diff --git "a/data/dm_maths/full_data/10204_11255.jsonl" "b/data/dm_maths/full_data/10204_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10204_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 15914246 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let k(i) = i**3 - 3*i**2 + i - 1. Let r be k(y). Is -12 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1845426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 35339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/55 (b) 4\/5 (c) -2 (d) -2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - s - 1. Let h be x(-1). Suppose -5*f = 25, h = -i - f - 26 + 67. Let k = i - 30. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 0.9335 (b) -3 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312284 is divided by 92.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + t**5 + t**5 + 2*t**3 - 2*t**5 - 2*t**3 + (3 - 3*t**2 - 3)*(-108*t**3 - 634*t + 634*t) - t**5 + 3*t**5 - 3*t**5.\nAnswer: 319*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553665, -553666, -553667, -553668?\nAnswer: -553669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4830 and 5334?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 11. Let a be v(8). Let c = 0 - a. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(4\/7)*t)\/(t\/(t*t**(-4\/5)*t))*(t**(-17)\/t)**(-2\/17) assuming t is positive.\nAnswer: t**(2229\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/5, -3, -2\/111, 3 in decreasing order.\nAnswer: 3, 2\/3, -2\/111, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 5*s - 202 + 168, 10*o + 128 = -3*s for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/15 + b**4\/3 + 18*b**2. Find the second derivative of k(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 16*i**2 - 236*i - 902. Determine n(-4).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Let i be 2 - (128\/6 - -1). Let x = i + 20. Which is the third biggest value? (a) x (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 211 - 69. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y - 1. Suppose 5*f = 4*f + 2. Give d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (242\/572)\/((-1)\/6). Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 11*p - 9. Let q be x(-12). Suppose -2*a - 4*l - 219 = 107, q*l = -5*a - 801. Let w = a + 278. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612548759408 take away -0.143?\nAnswer: 612548759408.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 770\/1430*91\/5?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, 3.7, -5, -603 in decreasing order.\nAnswer: 3.7, 1\/7, -1, -5, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -2, 529 in decreasing order.\nAnswer: 529, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1 + 88. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let u(k) = 3*k - 1 + 3 - 3 - 2*k. Let h be u(5). Solve -3*s - i + 12 = -p*s, s - h = 4*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -82125.\nAnswer: -164250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3122*n + 615275. What is j(-186)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*v + 4*u + 2124780, 0 = -4*u - 16. What is v rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9597, 8962, 7903, 6420, 4513, 2182?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 + -59719.37\nAnswer: -59719.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31791 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1284100362 and 5.\nAnswer: 0.642050181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q - 7. Suppose -85 = 7*d - 78. Let g be l(d). Solve 4*v + 6 = r + 6*v, -g = 3*r - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**2 - 188*i - 64.\nAnswer: 4*(i - 16)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, s: 1, k: 1, c: 1, w: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10553 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7518, 8080, 8640, 9198, 9754, 10308, 10860?\n\"Answer: -h**2 + 565*h + 6954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 4, 478, 3 in ascending order.\nAnswer: -3, 0, 3, 4, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 + 15*x**2 - 3*x + 8. Let o be -1*(5 + -3) + 4. Let i(d) = -d**3 + 7*d**2 - d + 4. Let n(t) = o*j(t) - 5*i(t). Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let b(u) be the third derivative of -u**7\/1260 + u**4\/12 - u**2. Let c(g) be the second derivative of b(g). Calculate c(s(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:29 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 378426516 plus -1?\nAnswer: 378426515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 46*q**2 + 25*q - 450. Give v(-45).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.093 + -0.493. Let a = 7 - 4. What is the nearest to -0.2 in a, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-5\/8)*k))**(-1\/3)\/(k**(3\/14)*k**(2\/15)) assuming k is positive.\nAnswer: k**(-249\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 6638*a**2\/3 + 6632*a.\nAnswer: 2*a*(a + 3)*(a + 3316)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 0. Suppose -13*v = 3*n - 11*v + 15, 3*v + 24 = -5*n. Put -1, n, u, 16 in decreasing order.\nAnswer: 16, -1, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037665727 rounded to seven decimal places?\nAnswer: 0.0003767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 23 = -4*c, 5*c + 72*p + 26 = 71*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n - 38. What is the hundreds digit of u(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + u + 5 = -10, 5*u = -2*p - 7. Suppose -150 = -6*y - p*y. Calculate the smallest common multiple of 5 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -181, -364, -713, -1282, -2125, -3296, -4849?\nAnswer: -6838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.56809us in nanoseconds?\nAnswer: 95568.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055347?\nAnswer: 7, 293621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184121.9543 rounded to the nearest one thousand?\nAnswer: -2184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/20 - (5 + (-44)\/8). Which is the second smallest value? (a) 3\/4 (b) k (c) 16\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 12*j - 20 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -38.926.\nAnswer: -311.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20 + 125 = 113*z + 2*n, -21 = 3*z + 3*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6460 - 27.699948.\nAnswer: -6487.699948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlrrrrrlrrlrlrrlqr. Give prob of sequence rlrr.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.399703mm in micrometers?\nAnswer: 399.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 + 7*l + 0*l + 5*l + 213 - 183.\nAnswer: 12*l + 410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1 - (-15 + (-26)\/(-2)). What is the third derivative of 121*j**3 + 3 - 2*j + 91*j**f - 93*j**5 + 2*j + 49*j**3 + 70*j**2 wrt j?\nAnswer: -120*j**2 + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(10\/(-5) + 0). Suppose h = -3*g + 4*u + 12 + 5, 2*u = -4*g + 8. Solve 0*o - 6 = 3*o + 4*w, -4*o - g*w = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-42))\/((-11)\/(77\/4)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (337 - 341)\/(306\/310 - 1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88300\/(-700) + 76 - -49\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 0 (d) 0.7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239701\/46 at least 5210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-407535)\/11029 - (12 - (54 - 5)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 132 (b) -111 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 5*r**3 + 2*r**3)*(-582*r - 1327 - 1321 + 2648).\nAnswer: 1164*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 18*j**2 - 3*j - 2. Let a be v(-2). Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose 0 = 2*o - j*o. Solve o = -l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1224) + sqrt(1224)*-2) + (sqrt(1224) - 1*sqrt(1224)*4))\/((sqrt(2420) - -1*sqrt(2420))\/(2*sqrt(90))).\nAnswer: -162*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -538 - -523. What is the tens digit of ((-5)\/1)\/(h\/465)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + (-39)\/(-7))\/((-10)\/(-7)). Put u, -94, -2\/3 in descending order.\nAnswer: u, -2\/3, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 1402. Let c be (-2)\/(-9) - x\/(-9). Suppose 4*w = -0*w + c. Round w to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/630 and -107\/882?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 11*m - 5. Differentiate 11*g**4 - 25 + 0*g**m + 0*g**2 - 22 with respect to g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0242 and 11781.\nAnswer: 11779.9758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/120 and 7 - ((-6831)\/28)\/(-33)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531325214 to the power of 1\/2, to the nearest integer?\nAnswer: 39132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-228)\/(-42))\/((-5)\/35))\/(6*13\/(-117))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.04 + 45.74. Which is the closest to -1? (a) 1\/40 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-5))\/((-9)\/60). Solve -x + 4 = 4*x - 3*i, 4*x + 4*i + a = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 9*w - 8. Let o be j(-9). Let d = o + 11. Suppose 5*i = -0*i + 10. Solve i*a + d = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4280638*d**2*j**3 - 25*d**2*j**2 - 4*d**2*j - 604*d*j - 2*j**4 wrt j.\nAnswer: -25683828*d**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r - 30 = -3*w, 4*r - 40 = -2*w. Let k(f) = -f**2 + 13*f + 16. Let j be k(w). Solve 0 = 5*d - 5*u - 5, -5*d - j*u + 25 = 3*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40935\/377 less than 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1021211 (base 3) to base 8\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z - 125*z - 4*t - 48 = -222*z, -4*t = z + 81 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*b + 265, 5*v = -4*b + 378 - 13. Let y be (-81)\/(-3)*4\/(-6). Let g = y + b. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.029 and 142.3307.\nAnswer: 142.3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.5418 bigger than 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 22018*m\/9 + 4892.\nAnswer: 2*(m + 2)*(m + 11007)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y - 80. Let z = -635 + 452. Let m = y - z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - z - 5*z)*(-4*z**3 - z**3 + 4*z**3 + (3 + 2*z**2 - 3)*(-z + 0*z + 3*z)) to x*z**4 + v + i*z**3 + t*z + h*z**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0*n**(2\/17)\/n)\/(n\/((n*(n\/(n\/(n\/n**(2\/3)*n)))\/n)\/n))**46 assuming n is positive.\nAnswer: n**(-1558\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from -1264.\nAnswer: -1264.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 7*r + 5. Let b be s(-7). What is the least common multiple of 4 and (1*b)\/((-10)\/(-20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 19*k + 89. Does 12 divide s(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 83*x**2 + 2*x + 2. Let i be n(-1). Let z = 244\/3 - i. What is the nearest to -3 in 2, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525286 to the power of 1\/2, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 - 0.4. Let r = i - 4.1. What is the smallest value in 5, 2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2) - sqrt(2))**2 - (0 + -2 + sqrt(2)).\nAnswer: -sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/439 (c) 3 (d) -0.4 (e) -100\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*v - 4637, -270*o = -268*o + v - 9238. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11))**(3\/14)*(m**(-12)*m*m)**(-6\/7) assuming m is positive.\nAnswer: m**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4*z + 2*b - 10 = 0, -4*z - 12 = -4*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 475027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from yyyyyyhyyyyyyyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 34946?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - -5. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-14) + 6)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 14. What is the units digit of 2\/a + 956\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + u = -10, -2*u - 2*u = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288749\/1393 + -208 - (-268)\/385.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*w - 766108 + 258508 = 91*w. Is w a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let z(x) = 40*x + 7. Give t(z(b)).\nAnswer: 80*b + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7721106 milligrams in nanograms?\nAnswer: 772110.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 4130768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let j(z) be the third derivative of -259*z**5\/60 - 65*z**2. Determine y(j(a)).\nAnswer: -259*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*12 + 0 - 3. Let i(t) = t**2 - 8*t - 6. Let z be i(h). Find w, given that 24 - 3*w**4 + 8*w - 18*w**2 + 4*w - 15*w**z + 0*w**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5100)\/1020*11*-1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 6 = 5*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuttutcppuu. Give prob of picking 1 u and 2 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 3*g**5\/20 - 2*g**2. Let n(v) be the second derivative of -v**4\/12 + v - 23. Determine t(n(y)).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106796074 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(-2\/5)))**6*a**(-5)\/a*a\/a**(-5)*a*a*a*((a**(-1\/3))**37)**(-45) assuming a is positive.\nAnswer: a**(2772\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061968 to the power of 1\/2, to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -21. Suppose 3*t = i*t + 2. Solve -8 = -4*z - 4*w, t*w + 4 = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27999 is divided by 1269.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8) - -2)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133200302 (base 4) to base 2.\nAnswer: -1011111100000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i + 225. Let w be a(0). Suppose -1328*j + w = -1327*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317392 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.004, -4, 4?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262183 + 3?\nAnswer: 262186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdpdkkkk. Give prob of picking 1 g and 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - 54\/4. Suppose -5*w + 59 = -3*a - 7, 2*w - 74 = 4*a. Let j = a - s. Put 13, 3, j in descending order.\nAnswer: 13, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 32, -5, -0.1, -17, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/55 and (-70)\/52 - (-28)\/(-182)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10917125*p**4 + 4112*p**2 - 4849*p + 1.\nAnswer: -262011000*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 612011337867 - 3?\nAnswer: 612011337864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -655 - 692 + 23*q + 1273. Is s(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 4*m. Calculate the remainder when 11 - (11 + -10 - 51) is divided by v(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -2.4431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3193.977 and -0.12.\nAnswer: -383.27724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28832268?\nAnswer: 2, 3, 101, 23789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -20. Let k be ((-3)\/(-5))\/((-3)\/w). Let b(c) = 2*c + 42. Let g be b(-19). Solve -k*x - g*s - 9 = 0, -s - 4 = -x - 0*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d - 3 = 0, -4*f + 15 = -2*f + 3*d. Suppose -u + 4*u = -5*x + 16, f*x + 3*u - 6 = 0. What is the nearest to -1 in x, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 1525*b**2 - 279581*b wrt b.\nAnswer: -6*b + 3050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r**2 - 284*r - 152. Determine n(29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -258*o**2 + 39*o + 20. Let d(q) = 43*q**2 - 6*q - 3. Let x(t) = -13*d(t) - 2*g(t). Let j(z) = 7*z. Determine j(x(s)).\nAnswer: -301*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22085505 and 727242?\nAnswer: 5961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 2 = 370 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 + 43. Let x(y) = -y**3 - 4*y**2 + 7*y - 3. Let f be x(-7). Let u = s + f. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (-2*sqrt(325) - sqrt(325))**2*-1 - (-3*-2*sqrt(325))**2) + -4 + 1 + sqrt(325)*3 + 5.\nAnswer: -14623 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 91\/21 - (-2)\/(-6). Solve -2*g = -5*z + a, 0*z - 5 = 5*g - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1602 - 0.162754. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -37 - (-13 - (-25 + -38)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111220?\nAnswer: 2, 5, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -85 - -70 - (0 + -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36052 (b) 23\/4 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -13, 7, 35, 71?\n\"Answer: 4*o**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 7. Let g be (-2)\/6*18\/2. Let c(w) = -w**3 - 4*w**2 - 2*w + 3. Let x be c(g). What is z(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203884, -815581, -1835076, -3262369, -5097460, -7340349?\n\"Answer: -203899*p**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 3*l - 0*l - i, 4*l = -2*i + 394. Let o = 322 - l. Let y = o - -44. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(80)*-1*2)**2 + sqrt(80).\nAnswer: 4*sqrt(5) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23*z + 30. Let m(p) = -17*p + 29. Give 6*m(x) - 7*w(x).\nAnswer: 59*x - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-290)\/(-40) + -8 - (-55)\/66. Let t(r) be the second derivative of -32*r + 41\/2*r**2 + 0*r**3 - n*r**4 + 0. Find the first derivative of t(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 2*q. Let h(d) = -d**2 - 9*d - 8. What is the units digit of h(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 8*a**2 - 12*a + 6. Suppose 3*q + 8 = -19. Let k be d(q). Suppose 4*f - k = 31. Solve 2*x = -2*x + f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/147*77\/385?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 11*t**2 + 19*t - 8. Let b be l(9). Suppose 0*u + 2*u - 5*p + 5 = 0, -b = -3*u - p. Solve u = -4*a - k - 11, 6 - 15 = -4*a - 5*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**3 - 4*n + 4. Let g(b) = -b**3 - 11*b**2 - 7*b - 5. Let h be g(-10). Let m(j) = -80*j**3 + 35*j - 35. Determine h*o(p) - 4*m(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 1*(3 + 3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrr when four letters picked without replacement from grgqrrrrrrrgrqr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22858861 to the nearest integer?\nAnswer: 4781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 560523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700218 + 99241 - 248172 = -47*q. What are the prime factors of q?\nAnswer: 7, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/((sqrt(120)\/sqrt(2))\/sqrt(10)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r = 658475 - 660648 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011211 (base 4) in base 3?\nAnswer: -20002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/720 + 17*l**5\/120 - 275*l**4\/144 + 25*l**3\/4 + 6*l**2 - l - 120. Factor i(z).\nAnswer: -(z - 45)*(z - 5)*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8986 = -1259*c + 7095 + 24082 + 34118 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 9 = 3*o. Suppose -q + 5*r + 3 = 0, 2*q - 2 - 4 = 3*r. Which is the biggest value? (a) o (b) 17 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a - 26*a + 166*a + 241*a.\nAnswer: 490*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 51. Let p = 73 - w. Let s = -25 + p. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/5, 4, -0.23, -0.019?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21711928 by 10855964.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + -2. Suppose y + 102 = 4*f - 12, -5*f + 3*y = -139. Let r = p + f. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8955581.\nAnswer: 8955581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1. Let y(a) = 4*a**2 - 1. Determine 4*t(w) - 4*y(w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reabkkses. What is prob of sequence kkbr?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20276\/147 < 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3052 + 3085. Calculate the remainder when 587 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.08, 0.3, -64\/3, 2.37 in ascending order.\nAnswer: -64\/3, -0.5, 0.08, 0.3, 2.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 3. Let l(k) = -k - 2. Let p(n) = 3*l(n) - 2*w(n). Let s(o) = -3*o**2 - 9. Let h(z) = z**2 + 4. Let q(f) = 9*h(f) + 4*s(f). Determine p(q(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3379, -3358, -3343, -3334, -3331?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 12*a + 10. Let w = 17 + -1. Suppose 42 = 17*d - w*d. Suppose -2*g + 0*x = -5*x + d, 3*x + 21 = -3*g. Give b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 449563, 899158, 1348789, 1798456, 2248159, 2697898, 3147673?\n\"Answer: 18*c**2 + 449541*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 684?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*h + 6 - 8 + 306*h to the form b*h + r and give b.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115535 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 30024769.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 39*p**2 - 2*p - 17. Is h(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*-3*(6*(1 + sqrt(99)\/sqrt(36)))**2.\nAnswer: 324*sqrt(11) + 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145065636?\nAnswer: 2, 3, 461, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -b, -5*b - 4*s = -0*b - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8102 + -4293. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 8*c. Let p(j) = -5 + 1 - 3*j + 7. Let q be p(3). Is k(q) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26900 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 16*f - 10. Let w be c(17). Let g(u) = u**3 - 6*u**2 - 7*u + 1. What is g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*11077126\nAnswer: 22154252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 + 2 = 0, 3*v = -3*n + 21. Suppose -3*y + 222 = 3*f, 2*y + 3*f - 83 = 64. Suppose -y + 19 = -v*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 16 - 2) + (125 - 109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) 2\/17 (c) 0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-6 - 888\/(-56))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1018076*x**4 + 18*x**3 + 43*x - 100684 wrt x?\nAnswer: 12216912*x**2 + 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2. Let u(m) be the first derivative of -m**3\/3 - 47*m**2\/2 - 355. Calculate r(u(x)).\nAnswer: 7*x**4 + 658*x**3 + 15463*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249699 is divided by 82820.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a*u**4 - 139*a*u**3 + a*u**2 - 18855*a*u + 2*u**4 - 3701*u**3 + 6*u**2 + u - 3 wrt u?\nAnswer: 192*a*u - 834*a + 48*u - 22206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(2*sqrt(3)))**2 - ((sqrt(19) - (3 + sqrt(76)))**2 + sqrt(19)).\nAnswer: -7*sqrt(19) - 93\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjjdkddddddbd. Give prob of sequence kj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 6) + 0 - 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.61183 rounded to two dps?\nAnswer: -14.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -113441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1608 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(12\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2. Let g(v) = v - 5. Let l(m) = -2*m + 6. Let s(r) = 6*g(r) + 5*l(r). Calculate b(s(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 36 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmv when three letters picked without replacement from wwwmvwwvwmvwmwwmwvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 69. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/6 - o**2 + 3*o. Let u be c(6). Suppose -u*t = -8*t + 288. Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 minutes after 6:33 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let d be (-3)\/(-2) - (-9)\/a. Let p = 2 - d. Solve r - x - 4 = -11, -4*x = -p*r - 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -45*l + 804. Give i(21).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 13. Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 603 + 11192. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/33)\/(1\/(-6)). Let i(g) = 4*g**3 - 5*g**3 - g**3 - 5*g**2 - 3*g - 2. Is i(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15493805*t**5 - 3*t**2 + 2*t - 40716765 wrt t?\nAnswer: -309876100*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.4. Let p = 53019\/10 - 5309. Let d = p - -43\/5. Put r, -5, d in decreasing order.\nAnswer: d, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 6, -4, 0 in decreasing order.\nAnswer: 6, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(76) + 1 + -3*sqrt(76) + sqrt(76) + -5 + (sqrt(76) - (sqrt(76) + 2 + sqrt(76)))*5 + 1 + -5)**2.\nAnswer: 480*sqrt(19) + 3137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 2929, 6, 155?\nAnswer: 2929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/12*m**4 + 1\/10*m**5 + 0*m**3 + 0*m + 8*m**2 + 0. What is the tens digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/127 (b) 0.3 (c) 0.08 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 + 6 - 6)*(-3 - 1 + 3) + 1 + 1 - 1 + (-3 - 1 + 3)*(1 + 4 - 3))*(3*p + 5*p - 3*p).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**2 - 1605*a - 15708.\nAnswer: 3*(a - 68)*(9*a + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3577.08 - 367.92. Which is greater: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 1. Let m(h) = h**2 + 8*h + 7. Let q(p) = m(p) - 4*r(p). Let q(u) = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3066*o**2\/11 + 6*o\/11 = 0?\nAnswer: 0, 1\/511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/8 + m**3\/2 - 7*m**2 + 4*m. Let x(r) = 6*r - 5. Calculate -5*j(b) - 3*x(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44158062 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*n + 5*v - v, -9 = 2*n + 5*v for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -868.9 - -869. What is the closest to 0.1 in -17, s, 1\/4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 51. What is f(0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8606 + 8605.7. What is the closest to r in -1, -0.2, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5059 = -43*m - 4930. Let r(w) be the first derivative of 1\/15*w**2 - 15 + 0*w - 2\/45*w**m. Factor r(n).\nAnswer: -2*n*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from iiqibqbiyqqqqq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1064 - -1005. Sort -4, -2, 2, o.\nAnswer: o, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4246 and -79\/3726.\nAnswer: 7910298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 11. Calculate the remainder when 79 is divided by d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) -15 (b) 0.5 (c) -4 (d) -0.165 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101110100001111111 + 10101?\nAnswer: -111101110100001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/3690 and 179\/2872050?\nAnswer: 8616150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 541*p - 1. Let i(n) = n. What is m(i(g))?\nAnswer: 541*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 974\/40801 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/4 - 51*s**3\/4 - 3*s**2 + 51*s = 0.\nAnswer: -2, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + b + 9, b - 2 = -r. Find the third derivative of -63*j**6 + 103*j**6 - 57*j**r + 184*j**2 + 2*j**4 wrt j.\nAnswer: -2040*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*2)\/(sqrt(90) + -2*sqrt(90)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1592*c - 1755*c - 1110*c)*(0*c + 0*c + c) to the form b*c**2 + r*c + q and give b.\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p + 18*p - 8*p - 47*p in the form k*p + i and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*2*(5 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713062348?\nAnswer: 2, 3, 7, 19, 3579613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -16. Suppose -30*o + 455 = -x*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 4*n + 803 = -2*r, -5*r + 4*n + 827 = 0. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 5. Let m be x(-10). Let v = m + -19. Sort -1, v, 22 in decreasing order.\nAnswer: 22, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 8, -201*m + 397*m + x = 199*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(25\/(-5)) + 7\/5524*788. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-5 - 287\/(-56)) + (-81)\/8). Solve -3*r = w + 32 - 21, 0 = -r - 3*w - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 2 - (1 - 76). Let j = f + -46. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b65 + a00?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + m**5 + m**2 - 2*m**5 + (20 - 20 - 24*m**3)*(m**2 - 3*m**2 - 3*m**2).\nAnswer: 119*m**5 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 58167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let a(i) = -11*i + 0*i**3 + i**d + 0 + 9*i**2 + 5 - 3. Let r be a(-10). Solve -3*h = -7*h - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 2:34 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 3*g + 11*g**2 - 10*g**2 + 4. What is w(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + -3)*4)**2 + 2 + (sqrt(75) + sqrt(75) + 2)**2.\nAnswer: -440*sqrt(3) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -79000 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1736*i**2 - 573*i**2 - 576*i**2 - 588*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b + 290. Let h be t(12). Let i be (-1*1)\/(1\/(-55)). Suppose 0 = -i*r + h*r + 25. Solve -2*c + 3*m - 15 = -2*m, r*c + 2*m = 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 629326680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = -8*r + 53 + 67 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 7:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -482.16572.\nAnswer: 481.16572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*n + 86*n + 76*n - 17*n**2 + 34 as t*n**2 + g + i*n and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061705753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14454926\/335 + 43149. What is the common denominator of 8\/515 and a?\nAnswer: 34505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95928*s + 95915*s = 364 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -41607871 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 3*m**2 + m**2 - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0 + 4 + -3. Let s(i) = 70*i - 1. Is s(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266781 or -265545?