 3. Solve m = -3*l + 4*o - o - 12, -2*o + 7 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3591b8 + -14d?\nAnswer: 359069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let k = 1\/5 + 1\/20. Which is the second biggest value? (a) -3 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708 - 3*o - 708.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h**2 - 3*h + 2. Let j be m(-4). Let v = -45.6 + 44. Let y = -0.6 - v. What is the nearest to y in 0.12, -4\/5, j?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssmmmmmsmm. What is prob of sequence mmsm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 7*y**2 + 7*y. Let a be (-10)\/25 - (-28)\/(-5). Let t be m(a). Let x = t - -16. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 518\/13, -4, -1, -184 in decreasing order.\nAnswer: 518\/13, -1, -4, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let o = 2205992\/381 + -5790. Let s = 772\/1905 - o. Which is the closest to -3\/4? (a) v (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01254813282 to four decimal places.\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(190) + sqrt(190))*-5)\/(sqrt(50)\/(2*sqrt(320))))**2.\nAnswer: 7782400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puptjpppjl. What is prob of picking 1 l, 1 j, 1 p, and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-15))\/((-9)\/(-15)). Suppose 4*l + l - 3*x = 87, 0 = t*x + 16. What is the remainder when 50 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -6*w + 70 - 80, -4*w = k - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 825 - 198 = 0. What is the remainder when n is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 7460*u - 2782580 = 0.\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 + 3*y**4 - 13*y**3 - 27*y**2 + 36*y = 0. Calculate y.\nAnswer: -4, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 33 - (1 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -19257?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7284350 is divided by 1377.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22744, -90712, -203896, -362296, -565912, -814744?\nAnswer: -1108792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/60 - 5*w**4\/8 - 11*w**3\/3 - 17*w**2. Is 2 a factor of h(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814800 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 (base 6) in base 4?\nAnswer: -11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from jjaacmmmmaaaammcammj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 - 7*m - 5. Let q(v) = 13*v**2 - 15*v - 11. Determine -5*f(c) + 2*q(c).\nAnswer: -4*c**2 + 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2380412 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122405 is divided by 158.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1449679523 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 818380 and 114291?\nAnswer: 66288780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 10 (c) -0.523 (d) -1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6.4. Let j = -0.28 - 35.72. Let u = j - -34. Which is the second biggest value? (a) u (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdvv when four letters picked without replacement from {v: 14, d: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -1, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -334. What are the prime factors of f?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 188, 289, 394, 503, 616, 733?\n\"Answer: 2*o**2 + 91*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 7*y - 3. Let k be d(7). Let h be k*(-2)\/(-2) + -1. Let i be (-1 - 1)\/(h\/10). Solve -3*a - 19 = 2*o - 0*o, 2*a = i*o + 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvn when three letters picked without replacement from nfvnfxnfll.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 24*y**3 + y**3 - 28.\nAnswer: 21*y**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1763963 - -11023963. Round o to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004 less than 0.6?\nAnswer: -6003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16676315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1370, -875, -382, 109, 598, 1085?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1211, -4800, -10769, -19118, -29847, -42956?\nAnswer: -58445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 - 214212*k - 3511732 = 0.\nAnswer: -42826, -82\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/3)\/(5*(-17)\/255)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69408 is divided by 34696?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 220 + 250 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o**3 + o**2 + 19*o - 58. Let t be ((-126)\/(-13))\/2 + 42\/273. Is r(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 637431986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7597.09 + -2922.5?\nAnswer: -10519.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let k(z) = 4*z**2 + 68*z. Give k(v(q)).\nAnswer: 4*q**2 - 68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4\/7 + 84*l**3 - 52058*l**2\/7 + 185640*l - 9768200\/7 = 0.