\nAnswer: -265545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-22 - 16 + 48)*(-1551 + 44*w + 1551) - 5*w + w + 2*w to the form p + b*w and give b.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 22 = -3*t. Let c = 24 - 2. Let b = c + -8. What is the lowest common multiple of t and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 234698.22 months?\nAnswer: 1955.8185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -7, 0.036, -0.1, 5, 4?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48323664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v - 9. Let s be l(-7). Suppose -2*a - a = -s. Suppose 4*m - a = 3*m. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11807 + -5466. Suppose -16*o + s = -1163. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53823 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*3*4 + 1*1*sqrt(2).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 11:09 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 82, 135, 212, 319, 462, 647, 880?\n\"Answer: b**3 + 3*b**2 + 19*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 4*n + 420 = 0, 4*i = 2*n + 880. What is the tens digit of (-5)\/((-10)\/i) - 20\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001014 (base 5) in base 6?\nAnswer: -200543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {x: 17, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 14. Suppose 6*w - 3*w - 27 = 0. Let i = w - s. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.944 - 0.056. Put -6\/7, 1.4, y in ascending order.\nAnswer: y, -6\/7, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 8*w**3 + 72 - 3*w**3 + 19*w**3.\nAnswer: 5*w**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.4525.\nAnswer: 2.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p\/(p\/p**5)*p*p**(-4)*p*p*p**(2\/5)*p assuming p is positive.\nAnswer: p**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 288140006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660543603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 12. Suppose 5*l = -5*c + p, -3*c + 5*l = l - 47. What is the highest common divisor of 81 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3)*(14 - 10). Let u(l) = l**3 + 6*l**2 - 9. Let k(m) = m**2 - 1. Determine w*k(i) - u(i).\nAnswer: -i**3 - 2*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 5536, 1, -3, 0.2, -8 in decreasing order.\nAnswer: 5536, 1, 3\/7, 0.2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t + 6. Suppose -5*r + 35 = -0*r. Let i be q(r). Suppose i - 353 = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -204, -291, -362, -411?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 6*u - 6. What are the prime factors of z(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -142, -227, -326, -439, -566?\n\"Answer: -7*b**2 - 50*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 56*c - 62. What is v(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436277.4ng to kilograms.\nAnswer: 0.0000004362774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 22. Let j be a(9). Suppose v = j*v. Solve -y - 2 = -2*n + 2, v = 2*y - 5*n + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 6 + 2*q + 1 + 7. Let y(v) = -7*v**2 + 4*v + 4. What is -5*x(b) + 2*y(b)?\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.0000024. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033821 a multiple of 1461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {q: 16, z: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**3 + 12 - 5*d**3 + 11*d**2 - 8*d**3 + 8*d. What are the prime factors of q(-7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 43 - (-6 - -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*w + 8*w - 1634, 0 = 4*w + 4*k - 2176. Calculate the remainder when w is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*y - 8309, 6*y - 7*y + 4137 = 2*o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.19 (b) 0.3 (c) -4\/5 (d) -3\/8 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2. Let x(c) = -4*c. Let p(f) = -f**2 - 6*f - 6. Let t be p(-5). Let w be x(t). Let h(g) = -g**2 + w*g**2 + 9*g**2. Calculate h(o(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Let a(w) = -w**2 + 2*w + 1. Let g(r) = -r**2 + 4*r + 3. Let d(i) = n*a(i) - 3*g(i). Let y(z) = -4*z**2 - 3*z - 7. What is 7*d(x) - 4*y(x)?\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/(w\/(w*w**6))*(w*w\/(w\/(w**(2\/53)\/w)))\/(w\/((w**(-2\/57)\/w)\/w)) assuming w is positive.\nAnswer: w**(29227\/9063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510872 and 1021744.\nAnswer: 1021744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2)*y**16*y**(-18)\/y**(2\/5) assuming y is positive.\nAnswer: y**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04231 to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 288? (a) 1 (b) -5 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6118 and 14925022.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmthmhhmmmnm. Give prob of picking 1 h and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/121, -0.29, -2, 487\/6?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*u + 75 - 9 = 0, 2*u - 12 = -2*t. Let d(f) = 4*f + 2*f + 2*f - t. What is the tens digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n)*(6*n**2 - 3*n**2 - 4*n**2) - 65*n**3 + 10424*n - 10424*n - 4*n**3 + 0*n**2 - 6*n**2 + n**3.\nAnswer: -70*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4724732 weeks?\nAnswer: 4762.529856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:08 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 11. Let x be a(-11). Suppose 0 = d - x - 6. What is the units digit of d\/27 - (-61)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 9*q**2 - q - 9. Give c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 42 = -3*h, 3*p - 4*h - 35 = 28. Let m(q) = 17*q - 8*q + 99*q + p*q - 1. What is the hundreds digit of m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -22*z + 17. Calculate s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - 11.5. Let n = 10 + g. What is the closest to 0 in 5, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7)*d)**(2\/11)\/(d**(-2\/15)*d**(-8\/7)) assuming d is positive.\nAnswer: d**(3364\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 55.376.\nAnswer: -5.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 16 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16))**(2\/15)*(b*(b**(-8)\/b*b*b)\/b*b)**29)**(-27\/2) assuming b is positive.\nAnswer: b**(11889\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3c351 (base 13) to base 12\nAnswer: 55210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -2485.91.\nAnswer: -2485.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12 - 95\/(-8))\/((-10)\/(-8)))\/(-1). Which is the second smallest value? (a) 0.5 (b) l (c) 165 (d) -0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144.2 + -143.8. Which is the biggest value? (a) 11\/9 (b) d (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 1) + 9 + 1 + 40 + -55.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r = 21*r + 123*r - 1170 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 20*g + 75 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 1:57 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 780.2 in 3\/2, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i - 5*u + 30 = -53*i, 0 = 2*i - 4*u + 54. Let w = 25 + i. Factor -m**2 - 5\/4*m**4 + 2*m**3 + 0*m + w + 1\/4*m**5.\nAnswer: m**2*(m - 2)**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/4 + 15\/(-20). Suppose q + 14 = 4*v, t = 3*v + v - 5*q. Solve -2*h = 2*r - 10, 5*r + 0*h + v*h - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -5689?\nAnswer: -568.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4058*y + 3777*y + 1162*y + 3243*y - 1539*y.\nAnswer: 10701*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -795*i*x**5 + 94*i*x**4 + 9214*i*x - 15*i wrt x.\nAnswer: -15900*i*x**3 + 1128*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0183 - -0.2183. Suppose 2*a - a + 7 = 4*d, a = -3*d + 7. Let x = 6 - 7. What is the closest to a in x, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:40 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3640755, -7281510, -10922265, -14563020, -18203775, -21844530?\n\"Answer: -3640755*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 525 + -523. Solve 3*x = x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8094 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 10*h**2 + 45*h - 64. Let z = 40029 - 40016. Determine v(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.43 - -0.27. Let d = 5 + -17. Let k = d + x. Which is the nearest to -1? (a) 1 (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 36.36761t?\nAnswer: 36367610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -375a (base 16) to base 15\nAnswer: -42ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fwwwwwfffwwwwwwfwf.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 1\/120*x**5 + 12*x**2 + 0*x**3 + 1\/480*x**6 + 0*x + 0 + 0*x**4. Suppose r(w) = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8378 + 8378. Let p(b) be the first derivative of 0*b + 1\/3*b**6 + 0*b**4 + 2 + u*b**5 - 19*b**2 + 0*b**3. Find the second derivative of p(j) wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*m + 135*m = -81*m - 480 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((2 - -11) + -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 2. Let c be o(2). Let s = 8 - c. What is the remainder when 34 is divided by 8\/s + 68\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 146.7?\nAnswer: -146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a + 6. Let h = -10 - -11. Suppose -3*w + 5*l = -2, -h = w - 4*w + 4*l. Let m be (-1)\/w - (1 - 4). What is k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 848 - 560. Calculate the smallest common multiple of d and 30.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -7.6. Which is the closest to g? (a) 0 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 2. Let f be a(3). Let x = f - -1. Find the third derivative of r**x + r**2 + r**6 - 4*r**6 + 5*r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139697839*d**2 + 4*d - 10333446?\nAnswer: 279395678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*f - 1. Let t be (-10)\/(1 + 9\/f). Suppose -11 = 2*v - t. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625852.6kg to grams.\nAnswer: 625852600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 3 - v + v**2 + 2*v + 2*v**2 + v**2 - v**2 + (v**2 - 4*v**2 + 4*v**2)*(1 - 1 + 1) + 7*v**2 + 10*v**2 - 8*v**2.\nAnswer: 14*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-1 + 2))\/((-50)\/525). Let m(a) = 21*a + 1. Let b be m(-1). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 37?\nAnswer: 25\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -10.1. Let j = 6 - p. Let o = j - -3.2. What is the second smallest value in -3\/5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 + 4*n + 5. Let m be a(5). Let s = 73.61 - 1.11. Let c = -73 + s. What is the biggest value in m, -5, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-2 - (8 + (-6 - -2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 6, y: 6, h: 3, a: 1, s: 1}. What is prob of sequence an?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35336715481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/5649 and 39\/102758.\nAnswer: 2157918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 14*g + 112 = 0, 32 = -4*j + 8*g + 13*g - 25*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786289848.\nAnswer: 2, 7, 23, 37, 37483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2\/7 (c) 0.7 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 53*t = -800. Suppose -4*y + 5*q + 63 = -155, -3*y - 2*q + 175 = 0. Calculate the remainder when y is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (1572\/(-36) - (-2)\/(-6)). Suppose 21*k = 13*k - b. Let y(u) = -10*u - 44. Let q be y(k). Solve -4*o = -5*g - 7 - q, 0 = -o + 5*g + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3494 - -6122. List the prime factors of f.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(116\/(-40))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10*c**2 + c - 2. Let n be a(-6). Suppose 2*i - 64 = n. Suppose u - 5*u + i = 0. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + -3 + sqrt(153) + sqrt(153) + (-1 + sqrt(153))*3)*1 + 1.\nAnswer: -27 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 9*c**2 + 8*c + 14. Let j be a(-7). Let t = j - 106. Let p = -38 - t. Calculate the remainder when 23 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15920886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35841, -71684, -107527, -143370, -179213, -215056?\n\"Answer: -35843*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-2) - 4) + (-3 - -4). Let q(j) = -5*j + 1. What is the remainder when q(k) is divided by (-3)\/(0 - 1) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-9)*f*f))**(-39)\/(f**13*f\/((((f\/(f*f*f**(-2\/45)*f))\/f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(-14848\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 3. Let f be k(3). Let n = -6 + 4. Let q = n - -2. Solve f*p - 4*p = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 39. Let u(t) = 6*t**2 - t**2 - y*t**2 - 4*t**2. Let x(a) = 3*a**2 + 5*a. Let p(h) = -3*h**2 - 6*h. Let c(v) = 5*p(v) + 6*x(v). What is u(c(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47482500 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.5611 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2*r - 4, w - 14 = 67093*r - 67095*r + 10 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 107. Suppose 6*f = 88 + 8. Calculate the greatest common divisor of h and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(170\/(-7565)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 982, 984, 992, 1012, 1050, 1112, 1204, 1332?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 7, -5, 4\/5, -9 in descending order.\nAnswer: 7, 4\/5, 3\/4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 263.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p - 7. Let j(h) = -38*h - 37. Let r(w) = 22*d(w) - 4*j(w). Give r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)\/(m\/(m**5\/m)*m*m)*(m*m*(m\/(m\/m**(-4)*m))\/m)\/m**(-3\/2) assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpapaa. What is prob of sequence kp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1168 in 0.0172, 0, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-10) - 10\/(-50). Let n(f) = -f**3 - 5*f**2 - 4*f + 1. Let k be n(y). Let a be 104\/462 + (-2)\/7. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287 - -1277. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19284676 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2454367472911\/520 + 4719939757. Let s = z - 29988\/13. Let k = 125939\/11532 + -4\/961. What is the common denominator of s and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 46 + 20 + 12 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 1526 - 8. Suppose -k + z = -84, 37*k - 34*k - 262 = -2*z. Suppose k - j = -2*w. What is the highest common divisor of 42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*o = 14, 29 = 4*c + 14*o - 15*o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 422636527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 1. Let k(a) = 17*a + 4965. Calculate k(t) - 4*p(t).\nAnswer: t + 4969","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 11131132302010?\nAnswer: 11131132302003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 233000 greater than 2562984\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1*sqrt(99) + -3 - (sqrt(132)\/sqrt(27))\/sqrt(4))**2.\nAnswer: -34*sqrt(11) + 3260\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569242?\nAnswer: 2, 43, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -104\/7*x + 26*x**2 - 66\/7*x**3 + 8\/7 = 0?\nAnswer: 1\/11, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/6 - 1295\/338. Is b smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 42033*u + 651. List the prime factors of v(2).\nAnswer: 3, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + 44 + -71 + -27?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -8. Let x(s) = -4*s + s + 3 + 8*s**k - 7*s**2 - s. Let z be x(4). Let m(t) = -3*t. Determine m(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - (sqrt(170) - ((sqrt(170) + sqrt(170) + sqrt(170) + -2*sqrt(170))*-1 - sqrt(170)))))\/sqrt(10) - (sqrt(833) + 0 + -1))**2.\nAnswer: -16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.911 - -47. Let k = s - 0.489. Sort 2, k, 1\/4 in decreasing order.\nAnswer: 2, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -30adcc7?\nAnswer: -30adcba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.264817219 rounded to three dps?\nAnswer: -2.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -335, -1\/2, 0.33, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d + 144*d + 710 = 30*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Let y = -11 - -13. Suppose -5*m - q + 59 = 0, -y*m = -4*q + x*q - 26. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -5*u**8\/1344 + 31*u**7\/28 - 9853*u**6\/96 + 9331*u**5\/4 - 453005*u**4\/24 + 1897*u**2. Solve d(l) = 0 for l.\nAnswer: 0, 7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839661 take away -6820919?\nAnswer: 11660580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, 0.4, -513?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*j + 270*j - 72 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.036, -2, 1\/6, 0 in decreasing order.\nAnswer: 5, 1\/6, 0, -0.036, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -20*n + 1\/16*n**5 - 5\/24*n**3 + 11 - 1\/24*n**4 + 1\/4*n**2. Let t(s) be the first derivative of j(s). Factor t(o).\nAnswer: (o - 1)*(o + 1)*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 325, 723, 1277, 1987, 2853?\nAnswer: 3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.3. Let l = f - 1.2. Let c = -0.6 - l. Sort -0.5, c, -0.2 in ascending order.\nAnswer: -0.5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 773, 1464, 2731, 4574?\n\"Answer: 288*r**2 - 173*r + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/921 (b) -0.146 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k + 27. Let t be i(2). Suppose 0 = -4*o - t*h + 60, 28 = 2*o + 2*h - 4. Calculate the least common multiple of o and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1 - 10)*((-621)\/46)\/27. Let k = 0 - 1. Sort k, r, 0.2 in ascending order.\nAnswer: k, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/3*l**3 + 43\/12*l**4 + 0 - 31*l - 13\/2*l**2. Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10541 (base 8) to base 14.\nAnswer: 189b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2152, 2139, 2126, 2113, 2100?\n\"Answer: -13*n + 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -55*r**2 - 65*r - 65. Let v(p) = 5*p**2 + 6*p + 6. What is -6*a(b) - 65*v(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2451*t - 2265*t - 1444 - 5810 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -8*q**2 + 10. Let i(u) = 2*u. Calculate i(b(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2332 + 2334. Solve w = -7*i - 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 189. Let x = v - -61. Does 15 divide 502\/6 + -3*4\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234140021 (base 5) to base 2.\nAnswer: 100001000100101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:39 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 4, -3868 in ascending order.\nAnswer: -3868, 4, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 1404*c + 14. Calculate r(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62001 (base 7) to base 16.\nAnswer: 3af5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 3*y**5\/20 - 15*y**2. Let u(z) = 2*z. Calculate t(u(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 80 = -n. Suppose -128 + n = -3*s. Calculate the lowest common multiple of 7 + (-9 - -16 - 11) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.049 and 3524.81.\nAnswer: 3523.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -1)\/(1\/(-2)). Let b(i) = -i**2 - 14*i + 2. Calculate the remainder when b(v) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27882347, -55764696, -83647045?\n\"Answer: -27882349*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152618*s**2*u**2*z - 11*s**2*u*z - s**2*z - s*u*z - 439*s*u - 9*u**2*z + 305*z wrt u?\nAnswer: 305236*s**2*z - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-24) - 7763\/52. Let c = d - -32053\/208. What is the common denominator of -81\/2 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -1\/2*a**3 + 0 + 0*a**4 + 6*a**2 + 1\/30*a**6 + 0*a + 0*a**5. Differentiate g(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/2, -2\/123 in increasing order.\nAnswer: -1\/2, -2\/123, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10311351 (base 6) to base 14.\nAnswer: -7d199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 254?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -279991, -559989, -839987, -1119985, -1399983, -1679981?\n\"Answer: -279998*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 + 1971*n - 11*n**2 + 15*n**2 + 18*n**2 - 36*n**2.\nAnswer: 2*n**2 + 1971*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (8 - 15 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -117 + v**2 + 5*v + 124 - v. Is 2 a factor of t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38152272 minus -93?\nAnswer: -38152179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u + 13. Let a be o(-4). Let n(i) = 2 - 4*i - 2 + 7. What is the tens digit of n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(112\/140 + (-246)\/420)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 74. What is a(0)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - b + 2*b + 20 = 0, 2*x + b + 3*b - 1682 = -1684 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((sqrt(1053) - ((2 + sqrt(1053))**2 + -4)) + sqrt(1053) + -3)*-2).\nAnswer: -10575 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.037029.\nAnswer: -0.185145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a**2 - 29*a**2 + 24*a**2 - 20*a**2.\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*1 + sqrt(7) + -3)**2 + -2.\nAnswer: -48*sqrt(7) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -75*v**3 - v**2 - 2*v - 1. Let c be m(-1). Let y = 127 - c. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h\/h**(-3\/4)*h)*h*h**(5\/7)*h**(21\/4)*h*h*((h\/(h\/(h**(2\/11)\/h)))\/h*h)\/h assuming h is positive.\nAnswer: h**(523\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1730876, -3461743, -5192610, -6923477, -8654344?\nAnswer: -10385211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/(18\/4*25*(-44)\/(-9900))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*p + 24 - 4300*p + 18 - 42.\nAnswer: -7780*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 8 + 12 + 17 - 67*h - 53 to the form r + n*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 241*z**6\/40 + z**5\/30 - 677*z**3\/2 - 552*z**2. Find the third derivative of v(c) wrt c.\nAnswer: 4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -473.9 + 449. Let j = 26 + h. Let i = j + 0.9. Which is the closest to 0? (a) i (b) 0.4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7355927 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45591.\nAnswer: 3, 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 1148. Give p(-51).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036826833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s + 3*u, -s + 3*u + 6 + 3 = 0. Suppose -3*o = 1 - 7. Let i be ((-3 - o) + -3)\/(-2). Calculate the greatest common divisor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*p + 4 = 0, 3*j = 2*p - 6*p - 4. Let l = -7.3 + 7. What is the closest to j in -5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -120*k**4 + 10*k**3 + 420*k**2 - 440*k + 65. Let w(i) = -11*i**4 + i**3 + 38*i**2 - 40*i + 6. Let s(t) = 6*m(t) - 65*w(t). Factor s(r).\nAnswer: -5*r*(r - 2)*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1088))**2 - (sqrt(17) + -2)*-3 - ((0 + sqrt(612))**2 + 3 + sqrt(17) + -2).\nAnswer: 2*sqrt(17) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from eeeeeppeeeeee.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6255735.6 rounded to the nearest 1000?\nAnswer: -6256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 17. Let i(l) be the first derivative of l**3 - 5*l**2\/2 + 5*l + 65. Let s(b) = 4*b**2 - 6*b + 6. Let g(j) = -6*i(j) + 5*s(j). Calculate g(k(p)).\nAnswer: 2*p**2 + 68*p + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3\/5*z**2 + 0*z + 1\/5*z**5 + 0 - 1\/5*z**3 + 3\/5*z**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 12 (c) -1\/6596 (d) -1489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -243.9\nAnswer: -1219.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1.64, -2, -4, -0.4 in ascending order.\nAnswer: -4, -2, -0.4, -0.2, 1.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**3 - 808*c + 808. What is p(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063, -1175, -1287?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0513 - 0.9487. What is the third biggest value in 5\/6, 2\/21, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.47 + -29.51908. What is i rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -43*b - 28. Let p be r(-8). Is p\/(-6)*2*12\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 3\/2, 48, 0.19775 in descending order.\nAnswer: 48, 3\/2, 6\/13, 0.19775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3)\/(108 - 104)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(y + y - 7*y) + 3*y + y - 2*y)*(-y**2 + y**2 - 3*y**2) to the form s*y + x*y**2 + i + b*y**3 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-6) - -1 - (-117)\/((-27729)\/316)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138280 = 3214*w - 57774 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, -2, 49 in decreasing order.\nAnswer: 49, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1060\nAnswer: -1\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r**3 - 7*r**2 - 4*r - 5. Let b(i) = 44*i**3 - 19*i**2 - 11*i - 14. Calculate -4*b(v) + 11*j(v).\nAnswer: -11*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 595795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 + 417. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2 and -11\/702510.\nAnswer: 702510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:14 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + 2. Let l(r) = r**3 - 7*r**2 - 7*r - 4. Let u be l(8). Solve -3*v - u = f - 10, -k = -f - 2*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let o(v) = -2*v. Let q(t) = 6*t + 4. Let r(u) = -7*u - 5. Let c(p) = 5*q(p) + 4*r(p). Let f(a) = -5*c(a) - 6*o(a). Calculate f(k(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 98797.8 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 2238228900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 284975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344076 (base 10) to base 16.\nAnswer: 5400c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n = -15. Let b(h) = 4*h**2 - h**2 - 2*h**2 + 2 + 3*h. Does 11 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 + 45 + 2*n - 80 - 28*n**2 + 5*n**2 - 5*n**2 - 2*n**2 + 2*n**2 - 2*n**2 - n**2 + (-2*n + 3 - 3)*(n - 3 + 3).\nAnswer: -33*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.9 - -22. Let o = l + -0.1. Let s = o - -1.3. Which is the nearest to -1? (a) 0.1 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174900108796917+-0.9\nAnswer: 174900108796916.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (52\/182 - (-1731099967)\/(-7)). Round s to the nearest 1000000.\nAnswer: 247000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/90)\/(6\/15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 117*r + 5 + 2*r**3 - 2*r**4 + 0*r**4 + 118*r to o*r**3 + n + f*r**2 + s*r + x*r**4 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * 81.\nAnswer: -145.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 372 = 60. Calculate the greatest common factor of t and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 126 = -14 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 1:52 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826346 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p + 2. Let g(w) = -w + 1. Let z(i) = 2*g(i) - s(i). Let t(m) = 35*m**2. What is t(z(c))?\nAnswer: 140*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 220033 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccqqqqqwc. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 6*w - 3*w + 5*g, 526 = 4*w - 2*g. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3451 and 188?\nAnswer: 648788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 12*h**2 - 12*h + 15. What is the lowest common multiple of d(11) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/20 - 11*b**4\/24 - 8*b**3\/3 + b**2. Let i be z(-6). Sort 3, -1, i in decreasing order.\nAnswer: 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/7, 154, -1\/3, -0.372, -2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -476 - -483. Which is the third smallest value? (a) i (b) -4 (c) -71 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 20. Give b(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**7*w**(3\/7))\/(w**(4\/3)\/((w*w**6)\/w)) assuming w is positive.\nAnswer: w**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18680509.6 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 31*v - 1 + 1 as g*v + j and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u - 6. Let n(p) = p - 1. Let i(r) = -5*n(r) + y(r). Let g be (-58)\/(-87) - ((-5)\/(-3) - 0). Give i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 38*l - 6*l - 19*l - 1 - 100*l**3 - 7 - 15*l to the form u*l + z*l**2 + t + d*l**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 2*o. Let w be q(2). Let p = w + -24. Let z be 8 - 5\/((-30)\/(-18)). Solve -h + 4 = z*k, 7*k - 4*k + p = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 3 + 7*l + 5*l.\nAnswer: 20*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 14*y**2 + 14*y - 9. Let w be g(-16). Let a be 2\/3 - (-182)\/6. What is the highest common factor of a and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821664271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-3) + (-2 + -1 - 26). Let i = 32 - z. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5755.\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.061 (b) -5\/4 (c) 0.01 (d) -3\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 213 = -195. Let l = k + 105. Solve -c + 2*w = 0, 2*w + l = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685740 by -6.\nAnswer: 114290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/43)*b**(-9))\/((b\/(b**20*b))\/b**3) assuming b is positive.\nAnswer: b**(600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 13, l: 1, c: 1}. Give prob of sequence cqc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 3*k - 774 = -16510. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/6 + 5*q**4 - 299*q**3\/6 + 485*q**2\/3 + 50*q - 500\/3 = 0 for q.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -5*h**4\/12 + 23*h**3\/6 - 3*h**2 - 467*h. Let g(u) = 4*u**2. Give g(f(y)).\nAnswer: 400*y**2 - 1840*y + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 206417.975 rounded to the nearest one hundred?\nAnswer: 206400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2144*a + 75045. Let w be s(-35). Determine o so that 0*o**3 + 0*o**2 + 2\/9*o**w + 0*o + 0 - 4\/9*o**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38049671, -76099340, -114149009, -152198678, -190248347?\nAnswer: -228298016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:27 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cb (base 15) in base 5?\nAnswer: -11431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/15 - (-16)\/(-80). Sort j, -1\/2, 1, -6 in increasing order.\nAnswer: -6, j, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000011 (base 2) in base 5?\nAnswer: 10033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.58 + -0.5. Let y = 4.92 + n. Let a be (-1 - (-4)\/3)\/(105\/(-90)). What is the third smallest value in a, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7561*d**3 - 2*d**2 + 7809*d**3 + 2*d**2.\nAnswer: 248*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18949*u**3 - 58 + 22 + 16 + 20.\nAnswer: 18949*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9205839289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.5 - 0.5. Let i = 50 + k. Let g = i + 16.0091. Round g to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m - 1. Let k(y) = -3*y**2 + 6*y + 6. Suppose 25 - 17 = 8*i. What is i*k(s) + 5*a(s)?\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 928?\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 1. Let r(i) = -i**3 + 6*i**2 + i - 4. Let o be r(6). Let h be v(o). List the prime factors of (-726)\/(-14) - h\/(-21).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/589 in 0.5, -667, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let r(m) = 11013*m. Determine f(r(i)).\nAnswer: -11013*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -170888 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/((-5)\/(-15)). Solve -z = -3*b - 10, q*b - 6 + 1 = 3*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 39 = 47*r. What is the remainder when 192 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4 + b**3 - 170164*b**2 + 1009978*b wrt b?\nAnswer: 36*b**2 + 6*b - 340328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 + (-26 - (-21 + 10)) - -24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/7)\/g)**(-2\/27)\/((g*g*g**6*g)\/((g**0\/g)\/g)) assuming g is positive.\nAnswer: g**(-2083\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2495 and 51896?\nAnswer: 259480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-112) + (-24)\/(-14). What is the smallest common multiple of 8*(r\/8 + 1) and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439 + 449. Calculate the least common multiple of ((-4)\/3)\/(2\/(-30)) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261430000 rounded to the nearest one million?\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 1 + 2 + 2. Suppose -9878*r = -9879*r + 4. Let y(s) = s + 1. Determine r*y(c) - 2*x(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 10 - (-6 + 0). Calculate the greatest common divisor of k and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002148 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/2 + 7*g**2\/2 + 2*g. Let m(p) = -p + 13. Let y(u) = 2*u - 12. Let b(r) = 2*m(r) + 3*y(r). Determine 7*a(z) + 5*b(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*s - 35 = 0, v = -3*v - 2*s + 28. Let r be -2 - v\/(21\/(-6)). Suppose -3*d = -d - 5*i - 63, r = -2*d + 4*i + 62. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 118292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 23. Let h = w - 30. Solve 5*y = -3*b - 4, -4*y - b + h = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-9))\/b**14*(b**(7\/3)*b)\/b**(-2\/17) assuming b is positive.\nAnswer: b**(-946\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-7)*t))\/t)**(1\/14) assuming t is positive.\nAnswer: t**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(600))\/sqrt(12))**2 - (sqrt(200) - (2 + sqrt(200)))*-6).\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/40 + g**4\/4 - g**3 + 2*g**2 + 57*g. Let n(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1640272 at most -1640271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17cb17 (base 15) to base 4\nAnswer: 10122122023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:09 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5261\/432 - -452\/27. Find the common denominator of ((-12)\/4)\/24*-3 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 0. Let z = s + -9. Let i(m) = 3*m + m - z*m. Let v(u) = 4*u. Calculate v(i(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**3 - 8*t**3 - 3*t**5 + (t**2 - 2*t**3 - t**2)*(-2*t**2 - 4*t + 4*t) + 3*t**2 + t**5 - 3*t**2.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 5*l**3)*(-40*l + 76*l + 1 - 3).\nAnswer: 36*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6)*398 + 2. Suppose n + 79 = -4*u + y, -2*n + 151 = 5*u. Suppose -5*b - 5*h = -10, -4*b + 2*h + u = -b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**(-4)*c)\/(c**(-1)*c**3*c*c) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -4367?\nAnswer: 17468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 116013 = -4*j, -5*j - 4*n + 100476 = -44489. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h + 6. Let c be y(14). Let o be (-8 - 1)*((-184)\/12 + -4). Is o smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 9138?\nAnswer: 36552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116600 rounded to the nearest one thousand?\nAnswer: -117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35271\/2, -3, 0.3, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.1 + 11. Let h = r - -0.1. What is the nearest to -1 in h, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28212819 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 353229 + -10*(3 + (-114)\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -2, 254, 0.2, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 889842.3 millilitres in litres?\nAnswer: 889.8423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 4. What is the smallest common multiple of 1 and w(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.07 - -0.07. Let p = 3.13 + -0.13. Let q = i + p. Which is the biggest value? (a) -4 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -7509?\nAnswer: 750d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/(-18))\/(48\/(-216)) - 7163\/(-4) is divided by 595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 * -0.3182\nAnswer: -26.7288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -732\/37 - -5198\/259. Which is the closest to u? (a) -6\/11 (b) 0.02 (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -32*c + 10. Calculate r(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 1. Let a(r) = 1. Let f(u) = a(u) + b(u). Let m(c) be the third derivative of 13*c**5\/60 + c**2 + 1501*c. Calculate f(m(w)).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 + 19*o**2 - 51*o**2 + 15*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**6\/180 + 5*f**3\/3 - 6. Let y(i) be the third derivative of h(i). Let q(t) = -2*t**2. Calculate y(q(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 53*x - 40*x. Let h(g) = -g**2 + 9*g + 7. Let y be h(10). Let i be (-5)\/(-1*(2 - 1)). Sort i, y, x, 0.\nAnswer: y, 0, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120770?\nAnswer: 2, 5, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -128845*k + 128883*k. Let l(r) be the first derivative of 0*r**2 + 0*r + k*r**3 + 1\/2*r**4 - 1 - r**5. What is the third derivative of l(f) wrt f?\nAnswer: -120*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5012 - 5012 - 12*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44a (base 13) to base 3\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123 - 1737*d**2 - 697*d**2 + 123 + (0 - d + 0)*(3*d - 6*d + d) - 3*d + 3*d - d**2 + d**2 - 4*d**2 + 4*d**2.\nAnswer: -2432*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3778367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 7*v**2 + 6*v + 2. Let g be p(-6). Suppose 3*n + 23 = 4*c, 3*n + 14 + 3 = c. Solve -g*t = x + c, -4*x - 8 = -4*t - 3*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 5*s + 4. Let m be y(4). Suppose 5*u + 18 = m*u. Solve -5*i = -u + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -5)*3\/(-9)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 18205*w + 381426. Give r(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 403142 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55*(6\/5 + 2552\/(-1160))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 - -427c?\nAnswer: 41b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 3250543.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -4 - 834\/(-830). Let h = -30289\/1245 - v. What is the common denominator of h and (213\/20)\/((-6)\/4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -873, -869, -865?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.237 - 0.187. Let p = -4\/15 - -53\/30. Put p, -5, u in decreasing order.\nAnswer: p, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayaa when four letters picked without replacement from {a: 4, y: 5, v: 6, w: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1200)*5)\/(-3*sqrt(18)\/sqrt(3) + (sqrt(54) - sqrt(1350))))**2.\nAnswer: 800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 14*m - 21*m + 90 = 0. Let p(b) be the third derivative of 0 + 0*b**3 - 22*b**2 + 0*b - 1\/30*b**m + 0*b**4. Let v(h) = 2*h**2. Give p(v(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11ae268 (base 15) to base 8\nAnswer: 60354460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**2\/2 - u + 1. Let b(d) = -2 + 4 + 0. Let x(v) = -b(v) - 3*s(v). Find the first derivative of x(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 2*w = -40, 5 = x + w. What is the smallest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let q(z) = -2*z - 4. Give -5*d(t) - q(t).\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 11) in base 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**3 - 50*g**3 + 3537 - 63*g**3 + 3066 - 6603.\nAnswer: -77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 + b + 2. Let m be h(2). Suppose 20 = -4*w, q - m*q = 4*w - 16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -2 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23739866 to the power of 1\/2, to the nearest integer?\nAnswer: 4872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + 157037 + p**4 - 4*p**2 - 157035 - 5*p**3 + 20*p + 3*p**2 in the form j*p + q*p**4 + z*p**3 + f + w*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let g(q) = -q. Calculate -6*g(r) - 3*o(r).\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (5 + 3)) + (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5496 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*r - 54, 3*r - 5*s - 27 = -s. Let n = r - 11. Suppose n*b = 6*b - 104. What is the greatest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -1, -11, -27?\n\"Answer: -3*u**2 + 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33749 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 16*s - 48.\nAnswer: 4*(s - 6)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 11. What is the nearest to -1\/2 in -1, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 31709412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from blyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4 = 4*m. Let i(s) = -21*s**2 + 28*s**m + 10*s**2 + s**3 + 26 + 19*s. List the prime factors of i(-15).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 7*n - 130. What is the remainder when 433 is divided by u(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*y - 23 = 0, h + 5*y = -0*h - 1. What is the remainder when (-452)\/(-6) + h\/21 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.32 - 18.42. Let g = -8.6 - -8. Which is the nearest to -2\/5? (a) 5 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 92\/20 - 230\/200. What is the closest to r in 3, 16, -2, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112885, -112739, -112493, -112147, -111701?\nAnswer: -111155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000111000000111 - -1001?\nAnswer: 11110000111000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(91) - sqrt(91)*-1 - sqrt(91) - sqrt(91)) + sqrt(91))*4)\/(sqrt(7) + sqrt(21)\/sqrt(3)*6).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 155 + 2 + (36\/(-9))\/(-1). Suppose 1435 + o = 14*q. Does q = 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31880669*o**2 - 207861149*o.\nAnswer: 63761338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3352 - 19979 = 960*s + 8333 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1612408325.9999897 - 1612408399. Let h = 206 + -133. Let d = k + h. Round d to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 2, w: 1, o: 1}. Give prob of sequence lol.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -18*o + 103. Let t = -106 + 111. Let d be p(t). Solve 5*b = 38 - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 64*z + 102 - 65*z - 47.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 3*r**2 - 7*r**2 - 4*r + 12*r - 82*r**3 + 6 + 87*r**3. Let a(c) = 6*c**3 + 2*c**2 + 8*c + 7. Calculate 6*a(g) - 7*t(g).\nAnswer: g**3 - 2*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44864742.\nAnswer: 2, 3, 13, 41, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*a + 31146 = 0, 17*a + 15563 = i + 13*a. Suppose -5*n = 4*k - 38949, -k + i = 3*n - n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, 0, 18, -2\/9 in descending order.\nAnswer: 18, 2, 2\/3, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111011 + 12?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4187\/42 - -599\/6. Which is the third biggest value? (a) v (b) -5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 67*m**2 + 37*m + 96. Let c be l(51). Round c to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98166325 and 993.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*a - 34. Let m = a - 65. Suppose 478 = 2*u + 5*d - 4*d, d + 968 = m*u. What are the prime factors of u?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 290 = -5*a + 18*l, -a - l + 59 = 0. Which is greater: a or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*o + 10, 3*o + 20 = r. Let k(p) = p**3 - 6*p**2 - 6*p - 6. List the prime factors of k(r).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-1162)\/(-57519))\/(-2 + (-40)\/(-21)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*o + 22 = 0, q = 4*o - 7*o + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -u + 1, 5*u - 3*l - 49 = -l. Suppose -2823 = -5*h + y, -2*y = 7*h - u*h + 1126. What are the prime factors of h?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 782598\/(-7) + (-5)\/70*4. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -2*(2 - 3). Suppose 4*v = -h - 20, 2*v + 0*v + 2*h + 10 = 0. Let b be 3 + (g + 3)*v. Let o(m) = 3*m**2 + 3*m + 1. Calculate o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129631*q - 174306.\nAnswer: 129631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*j + 2134, 2*j - 303 = -2*g - 1373. Let r = g + 989. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4839313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/55847984 and -13\/8?\nAnswer: 55847984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -14\/335 (b) 2\/9 (c) 13 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28\/53 - -59\/212. Is q at least 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l - 2. Let o be (-24)\/3 + 4 + -2. Let z = -8 - o. Let h be q(z). Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 4*s = -3*l + 6*s - 37, -208*l - 2*s - 139 = 499 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = -2*v + 778, -33975*v + 33978*v - 3*j + 153 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Suppose 10 - 7 = -3*a. Suppose 3*v = 2*v - 4*d + 13, 2*d - 4 = 0. What is the nearest to 1 in a, n, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 413 = -8*g. Suppose -g = n - 2*n. Suppose 4*d - 467 + n = 0. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**4 + 0*y**7 - 1\/12*y**5 + 0*y**3 + 1\/48*y**8 - 6*y**2 + 0*y + 0 + 0*y**6. Find the third derivative of z(o) wrt o.\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 - -2. Let j = 2.9 + r. Let k = -0.3 - -0.1. What is the biggest value in k, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-33 + 5)) + 31 + -109.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31 + 27)*(0 - -1). Let o = x - -7. Let q = 72 - 40. Solve o = 4*j + 3*p, 4*j - 4*p = -8 + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 59 + 8*h**2 - 62.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*m - 844*m = 16980 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {l: 4, c: 2, j: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 33. Let v be x(0). What is the first derivative of -v + 5*p**3 - 51*p**2 + 109*p**2 - 7*p**4 - 58*p**2 wrt p?\nAnswer: -28*p**3 + 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20796163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 20. Let j(f) = 50*f - 58. What are the prime factors of j(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 5, x: 1, m: 4, e: 4, s: 4}. What is prob of picking 2 t and 2 e?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 91*j + 123. List the prime factors of z(4).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eompigmei. What is prob of picking 1 p, 2 m, and 1 i?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.6. Let r = 3.6 + -3.7. Let u = 3.02 + -0.02. What is the third biggest value in u, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 4, i: 2}. What is prob of picking 1 i and 1 l?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 6 = -5*c - 16, -16*s + 5*s - 1439*c + 60 = -1441*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208.8 - -209.2. Which is the smallest value? (a) 5 (b) 27 (c) f (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 3.8.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 860\/100 + 9\/(-15). Suppose 6*q = k*q - 8. Let y be -2 + 2 - 0\/(-1). Solve y = -g - g - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 + -2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**2 + 8*l - 8. Let x(b) = -2*b**2 - 4. Let t(j) = -2*j**2 + 3*j + 1. Let s(r) = t(r) + x(r). What is 3*o(h) - 8*s(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mim when three letters picked without replacement from mimciwm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 1. Let f(y) = 5*y**2 - 3*y - 8. Let k(c) = -f(c) - 6*o(c). Is 10 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/405, 5, -3?\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9732466*0.05.\nAnswer: -486623.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 - 3. Let t(a) = a**2 - 4*a - 7. Let v be t(6). Let m(f) = 3*f**2 - 1. What is v*m(n) - 2*o(n)?\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 26*q + 305 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-6)\/4)\/((-2)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-3)*2\/((-16)\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1013787.6 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 126, -5, 4 in descending order.\nAnswer: 126, 6, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a**2 + 5*a + 10. Let h be x(-2). Solve s - 4*d + 3 + 2 = h, -s = -2*d + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4943524?\nAnswer: 2, 113, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 242, 358, 472, 584, 694, 802?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/5 and -34\/19137?\nAnswer: 95685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1300 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1013.\nAnswer: 3\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/10)\/((-80)\/(-200)). Let t be 2\/5 + 326\/10. What is the greatest common divisor of t and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37682361 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t**2 + t + 10. Let n be x(-5). Let o be ((-62)\/5)\/(11\/n). Let p = o - -100. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/518015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/12 - 5*l**3\/6 + 15*l. Let n(f) = f. Determine -5*n(j) - v(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6653 - t + 4*t**2 - t**3 + 6653 + t**4 as q*t**3 + l + r*t**4 + i*t**2 + j*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*q + 3752 + 2188 = -108*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803 + 202 + 199 - 4*c + 2*c + 185 + 217.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6386884 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*b + 11. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(o**4 + 2*o**5 - o**4) + (3 + 2*o**3 - 3)*(9*o**2 + 7*o**2 + o**2) + (-o**4 - 4*o**3 + 4*o**3)*(-o + 3*o + 0*o) + 14*o - 14*o - 6*o**5.\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 17 + -14 + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 - 2*z**2 - 1 - 9*z**2 + z. Let h(l) = 6*l**2 + 7*l - 7. Let d(q) = -2*h(q) + 14*x(q). Let w(b) = 8*b**2. Calculate d(w(r)).\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641323?\nAnswer: 307, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-15))\/((-1)\/(-36)*4). Solve 3*f = -6 + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 4. Does 6 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 47. Suppose -3*t + 1 + o = 0. Differentiate x**4 + t - 22 + 5*x**4 with respect to x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.561 times 5?\nAnswer: -2.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = -2*t. Let i(o) = o**3 - o**2 + o - 13. Let h be i(0). Let w = -61\/5 - h. Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2\/8 + (-165)\/(-60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p. Let n = -0.43 - -0.53. Which is the nearest to -2\/3? (a) 0.2 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-192)\/28 - ((-480)\/(-28) + -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17498\/7 or 2500?\nAnswer: 17498\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 4*b + 28, -36 = -4*p + 2*b. Suppose 4 = y - 2*z, -28 = -5*y - z - p. Put 0, 9, y in descending order.\nAnswer: 9, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8 + 10\/4. Let g be (d + -1)*2\/(-4). Suppose -3*w + g*w = -129. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 1 + 3*g**2 - g**2 - g**2. Let h be o(-3). Suppose 3*r = -h*i + 64, 0*r - 9 = -3*r. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198b4c (base 15) to base 11\nAnswer: -780057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 2 - 2 + 13*i**2 as l + y*i**2 + a*i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(3\/(-18)). Suppose -2*q - 2 = -m*q. Find the third derivative of y**2 - 2*y**3 + 0*y**q + y**2 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. What is the closest to 2 in o, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55, 362, 1187, 2788, 5423?\n\"Answer: 43*q**3 + q**2 + 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14237, -14046, -13725, -13268, -12669, -11922?\n\"Answer: i**3 + 59*i**2 + 7*i - 14304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 3. Determine t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 3:50 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from aaxxltxxajt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*i - 6 = 0, -3*i - 8 + 2 = -4*l. Solve 5*s + 0 - 5 = l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 5*p + 10. Suppose 0 = -6*k + 4*k + 12. Let b be m(k). Suppose 3 = -4*q + 3*f - b, q = -4*f + 22. Solve -2 + 6 = q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*x - 239*x - 18 - 30 = -3*f, 3*x = 4*f - 64 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -5847 - 1225. Let j = l - 535. What is the highest common divisor of 171 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -286, -396, -506?\n\"Answer: -110*f - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - (5 + -12)) - -4 - -15\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + 0 + 57 + -4 + -21 + 22.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-609)\/(-49) - 12\/(-21). Suppose -8*l - 1485 = -p*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340 (base 12) in base 4?\nAnswer: 331200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**2 + 4. Let f be g(2). Let s be (-8)\/f - (-2)\/(-9). Let r(i) = i + 5. Let p be r(-2). Put p, -3, s, -1 in ascending order.\nAnswer: -3, -1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o - 2. Let l(v) = 4*v - 1. Let b be (1*-3*-1)\/(14 + -13). Give b*x(t) - 8*l(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = 18*t - 21*t, 3*t + 32 = -5*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d. Suppose p + 8 = 4*v - d, 2*p + 4*v = 44. Let o = p + -5. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-169 + 169 + 3*k**2)*(-563 + 1209 + 914 + 1101 + 830) as p*k + x + a*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 3*r + 2*r)*(9*r**2 - 63*r**2 + 23*r**2).\nAnswer: -93*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2465.9488 rounded to the nearest 10?\nAnswer: -2470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 42 - 7) + -17 + 9 + 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n - 6 + 2*n**2 - 23*n - n**2. Let x be 66\/14 - 2\/(-7). Let p be v(x). What is the closest to -2 in 0.3, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/10 - h**3\/3 - 119*h**2. Let l(s) = 0*s**2 - 8*s + 8*s - 7*s**2 + 3. Determine 2*l(w) + 3*q(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 17907988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124257)\/(-194))\/(-183)*2\/(-56).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 + 5 - (4 - -12))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 15}. Give prob of sequence rrr.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**5 + 3*b**5 + 3*b**5)*(69 + 81 - 36 + 32).\nAnswer: -584*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 8*b**2 - 9*b - 13. Give s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q*w**4 - 292*q*w**3 + 17*q*w**2 + 2*w**4 - 87*w**3 - 4*w + 2916010 wrt w.\nAnswer: -72*q*w - 1752*q + 48*w - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/8 - 8\/14. Let g = 13738 - 13737.4. What is the second biggest value in -1\/4, d, 2\/7, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let k be 1\/((3\/(-87))\/(-1)). Suppose 7*g - 3*g + k = 3*n, g = 5*n - 20. What is the closest to -0.1 in -2\/9, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g - 10*g + 5*g in the form b + o*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 1770*k**4 - 197916*k**3 - 19532616*k**2 - 38259360*k = 0. Calculate k.\nAnswer: -60, -2, 0, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + 2 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*1 + 5 + sqrt(21)\/(1*sqrt(3)) + 0)**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 101 = 5. Let g be (-1)\/(1 + l\/(-21)). What is the third derivative of -5*h**6 + g*h**6 - 6*h**2 + 4*h**6 wrt h?\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669910475 divided by -4.\nAnswer: -669910475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 8*p = -24. Suppose -8 = -3*z + z. Which is the closest to 0.1? (a) 0 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + c8b08?\nAnswer: c8b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let g = 282 - 283. Sort h, 5, g, -1\/3 in descending order.\nAnswer: 5, h, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 6. Let v be q(-5). Let m be 1\/3 - 80\/(-12). Let y = m - v. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**2*u**5 + 34054*r**2*u - 23*r*u**5 wrt u?\nAnswer: -80*r**2*u**3 - 460*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -8, -27, 5 in ascending order.\nAnswer: -27, -8, -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -1\/8, -14, 3 in decreasing order.\nAnswer: 85, 3, -1\/8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/458 in -4, -6\/17, -0.5, -1?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.71 + -9.91. Let k = -9 - z. Let g = k + -0.6. What is the closest to -1\/2 in 1, g, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/7))**36\/(a**2\/a)**(-2\/3))\/((a*a**(-1)*a*a**2)\/((a**7\/a)\/a**(-9))) assuming a is positive.\nAnswer: a**(806\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-3 + 2) + 58 + -53. Solve 2*m = k - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w**3 - 4*w - 19*w**3 + 0*w**3 wrt w?\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.0447mg to tonnes.\nAnswer: 0.0000007010447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2569 + -4992?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8933438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.05828 and 1196559.\nAnswer: 1196560.05828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 7*y**2 + 3*y + 5. Let l be (-45)\/13 + (-306)\/(-663). Let v(j) = -2*j**3 + 4*j**2 - 2*j - 3. What is l*z(r) - 5*v(r)?\nAnswer: -2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -122.04. Let l = -7 + a. What is the second biggest value in -4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v + 114 = 49*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 58, -8 in ascending order.\nAnswer: -8, -4, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - w + 9. Let x be o(0). Suppose -4*u = -5*t, 2*t + 5*u = 4*t. Suppose 3*k - 30 + 3 = t. What is the highest common factor of x and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - (-120 + 32)) + -63?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893?\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 44*x + 1. Let l be u(-23). Let d = -40 - l. Solve y = -z - 3, y + 0*z = -d*z - 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1919 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 + 28. Let q(u) = u**2 + 3. Let j(p) = 28*q(p) - 3*s(p). Let n(x) be the third derivative of -x**5\/30 + 25*x**2. Give n(j(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflsllmmsem. Give prob of picking 1 e and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*h + 6*h - 3*h + 0.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8864882 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -376 and -375 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 + -0.01. Let k = j + -0.236. Round k to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 17. Calculate b(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 666072, 665548, 665026, 664506, 663988, 663472?\n\"Answer: y**2 - 527*y + 666598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36675.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219349 is divided by 227?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -41*f + 5. Let z be q(4). Let j = 224 + z. What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8208882883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -371120159 and -11.\nAnswer: -371120170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 88 = 2*h, 3*s - 320 = -5*h - 59. Suppose 91*f = s*f + 45. Solve 3*x - 18 = -4*g - f, g + 5*x + 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 6*l**2 - 2*l**2 + (l**2 + l**2 - 16*l**2)*(3 - 6 + 1).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -53\/42, 0.5, -0.2, 1\/3, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 2. Let m be (-1 + -1)\/((-2)\/(-3)). Let a be (1\/m)\/((-1)\/(-6)). Let j(x) = -x - 3. What is a*j(z) - 3*h(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4810.32036 rounded to the nearest ten?\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 98701*v**2 - 1.