\nAnswer: 17, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1924*q + 1978*q**2 + 1924*q.\nAnswer: 1978*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-3*k**2 + 3*k**2 + 2*k**2) - 1 + 1 + 9*k**2 to the form a*k + c + b*k**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 4*d - 1. Let l be t(1). Suppose -l*c + 3*x = 411, 1 = -3*c + 2*x - 307. Let k = -55 - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4484590390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -60, -76?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 43 = -4*p - 13, 0 = 4*p - 20. Sort y, 1, -4 in descending order.\nAnswer: 1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28\/5 - 26\/5. Let l = 2.3 + -2.52. Let r = l - -0.02. Is r less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 2*b - 3*b)*(b**2 - 4*b**2 + 2*b**2) - b - 1316*b**3 + 3003*b**3 + 9334*b**3 in the form u*b**3 + z*b + n + w*b**2 and give u.\nAnswer: 11023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 15*g**2\/2 + 8*g - 2. Let n(i) = i + 16. Give -6*h(p) + 5*n(p).\nAnswer: 5*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:27 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 126 = -8*s, -7*s - 9*s + 34 = -18*s - 0*s - 2*x for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 3 + 0 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z + 6*z - 12*z. Let i = -2 + 2. Let s(q) = -q + q + q + i. What is s(k(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101011 (base 2) in base 13?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from tntttttttnntttt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:21 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (74438\/2964 - 25) + 6\/114. Let k = -0.1 + 0.3. What is the smallest value in r, -9, k, -1\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgcpveemmcpmvgegm. What is prob of sequence cm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -80. Let k = i + -45. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1)*(10 + -12). Suppose x + x = f. What is the biggest value in 3, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 281*b + 162*b + 136*b as l + m*b**2 + c*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 2 v when four letters picked without replacement from {r: 5, m: 3, v: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.092 and -849.808675.\nAnswer: -849.900675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Suppose -14*d = -18*d - 36. Let k(v) = v. Let f(m) = d*k(m) + 2*w(m). Let c(h) be the third derivative of 3*h**4\/8 + h**2. Determine c(f(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3 + -2)*-3. Suppose 0 = i - 3*n - 30, -63 = -j*i + n + 2*n. Suppose -5*y - 6*w = -0*w - 10, 10 = 5*y - 2*w. Sort y, 1, i in increasing order.\nAnswer: 1, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 855*n**2\/4 + 1731*n\/4 + 2583\/4.\nAnswer: -3*(n - 3)*(n + 1)*(n + 287)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101549533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-120) + 2252\/(-440) + 5. Factor 0*x + 0 - j*x**2 - 2\/11*x**3.\nAnswer: -2*x**2*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/12 + b**3 + 3*b**2 + 26*b. Let j be 3\/6 - 84\/(-8). Let q = j + -6. Determine k(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 105320 rounded to the nearest 1000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12427203 - 1.295?\nAnswer: -1.41927203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4035, -4041, -4047?\nAnswer: -4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 8, e: 3, s: 1, n: 5}. Give prob of sequence ec.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 + -207. Solve b = 21*r - 3*r - 54 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163 - 82. Calculate the remainder when i is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -9?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {i: 1, v: 2, w: 1, j: 1, b: 1, q: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from {k: 2, f: 1, y: 4, m: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330770 and 1718840?\nAnswer: 586124440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33 and -2286608157352.\nAnswer: -2286608157319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1697142*w**6 + 1731849*w**2 - 2?\nAnswer: 203657040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299536656?\nAnswer: 2, 143721041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22643490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -10607\nAnswer: 424.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafffaf. What is prob of picking 1 f and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 128 - 175 = 0. Let y = -97 - r. Suppose 4*n + 2*t - y*t = 182, 5*n + 5*t - 205 = 0. What is the lowest common multiple of n and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 3, 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -12, -16, -18, -18, -16?\n\"Answer: a**2 - 9*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89? (a) 0 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from {q: 3, k: 5, a: 2, h: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-512)\/224 - 10\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.1 + -50. Let z = -33 + 51. Let o = -47 + z. Is o > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(360) + sqrt(360))*3 - sqrt(360))\/sqrt(10))\/(sqrt(480)\/(sqrt(40)\/sqrt(4)) + sqrt(48)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111443 (base 7) in base 5?