\nAnswer: 98701*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.4677 - 2.3323. What is the biggest value in -1\/3, o, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.941 and -15545.\nAnswer: -14627.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/6 - z**4\/2 + 2035*z**3\/6 + 2033*z**2\/2 - 3375*z - 8100 = 0?\nAnswer: -45, -4, -2, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6441, 6461, 6481, 6501, 6521?\nAnswer: 6541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 892646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 - 2*w + 4. Let o(s) be the first derivative of s**4\/4 + s**2\/2 - s - 3. Let k(n) = -2*o(n) - x(n). Find the first derivative of k(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 + 25364*g - 29962 wrt g.\nAnswer: 4*g + 25364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/25 + 1\/(-5). Suppose -20 = -5*c + 5*r - k*r, 2*c - 2*r = 8. Differentiate -4*q**2 + 4 + c*q**3 + 4*q**2 with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 840?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -4268, -1.\nAnswer: -4268, -1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -58411 divided by 7\nAnswer: -58411\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381229425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3028 - 3033. Sort 1\/2, 1.1, h, 2\/9 in decreasing order.\nAnswer: 1.1, 1\/2, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -156 (c) -38 (d) -0.3 (e) 90\/13 (f) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-7)\/(-42)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 896*i = -900*i + 91, 25 = 3*b - 5*i. Solve -23*k = -4*u - 24*k - b, -2*u + 5*k + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3\/r)**(-3\/7))**(-30) assuming r is positive.\nAnswer: r**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19) - sqrt(190)\/(sqrt(40)\/sqrt(4)))**2 + sqrt(95)\/((sqrt(50) - (sqrt(1800) - sqrt(50)))\/sqrt(10)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 176*d**2 - 4*d - 5. Let i be p(-3). Let y = 3273\/2 - i. Calculate the common denominator of 19\/3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3)*-21 - -110.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 - 12883*p**3 - 3 + 10*p**2 + 13074*p**3 - 11*p**2 to the form k*p**3 + f*p**4 + q*p**2 + j*p + z and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3087) - (sqrt(3087) - sqrt(3087)*-3))\/sqrt(9) + (-5 + 4*sqrt(56)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: 23*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.04. What is the second biggest value in p, -0.2, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 18562\/69 and 269 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 4, -747?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {e: 1, y: 5, q: 2, v: 2, l: 8}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 0 = 4*o + d - 15 - 1. Put 7, -6, o in increasing order.\nAnswer: -6, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:32 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 18 + 3*n - 3*n)*(n**3 + 2*n - 2*n) + 247*n**2 - 36*n**5 - 247*n**2 + (-3*n - 2 + 2)*(0*n**2 + 0*n**2 - 2*n**4).\nAnswer: -28*n**5 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, w: 6, c: 1}. What is prob of sequence wj?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 46*x**2 + 3 + 49*x**2 + 47*x**2 - 2*x + 0*x - 145*x**2. Give l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/36 - ((-10)\/12)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**8\/2520 + j**6\/900 + 22*j**2 - j. Factor b(d).\nAnswer: -2*d**3*(d - 1)*(d + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*m + 18 = 0, 8*m = -4*n + 4*m - 32 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 55*y + 44*y + 4*y**2 - 18 - 89*y. Let c be p(-13). Suppose -5*v = 3*v - c. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -160*i**3 + 9*i**4 + 160*i**3 + (i - 4*i + 2*i)*(-2*i**3 + 37 + 0*i**3 - 32).\nAnswer: 11*i**4 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3814839 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/7))**(4\/15) assuming j is positive.\nAnswer: j**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0)*(-141)\/(-3). Let u(d) = d + 16. What is the remainder when (0 - -1)*i\/(-2) is divided by u(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let w = -8 - m. Let p = -2.02 - -0.02. Which is the third biggest value? (a) p (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3219 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(-38))**(1\/25) assuming m is positive.\nAnswer: m**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 137753*p**2 + p + 3 - 2 + 4. Let f be s(4). Let j = -1534057 + f. Round j to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-100)*40\/(-176))\/(2\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -185 * 0.2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.62 in -4, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 970, 1647, 2324, 3001, 3678, 4355?\n\"Answer: 677*n + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = 0. Let u(l) = l**2 - l + 21. What is the units digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10973 by 2.\nAnswer: 10973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28710*b**5 - 2*b**2 - 462.\nAnswer: -1722600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11) + (-433 - -446)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 >= -457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1692384579\nAnswer: -1692384576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 363*r**2 + 84*r wrt r?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 3497 + 719 = 0. Let v(q) = q**2 - 9*q - 21. Let l be v(13). Calculate the greatest common factor of h and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)*6\/(-27). Let j = 440\/13 + -34. Which is the third smallest value? (a) 0.2 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1682692 and 13\/5038.\nAnswer: 1682692","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2 + 4*z + 53. Calculate j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -23*r**6 + 6*r**5 + 6*r**4 + 7*r**2 + 6*r + 6. Let q(d) = d**5 + d**4 + d + 1. Let f(i) = 6*q(i) - v(i). What is the third derivative of f(g) wrt g?\nAnswer: 2760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:23 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95074591141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -40?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 = 4*h - 6, 2*h - 2*d + 8 = 0. Let z = 16 - 19. Put 19, z, h in descending order.\nAnswer: 19, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 345143?\nAnswer: 345144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355.99999934 - -356. What is n rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + z = -50737, 2*z + 63419 = 5*l. Suppose 4*i - 62223 = l. Let h = i - 30727. Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -4034340010?\nAnswer: -4034334441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6726.32 rounded to zero decimal places?\nAnswer: -6726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*y = -2*y - 10, -5*b + 43 = -4*y. Let t = 7 - b. What is the common denominator of t\/(-2)*(-57)\/(-10) and -37\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 134\/(-472). Let h = 65\/177 - s. What is the closest to h in -0.3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42632 is divided by 909?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + w**3 - w**3)*(-3 + 0 + 2) as t*w**3 + m + l*w**2 + v*w and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*l + 4, 4*l = -3*z + 7*l. Let h be 7*(z - 498\/(-21)). Let n = h + -124. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 6 (c) -299303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/28 and -73\/185154172?\nAnswer: 185154172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 2875866*l**2 - 2875866*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-117)*(-6)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -17*x**8\/112 + x**6\/120 + 71*x**4\/8 - 11*x**2 + 3. Find the second derivative of b(f) wrt f.\nAnswer: -1020*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 23. Let n = l + 69.035. Let s = n - 0.035. What is the second biggest value in -4, -19, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292 by -85.\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.789 milliseconds in seconds?\nAnswer: 0.805789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -53. Let i(m) = -5*m**3 - m**2 + m + 1. Let x be i(-1). Suppose -3 = -z*y - 3*v, 3*y + 3 = x*y + 3*v. Solve -20 = 5*r - y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -8999*b**5\/20 + 2*b**4\/3 - 7*b**3\/2 - 5*b**2 + 5*b. Let d be k(-10). Suppose c - d = 2*c. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15507203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*h + 23 - 149*h - 146*h - 149*h + 594*h.\nAnswer: -h + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10412770757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -511 + -1195. Let b = -1705.97826 - l. Round b to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 3*a - 23, -2*n + 9 = -a. Solve 0 + n = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -111. Let r = 308 + y. Suppose 7*t - 2*t + 15 = 0, -2*t - r = -3*p. Calculate the remainder when p is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:43 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9696404 is divided by 693.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9.1581 * 0.4\nAnswer: -3.66324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from {t: 6, w: 12}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13185\/840 - (-6)\/14) + (-2)\/16. Solve 169 = i*a + 57 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 2:56 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/(109\/(-16677)*-10)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w + 8. Let p be g(-5). Let y(v) = 3*v + 56. Let a be y(p). Suppose -16 = -4*h, -3*h - h = a*i - 631. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3476 + 6213. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l - 6. What is the units digit of h(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(112 - 112 - 18*u) - 112*u**2 + u**2 - 82*u**2.\nAnswer: -175*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 52 = 12. Let n = 4 - m. Let q = n + 15. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/2)\/(3\/((-240)\/(-16)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 4 + 2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283557?\nAnswer: 11, 116687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44763186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(144) + 5*sqrt(144)*-6))\/((sqrt(200) - sqrt(200)*2)*-1).\nAnswer: -87*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/(649\/65 + -10). Let r be (z\/(-65))\/(2\/(-5)). Solve -t - 5*q = 16, r*t - q + 8 = -5*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.6, 5, -19 in descending order.\nAnswer: 5, 1, 0.6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 - 16*q**2 + 2*q + 2. Let g(w) = 4*w**3 - 17*w**2 + 3*w + 3. What is 2*g(i) - 3*u(i)?\nAnswer: -i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b6a4 - -12?\nAnswer: 5b6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 7*k + 5*k**2 - 7*k**2 - 7*k**3 - 2. Let l be u(4). Let c = l - -1105. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/3601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, -1895, 2\/9, 1\/7, -4 in decreasing order.\nAnswer: 19, 2\/9, 1\/7, -1, -4, -1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-102)\/(-48)*-2)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -2\/5 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3 - 3 + (3 - 1 + 0)*(y - 4*y - y))*(0 - 6 - 4)*(-1 - 5 + 26).\nAnswer: 1200*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 28568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtz when three letters picked without replacement from {t: 3, y: 2, j: 1, d: 4, z: 4, n: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113403282*i**2 + 122415*i + 447 wrt i?\nAnswer: 226806564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69411338 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x + 208. Let o be h(18). Let q = o + -491. What is the greatest common divisor of q and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 + 3*r**2\/2 - 14*r - 1. Let f be w(-8). Let j = f + -8. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -6, 71 in decreasing order.\nAnswer: 71, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/((-2)\/3). Let o be (v\/3*0)\/2. Suppose -25 = -5*r - 4*y + 5*y, o = 2*r + 3*y - 27. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709 is divided by ((-22)\/(616\/182))\/(4\/(-104)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 74184.\nAnswer: 74183.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 142895*a + 1000260. What is j(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 10 + 8 + 21*q**3 + 3 - 22 as o*q**2 + m + t*q**3 + r*q and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u + 65. Let q be i(6). Let d be -2 + q\/3 - 1496\/(-33). What is the highest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3559730, -28477783, -96112500, -227822213, -444965254, -768899955, -1220984648, -1822577665?\n\"Answer: -3559722*r**3 + r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -71, -108, -145, -182?\n\"Answer: -37*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r - r - 7*r**3 + 0 + 11 - 14*r**3. Let k(w) = -4*w**3 + 2. Give 11*k(x) - 2*s(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/(-2) - (-2)\/4. Let z be (-28)\/n*(-5)\/2. Suppose -k = -2, -z*k - 168 - 253 = -5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 2. Suppose -4*c + 3*i = -23, -c = 4*i + 1 + 17. Let s be g(c). Solve 0*v - s = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 3, o: 3, y: 2, b: 1, p: 1}. What is prob of sequence yb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5704 + -0.9.\nAnswer: 5703.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let q(d) = -4*d. Let b(u) = -12*c(u) - 4*q(u). Suppose f - 36 + 15 = 0. Let v(h) = -21 - 2*h**2 + f. Give v(b(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(44)*1 - (sqrt(22)\/sqrt(2) + 3)).\nAnswer: -2*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -6071, -7, 3, -3.2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -14 - 270. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036157 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 1265?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*u, 0*u + 9 = u - h. Let o = -429.8 + 431. What is the second biggest value in o, u, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/1*455\/520.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*u - 11 - 69, 4*c + 8 = u. Calculate the highest common divisor of 152 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 3)*(-2*s + 2*s - 2*s)*(-4*s + 14*s - 6*s)*(-75*s - 57*s + 14*s) to l*s**3 + n*s + a + f*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) -1.36 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 + 7*a + 5. Let k(i) = -i**3 - i**2 - i - 6. Let y be k(0). Let p be v(y). What are the prime factors of 0 + p\/(3\/(-84))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(112) + 1 + -4)**2)*-6.\nAnswer: -696 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66 - -70)\/(4\/(-10)))\/(55\/(-44)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/222789216 and 71\/125318934.\nAnswer: 2005102944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 22. Let h be (2 - k)*-1*(-4)\/(-14). Which is the smallest value? (a) 1 (b) 0.4 (c) h (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 3*s**3 + 0*s**3 + (-6 - 26 + 5)*(-s**2 + s**2 - s**3) in the form z*s + l + y*s**3 + i*s**2 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.53706 and 69.927.\nAnswer: 70.46406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 13 = -o + 3*u, -4*o + 7 = 3*u. Let l = -29\/3 + 39\/4. Put o, l, 0 in decreasing order.\nAnswer: o, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -21. Let y(b) = b**3 + 4*b**2 + 2*b - 1. Let m be y(-3). Suppose -p*d**m + d - 4*d**2 - 5*d = 0. What is d?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151682241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h - 2*h + (11*h + 14*h + 12*h)*(1 - 2 + 0)*(4*h**2 - 2*h**2 - h**2).\nAnswer: -39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41318, -41321, -41324?\nAnswer: -41327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -1, 2\/3, 3 in increasing order.\nAnswer: -1, -2\/31, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26 + ((-39)\/9 + 4)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**4 + 6*s**2 - 4*s**3 - 3*s**3 + 14*s**2 - 18*s**2 as w*s**4 + q + g*s + c*s**3 + t*s**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68855 + 142473. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*f**3 + 65*f**3 - 21 + 36*f**3 + 33*f**3 to the form d + r*f + v*f**3 + o*f**2 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(3000)*-5)\/(-1*sqrt(10)*-2 + 3*sqrt(30)\/sqrt(3)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m + 2. Suppose 9 = 3*u, 2*v + 2 + 1 = m*u. Suppose z + v*p = 16, -z + 3*p + 24 = 2*z. What is the least common multiple of z and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57266486, 57266484, 57266480, 57266474, 57266466?\nAnswer: 57266456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (-86 + 96 - (2 - -9)) + 10 + -5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-9))\/(36\/(-54))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + -0.89. Let o = 12.25 + -12. Let v = o + 0.05. Which is the closest to -2\/5? (a) 5 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 34 = -96. Suppose w*h + 26796 = 38*h. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4564*i. Let g(k) = 5*k. Calculate j(g(u)).\nAnswer: 22820*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192067769?\nAnswer: 59, 37153691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4000\/15)\/((-1)\/2250). What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1716 and 24.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1068 - -1525. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, -4\/3, 3\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkwwggk. What is prob of sequence kkkg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-42)\/(-3))\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-2 + -1 - -33))\/1. Let u(y) = y**3 - 2*y**2 - y + 2. Let j be u(2). Suppose w = -j*w + h. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32557 + 37702. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187485?\nAnswer: 3, 5, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87978383 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (1 - (-15)\/(-9)). What is the third biggest value in v, 2\/17, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, l: 2, q: 1, y: 7, h: 1}. What is prob of picking 1 q and 2 y?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1649 + -0.4?\nAnswer: 0.7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 107. Let a = o - 35. Let j = -59 + a. What is the highest common factor of 33 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(120)\/sqrt(10))\/sqrt(6) + -4) + 1)**2.\nAnswer: -190*sqrt(2) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189.95 + 184. Let u = l - -6. Let x = -0.25 - u. Which is the second biggest value? (a) 1 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 5043*k**3 + 59 - 2529*k**3 - k**2 - 2515*k**3.\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 65*m = -210 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -513986.\nAnswer: -36\/256993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*((v\/((v\/(v*v**(-2\/3)))\/v))\/v)\/v)**(-4\/7)*(v**0)**(-1\/49) assuming v is positive.\nAnswer: v**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 1.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y**2)*(-49*y + 1 - 57*y**3 - 18*y + 65*y).\nAnswer: -114*y**5 - 4*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (3544\/(-12))\/(4\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 10*l + 12. Calculate n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 46 - 30 - 2*z**2 + 21 in the form q + d*z**2 + a*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:54 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*o + 3. Let m be 2 + 2 + (-9)\/o. Suppose z = -k - 0*k - m, 5*k + 6 = -4*z. Solve z = -3*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 986114 and 1860826.\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144037585.\nAnswer: 5, 59, 488263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-33344)\/8) + 5. Suppose -24*a = -t - 29527. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 2*c + 6. Let z be 8 - 4 - (-1 - 2). Let l(d) = 4*d**2 + 3*d + 7. Let h(t) = z*o(t) - 6*l(t). What is the second derivative of h(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**2 - u - 28. Let a be z(-7). What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2830 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-6) - 2\/(-4). Suppose -8*g + h*g = 28. Let r(v) = v**2 + 4*v - 6. Let o be r(g). Solve 2*l = -l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by (-1)\/(2\/(1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 9. Determine t(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.09 (c) -1\/18 (d) 0.2 (e) -1\/6 (f) 11.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 10647?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 211*b**2 - 159*b + 1561. List the prime factors of w(13).\nAnswer: 35153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 256 + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -y, 18*x - 20*x - 12 = 4*y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * 156.14.\nAnswer: 21078.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(1950\/12)*65 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssszzssssszsz?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 74*f - 2092. What is j(28)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 2, x: 1, i: 1}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -113, -115, -117?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g = 5*h + 56*g + 27, 0 = -15*h - 5*g - 80 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 16773.\nAnswer: -33546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 111 + 442*l - 108 in the form r + v*l and give v.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:00 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3650 and 2742610?\nAnswer: 13713050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/6)\/(-4) - (-474)\/(-369). Let t = 45\/82 - x. What is the second smallest value in -5, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, q: 1, i: 7, x: 5}. Give prob of sequence ixiq.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84277600 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6) + 264\/72. What is the third biggest value in -1\/51, a, 14?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - 12. Determine v(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 16*a**2 - 17*a + 14. Let j be p(-10). Let g = 5295 + j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 16*q + 64.\nAnswer: (q + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, -2\/5, 92?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -1 + -47 + 28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3126801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 46*v + 12*v**2 + 4*v**3 - 86*v - 23 = 0. Calculate v.\nAnswer: -7, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736718 is divided by 368354.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 1\/4, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3. Let p(l) = -10*l**3 - 10*l**2 + 15*l - 60. Let x(g) = -2*i(g) - p(g). Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 19187158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = s - 5. Let h = s + 15. Suppose -4*j - 3*v + 47 = h, -5*j + 4*v = -84 + 33. Calculate the least common multiple of 9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-25)*(-6)\/9*(-11)\/(495\/27).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 42. Which is the nearest to z? (a) -1 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgk when four letters picked without replacement from gdodggaooogokd.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**4 - o**3 + o**5 - o + 12*o**4 + (1 - 4*o**3 - 1)*(-o**2 - o**2 + 0*o**2) + 0*o**5 - 2*o**5 - o**5 + 2*o**5 + 3*o**5 - 3*o**5.\nAnswer: 8*o**5 - o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11150647*z**3 - 25*z + 60700?\nAnswer: 66903882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*o + 2 - 5*o**3 + 58*o + 2 wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/(-4))*200\/(-1120).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 + 14.1. Let m = -1 + 6\/7. Which is the third smallest value? (a) m (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4287 and 17595277?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + -35 - -58.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039630888 rounded to 6 dps?\nAnswer: -0.003963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 7, m: 2}. What is prob of sequence ffa?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**(-1))\/o*o*o)**(-15\/8)\/(o*o**5*o*(o\/(o*o**(-5)))\/o*o))\/((o*o\/o**(-1)*o)**(3\/28)*(o**(-1)\/o)**29) assuming o is positive.\nAnswer: o**(533\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**3\/3 - 13*t**2\/2 + 21*t + 18. Let i be u(7). What is the second biggest value in 0, -5, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4 - (0 + -6). Suppose -4*x + 8 = -0*x. Calculate the highest common factor of x and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.7. Suppose 5*x - 6*x + 4*a = -30, -4*a = 16. Suppose 12*j = -2 + x. What is the third biggest value in -2, p, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 475 + 478 = 3*b, 22 = 5*a + 4*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 13696*n**3 + 25610864*n**2 + 7407180288*n + 584989851168.\nAnswer: 2*(n + 166)**2*(n + 3258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43159 by -1471.\nAnswer: -43159\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 19, -4, 2, -3, -6, -8 in decreasing order.\nAnswer: 33, 19, 2, -3, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 11*o - 13*o + 3*r, -2665*o = -2656*o + r - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7467 - -1?\nAnswer: -7466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**7\/840 + 7*h**6\/360 + h**5\/120 + h**4\/6 - h**3\/3 + 11*h + 8. Let a(s) be the third derivative of k(s). Calculate a(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222221 + -102?\nAnswer: -210000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x)*(-x**2 + x**2 - 4*x**2) + 4*x**3 - 4*x**3 - 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110 (base 4) in base 15?\nAnswer: e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*n**3 - 15 + 78 - 44 with respect to n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 175431360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8844 and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-7 - (-1 - -20))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 140. Determine z(57).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by (-2 - 17) + 11 + 110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71736983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 9:46 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 373, 867, 1693, 2851, 4341?\n\"Answer: 166*h**2 - 4*h + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 36. Let c = z - -91\/3. Determine i, given that 5\/3*i**3 - c*i**4 - 2\/3 - 3*i**2 + 7\/3*i = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5511*q - 3*j - 54 = -5508*q, 5*j = 11*q + 166 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182867972.\nAnswer: 2, 7, 6530999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 18*p - 47. Let z be t(-21). Let r = z - 24. Let j = 2 - r. Calculate the remainder when 78 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -3)*-5*6.\nAnswer: -30*sqrt(7) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 3. Let q(x) = x**2 - 9*x - 8. Let z be q(10). Let g be d(z). Let l(t) = 10*t + 12. Calculate the remainder when l(g) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195844 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 137 = -x, 0 = 2*x + 10*g - 9*g - 211. What is the highest common factor of 42 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1436\/2872)\/(-2*(-68)\/(-128))\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984722?\nAnswer: 2, 23, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6*c - 5 + (-2 - 5 + 2)*(0*c - c - c) + 5 - 5 - 5*c)*(1 + 6 - 5) in the form l*c + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by -63 + 84 - (4 + -1 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 223*v + 8. What are the prime factors of i(23)?\nAnswer: 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let u be 24\/(-2)*p\/(-4). Let k be u\/(-21) + (-2)\/7. Which is smaller: k or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50854800251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*d*p**2 - 68*d*p + 3*p wrt p.\nAnswer: 738*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 28\/3. Let o = -50 - -49. Put q, 0.01, o in decreasing order.\nAnswer: 0.01, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(14\/(-2)))\/((-664)\/(-1743))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 22*p**2 + 33*p - 70. Let v be b(-3). Solve -11*z + 8*z + 2*y + 10 = 0, -4*z = v*y + 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197500003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1598 + -1636. Which is the nearest to p? (a) -0.2 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = -13. List the prime factors of 3\/(921\/228 + m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*l = -2 - 5, 5*l - 4*l - 2*l + 18 = -12*i + 5*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -45962 and -45957 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -33\/4. Let t = -561\/7 + 80. Suppose 3*m = 2*a - 2*m + 4, 4*a - 4*m = -8. What is the nearest to y in a, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -9 (c) 0 (d) 2\/3 (e) -2 (f) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 23*i**2 + 8*i**2 + 4*i**2 + 9*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2453 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93161.\nAnswer: 59, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3461915 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12232 - 30?\nAnswer: -12262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -72. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q - 9*q + 4*q + 35*q**2 + 45*q**3.\nAnswer: 5*q*(q + 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 3*c - 207 = -9*c. Solve 3*f = -3, -81*s - c*f = -79*s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 3*v**2 + v + 6. Let u(d) = d**3 - d**2. Let t(w) = -2*u(w) - y(w). Let l be t(-8). What is l rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*j - 362 + 86*j + 359 + (-j - 9 + 3*j + 2)*(1 - 1 - 2).\nAnswer: 140*j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4 - 3) + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 602 - 327 - 301 - 22*x in the form s*x + z and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283834654*k**3 + 164237262*k**2 wrt k.\nAnswer: -1703007924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccbccbcbcc. Give prob of sequence ccbb.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.1. Let v = -0.6 + m. Let d = v - -2.6. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*10\/12*246\/41. Let z(l) = -l**2 + 4. Let c(q) = q**2 - q. Let i(h) = 2*c(h) + z(h). What is i(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154+4.71335631\nAnswer: -149.28664369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 70 = 8*v - 10*v, -3*v + 275 = -4*t. Let i be 4\/(-10) - 654\/15. Let k = i - t. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from nceaeneccsaaeescncha?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*d + 18. Find the common denominator of -21\/22 and d\/(-6) + (-3)\/9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1112581 or -1?\nAnswer: 1\/1112581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 29 + 95. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477702270?\nAnswer: 2, 3, 5, 5307803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 24. Let n = 2 - -6. Let i(s) = s + 9. Let k(t) = n*i(t) - 3*a(t). Let y(h) be the first derivative of 37*h**2\/2 + 1. Give y(k(f)).\nAnswer: 74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**6 + 2\/3*n**3 - 5 + 6\/7*n**7 + 0*n**5 + 0*n**4 + 0*n + 0*n**2. Find the third derivative of z(k) wrt k.\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 2. Suppose -48 = -5*y + 2*y. Suppose 4*b + 0*b - y = 0. What is the remainder when 34 is divided by d(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:28 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2451431?\nAnswer: 41, 59791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4397*c**3*f**3*u - c**3*f**2 - c*f - f**3*u + 9682*f**3 wrt u?\nAnswer: -4397*c**3*f**3 - f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -3 in ascending order.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 16 = -1602*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f - 24*f + 10*f + 22*f**3 - 122*f - 31*f - 52*f.\nAnswer: 22*f**3 - 246*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -241*o + 2483. Let s be j(10). Which is smaller: s or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 120051?\nAnswer: 120042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -2413.\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 8.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**2*g**2 + 13*d**2 - 202*d + 44959880*g**4 + 16459 wrt g.\nAnswer: 24*d**2*g + 179839520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66\/295 - -5523\/10915. Is z smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0.45. Let h = 4 + -4. Let j = h - 1. Which is the second smallest value? (a) j (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 650.6089 nanometers?\nAnswer: 0.0000000006506089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 - 2*x**3\/3 + 4*x**2. Let q(v) be the first derivative of j(v). Let k(n) = -7*n**2. What is q(k(u))?\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 32 + 26. Let t(b) = -6732*b + 27101. What is the remainder when t(4) is divided by q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29161)\/(-55) - 1\/5. Let g be (2\/(-7))\/(5 + w\/(-105)). Solve 2*x - 4 - g = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 22112020101220?\nAnswer: 22112020101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1190 and 149\/1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 2*t + 1. Let b be 651\/(-124)*12\/(-14)*2. Suppose 69 = b*d - 32*d. What is s(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 - 3. Suppose 3*i + 6*s - 5*s + 2 = 0, -4*i + 4*s = -8. Which is the biggest value? (a) j (b) i (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-432))\/((-2471)\/2118).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/24 + f**3 + 8936*f**2. Let p(z) = -10*z + 1. Let h be p(-1). Give c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*x + 51119, 9118 = u + 3*x - 7900. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1392385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108519, -110100, -111681, -113262, -114843, -116424?\nAnswer: -118005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11010111010111001 (base 2) to base 13\nAnswer: -3b25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2375, 4622, 6817, 8954, 11027?\n\"Answer: -w**3 - 20*w**2 + 2314*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.7956 - 0.1056. Let u = m - 17. What is u rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1691865 and -0.33.\nAnswer: 1691864.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/15)\/o**(-2\/19))**(-11\/3) assuming o is positive.\nAnswer: o**(-1166\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a factor of 32577403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -6. Is 15 a factor of (a\/4)\/(19\/(-7676))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-59)\/236)\/((-5)\/(-8)). Which is the nearest to r? (a) -0.3 (b) -5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123039\/18370 + -4\/1837. Calculate the common denominator of t and 145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 3. Let g be l(-6). Suppose 7*n + 8 = -g*s + 2*n, 2*n = -2*s. Suppose -s*o + 17 = -15. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.55 * 0.8\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**5 + 4118118*n**4 + n**3 + 2585*n**2 + 12*n - 1034 wrt n.\nAnswer: -480*n**2 + 98834832*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 10. Let d be y(8). Let m = 5 - d. Put m, -3, 5 in ascending order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -44*y**4 - 176*y**3 - 292*y**2 - 136*y. Let i(s) = 2*s**4 + s**3 - s**2 - s. Let h(n) = -24*i(n) - r(n). Factor h(c).\nAnswer: -4*c*(c - 40)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8342*d = 579*d - 2608*d - 134823 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11489*a*n**2 - 2*a*n - 2*a + 15*n - 24 wrt n?\nAnswer: -22978*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose 38 = g*a + 8. Suppose o = 2*o - 43. What is the remainder when o is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 168 = 21*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 5094.\nAnswer: -5094.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1100110001000010 (base 2) to base 9\nAnswer: 78650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = 19*x - 14*x - 84 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 9260*v - 9260*v.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944582357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -370 - -368. Let q be -1*(w - 0) + 23 - 5. Solve 2*o + 2*n = -0*n - 16, -2*n = 3*o + q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + 56. Suppose -2*f - 3*z = 2*z - p, -4 = -z. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = -w, 3*w + 4*o + 0*o - 111 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3.7, -4, -5, -3\/7, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -3\/7 (c) -2\/11 (d) 4\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -571*t**4 - 239 + 55 - 1035 - 297*t**4 wrt t?\nAnswer: -3472*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691875 divided by -2?\nAnswer: -691875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10338 + 10340. Solve -s*z + o + 11 = 3*z, o = 3*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -31*n - 2. Let s(z) = 21*z + 1. Calculate -5*c(a) - 8*s(a).\nAnswer: -13*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1222, -2343, -3464, -4585?\nAnswer: -5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69324487 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-14))\/((-9)\/12)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(2\/11)*h*h)*((h*h*h**(2\/17)\/h*h*h)\/h)\/h*(h**(1\/2))**(-37) assuming h is positive.\nAnswer: h**(-6943\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**5\/4 - 5*c**4\/12 - 215*c**3\/3 + 600*c**2 - 58*c + 7. Factor v(y).\nAnswer: 5*(y - 8)*(y - 3)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73274 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2390, -4783, -7176, -9569, -11962, -14355?\n\"Answer: -2393*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5493*y - 5615*y + 32085634. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22504 and 316705?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 190, 388, 604, 838?\n\"Answer: 9*x**2 + 171*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360530 (base 7) in base 13?\nAnswer: 23822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 - 60*z**3 - 249*z**2 - 372*z - 180.\nAnswer: -3*(z + 1)*(z + 2)**2*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 115 = -52*b. Let n = 304 - 110. Suppose -4*m + 218 - n = b. Which is smaller: 23\/5 or m?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6526 + -251?\nAnswer: 6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8620, 7597, 6574?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*q - 10655, 2*y + 162 - 4420 = 2*q. What is the greatest common factor of y and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8982.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 - 4 - 19 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3965034 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*q + 224*q = 440*q - 175 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/65 + -217\/715. Let l = 4\/11 + k. Which is the smallest value? (a) -0.016 (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*((sqrt(2) - (-1 + sqrt(2) - sqrt(2))) + -3 + sqrt(2) - (1 + sqrt(200)))*-6)**2 + 5).\nAnswer: 172800*sqrt(2) + 493220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 76*l = -20. Let m(s) be the first derivative of l + 0*s + 4\/3*s**3 - 2*s**2. What is the second derivative of m(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 3. Let p be r(-6). Let k(h) = -29*h - 7. Let c be k(p). Suppose -v - u = -16 - 7, 0 = 4*v + u - c. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21836347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 10535.\nAnswer: -1\/10535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose p = d - 1. Find the second derivative of s + 3*s**d - 3*s + s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 19*z**2 - 14*z - 9. Let q be o(-20). Let g = q - -128. Let u(w) = 7*w**2 - w - 1. Determine u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*j - j - 36 = 0, 3*c + 2*j - 44 = 0. Calculate the greatest common factor of 18 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9776 and 1588976.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -6*i - 24. Let w be (-56)\/(-35) + i\/15. Is -3 + 1 - (-70)\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4 + 20\/(-40). Which is the closest to -2\/7? (a) -2\/7 (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1038, 1444, 1850, 2256, 2662, 3068?\n\"Answer: 406*s + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/2*(-15)\/(-25). Let w(m) = m**3 - 4*m**2 + 3*m + 2. Let i be w(o). Solve -i*u = -3 + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/5 - 53302551*v**2\/5 + 710290459125624*v\/5 + 710290512428176\/5 = 0?\nAnswer: -1, 26651276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -13*s**4\/24 + 4*s**2. Let g = -1 + 0. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-98))\/((315 + -316)\/(-1 + -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41548549 or 41548546?\nAnswer: 41548546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by (-196)\/(-2058) - 481\/(-21)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Let b = 1478 - 1469. What is the closest to 1 in b, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-564)\/1034 - (-288)\/165)\/((-5)\/100*1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6 - 3. Suppose 0 = r*z + 2*k - 49, k = -0*z + 4*z - 58. Calculate the remainder when 27 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) - (0 + sqrt(75)))*-1)**2*2 + ((-1 + -1*sqrt(75))**2 - sqrt(75)) + -3.\nAnswer: 5*sqrt(3) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 3981621.1.\nAnswer: -47779453.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, w: 1, f: 2}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-289)\/(-306) + 6. What is the fifth biggest value in h, -50, -5, 1\/4, -2\/5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a factor of 71228652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o - 5*o**2 - o**3 - 3 - 2 + 0. Give f(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-2 + sqrt(204))*-4 - sqrt(204))\/(sqrt(12) - (sqrt(12) - sqrt(84)\/(sqrt(28)\/sqrt(4) + sqrt(7)))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:13 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + (14 - 0 - 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {v: 1, r: 2, l: 1, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, a: 3, b: 8, v: 1}. Give prob of picking 1 b and 2 k.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 75. Let h(z) = z**3 - 3*z**2 - 3*z + 6. Let a be h(4). What is the highest common factor of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(4\/(-6) + 1). Let z be (-1)\/((d\/144)\/(-1)). Let v = z - -40. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 2, k: 3, z: 3}. What is prob of sequence zkc?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2166*j**3 + 1189*j**2.\nAnswer: 12996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7058784 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2336283 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {l: 5, v: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 264560?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 7*k + 4. Let w = 535 + -538. Let i be d(w). Solve 0 = -5*l - 5*j - 5, 2*l + 4*j + 7 - i = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610696612 to the power of 1\/2, to the nearest integer?\nAnswer: 24712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 3*m + 1. Let v be r(-4). Suppose -g - 77 = 4*j, -g - 4*j = -2*g - 53. Let d = v - g. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -5*j - 50, 0 = -4*j - 20. Is -9 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 + 6*k**3 - 17*k**2\/2 + 12*k - 389. Determine o(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23893*y - 31512*y - 3713*y.\nAnswer: -59118*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/30*2)\/(3\/2*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 + 5. Let s be (-8)\/3 + 7\/(-21). Let h be (-21)\/70*(-4)\/s. Which is the closest to h? (a) u (b) 3\/5 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - ((-4 - 3) + (-22 - -11 - -17))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34195152?\nAnswer: 2, 3, 631, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 74 = -2*z, w + 5*z - 24 = 0. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*7106\/646\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - 0.02. Let o = 3 + -2. Which is the smallest value? (a) -3\/4 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.95 millennia in centuries?\nAnswer: 8639.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 23*p**3 + 68 - 73 - 2*p as j*p + n*p**2 + h + a*p**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c**5 + 12255*c**4 + 786700*c**3 - 69375*c**2 - 843750*c = 0 for c.\nAnswer: -50, -1, 0, 15\/14, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 754?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:41 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*-6 - 5. Let i(o) be the first derivative of 3\/2*o**2 - 1\/6*o**6 - 3\/5*o**5 - 1\/2*o**k + o + 2\/3*o**3 - 1. Suppose i(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*c + 142*c - 167561. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let w = 4 + 1. Let g be u(w). What are the prime factors of g*5\/4*-2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42050 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 672\/176 - 2\/(-11). What is the second derivative of -i**s - 2*i**4 - 5*i + 4*i**4 + 2*i wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - m - 1 - 12, 0 = 5*w - 5*m - 25. Solve -w*p - 5*a = -13, -4 = -2*a + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 518, 540, 670, 956, 1446, 2188, 3230, 4620?\n\"Answer: 8*m**3 + 6*m**2 - 52*m + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 51027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0593 and -386703.\nAnswer: -386702.9407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -1, 4\/5, 0.065, -0.232?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5044 = a - 1365, 0 = 2*k + 3*a - 3691. What are the prime factors of k?\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9964 - 8. Round d to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -42408\nAnswer: 1\/42408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*k**2 - 643 + 55*k - 5*k + 648 wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(m + 0*m + 0*m) + 2 - 1 - 2*m + 0)*(29 + 23 + 10)*(11 - 5 - 11).\nAnswer: 930*m - 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2720*z - 5544*z - 5547*z.\nAnswer: -13811*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + -126. Solve 15*l - 7*l = -g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = 2*i, 2*o + 3*i = 1 + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:42 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2*o - 6. Let s(g) = 4*g**2 - 4*g - 13. What is 6*s(w) - 13*u(w)?\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 8, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.047 + -2.953. Let r = -4.964 + 0.964. Which is the nearest to -1\/2? (a) r (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -51. Suppose d = 5*i - 607, x*i + 4*d = -84 + 706. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + i**4 + 43 - 47 - 2*i to v*i**3 + c*i**2 + h + s*i**4 + m*i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735 or 268374\/365?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:43 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9)\/4 - (7 + -7). Suppose 3*y = 2*y. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 5*x - 2*x)*(-3*x - x + 6*x)*(-49 - 2 - 1)*(3*x - x - 5*x).\nAnswer: -936*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3574 + 3578. Which is the third smallest value? (a) 1 (b) f (c) 0.4 (d) 7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = v - 8, 3 = -2*v + 4*j + 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 - 7*w - 9. Determine i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -147, -455, -1053, -2037, -3503, -5547?\nAnswer: -8265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + c = 7 - 4, 2*o - 2*c = -6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.159\nAnswer: -0.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:24 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from pppfvnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 14 = -1. Let n be (-1)\/u*3 - -3. Solve -c + 1 = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*q + 4*l, 16 = 2*q + 12*l - 8*l. Suppose q = 14*s - 48*s. Solve -z - 3*f + 4 = s, 0*z + 4*f = -5*z + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34104 divided by 196\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (152070\/1295)\/(6\/28). Calculate the highest common factor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/6*(-8)\/((-112)\/357) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112252 divided by -7.\nAnswer: 16036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3\/5 + 30991*h**2 - 103301*h\/5 - 51651\/5 = 0.\nAnswer: -1\/3, 1, 51651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705953 is divided by 138409?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28923.3 and -944.\nAnswer: -29867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1135167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124564 + -124563.6. Let p be 2\/3 + (-8)\/(-6). Let k be 4\/(-10)*6\/p. What is the fourth biggest value in k, 4, 1\/2, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3428141*h**2*i**5 + 25730*h**2*i + h**2 - 6*h - 2 wrt i?\nAnswer: -68562820*h**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 330 - 285 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17520201 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2*n**3\/3 + 3*n**2\/2 - 3*n - 1204. Let r(g) = -g**2 - g. Calculate h(y) + 3*r(y).\nAnswer: -5*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -90. Let d be (-16)\/10*55\/2. Let s be ((-2)\/d)\/((-8)\/32). Sort g, s, -1\/4, 6.\nAnswer: -1\/4, s, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 38, -93 in descending order.\nAnswer: 38, 4, 1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 20 (c) 1 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18612 + 85957. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -17*d**3 - 4*d - 3. Suppose -11*v + 60 = -6*v. Suppose v*c = 16*c + 8. Is x(c) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -4 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 9.5506.\nAnswer: -3.82024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6 - 2. Let l(q) be the second derivative of q**3\/2 - q**2\/2 - 2269*q. Determine l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94135 divided by -5\nAnswer: -18827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 81774?\nAnswer: 899514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*t - 56, 0 = -2*o - 15*t + 10*t + 45. Calculate the highest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2164.\nAnswer: 3\/2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1262.096 - 1.096. Let t = 1255.91 - r. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5557\/9 - 610. Calculate the common denominator of t and -2\/347.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-4*c - c + 3*c + (2*c + 0*c - 3*c)*(2 + 1 - 1)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 2 = -4*j - 13*s, 2*j + 3*s = -21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, q: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 430*f - 221*f - 255*f.\nAnswer: -46*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10584 and 147042.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16)*0 + -9. Let v = m + 16. Let r be 4\/14 + (-23)\/v. Let t(a) = 3*a**3 + 4*a**2. Let j(y) = -2*y**3 - 3*y**2. Give r*t(h) - 4*j(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 5*s + 5*s)*(5 - 2 - 4) + 0*s - s + 0*s + 3748*s + 1256*s + 4302 - 4303 in the form m + w*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by 50676.\nAnswer: 61\/25338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99070*f + 99275*f - 1710 - 22070 for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1914 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 176487251 at most as big as 176487250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167672185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let v be o(-6). Suppose -6*n = -v*n - 810000. Round n to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 30 + 3*p - 3*p**4 - 5*p + 4*p**4 + p**4 - 6*p**3 wrt p?\nAnswer: 24*p**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3175084 + -8548.\nAnswer: -3183632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/15 + 115*x**4\/12 - 44*x**3\/3 - 442*x. Find the second derivative of o(k) wrt k.\nAnswer: -24*k**2 + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*d + 7 = 5*q, -5*q - d + 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the closest to -3\/5 in 14, -0.5, 0.2, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(6*4\/56*7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49744437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1067 and 0.4.\nAnswer: -1066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*m**4 + 4*m**3 - 10*m**2 - 4*m**3 - 7*m**4 wrt m.\nAnswer: -744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 2*a**5 - 2*a**5 + (0*a + 0*a + 2*a**4)*(a + 0*a + a) - 15*a**2 + 5*a**5 + 15*a**2 + (-3 + 3 - 2)*(6*a**5 - 509*a**3 + 509*a**3).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15036*i. Let w(z) = 3*z**2. Determine k(w(p)).\nAnswer: -45108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27532 - 27531.6. Which is the fourth smallest value? (a) -2\/15 (b) 0.5 (c) 3 (d) l (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1 (c) -4 (d) -5\/3 (e) 125.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at least -0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*v - 9 = 85, 0 = 5*v + 10. Is 50\/l - 8\/(-36) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1200208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.633 - 23.5. What is y rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h - 736 = 0, 116*f - 114*f = -5*h + 360. Calculate the remainder when f is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beye when four letters picked without replacement from {y: 6, b: 2, e: 7}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 + 597*j**3 - 1191*j**2 + 595*j = 0.\nAnswer: 0, 1, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -811525852?\nAnswer: 811525846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-10 + (11 - 2)) - 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*x - 9*x + 11*x)*(-3 - 1 + 3 + (2 - 3 + 3)*(2 - 1 - 2)).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611 and 2379.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80086924*j**2*p**2 - 74*j**2*p + 175*j**2 + 4*j*p - 2*j - 4*p**2 + 2*p + 19 wrt p?\nAnswer: 160173848*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Suppose u - 5*k - 20 = 7, 3*k + c = -4*u. Is 0 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5473654675.\nAnswer: 5, 218946187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97051379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(-1012493 + 66*j + 1012493) in the form w + r*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-138)\/1386*(-2)\/6 + (-4)\/14 and 456\/(-405) + 2\/10.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) + (sqrt(130)*2 - sqrt(130) - sqrt(130)) - sqrt(130)) + -3*(sqrt(130) + 1*sqrt(130) - sqrt(130)))\/(-2*sqrt(1440)*-6).\nAnswer: -sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.26387g to micrograms.\nAnswer: 47263870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 112*m = 2208. Solve -m - 57 = 20*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-97 + 1)\/2. Suppose p - d = -2*p + 71, -2*p + z = -d. Is p*(-1)\/(-2) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -9*g**5\/4 - 17*g**2\/2 - 41*g. Differentiate y(b) wrt b.\nAnswer: -135*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926 = -8*g - 246. What are the prime factors of g?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/33)*r)**(1\/3)*r*r**(6\/11)\/r*r*r*r**(-12) assuming r is positive.\nAnswer: r**(-901\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*t**5 + 53705*t**4 + 211575*t**3 - 278765*t**2 + 67425*t = 0. Calculate t.\nAnswer: -5, 0, 1\/3, 3\/4, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 4)*(2 + 4 - 14)*(-3*u - u + 5*u).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.12, -659, -4, -6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(2 - 0))\/((-19)\/(-57)). What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6144644 (base 9) to base 4.\nAnswer: -30200021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -2 - (-69 - -77)) + -3 + 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204822 is divided by 3419?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 + a + 1. Let n(l) = l**3 + l**2. Let g(v) = 18*v**3 + v**2 + 4*v + 4. Let m(o) = -g(o) + 5*n(o). Give 4*b(u) + m(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -7.3. Let q = 18 - 16.2. Let y = q - 1.5. Which is the biggest value? (a) y (b) p (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-1)*s))**0\/(((((s*s*s\/(s**(-2\/9)\/s))\/s)\/s)\/s)\/s*s**(4\/5)) assuming s is positive.\nAnswer: s**(-46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -30. Is 19*((-20)\/(-4) + i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -5, -1862?\nAnswer: -1862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -11. Let b = -3 + 2.8. Sort n, -7\/2, b.\nAnswer: -7\/2, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2773314 hours?\nAnswer: 998393040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 94*o - 1681 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 11575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 1\/4, -4, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*d + 80726*d**2 - 131*d.\nAnswer: 80726*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-4 - -4) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 2*u**2 + 7*u + 6. Let r(d) = d**3 + d - 1. Let h(b) = r(b) + x(b). Let c be h(-4). Solve -i - 11 = 5*z, 4*z - c*i + 3*i = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 19. Let a be i(-8). What is the greatest common factor of a and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 131346*u**2 + 17238103620*u - 3591210356032.\nAnswer: (u - 208)*(u + 262796)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 97 = 437. Calculate the highest common divisor of 85 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5 - 1067*z**4\/5 + 1486*z**3\/5 - 424*z**2\/5 = 0.\nAnswer: 0, 2\/5, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -170220 (base 11) in base 16?\nAnswer: -4067a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:16 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-125))\/(1 - (-46)\/(-40)) + 2115\/264.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*p - 277*p + 148*p.\nAnswer: 398*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*k - 166, -5*k = -3*k + 2. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -2\/3*w**6 - 1\/12*w**4 + 0*w**3 + 0*w - 6*w**2 - 14 + 17\/15*w**5. Find the third derivative of n(i) wrt i.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**4 - 21*u**3 + 136*u**2 - 122*u. Let p(s) = 2*s**4 - s**3 - s**2 + 5*s. Let w(n) = -4*p(n) - 2*r(n). Find t such that w(t) = 0.\nAnswer: 0, 1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + r**2 + r + 1. Let y be f(-1). Let z be (4\/(-6))\/((-1)\/y). Let u be 44\/(-85) + (-10)\/(-25). What is the closest to z in 2, u, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 - 4*l - 4. Determine i(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682248 is divided by 6023.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 6*y + 3. Is b(-5) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22359 is divided by 4761.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8453174 is divided by 2081.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 24, 30, 32, 30?\n\"Answer: -2*c**2 + 16*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 33*o**2 - 7*o - 5. What are the prime factors of i(-3)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/24)\/(1\/(-6)). Which is the closest to 0? (a) 0.4 (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 25 - 7, -2*g = -l - 599300. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 1, s: 2, c: 1, p: 4}. What is prob of picking 1 c, 1 p, and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/6 - 44*q**2\/3 + 328*q\/3 - 640\/3 = 0?\nAnswer: 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/((-36)\/162).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/((-875)\/(-84)))\/(2*6\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 = 21. What is the fourth smallest value in -3\/7, -0.3, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + q. Let u(w) = 5*w**2 - w. Let a(y) = -4*f(y) - 3*u(y). Let s be a(2). Let t(r) = r**s + 0 + 1 + 0. Give t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 13*r - 1. Let o(f) = 925*f + 7. Let t(m) = -771*m - 6. Let z(i) = -5*o(i) - 6*t(i). What is d(p) + 2*z(p)?