\nAnswer: -13344202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2)*0)\/(-3). Let j be -22 - (4\/2 + i). Let v be 10\/j - 1\/4. Which is the closest to -0.1? (a) v (b) 0.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p = 4*x + 4, 2*p = 4*x + 4. Let t be (p - 1 - -1)\/1. Suppose t = -5*g - 3 + 18. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -108\nAnswer: 7\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2252 = 5*t - 3*g + 4*g, 2*g - 4 = 0. Let r = t + -313. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416686 is divided by 1734.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315981 is divided by 4147.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/160 + 2*x**4 + 31*x**3 + 11*x**2 - 6*x. Suppose g(c) = 0. What is c?\nAnswer: -124, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(80\/(-200))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7 + -299.\nAnswer: -290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371 + 368. Let w = 16 - 33\/2. Which is the closest to 1? (a) 1\/3 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 + 2*t - 9. Let b be g(-7). Let a = b + -22. Let 2*q - q**2 - 3*q**3 - 3*q + 0*q + a*q**2 + q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8, -5*h + 4*v - 7*v + 13957 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8442, -33768, -75978, -135072, -211050, -303912, -413658?\n\"Answer: -8442*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 18*k - 18*k. Let b(r) = 9*r**2. Give b(p(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.049 + -0.049. Let t = 4495 + -4499. Let a = -19.7 + 20. Sort t, 3, x, a in ascending order.\nAnswer: t, a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -5*j + 2*c, 3*j + 4*c = -5. Let m(g) = -2*g - 1. Let p be m(-2). Calculate the greatest common factor of j and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 48*a**2 + 69*a - 972. Determine r(-46).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/15)\/z*z*z)*z**(3\/41))\/((z**(-1\/16)\/z)\/z**(-8)) assuming z is positive.\nAnswer: z**(-66889\/9840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*k - 78 = 0. Suppose -k*a + 64 = -9*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(-5) - 4\/(-10). Let n(y) = -y**3 - 5*y**2 - 2*y - 7. Let f be n(g). Suppose -72 = -f*p - 0*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*q + 31, 5701*h = 5703*h - 3*q + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbpnpbppibinbpbb. Give prob of sequence npin.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325) + -4 + sqrt(325))**2*-1.\nAnswer: -1301 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -100, -194, -288, -382, -476?\n\"Answer: -94*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + -1 + sqrt(612) - (3 + -1 + sqrt(612)))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**0)*b))**(-26)\/(b\/(b\/(b**(-1\/3)\/b)*b))**(-36))\/(b**(6\/5)*b*b\/(b**0*b))**(9\/7) assuming b is positive.\nAnswer: b**(-3039\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 58. Let i be 27\/(-15)*160\/(-6). Calculate the highest common factor of v and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011011010110100 (base 2) to base 7\nAnswer: 253235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.93 - -0.07. What is the second smallest value in -0.2, v, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5720 and 276806816.\nAnswer: 1384034080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/301, 5, -0.0078?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 4. Let y(t) be the first derivative of 5*t**2\/2 - 5*t - 9251. Calculate -3*l(b) + 2*y(b).\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-195)\/20))\/(-2). Sort -2\/5, -0.1, w, 1 in ascending order.\nAnswer: -2\/5, w, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332 + 31. Let w = -273 - i. What is the highest common divisor of w and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 359*k - 183. Let o(c) = 12*c**2 + 2153*c - 1100. Let v(g) = -13*d(g) + 2*o(g). What is the first derivative of v(y) wrt y?\nAnswer: -4*y - 361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7682*b + 143 = -7695*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -149*x - 10. Suppose 9*h - 8 = 13*h. Let j be t(h). What is the greatest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -24. Suppose -2*v - z = -0*v. Let f = v + 8. Is 3\/17 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 970\/12 - 13\/(-78). Suppose 2*f = -f + q. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 29*c - 317, -4*c = 55*b - 51*b + 192 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -41*v - 5*v**2 + 45*v - 1 + 41*v - 47*v. What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = 2*s. Let v be (-36)\/2*(-18)\/s. Let r = v - -98. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5711*k**4 + k**3 + k**2 + 6309*k.\nAnswer: 68532*k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}