\nAnswer: -p**3 + 15*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15645*g + 15643*g - 38738*g**2 + 38717*g**2.\nAnswer: -21*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 3. Let j be 105\/(-9) + (-1)\/3. Let l = 17 + j. What is the least common multiple of s(-10) and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 205*q = 206*q - 4, -s + 3*q = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -7.7, 0.4, -0.2, -1\/3 in decreasing order.\nAnswer: 0.4, -0.2, -1\/3, -7.7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3858628 (base 9) in base 10?\nAnswer: -2105864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-135))\/(30\/6*(-9)\/27).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -4*h - 36. Let w(b) = -b**3 + 7*b**2 - 3*b + 5. Determine w(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -12 (c) 2\/103 (d) 1 (e) 2038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**2 + l**2 + 5*l**2)*(-4 - 4 + 1) + (-15*l + 12*l + 92*l)*(-3*l + 3*l - 2*l) to k*l**2 + o + r*l and give k.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*v - 102 = 307*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -622*k + 1018 with respect to k.\nAnswer: -622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s + 21 = -r, 0 = -r + 5. Suppose -85 = -4*k - s. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 0*v + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68704 times -0.3?\nAnswer: -20611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 55 + 25. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43524 and 351.\nAnswer: 43524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0\/(v*v*v*v\/v**(3\/2)*v*v))\/(v**(-5\/6)\/(v*(v**(1\/3)*v)\/v)))**29)**(-16\/3) assuming v is positive.\nAnswer: v**(3248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 + 4*t - 6. Suppose -3*d + 8*d = 0. Suppose -8*a + 9*a - 2 = d. Suppose -a*o = -6*o - 20. What is y(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -759 - -1286. Let z be 12\/(-2)*(-2)\/12 + 3. Suppose -5*r = 3*l - 652, l = z*r - 2*l - u. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18446 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245802 is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3949 - 0.6051. Sort -241, 1, -2\/3, u, 1\/2 in descending order.\nAnswer: 1, 1\/2, -2\/3, u, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 + (5 - 4 + 0)*(-3 - 3 + 1) + 4 - 2 - 4)*(14*f**2 - 3*f**2 + 7*f**2).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 308\/465671 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23925434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 0*a**2 - 4*a**2)*(-5*a + 4*a + 0*a) to i*a**2 + t*a**3 + p*a + m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuhhu. What is prob of picking 3 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 2. Let g be w(-5). Let v be (-3 + (-21)\/g)\/2. Suppose -4*l + 20 = -v*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27770.\nAnswer: 2, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f + 276 = 4*s, 0 = -2*s - 4*f + 156. Suppose -s*p = -65*p. Which is the nearest to p? (a) 2 (b) 4\/9 (c) 4 (d) 30\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 + 0.59. Put j, -2\/13, -0.4 in decreasing order.\nAnswer: j, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 + 3*m**3 - m - 16. Let g be k(-9). Which is the nearest to g? (a) 2 (b) 0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t = -109*t - 80 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.3, 0, 2 in increasing order.\nAnswer: -17, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - l + 49, -4*q - 4*l + 111 = 35. Solve 2*k - w + 1 = -2*w, 5*w + q = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12*54\/(-45)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66519 divided by 22173.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2 - 474248*b + 3319785 = 0?\nAnswer: -474255, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4*j - 40 - 8, j - 57 + 31 = 3*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95658.2827 rounded to the nearest 10?\nAnswer: -95660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 plus 225?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + n - 2. Let a(v) = 1. Give 6*a(g) + o(g).\nAnswer: -g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i + 4*i. Let s be 58*(35\/(-10))\/(-7). Let u = 30 - s. Solve u + 4 = -i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121987 - -2?\nAnswer: -121985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 5 + (-2)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*w**3*x**2 - 2*c*w**3 + 5*c*w**2*x - 4*c*w*x - 6*w**3*x**2 - 6*w**2 - 272*w*x**2 + 2*w*x wrt x?\nAnswer: 4*c*w**3 - 12*w**3 - 544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**3 + w**2 + 6*w - 1. Let q be t(3). Suppose 0 = -4*h - 43 + q. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 6858, 1\/6, -146\/3, 2\/3, 0.2?\nAnswer: 6858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*v + 3*v + 27*v)*(0*v**3 - 3*v**3 - 2*v**3) - v**4 - 2*v**4 - 13*v**4 to q*v + s*v**3 + k*v**4 + z + j*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-1 - (-2)\/6). Suppose -2*t = -2*f + 3 + 1, 5*t - l*f + 8 = 0. Suppose 44 + t = 4*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913786659 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13404, 26791, 40178?\n\"Answer: 13387*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*y + 125. Suppose 5*o = -20, -b + o + y = -9. Is 4 a factor of (-10)\/3*(-96)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - 4*m**4 + m**4 + (0*m + 0*m - 2*m**3)*(-2*m + 4*m - m) + 0*m**4 + 3*m**4 - 4*m**4 to the form k*m + c + x*m**4 + d*m**3 + l*m**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*y - 7*z, y + 11163*z - 11160*z = -31 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 23*a**3 + 22*a**3 + (9*a - 4*a + 2*a)*(0*a + 0*a - a**2) + 5*a**3 - 3*a**3 - a**3 + (3 + a - 3)*(-1 + 2*a**2 + 1).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-36)\/6))\/((-19)\/(-342)*9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/30 - 1598\/1410. Does f = 9\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 9*a - 48. Let x be g(11). Let t = -387 - x. Let w(i) = 3*i**3 - 3*i**2 + 1. What is w(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1892125?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378671*s**3 - 4905.\nAnswer: -1136013*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j - j - 20 - 16*j. Let p(h) = h + 8. What is 5*a(t) + 12*p(t)?\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - 5*j + 10*j - 2 in the form l + o*j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2994 - 2994 - 378*c**2 - 88*c**2 - 572*c**3 wrt c?\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92779*r**3 + 135595*r?\nAnswer: -556674*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-190)*(-31)\/3348*18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 24179353.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 125*m**3 + 3*m**2 - 3*m - 1. Let q be u(-3). Round q to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4510673, -9021319, -13531965, -18042611, -22553257, -27063903?\nAnswer: -31574549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 19878?\nAnswer: 19878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313323401 (base 6) to base 13.\nAnswer: 11a0a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -96 + 10*s + 50 + 58*s**2 + 48. What is the tens digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 12*g + 67. Let o be z(16). What is the nearest to -16 in 5, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let d = -2 + 7. Suppose d*q + t = 12, 6 = 5*q - 3*q + t. Let k(i) = 3*i**q - 5*i**2 + 4*i**2 - 4*i**2. Calculate o(k(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10606577*p**5 + 12063271*p.\nAnswer: -212131540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from {g: 2, u: 1, d: 4, n: 1, z: 8}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025725 less than -2?\nAnswer: -1.974275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 13 = -1. Let k = s - -16. Solve 4*y - k = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-55)\/6) - (-3504)\/1584\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 4\/14 - (-3500)\/98. Suppose q*d - 252 = 18*d. Calculate the remainder when 77 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 14 - 16)*(262*r**2 - 262*r**2 - 25*r**3) to the form u*r**2 + x*r**3 + h*r + s and give x.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865, -683, -189, 773, 2359, 4725, 8027?\nAnswer: 12421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x + 3\/2*x**4 + 0*x**3 - 5 + 0*x**2. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 5. Calculate i(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 1254 = -1037. Sort j, 1, 4.\nAnswer: 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklkkiikikkhkk. Give prob of sequence hkl.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - (8 + -13)) + -46 + (4 - -57)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {i: 7, x: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 188\/7 + 0 - (-24)\/(-28)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5809 - -12793. Which is greater: 6983 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 2*g - 27. What is d(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(21\/198) - 1 and 54\/(-64)*(-8 + 2).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b**2. Let p(o) = 21*o**2. Let h(l) = 9*d(l) + 7*p(l). Let k(g) = 382*g - 7. Give k(h(n)).\nAnswer: 1146*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220*c**2*s*u**2 - 1940*c**2*s - 54*c**2 + 4*c*s - 10*s*u**2 + 2*s - 2*u**4 wrt u?\nAnswer: 440*c**2*s*u - 20*s*u - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -509 (b) -1\/155 (c) 0 (d) -2 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4 + 717*d**3 - 50896*d**2 - 51612*d = 0.\nAnswer: -782, -1, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 81770000 to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a + 3*a + 1 - a + 0*a + 0*a - 4*a + 2*a + 3*a + (0*a + a - 4*a)*(-2 + 2 - 1) + 2*a + 2*a - 2*a - 2*a + 3 - 3.\nAnswer: 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 - -8b43?\nAnswer: 8b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/16 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 113486\nAnswer: 141\/113486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 429. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42\/137 + -3035\/9453. Is -0.9 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*s + 27 - 2224 + 164*s to p*s + d and give d.\nAnswer: -2197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 5. Let x(m) = -1. Give 2*w(p) + 10*x(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 577944 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -220*-10112\nAnswer: 2224640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -l - s*l + 12 = 0. Suppose 5*o = 12 + 3. Solve l = c + o*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55359441.\nAnswer: 3, 6151049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + x - 1. Suppose -25 = -0*w - 5*w. Suppose 3*o = -0*u + w*u + 1, 4*o = 4*u + 4. Let m be p(u). Put 6, m, -2 in increasing order.\nAnswer: -2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -1 (b) 1 (c) 0.4 (d) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, -4, 10, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(8*j + 14*j + 5*j)*(1 + 0 - 4).\nAnswer: -648*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 13761?\nAnswer: 233937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 96 = -12*u, 2*p - 112 = -4*u - 80 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2515 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12291 is divided by 279.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*l**2 - 23*b**3 + 18*b**2*l**2 - 102*l**2 - 2*l + 5 wrt l.\nAnswer: -4*b**3 + 36*b**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23303321 - -11?\nAnswer: -23303310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 34\/8. Let w(p) = 14*p**2 + 13*p - 33. Let x(a) = -3*a**2 + 1. Let r(z) = w(z) + 4*x(z). Let i be r(2). Solve i*q - u*q = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 2. Let j be h(-5). Suppose -11*d + 54 = -j*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10881 divided by 279?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 18*r = -1468. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 5*h + 6*a, h + 24 = -0*h - 1766*a + 1762*a for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/78)\/(270\/(-2511)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -58821 and -61483 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938310 divided by -2630?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i - 25 - 25 + 50 + 0*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*g**3 - 4)*(2*g + 5 - 5)*(12*g + 14*g - 11*g) + 0 + g**2 + 0 + g**5.\nAnswer: -149*g**5 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*f + 489*f + 1 = 0. Solve f = 4*y - 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = 4*v. Let h be (44850\/45)\/(v\/6). Round h to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w - 2*w)*(13*w - 2*w - 2*w) + 4 + w - 37*w**2 - 2*w + 34*w**2 as i*w**2 + b*w + f and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 - 12 = -3*n, -8 = -n + 4*i. Suppose 0 = 3*a + 3 - 24. Let j = n - a. Which is greater: 2\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10591052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 - l + 25*l**3 + 9*l**3)*(-3 + 2 + 4*l - 2*l).\nAnswer: 58*l**4 - 29*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -62 (c) 0.4 (d) 1\/2 (e) 4 (f) 2.9 (g) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1131180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 392, -110, 1 in decreasing order.\nAnswer: 392, 1, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j - 2*j)*(-2 + 1 - 1)*(-2 - 2*j + 2).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 61.9582. What is l rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000897 to seven dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 251*b + 9122. Give m(-207).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (13 - 15)) + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 14752440 to the nearest ten thousand.\nAnswer: 14750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.182 - -0.1819897. What is f rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpmmmpmpmpmmpmp. Give prob of picking 1 m and 2 p.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 237, 340, 425, 486?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6927.0818 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342421.\nAnswer: 571, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 38*s + 1016. What is the least common multiple of 200 and g(-24)?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -917 + 923 + (-2 - (9 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050808808 to 7 dps.\nAnswer: 0.0000508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -5 in descending order.\nAnswer: 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.14 - -0.86. What is the nearest to -4\/9 in 4\/15, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 321\/(-765) - (24\/(-20))\/3. Is k at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978399 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 2. Let f be (30\/(-9) + 2)*75. What is the common denominator of -24\/11 and ((-5)\/f)\/(j*3\/1395)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 34776?\nAnswer: 34776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n - 73. Let o be z(14). Let c be (-3 + 2)*2*(-6)\/4. Put o, c, 2 in decreasing order.\nAnswer: c, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oook when four letters picked without replacement from {o: 3, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18275.\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + (-117)\/(-45). Determine q so that -5*q**3 - 7*q + 0*q**3 - 2 - 6*q**2 + 3*q**z + q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 + n**2 - 3*n**2)*(7 + 4 + n**2 - 7) - 317*n**4 - 320*n**4 + 62*n**4 in the form o*n**2 + x*n**3 + q + t*n + z*n**4 and give z.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -39*v - 3. Let h be s(-2). Let c be h - (-3 - -2)*-1. Suppose 0 = d + d + 4*m - c, 159 = 5*d - 3*m. Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3102112 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l\/l**(-18)*(l\/l**(-1))\/l*l*l**(-1\/8)*l*l assuming l is positive.\nAnswer: l**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412825?\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 20 = 0. Calculate the highest common factor of 40 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let x be t(-1). Let p be x - (0 - -1) - 2. Let y(c) = -75*c**3 - 2*c**2 - c. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 1. Let t(l) = -l**3 - 8*l**2 - 1. Let p be t(-8). Let c be u(p). Let j(o) = 4*o**3 + o - 1. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57208 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -381\/47 + 106613\/12972. Find the common denominator of 13\/552 and b.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -3, -42, 0.61735?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 29*x + 0 - 1\/6*x**3 + 6*x**2 - 1\/12*x**4. Calculate n(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*p**(-7))\/p*p))\/(p**(-1\/2)\/p))\/(p\/(p\/(p\/(p**(2\/9)*p))*p))**42)\/((p**(1\/2)\/p**3)\/((p*p\/(p**(1\/2)\/p))\/p**(-5))) assuming p is positive.\nAnswer: p**(419\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 3. Suppose -i - 4*b = -32, -2*i - 3*i - 5*b = -100. Let f = -11 + i. Let z(a) = a + 2. Determine f*z(j) + 4*d(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 247*u**2 + 3201*u - 411. What is s(-13)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -276*w - 53*w - 1748 + 11618 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.037 + 0.063. Which is the closest to v? (a) 6\/7 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/((-6)\/822). Let a = m + 92. What is the common denominator of a and -21\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Let t be f\/3*(-90)\/70. Is t <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 2. Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 9*j**2 + 11*j - 5. Let c be s(10). Suppose -5*w + 215 = -c*b, -2*b - 3*b - 167 = -4*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6438584.\nAnswer: 2, 804823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -23739516.\nAnswer: -403571772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*g - m + 143, -204 = -3*g - 3*m. 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: Round -0.642602 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*j = 10, 0*i - i - 5 = 2*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0 - 6) + (5 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 9 + 16*y**2 - 18 - 2*y**2 in the form u + r*y + j*y**2 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Factor 4*q - 11*q**2 + 8*q**i + 0*q**3 + 5*q**3 - q**4 - 5*q**2.\nAnswer: -q*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28663 to the nearest 100.\nAnswer: -28700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2\/15 in descending order.\nAnswer: 5, 2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 17, b: 2}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1) - (7 - 8). Solve -3*u - l = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 3408088916.\nAnswer: 3408088917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1066*i**4 + 533*i**4 - 47*i**3 + 536*i**4 + (3*i**3 - 3*i**3 + i**3)*(0*i + 0*i + 2*i).\nAnswer: 5*i**4 - 47*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(2597\/(-1060)) - -23\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 + 0 = 0. Let s = -418.42 + 419.62. What is the biggest value in h, 2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 14 (b) -0.5 (c) -2\/9 (d) 0.07 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, 0.1, 7, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 + 40*m + 15. Let u(h) = h**2 - 10*h - 4. Let r(k) = -9*u(k) - 2*w(k). Let s be r(-9). Which is the closest to 1\/4? (a) 2 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234142, 467994, 701846, 935698?\nAnswer: 1169550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 18. Put 2\/3, 2\/11, l in descending order.\nAnswer: l, 2\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, n: 2, o: 2}. Give prob of sequence nx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 14) in base 2?\nAnswer: 101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10697703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.617 - -0.917. Let x be ((-2)\/(-21))\/((-1)\/(-3)). Which is the nearest to 2\/3? (a) m (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 45 (b) 2.73 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 60*o - 850 = 23*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikpkkwpkiih. Give prob of sequence ph.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17759\/8 - -2223. Calculate the common denominator of j and -7\/150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1343187, 1343186, 1343185?\n\"Answer: -p + 1343188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - (1 - (-9 - -15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let y(l) = -37*l**2 + 27*l + 4. Let c(b) = -4*w(b) - y(b). What is the second derivative of c(u) wrt u?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwwwwwwwwwwwww. What is prob of picking 1 p and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 440729229 to the power of 1\/2, to the nearest integer?\nAnswer: 20994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*o - 0*o - 62, n - 27 = -5*o. Suppose 3 + n = 4*l. Let f(x) = -x**2 - 22*x - 15. Let u be f(-21). Solve l*v - 21 = -u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 - 0.054. Let v = j - -17.394. What is v rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/8, 13\/6, -1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025363659 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p**3 + p**2 + p. Suppose 0 = 2199*c - 2197*c + 2. Determine t(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(6\/1926). Let w be 0 + -1 - (n + -2). Suppose -4*c - w = -5*f, -3*f + c + 92 = 23. Calculate the remainder when 140 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8031, -18, 0, 3 in descending order.\nAnswer: 3, 0.8031, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*x = -0 + 12, -11*x + 33 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*b. Which is greater: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p**2)*(-4*p**3 + 4*p**3 + p**3) - 7*p**2 - 3*p**4 + 437*p**5 - 4952681 + 4952681.\nAnswer: 435*p**5 - 3*p**4 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l - 5*l**4 + 0*l**2 - 3*l**2 - 2 + l**2 - 6*l in the form n*l**3 + o*l**2 + y + q*l**4 + h*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-10) + (-882)\/(-10) + -4 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162+-48.73252\nAnswer: -210.73252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 24*p - 308 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8378.98 to the nearest ten.\nAnswer: -8380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 33. Let z be o(9). Solve z*h = h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33068.935 to the nearest 10.\nAnswer: -33070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 305093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103383177 to the nearest integer?\nAnswer: 33217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 263434818 and 17.\nAnswer: 263434835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6519*m - 7041*m - 10036*m = -1085416 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 231\/6*(-8)\/(-14). Calculate the greatest common divisor of 132 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*k**2 + 380*k - 152754.\nAnswer: 52*k + 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -0.5, 216.7, -0.17 in decreasing order.\nAnswer: 216.7, 0, -0.17, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/60 - l**4\/24 - l**3\/2 + l**2 - 3*l. Let q(w) be the first derivative of u(w). List the prime factors of q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/21)\/(1\/(-1767)). Let d be 1\/(3 + l\/393). Suppose -3*u + 6*u = d. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + r**2 - 14*r + 0*r**2 + 0*r**2.\nAnswer: -r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {l: 8, b: 2, s: 1, z: 3, e: 1, t: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 60716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/168070 and 37\/705894.\nAnswer: 3529470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 22. Suppose -4*y = h, -6*n + 4*y + 1028 = -n. Let p be (0 - (-58)\/n) + 2\/(-17). Which is the nearest to 2? (a) -2\/7 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 1600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.039 and -1.\nAnswer: -1.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/(-550) + (3 + -2 - 1 - (-134)\/(-670)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/z**(2\/7))\/(z**(-2\/5)\/(z**(-8)\/z)) assuming z is positive.\nAnswer: z**(-291\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z + 9 = 0, 2*z + 66 = -4*c. Let f be ((-24)\/c)\/(4\/10). Suppose 54 - f = 2*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 55 (c) 0 (d) -0.3 (e) -3472\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45 + -1 - (1 + -3).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20192 + -20402. Do -211 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -425, -950, -1685, -2630?\nAnswer: -3785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 2949433299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 - 3*v - 19. Let f be u(-4). Suppose 3*x + 5*w - f = 2*w, 4*x = w + 32. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63782 is divided by 686?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -12 + (8 - 12 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-15)\/20 + 50\/56).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10521186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-2)))**11\/(o**(-2\/3)\/(o\/o**(-4\/3)))*((o*o**(-1\/3))\/(o*o**7))\/(o**3*o**(-1\/2)) assuming o is positive.\nAnswer: o**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 623269931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 13, -2, 0, 2831, 2, -4 in decreasing order.\nAnswer: 2831, 13, 2, 0, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/28055402 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4029.96526 + 4030. What is n rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123199748 divided by -854?\nAnswer: 144262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 904 (b) 3417 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -260?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100233 and 33411?\nAnswer: 100233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*l + 2*l. Suppose 18 = l*f - 3*f. Suppose 0 = d - f - 8. What is the remainder when 67 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.5 (c) -9 (d) 0.2 (e) 5040\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -21*c + 16*c - 5*b, -2*b = -4*c + 22. Solve 5*s - 37 = c*r, 3*s = -4 + 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3*3 + -1. Let g(h) = -43*h + 918. Let t be g(21). Suppose -t = z - c. What is z rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 14 (b) -3\/7 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -133. Let y = t + -36. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 7*m**4 - 2*m**4 + (4*m**4 - 2*m**4 - 3*m**4)*(-111 + 110 + 76).\nAnswer: -73*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6914385.\nAnswer: 3, 5, 19, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -47*x**4\/2 + x**3 - 10*x + 95. Find the third derivative of j(t) wrt t.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/76100 - 11536763\/228300. Let h = j + 51. Let f = h - 2\/5. Is f greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 1005511.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126048*k - 252176*k + 126060*k.\nAnswer: -68*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 1 + -1)*24. Let d be (-6)\/4 - (-190)\/20. Calculate the greatest common factor of d and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*s - 5*w, 10*s - 2739*w - 45 = -2744*w for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 379024*r**2 - r + 3133207.\nAnswer: 758048*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.0669\nAnswer: 0.02007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2771? (a) 52 (b) 1\/4 (c) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.2 (c) 0.1 (d) 3 (e) 244 (f) -285\/17 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 177. Suppose 1 + 2 = 3*o, -5*d - 5*o = -460. What is the smallest value in u, d, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d**3 + 2*d**2 + 1. Let t be f(-2). Calculate the remainder when 22\/t + (-1030)\/(-22) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 0*u + 4*u, -4*m - 4*u = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 1. Let t(y) = 3*y + 1. Let a(p) = -6*h(p) - 7*t(p). Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q + 14*q**3 - 11*q**3 - 16*q + 9*q.\nAnswer: 3*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18187095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133786 and 18163?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1465, -2924, -4383, -5842, -7301, -8760?\nAnswer: -10219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188943?\nAnswer: 7, 31, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/2947 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588749 - 588770 = z - 2*o, -5*z - 3*o - 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.38 - 2?\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*151\/((-66440)\/480)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d*d**(-1\/4)*d)\/((d*d**(1\/8))\/d**(-2\/19)) assuming d is positive.\nAnswer: d**(-985\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 15*m + 126. Let o = m + -43. Let g(s) = -9*s**2 - 2*s - 1. Determine g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05449 or -2?\nAnswer: 0.05449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -43, -73, -109, -151, -199?\n\"Answer: -3*g**2 - 15*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 8*x**2 - 3*x + 23. Give a(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 36801?\nAnswer: 36800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35905.3 rounded to the nearest one hundred?\nAnswer: 35900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10, -5*r + 22 = 2*q - 2. Suppose -3*w = 4*n - 185, 4*n + r*w - 231 = -n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -92*m + 2 + 57*m + 5 + 2*m**2 + 43*m. Let l be t(10). Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 20 - -13 - (3 + 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 274 (c) -21 (d) 0.5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 30867.\nAnswer: 30867.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 27 + 52. Let n(m) = -m**3 + 7*m**2 + 8*m + 4. Let r be n(s). Let o = -13 + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u + 6037. Let k(a) = -3*a - 1508. Calculate -9*k(w) - 2*r(w).\nAnswer: w + 1498","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 11.4. Let y = -13.5 + b. Let m = 2.8 + y. Sort -1, 0.1, m in increasing order.\nAnswer: -1, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 0 + 2)*(-9 + 12 + 2*m - 5) to r*m + n and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(2\/7)\/((b*b\/(b*b**(-5)\/b))\/(b**4*b))*b**3*b*b*b**0*(b**4*b*b)\/b**(-3) assuming b is positive.\nAnswer: b**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(1\/10)))**(-4\/13))**(-13\/6) assuming z is positive.\nAnswer: z**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y - 13. Let s(m) = m. Let t(d) = -f(d) - 4*s(d). Let w be t(-6). Suppose r = -2*r. Sort 1, r, w.\nAnswer: w, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-24))\/(10\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10188240 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 + 0.01. Let m = -191 + 190. Which is the closest to 0.1? (a) m (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4705 + -4704. Let g(o) = 16*o**2 - 7*o + 2. Give g(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2*t - 371*o**2 + 2*o*t**4 - o*t wrt t.\nAnswer: -2*o**2 + 8*o*t**3 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -988 - -1132. What is the remainder when y is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**2. Let z(l) = 13*l**2 - 5. Let j(s) = 7*s**2 - 3. Let d(k) = -5*j(k) + 3*z(k). Give d(x(m)).\nAnswer: 676*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 + y**3 + 2*y**2 - 17. Solve o(z) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.90326756 + 0.09673804. Let m = 15.61 + 0.39. Let v = m - x. What is v rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 13. Let y(i) = -i + 1. Calculate -r(v) - 2*y(v).\nAnswer: -3*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from olblddllllolldlld?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2724 (base 9) in base 16?\nAnswer: -7ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -11, -30, -57, -92?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6522*i + 6552*i - 2*i**3 - 19630*i + 6556*i - 3*i**2 + 3*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 2) + 12 - (1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 241983109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:35 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-120)*5)\/((-1)\/2). What is the fourth smallest value in -3\/5, 2\/7, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -23*j**4\/12 - 8*j. Let h(n) = -2*n. Calculate z(h(f)).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37127 = 2*r - 17363. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15625000*b**5 - 6047062500*b**4 + 18072563250*b**3 - 216290251*b**2 + 864387*b - 1152 = 0. Calculate b.\nAnswer: 1\/250, 3, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*k + 440*k - 18382491 = 55*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -20. Let i = q + 5. Suppose -i*w + 11 = -3. Solve -w = 2*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/29)*t)\/(t*(t\/(t*t**(2\/3)))\/t))\/(t**(-1\/9)*t*t**13*t) assuming t is positive.\nAnswer: t**(-3172\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310)\/(-434)*6\/(-10)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*a - 2*a**2 + 10*a**2 + 52*a + (-2*a - a + 0*a)*(2*a + 5*a - 4*a) to the form f*a**2 + l*a + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21760489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n + i = -17, 4 = n + 3*i. Suppose 3*v + 0*v + 12 = 0. Let x = v - n. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {g: 3, d: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 258*g**2\/7 + 880*g\/7 - 15000\/7.\nAnswer: 2*(g - 6)*(g + 10)*(g + 125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 267.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12 + 21.12. Let m = w + -37. Let u = -15.912 - m. Round u to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64327903836.13 + 0.6?\nAnswer: -64327903835.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 - z**2 + (0*z - 2*z + 0*z)*(0*z + 2*z + z) + 0*z + 0*z + 5*z**2)*(-3*z**2 - 7*z**2 - 8*z**2 + (-4*z + 4*z - z)*(3*z - 3*z + 2*z)).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 29728?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 2. Let w be t(0). Suppose 0*k = 2*k - 6. Suppose k = 2*r - 7. Solve r*g - w = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = -5*j - z + 217, 3*j = -2*z - 22 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -196839?\nAnswer: -22\/196839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-595)\/(-34629)*42\/(-35).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 14332*n - 28672 = 0. Calculate n.\nAnswer: -7168, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 195, 286, 377, 468?\n\"Answer: 91*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q - 116. Give y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1052041533 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-21))\/(162\/63). Let r = -0.1 - 0.1. Which is the third biggest value? (a) r (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-22 + 47 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1380502206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:45 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 751.049 decades?\nAnswer: 90125.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -581*b**5\/4 + 1003*b**4\/4 + 4387*b**3\/4 + 3433*b**2\/4 + 311*b\/2 - 2 = 0. Calculate b.\nAnswer: -1, -2\/7, 1\/83, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20915\/1299 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*p = 98598, -p + 147913 = -76*d + 79*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27649 is divided by 223.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 12*x + 11. Let c be 6\/(-7) - 980\/(-343). Suppose 0 = 6*k - c*k - 3*y + 55, 5*y = -k - 8. What is q(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 295*h - 299*h, -4*q + 0*h = -3*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-423)\/9 + (25 - (-434)\/(-14))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 587 = 3*j + 12*s, -j + s = -209. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 22 = -2*m, 13*m = 9*m - 24. Solve 5*k - 12*c = -15*c + 10, 0 = 3*k + 5*c + d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*f - 2*u, 2*f + 2*u = f - 17. Let o = -9 - f. What is the highest common divisor of 20 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(88)\/(sqrt(36) + sqrt(4)))\/(4*(sqrt(11) - (sqrt(11) - sqrt(44)))).\nAnswer: 3*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291466 is divided by 22420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.618 and 31642367.\nAnswer: 31642363.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**(-2\/3)\/n))**(2\/3))**37)**(-3\/29))**(-45) assuming n is positive.\nAnswer: n**(8880\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1364 - 1381.14. Let h = q + 17. Let c = -0.4 + h. Round c to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16338452?\nAnswer: 2, 13, 43, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5 + 2 + 0 + 7*o. Let h = -34 - -23. Let w(u) = 67*u - 32. Let z(f) = -23*f + 11. Let q(a) = h*z(a) - 4*w(a). Calculate 6*q(n) + 13*s(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o. Let w = 106.1 + -101.79. Let c = w + -0.31. What is the nearest to 0 in -2\/3, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 33*x**2 - 562*x - 56. Calculate h(27).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/300 + w**5\/20 + 29*w**4\/120 - 3*w**3\/5 - 2*w**2 + 12. Factor n(c).\nAnswer: -(c - 9)*(c + 2)*(2*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/42*(411 - 414) + (-268)\/(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:40 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 8235.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(27)\/sqrt(3)) + 0 + sqrt(6)\/sqrt(3))*1 + 2 + sqrt(98)*-1 + sqrt(98) + -3)**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 3*b**2 + 4. Let w be g(-4). Let t = -21183\/11 - -1928. Find the common denominator of t and (-120)\/117 - w\/18.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/(-6) - 12\/(-9). Let x(k) = -k**2 - 2*k - 3. Determine x(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 147*t + 4146. Is l(79) a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -60*y**5 + 4652*y**4 + 83544*y**3 - 341712*y**2 + 220256*y + 185472 = 0.\nAnswer: -18, -7\/15, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1180791\/164 or 7199?\nAnswer: 7199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*c - 3*c. Suppose c*n - 4 = 5*j, -2*n = 4*j - 0*j - 10. Suppose 18 = n*g + 3*g. Solve -3*t + x + 5 - 4 = 0, -g*t - 19 = 4*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + 101?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0185 + -0.2211.\nAnswer: -0.2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201061989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -13654057\nAnswer: -17750274.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - -141. Is -3\/5 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1023003103330?\nAnswer: 1023003110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 30072?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -464, -930, -1396, -1862?\n\"Answer: -466*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1870 and -0.15.\nAnswer: 1869.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*r + 0 + 9\/5*r**3 - 3\/5*r**4 + 18\/5*r**2.\nAnswer: -3*r*(r - 4)*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:47 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 19338*q**2 + 21186*q**2 - 37060*q**2. Let b(h) = -3*h. Calculate b(z(y)).\nAnswer: -10392*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (-1 - (-2 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 20 + -12 + (-2 - 1) + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 17 = -p - 4, -224 = 5*p - p + 165*d - 222*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/1260 - r**5\/60 + r**4\/6 - 3*r. Let l(j) be the third derivative of s(j). Factor l(q).\nAnswer: 2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 - 3446 + 0*h - h + 1730 + 1737 + 0*h to y + b*h + p*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061 is divided by 77.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -7, -26, -53, -88?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48452354?\nAnswer: 2, 2939, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(1\/387) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -7, -1\/3, -3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 7*t = 40, 4*h - 2*t - 414 = -422 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 206?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**7\/35 + w**5\/10 - 7*w**2\/2 + 7. Let n(t) be the second derivative of q(t). Find the third derivative of n(z) wrt z.\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {d: 1, k: 2, n: 1, z: 1, w: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11470106 less than 11470107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(1300) - sqrt(1300)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*i + 113*i + 4*d = -13, 5*i - 2*d + 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqk when three letters picked without replacement from zpypkzqm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 14. Let l(t) = -18*t**3 + t**2 + t. What is the remainder when l(-1) is divided by (-203)\/(-21) - m\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:05 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_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: Let i = 2649\/10 + -902\/5. Let w = 85 - i. Find c such that 1\/2 + c**3 - w*c**5 - 1\/2*c + 1\/2*c**4 - c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/136*(-24)\/30. What is the closest to 0.2 in -2, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/5)*w*w**(-2\/15)*w*w\/(w\/w**(-3))*w\/(w\/(w**(-3\/4)*w)))**43 assuming w is positive.\nAnswer: w**(-1075\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (63\/(-18))\/(123\/533) and 18\/22 - (-2)\/4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335 + 1308 - (-51 - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-60))\/(1\/(-3) + (-69)\/(-18))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24196 divided by -263.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 36416, -5 in decreasing order.\nAnswer: 36416, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22101.\nAnswer: 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-47 + 12507\/264)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 12950070\nAnswer: -1\/925005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3 - 2\/(-3) - 0. Let n = -21.1 + 22. What is the biggest value in b, -0.4, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -387853, -387860, -387873, -387892, -387917, -387948, -387985?\n\"Answer: -3*m**2 + 2*m - 387852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**8\/1120 + r**7\/6300 - r**6\/900 - r**4\/4 - r. Let z(u) be the third derivative of w(u). Solve z(t) = 0 for t.\nAnswer: -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9536796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -0.62\nAnswer: -0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 198\/33 - (2 - 9). Sort 2, d, 4, 5 in descending order.\nAnswer: d, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2244 = -5*m + 2*s - 4*s, 2*m + 3*s - 913 = 0. Solve 79*c = m - 51 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 minus 178147?\nAnswer: -178202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.29 (b) -0.2 (c) 57\/41 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*y**2 + 125*y**3 - 252*y**2 - 1544*y**3 - 215*y**2 wrt y?\nAnswer: -8514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/9)\/(42\/(-18) + 3). Which is the second smallest value? (a) 2\/3 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1*(-3 + 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - -35. Suppose 11*f - 252 = 2*f. Calculate the remainder when s is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*z + z**2 + 363 - 363 to the form x + s*z + w*z**2 and give s.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (71 - 69)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 2. Let d be x(-3). Suppose -3*r + d = 2*h - 25, -4*r = -4*h - 48. What is the remainder when 27 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 2*u**2 + 2*u + 5. Let s be m(3). Let c(x) = 3*x**s + 11*x - 7*x - 6*x + 2*x. Let d(k) = k - 15. Give c(d(y)).\nAnswer: 3*y**2 - 90*y + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0605893771 - 42.3427660771. Let m = -62.282178 - p. Let a = m + 20. Round a to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 57*d - 60*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**8\/504 + c**7\/105 - c**6\/60 + c**5\/90 + 2*c**2 - 10. Determine k, given that f(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -663 divided by 221.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, 1 d, and 1 t when four letters picked without replacement from dnphhphdnpppdtpthp?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i + i)*(i + 3*i - 2*i) - i**2 + 3*i**2 + 0*i**2 + 1510 + 72*i**2 - 1510 + 0*i**2 + 2*i**2 + 0*i**2.\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -6.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0029172 times 0.159\nAnswer: 0.0004638348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1559*w - 3 + 1566*w + 1 + 5.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 43016?\nAnswer: -43014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 + (-9774)\/(-162))*27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 200 = 0. Suppose -r = -y - 3*y. Let t be y\/12 + (-4)\/6. What is the smallest value in t, 5, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/12, 1.5, -34.98, 1\/9 in increasing order.\nAnswer: -34.98, -0.4, -1\/12, 1\/9, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1914462638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-3)\/(-24))\/(12\/96))\/(1\/55201) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*v**4 + 2*v**3 - 3*v**2 + 4387*v + 5254339 with respect to v.\nAnswer: 312*v**3 + 6*v**2 - 6*v + 4387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -88, -68, -30, 32, 124?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*s - s - s) + 2*s + 3*s - 4*s + 0*s - 3*s + s - 635*s - 613*s + 453*s.\nAnswer: -792*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1157 (c) -0.05 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82952481 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(110)\/sqrt(2) + sqrt(7920) + -1*sqrt(7920) + sqrt(7920))\/(sqrt(50)\/(sqrt(120)\/sqrt(3))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 4*l**4 + l**4)*(0 - 282 + 35)*(-1 + 25 - 1).\nAnswer: -5681*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1302089*p**2 - 623748*p?\nAnswer: 2604178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1\/12)\/(10\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**6\/60 + b**5\/4 + 23*b**4\/24 + b**3 - 77*b. Solve l(m) = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 19*g + 4. Calculate the remainder when y(-14) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4450, 0.03, 355, 1, 0.4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 2*k**4 + 3644*k**3 - 3647*k**3 + 5*k**4 - 3 as i*k + d*k**2 + g*k**3 + m + z*k**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -26, -42, -62, -86?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:58 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -627148158 or -2?\nAnswer: -627148158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 13 + 14. Let z be ((-45)\/12)\/(11\/(-8) + c). Calculate the highest common factor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 159\/10, -38.3, 5, 0.3, -6\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-1995)\/25)*(-8)\/(-20)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002222 (base 3) in base 14?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 55, -d = 4*d - b - 220. Suppose 1 = 2*v - d. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 223, -50, -0.274 in decreasing order.\nAnswer: 223, -0.274, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 291, 354, 415, 474, 531, 586, 639?\n\"Answer: -r**2 + 66*r + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*i - 5 = -2*j, j - 3*i + 11 = 0. Suppose -207 = 10*q - 77. Put q, j, 2 in descending order.\nAnswer: 2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -b + 4*a + 147, -4*a = b - 228. Suppose 3*x - 6*d + 2*d = b, 5*x - 4*d - 408 = 0. What is the remainder when x is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 - 5 = 0. Let u be 1\/(2 + (-10)\/k). Sort -1, 3, u.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5130\nAnswer: -2\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 57*i + 307. Let r be t(51). Do r and -2\/1857 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x**5\/100 + 61*x**4\/10 - 384*x**3 + 2160*x**2 + 1467*x. Factor b(z).\nAnswer: -3*(z - 60)**2*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 707756 or 707755?\nAnswer: 707755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37005606 * 4\nAnswer: 148022424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -3*f, 4*c + 3*f - 32 = -2*f. Calculate the remainder when (0 + -3)*(-13)\/3 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 0\/(-2). Suppose -4*k + 3*k = 0. Suppose k = -4*w + w. Which is greater: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198996 = 98*w - 70*w. What are the prime factors of w?\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 16*p**2 - 16*p + 15. Let l be w(15). Suppose l*b + 4*b = 12. Sort 1, -2, b in ascending order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 0*w**4 + w**4 + (-2*w**4 - 3*w**4 + 3*w**4)*(-3 + 3 + 1) - 7*w**3 + 71*w - 73*w + w**4 - 5 - 40.\nAnswer: -3*w**4 - 7*w**3 - 2*w - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923654 is divided by 771.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 20292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53842965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/81)\/((-4)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*j - 0*j - 32, 5*n = 3*j + 16. Suppose n*m - 5 = -5*r, 2*m + 0*r + 4 = -5*r. Is (-428 + 6)\/((-6)\/m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)*15\/3. Let u = 9\/2 + i. Suppose -l + r + 1 = 0, 4 = -5*r - 6. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 4:46 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/11 and 187\/2160.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2502579 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83838 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*c**2 - 119?\nAnswer: -64*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - p + 69 = 0, p = -2*p + 15. Solve 2*x + w = 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2)*(4 - 4\/4). Suppose u*f = 3*s - 1335, -f + 4*f - 12 = 0. What are the prime factors of s?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.1. Let s = -1\/8 + 0. Sort l, s, -5\/3 in decreasing order.\nAnswer: s, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 657 + -662 + (0 - -1) + (38 - 7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -13, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 4*i - 82. Let q = -25 + 37. What is the remainder when y(9) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t**2 + t. Suppose -19*g = 22 - 3. Suppose 9 = -4*d - 7. Let l(r) = 3*r**3 - 8*r**2 - 7*r - 4. Let v(y) = d*z(y) + g*l(y). What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 190.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -4072, -5\/4, 1\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -5)\/(-2*(-12)\/176). Suppose -8*m + h = 14. Solve -2*w = 5*n + m, -n - 5 = -6*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4131, -0.3, 0, 0.4.\nAnswer: -0.3, 0, 0.4, 4131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33444655, 66889311, 100333967?\nAnswer: 133778623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/242 + 12\/66.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -32 + ((-7)\/(-42) - (-26)\/(-12)). Let x = -27 - p. Let m be (-4)\/10*(-5 + 0). Solve m*k = x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 68. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 160\/(-35) - ((-60)\/(-28))\/5. Let y(f) = -8 + 9 + 2 - 4. Let i(v) = -43*v + 5. Let x(k) = q*y(k) - i(k). Let c(u) = -u. Give c(x(h)).\nAnswer: -43*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/((-352)\/(-84) - 4). Let n(h) = h**2 - 11*h + 24. What is n(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3499162 and -0.05.\nAnswer: 3499161.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 25. Let c be i(17). Suppose c = -4*m, 2*f - 6*m = -m + 54. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1491 and -53.6.\nAnswer: 1437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 395 = a + 383 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -4)*(24 + -25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 34*p + 63. Let g be z(32). Let x be (13*(3 + -6))\/g. Calculate the highest common factor of 156 and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240))\/(sqrt(1452)*2 + sqrt(12)).\nAnswer: 12*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2325, -9058, -20279, -35988, -56185, -80870, -110043?\nAnswer: -143704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3001004310 + -10?\nAnswer: 3001004300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrssrosrzdsyrrrs. What is prob of sequence zdyd?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 70, 135, 234, 379, 582, 855?\n\"Answer: 2*s**3 - s**2 + 32*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = -3*z + 81, 4*z - 1589*r = -1584*r - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273666 + -89166. What is v rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.01 + 0.01. Let q = -14 + 14. Which is the third biggest value? (a) 8 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/9, 3, 2\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Put -5, l, 5 in descending order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/30)\/(11\/22)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:56 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1668108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3411 - 200?\nAnswer: -4111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*k - 7 = 1, 0 = 2*h - 3*k + 20. Suppose -5*f = -f - 36. Suppose -2*p - f = -5. Sort p, 1, h.\nAnswer: h, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 956381268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 363059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/6 - 5*f**4\/6 + 53*f**3\/6 + 13*f**2\/6 - 80*f\/3 + 50\/3 = 0. Calculate f.\nAnswer: -10, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8855 and 35.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 445?\nAnswer: -3\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*g = -52, -3*m - 7*g - 305 = -266 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let i(h) = h**2 - 20*h + 40. Let l be i(18). Suppose -l*q = -3*c + 6, -2*q = q. Let v be -10 + c + 2\/1. Calculate u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.345 (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*23\/(368\/(-672))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45766789?\nAnswer: 107, 427727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18152219 is divided by 1650198.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276177*i - 276194*i = 170 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 66 + 242*r - 19*r - 22*r + 7. Is n(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -5*v, 5*c = c - 5*v + 22. Solve -7*l = -c*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:00 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 16*j - 12. List the prime factors of o(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 2. Let n = 7 - 10. Let q be (n - 16\/(-4))*-5. Give l(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7044449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.51 + -85. Let b = t + 2.49. Suppose -3*y - 8 = 5*g, -2 - 2 = 3*g + y. Sort 0.1, g, b in descending order.\nAnswer: b, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361369.\nAnswer: 17, 29, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.009 (b) -0.3 (c) 422 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5*x**3\/3 - 3*x**2\/2 - 4*x. What is the units digit of p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1043 - 113 + 153)*(-f + 2*f - 3*f) in the form r*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -15*q - 35. Let x(k) = 24*k + 33. Let m(f) = 3*o(f) + 2*x(f). Give m(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -12612?\nAnswer: -12571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5 - p - 3*p - p**2 + 3*p**2 + p**3 + 2*p**2. Let n be x(-5). Suppose 0*w + 3*w - 36 = n. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-63)\/(-28))*2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/5 - 57144*c**3\/5 + 171402*c**2\/5 + 342844*c\/5 - 457104\/5 = 0.\nAnswer: -2, 1, 4, 28569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*h - 13 = 0, 2*j + 65*h - 69*h - 14 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*v - 10*v - 3236719 = 38*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -13*q + 359, -q - 610 = 3*w - 631 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/5 - (-7)\/(-35). Let a = 1 - -1. Let c(l) = -18*l**a + 6*l**2 + 2 - 3. Give c(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222213121 (base 4) in base 7?\nAnswer: 11111464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 180 = -2*j. Let t = -12 + j. List the prime factors of (t\/27)\/((-4)\/(-150)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40128371.3 or -1\/4?\nAnswer: -40128371.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*y - 15306 = -17370 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -97, -96, -95, -94, -93?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -10. Suppose 3*p = -g*o - 16, -4*p + 4*o + 29 = -p. Suppose -w = -j - 770005, -15 = -0*j + p*j. Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.36893 times 4\nAnswer: -5.47572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6*b - 4*b - 26 = 0, 3*q = 5*b + 52. Let s(j) = j**2 - 3*j - 16. What is the units digit of s(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16006 - 15993. Let d(g) = g**2 - 13*g - 4. Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -149, -491, -1157, -2255, -3893, -6179?\n\"Answer: -18*t**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28a + -6b?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23803 divided by 9\nAnswer: 23803\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12811 and 4?\nAnswer: 51244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -9722\/3 (c) -5\/9 (d) 2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfoofoopcookhkcokcoc. Give prob of picking 1 f and 1 c.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) 1\/94 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3*0 - 3. Calculate the smallest common multiple of 9 and (-32)\/w + (-6)\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.0258 rounded to 1 decimal place?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7765409579 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (108\/10)\/(19\/855). What is the highest common divisor of n and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2376)\/(-45))\/(-12) + (-2)\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - g = -229, 5*u - 255 = 11*g - 6*g. Let d = 13 - 6. Calculate the highest common divisor of d and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(((-24)\/160)\/((-12)\/(-15))). Solve 21*s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 - 224 - (-94 + 15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 + -30?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 at most as big as 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 8. Suppose u + 2*g = 3, 3 = -2*u + 2*g + 9. Suppose 0 = -u*m + 9, 3*m + 1 = -c + 10. Solve 2*o = 3*t - c*t + 18, -b*o = -2*t - 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 43*i**2 - 187*i + 43. Let s be w(-47). What is the fourth smallest value in 11, -1\/3, s, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-3)\/1) - -1. Let m(x) = 5*x**2 + 2*x - 3. Let r be m(g). Suppose 14*f = r*f + 940. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 479736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3745449 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/15 and (161\/40)\/7 + (-8)\/32.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15180614.\nAnswer: 2, 971, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53800 (base 10) to base 6.\nAnswer: 1053024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 95. Let z = 0 + -2. Let a be v - ((z - -2) + -2). Solve w - 2*o + 12 = -5*o, -a*w + 1 = o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70967 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**7\/147 + 3*i**6\/10 + i**5 - 13*i**4\/28 - 2*i - 1127. Solve d(r) = 0 for r.\nAnswer: -13, -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1 - h**2 - 4 - 9 - 11*h. Let d be m(-10). Let y = 0.02 - -4.98. Which is the closest to 0.2? (a) 2\/9 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 8:43 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 954?\nAnswer: 2\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*n + 2)*(n**4 - 2*n + 2*n) + 7*n**5 - 2*n**5 - 4*n**5 + 3*n**5 - 2*n**5 - 3*n**5.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/2, -5, 155 in increasing order.\nAnswer: -5, 1\/5, 1\/2, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*a - 5*d - 15, d = -4*a + 15. Suppose -25*y + 4510 = -20*y - a*q, 2*y - 1804 = -5*q. List the prime factors of y.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 70, 160, 286, 448, 646?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r - 136 = -25*r + 1278 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-3)\/(-69)) + 5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:37 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2891798 is divided by 38048.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/369 and -56\/333.\nAnswer: 13653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -21*t - 13. Let u be y(-2). Is -3*u\/(-1 - 15\/(-24)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 593\/24 + -99\/4. Calculate the common denominator of -25\/42 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z - 3. Let j(b) = -41*b + 10. Let x(g) = -17*f(g) - 6*j(g). Suppose -8*u + 42 = -5*u. What is the remainder when x(6) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1179 - 1164?\nAnswer: -1163.8821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f - 28 + 5*f**2 + 28 - 4*f. Calculate q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 8*g - 4. Let u = -23 + 16. Let m be h(u). Let v = m + 10. Is v <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - 2)*(-2)\/(-16). Suppose -1029 = 38*k + 1023. Let v = k + 52. Is t <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 2. Let v(u) = -2*u - 1. Let g be v(1). What is the smallest value in g, -2\/5, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 5, s: 7}. What is prob of sequence mdm?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 149 = -436. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 5*k - 73, 0 = 3*x + 5*k - 8*k + 33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3490835 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Suppose -4 = -u, -2*u + 247 = 3*z - u. Let d = z - 78. Which is the nearest to 1\/2? (a) d (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219b4 (base 14) in base 11?\nAnswer: 5625a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*l - 132 = 0, g - 3*l = -3*g + 84. Let x be 15\/(47573\/(-214200) - g\/(-108)). What is x rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 y when four letters picked without replacement from qyyqyq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 1\/7, -4\/5, 0.3.\nAnswer: -7, -4\/5, 0, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 4*l**2 - 2*l + 2. Let n be (2\/6)\/((-3)\/(-54)). Let z(h) = 2*h**3 + 5*h**2 - 3*h + 3. Let p(a) = n*c(a) - 4*z(a). Suppose p(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.347 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:44 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68.32822 or -1?\nAnswer: -68.32822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r - 365. Let n be u(37). Let t be (1 + -5)*(-1)\/2. Which is the fourth biggest value? (a) -2\/13 (b) -1 (c) n (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.1 - -24. Which is the nearest to -1\/4? (a) -1 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h**2 - 628*h - 781. Determine y(71).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2 - 509 - 76*z + 148*z - 686 - 101 = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-9262915.\nAnswer: 129680810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 45*i**2 + 182*i + 3. Calculate n(8).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 = -8*d, -10*u + 6 = -13*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/11, -1.5, 15, -1\/8 in decreasing order.\nAnswer: 15, 0.4, -1\/8, -2\/11, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27388 (base 9) in base 8?\nAnswer: 44164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 55327 = -18*j + 58409. List the prime factors of j.\nAnswer: 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 + 1399 - 9*m + 12*m - 717 - 701. Calculate q(3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 + 146. Let l be (-11)\/r*-2 + (-7)\/(-35). Put 4, 6, 1, l in ascending order.\nAnswer: l, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 45. Let t be b(0). Suppose 0 = 3*y - 5*p - 82, -5*y + p + 55 + t = 0. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + 2*d**2 + (-3*d + 2*d + 7*d)*(3*d + d - 2*d) + 4*d + 4*d**2 - 2*d**2 - 3*d.\nAnswer: 16*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = 2. Let f(t) = -9*t + 6. Let o(k) = 37*k - 24. Let z(s) = b*o(s) - 9*f(s). Let l(i) = 8*i - 7. Calculate -5*l(h) + 6*z(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8 + (0 - 1170\/(-96)) and 73\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 + 434. Calculate the remainder when (4 - 7) + 128 + 2\/2 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3968.8 + 3968. Let h be (-2)\/(-11) - 0\/(-2). What is the biggest value in h, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506379924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145783 is divided by 18222.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 252 = -5*d, -3*r = -r + d + 264. Let h = 246 + r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26133, 52385, 78647, 104925, 131225?\n\"Answer: c**3 - c**2 + 26248*c - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 73*n + 526. Let i be y(-4). Calculate the greatest common factor of 1378 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - 0 - (27 + -32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244\/1281*(-21)\/(-6) - 229478\/(-6) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732935.\nAnswer: 3, 5, 23, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4 - 28. Let i = m + -5. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6361319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1092\/5 + 219. Let g be ((0 - 4)\/(-4))\/(-1). Which is the nearest to q? (a) 4\/7 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955164.3 weeks to nanoseconds.\nAnswer: 577683368640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (468\/(-24) - -9)\/((-2)\/8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33524 is divided by 8348?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13710819 and 1389.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -18. Let w(t) = -3*t + c*t - 3 + 3*t**2 - 2*t + 2. What are the prime factors of w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/52 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m = -39*m + 75. Let w be 160\/(-12)*6\/2. Let z = -27 - w. Calculate the remainder when m is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197 and 0.33?\nAnswer: 65.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 143*a**2 - a + 3 - a + 2*a. Suppose -40*l - 50 = -10. Let y be k(l). What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 166189495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(72) + sqrt(72) + 1 + sqrt(72) + 0 + sqrt(72) - sqrt(72))**2.\nAnswer: 36*sqrt(2) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-10)*8\/3. Let n = g + 45. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4645 + 9739. What are the prime factors of j?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 112. Suppose -4*w + 2*w - 4*v + 2102 = 0, 0 = -3*v - u. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:33 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20437, 40874, 61311, 81748, 102185, 122622?\n\"Answer: 20437*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 28*g = 10. Suppose 5*o + 16 = o, -g*h = -2*o - 33. Let f(k) = 2*k - 3. Determine f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u**2 - 2*u - 4. Let q(t) = -37*t**2 - 5*t - 9. Let l(z) = 3*q(z) - 7*v(z). Let i be l(1). Let b = 46 - i. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h = -27300 + 27986 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1101*k**2 + 323*k**2 + 3183*k**5 + 385*k**2 + 491*k**2 wrt k.\nAnswer: 190980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6446 is divided by 159.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -29, -2\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4178024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31465924 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554200 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 71*t**2 - 10582*t + 489. Calculate o(149).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001212 (base 3) in base 6?\nAnswer: 14205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 20 = 6*l. Suppose -r = 2, 2*h - 6 = -l*r + 20. Suppose 2 = 3*n - 7. Solve -5*m - 5*v + v - h = 0, n*m - 5*v - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -98b5 + -55?\nAnswer: -994a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 3*j. Let m(h) = -28*h**3 - 100*h**2 - 100*h - 12. Let p(y) = -m(y) - 4*n(y). Factor p(t).\nAnswer: 4*(t + 1)*(t + 3)*(6*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((r*r*r**(3\/2))\/r)\/r*r*(r*r*r*((r*r**(-2\/25)*r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(271\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -25.67?\nAnswer: -564.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 101. What is the second derivative of -634*p - g*p**2 - p**2 + 625*p wrt p?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4242, 4244, 4256, 4284, 4334, 4412, 4524, 4676?\nAnswer: 4874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:44 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = 0, 3*i = -a + 3*a + 10. Solve -5*v + 15 + 5 = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 plus 251882.214?\nAnswer: 251799.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 - q**2)*(-7*q**3 - 20*q**3 + 11*q**3 + (-q + 3*q - q)*(-4*q**2 + q**2 + 5*q**2) - 4*q**2 + 2*q**3 + 4*q**2).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8190, -16138, -24086, -32034?\n\"Answer: -7948*u - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14705 minus -5?\nAnswer: -14700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 122002000022 (base 3) in base 13?\nAnswer: b9c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -74 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5.97. Let y = -84.16 - -92.16. Is y != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 13*q + 2*c - 364 = 0, -3*c - 854 = -5*q. What is the greatest common divisor of q and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178 and 10.3484?\nAnswer: -1842.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 2. Let r(l) = 6*l + 2. Suppose 0 = 5*a - 2*u - 11, -6*a - 4*u + 6 + 20 = 0. What is a*r(z) - 4*o(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*3 + -8 + 4. Let m = -45.35 - -45.38. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, -430, -1070, -1710, -2350, -2990?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 6*l + 1. Let b be d(7). Let q be 190\/b + (-5)\/(-20). Suppose -2*c = 5*n - 25, 3*n - 3 - q = -2*c. Solve 9*a - 4*a = -c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2820\/354 - (-10 + 8)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*n**2 + 4*n - 453 with respect to n.\nAnswer: 96*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 601*c**6 - 10*c**5 - c**4 - 4*c**2 + 51876 wrt c?\nAnswer: 72120*c**3 - 600*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5048 take away 4?\nAnswer: -10.5048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/6153, -4\/5, 29, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 27 + -18 - -22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1377) + 1*sqrt(1377) - sqrt(1377)) + 1 + 2)**2*6.\nAnswer: 8262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107.2 + -107.199997907. What is u rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 99 = -136. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (1*sqrt(1300))**2 + -4.\nAnswer: 10*sqrt(13) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36268419.\nAnswer: 3, 11, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930642052 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -60*(23\/(-2) + 6)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-50))\/((-12)\/(-5)). Sort -0.4, p, -0.525 in descending order.\nAnswer: p, -0.4, -0.525","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - z - 3444, -4*m - z - 8613 = m. Is m not equal to -1722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/33, 6\/7, 0.51, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g\/(g*g**5)*g)\/g)\/g)\/(g**(-2\/7)\/g))\/((g*(g*g**(-2\/21)\/g*g)\/g)\/g)**20 assuming g is positive.\nAnswer: g**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 41*x**7\/35 + 81*x**3\/2 + x**2 - 10. Differentiate o(a) wrt a.\nAnswer: 984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.5, 0 in increasing order.\nAnswer: -0.5, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 - 263. Suppose -3*j + v*y = -158, -j - y - 2*y = -34. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/9 - 54*m - 324 = 0 for m.\nAnswer: -9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2982.674313 to the nearest 10.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {z: 3, l: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**4 - 70524*r**3 + 28208*r**2.\nAnswer: 2*r**2*(r - 7052)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -128. What is the common denominator of ((-138)\/i)\/(1\/(-4)) and ((-3)\/(-1) - 1) + (-116)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 207*o**3 - 3*o**2 - 211*o**3 + 5*o**4 + 17 - o in the form f*o + u*o**4 + p*o**3 + d*o**2 + z and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 8*z - 2. Calculate the lowest common multiple of 6 and q(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 1 + 1)*(0 - 1 + 1274*j - 992*j).\nAnswer: 282*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6)*(1 - 1 - 2*b**3 - 3*b**3 + b**3 + 3*b**3 + (2*b**2 + 0*b**2 - 4*b**2)*(-b + 1 - 1)).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010 - -1101000011101?\nAnswer: 1101010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*b + 5 + 35 = 0, 0 = 3*h - 5*b - 8. Let c be (1 - 1)*(-2)\/h. Suppose c = 3*d - 2*i + 5*i - 57, 5*i = 3*d - 57. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 12861*o - 12858*o + 15, -3*t - 4*o - 6 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 4*k - 315. Suppose n - k + 2 = 0. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 392528 = -110095. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1 + 2*v**2 + 4 - 2 + 2*v. Let j be a(-1). Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8*v + 3*v + 25 = 0, 3*u - 15 = 5*v. Let i be (-28)\/(-8) - (3 - (-7)\/(-2)). Solve -i*y = -9*y + u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.002610833 - 3.697387727. Let r = 3.7 + w. What is r rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223001 + 0?\nAnswer: -223001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 6 (c) 1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -2396, -5797, -10558, -16679, -24160, -33001?\nAnswer: -43202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9665*r - 753. Determine v(0).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n + 535*n = -31*n - 46 - 2306 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/6)\/(-7*(-36)\/378). Factor -2\/11*o**x - 4\/11*o + 4\/11*o**3 + 2\/11 + 0*o**2.\nAnswer: -2*(o - 1)**3*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(272)*1 + (3 + sqrt(272) + sqrt(272)*2 + sqrt(272))**2 - -1*1*2*sqrt(2448).\nAnswer: 124*sqrt(17) + 4359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1b0138 (base 12) to base 15\nAnswer: -9657b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -75\/2. Let a = -35431.7 - -35432. What is the smallest value in -4, 35, a, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 10 - 4 + 3 + 2 + (0 - 4 + 2)*(-2 - 2 + 2) - 2 + 2 - 2)*(-8*f - f + 0*f) in the form b*f + p and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468322.2 micrometers to meters.\nAnswer: 0.4683222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + (-183)\/(-9). Let q be 3\/(-1)*(-14)\/z. Suppose -6 = -q*k + 10. Solve 0 = -4*d + l - k, 5*l + 10 = -5*d + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oao?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + -6. Let n = k + 36. Suppose 83 = 5*v + n. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 11 (c) 9 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9 = 9. Solve l - 5 = 3*n + s, 8 = -5*n - 2*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(2\/1))\/4. Let y = -5\/203 + 9\/29. Which is the third biggest value? (a) j (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 19 = -2*f, 21*f + l = 17*f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40654866 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 4. Let d be z(4). Sort -4, d, 2 in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63345110 to the nearest integer?\nAnswer: 7959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 65, 104, 141, 176, 209?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121638 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56738.32 minus -4?\nAnswer: 56742.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -28, -27, -26, -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/322*287\/(-41).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 1. Let b be -1 + 2 + 0 - 3. Let w be h(b). Solve -w*j = -4*l + 15, -5 = -j - 4*l + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15746*m + 14425*m - 11889 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 - 155 - 1791*h**2 + 1805*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 - 4.56. What is the closest to 7 in 3\/4, v, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*o + 28, -o - 2*k + 32 = 2*o. Let i(u) = 3*u + 9. Let x(p) = -5*p - 13. Let r(a) = o*i(a) + 5*x(a). Let f be r(5). Solve -f*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1484.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*u**2 + 202*u**2 - 102*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -571 (base 9) to base 16\nAnswer: -1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(9)\/sqrt(3)) + -5.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -225 (c) -1 (d) 1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 + 1042510*o**3 - 135849738674*o**2 - 950988829014*o - 1358570363220 = 0. Calculate o.\nAnswer: -5, -2, 260631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1110010110110100010 (base 2) to base 3\nAnswer: 212220022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 0.67?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 2, -0.25, -2\/7, -18066 in decreasing order.\nAnswer: 2, 2\/3, -0.25, -2\/7, -18066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from wwlwvfu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -127. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1284\/13 != -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 72, 165, 304, 495?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*i**2*w**3 + 11*i**2*w + 23*i**2 - i*w - 35*w**3 + 5*w**2 + 153*w - 2 wrt i.\nAnswer: 86*i*w**3 + 22*i*w + 46*i - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 53 = 12*q. Let z = q + 58. Solve -5 = -10*b + z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + 142. Let d(c) = 3*c - 4. Let o(h) = 4*h - 3. Let m = -138 - -143. Determine m*d(i) + y*o(i).\nAnswer: -9*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 14*g - 49. Determine r(-9).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1, 2\/11, 9, -63, -1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {h: 9, m: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 7931 + 1487 = 0. Let i = 551 - j. Calculate the remainder when i is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31124*q**2 - 1 + 62253*q**2 + 4*q - q**3 - 31128*q**2 to s*q**2 + p*q**3 + m*q + b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 + -124. Suppose -2*o + f = -3*g, 2*o + 5 = -g - 2. What is the units digit of 73 + (o - -2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2371*f*s**4 - 26339*f*s**3 - 45104*f*s**2 - 170*f*s - f + s**4 + s**2 - 2 wrt s.\nAnswer: -56904*f*s - 158034*f + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*v + 18. Let n(y) = -y**2 + 7*y - 10. Let z be n(3). Solve v - 7 = z*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 54*l + 241. Let z(j) = 146*j + 722. Determine -8*h(k) + 3*z(k).\nAnswer: 6*k + 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/264 and 79\/231.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412 a factor of 71425916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a168 - -a8?\nAnswer: -1a0c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/9673 - -9708\/48365. Let x = -6 - -12. Sort g, 0, -1, x in increasing order.\nAnswer: -1, 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 720?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*h - 1. Let w(l) = -2*l**3 + 31*l**2 - 12*l - 41. Let c be w(15). Solve -o = o - j - h, -13 = -c*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-7))\/(13*(-42)\/(-637))*-26. Let i = -17 + 55\/3. Put -3, 2, i, n in descending order.\nAnswer: n, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -3) + (7 - 6) - -1. Factor 8*v**2 - v**3 + g*v**3 - 1 + 4*v + 1.\nAnswer: 4*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20849214?\nAnswer: 2, 3, 1151, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = 3*y, -w + 7*y - 3 = 4*y. Let o = -18 + 21. Let q = o - w. Solve q*x - 20 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19667906?\nAnswer: 2, 163, 60331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/11)*z**(8\/9)*z*z)\/(z**(-4\/13)\/z**(-7\/2)) assuming z is positive.\nAnswer: z**(-1717\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 84*w**2 - 425*w - 447. Calculate a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 8:17 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 19*v + 45 + 7.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2700\/(-96) + (20 - -9).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/92787 and -139\/230790?\nAnswer: 45465630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.7 - 75. Let c = l + 21.3. Which is greater: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8271 + 17766. What is the remainder when y is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - m. Let d be l(-1). Suppose d = -4*v - v. Let c = 5.7 - 6. What is the nearest to v in -0.5, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.6 * 0.13.\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -154, -139, -108, -55, 26, 141?\n\"Answer: x**3 - x**2 + x - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 40. Let q = 20 + f. Suppose 0 = q*v - 41 - 49. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 8*c - 4*c + 2*c - 5*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**8\/20160 - s**7\/7560 + s**4\/4 + 3*s. Let r(b) be the third derivative of q(b). Suppose r(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**29\/(s**2\/(s\/(s\/(((s**(-7)*s)\/s)\/s)))))\/((s\/(s\/(s*(((s*(s*(s**(2\/7)*s)\/s)\/s)\/s)\/s)\/s)))\/(s*(s*(s*s**8)\/s*s)\/s))**16 assuming s is positive.\nAnswer: s**(724\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1\/6, -2\/9, 0.2, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.2, -0.07, -1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 1611082?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 102*r**2 - 633. Let f(h) = 2*h**2. Calculate f(a(x)).\nAnswer: 83232*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 36*w**3 + 22*w**2. Suppose -31 = -4*j - 207. Let c(n) = 5*n**3 + 3*n**2. Calculate j*c(h) + 6*i(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. What is the third derivative of 10*t**3 - t**g - 8*t**3 - 2*t**2 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58 + 3\/(-6)*-4. Let j = 826 + o. Calculate the remainder when 4\/(-18) - j\/(-18) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4747311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*z - 185*z**2 + 20 + 57*z**3 - 6*z**3 - 2*z**3 + 26*z**3.\nAnswer: 5*(z - 2)*(3*z - 2)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335.883 < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k + 9. Let b(y) = -y. Determine d(b(j)).\nAnswer: -14*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 2*x - 9. Let p be a(-6). Suppose -3*v = 12 - p, -n - 146 = 3*v. List the prime factors of (n + 3)\/(-2 - 0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305553 (base 9) to base 13.\nAnswer: 6465c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/3880 and 93\/15520.\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 281566.6 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-35)\/(-21)*-3 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a902344 + -3?\nAnswer: a902341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.8367957 to 2 decimal places.\nAnswer: 7.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**3 + 24*g**3 + 17*g**3 + 67*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173 + -64?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.9 - -19. Which is the second biggest value? (a) 0.3 (b) -3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454.9999403 + -455. What is g rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from bqffqzzzzqfqqznbqnl.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 814*d*l*t**3 - 14779*d*l + 4*d*t**4 wrt t.\nAnswer: 2442*d*l*t**2 + 16*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let w(s) = -36*s + 27. Let f be (54\/15)\/(2\/15). Let o(n) = 5*n - 4. Let z(t) = f*o(t) + 4*w(t). Calculate m(z(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.41 (b) -1\/82 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*z + 2*m - 1, -4*m = -4*z. Let s be (-6)\/(-9)*(27\/24)\/z. What is the closest to 6 in 7, -3, s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 2*q. Let z be 2\/(2\/(-3)) - 15. Let x(k) = -4*k**3 - 9*k. Give z*v(g) - 4*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 569708*l**3 + 5696930*l**2 - 14242200*l.\nAnswer: 2*l*(l - 284844)*(l - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 639540 and 5852?\nAnswer: 4476780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 6*g - 3. Let z(b) = 9*b**2 - 13*b - 6. Determine -7*r(k) + 3*z(k).\nAnswer: -k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034817254 to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9712192 microseconds in weeks?\nAnswer: 0.000000000024754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let i(c) be the second derivative of c**4\/8 - c**3\/2 + 39*c**2\/2 + 12*c. Let z(u) be the first derivative of i(u). Give o(z(b)).\nAnswer: 6*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 34) + 32 - 20 - (3 - (18 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15828 and 39522516?\nAnswer: 39522516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubdd when four letters picked without replacement from {b: 1, d: 2, v: 2, u: 1, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2415 + -2414.96862. What is l rounded to three decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8 - ((0 - (1 + -5)) + 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-6) + 2)*(-303)\/(-2).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995891 is divided by 124718?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 318979435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {p: 6, w: 13}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -1?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7 - 1) + 125 + -126.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1828*a**2 - 2*a - 2. Let j(t) = -4198911*t**2 + 4595*t + 4595. What is 2*j(q) + 4595*z(q)?\nAnswer: 1838*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98147.5 millennia in decades?\nAnswer: 9814750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 28. Calculate l(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 4*u - 10*u**3 - 8*u to the form y*u**2 + t*u**3 + z + k*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*p = 1564, 1176 = 3*t - 26*p + 23*p. List the prime factors of t.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-21)*-1)\/((-27918)\/(-36190)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -c6?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 52805*f**2 - 2*f**3 + 3 + 9*f**3 + 2*f - 52808*f**2 in the form h*f**2 + l*f + v*f**3 + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2916?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5*z + 31, i - 30*z + 28*z = -10 + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2869 + 12170. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/32*(-36 + 28)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10832, -43416, -97854, -174248, -272700, -393312, -536186, -701424?\n\"Answer: -17*z**3 - 10825*z**2 + 10*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.136 + 0.236. What is the nearest to -0.1 in 26, 1, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 107, 145, 209, 305, 439, 617, 845?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-4)\/(-10)). Let i(m) = 15*m + 1. Let j be i(d). Suppose -3*x - 4*c + 46 = 0, 2*x + 2*c - 3*c - j = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*u**3)*(19*u + 12*u - 51*u)*(-3 + 0 + 1)*(0 - 1 - 4).\nAnswer: -400*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 444 = -2*c. Let t = 222 - c. Solve t = -5*p + 31 - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 125, 187, 251, 317?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46478*p + 46475*p + 40 = -7*r, -r = -5*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2619744 by -6.\nAnswer: 436624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:55 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 77, 147\/5.\nAnswer: -82, 147\/5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*-3*28\/(-24). Let z = 62\/3 + j. Which is the closest to -0.1? (a) z (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {w: 2, m: 2, x: 4, e: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/24)\/(-16)*-6*(-18)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311003202 + -120333?\nAnswer: -311130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 7*m + 8. Let o be y(6). Suppose -s - 3 = -3*r, -4*r + s = -s - o. Solve -r*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydiyoypdyyiqpdyyy. What is prob of picking 1 q and 1 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315624.\nAnswer: 2, 3, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + o - 13 = 5, 4*p - 5*o + 27 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1077 + 1074. Sort -4, u, -2\/13, -5.\nAnswer: -5, -4, u, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/24 and 55\/4848.\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -6*r. Suppose -2*i + 5*y = i - 6, -2*i = y - r. Solve -4*s + i = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = 4. Let r be (m - -6)*5 - -1. Suppose r = 4*c - 0*c. Calculate the least common multiple of 10 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cddd when four letters picked without replacement from {c: 12, d: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 23 = 7*m, -m - 2103*g + 19 = -2106*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {m: 5, z: 3, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 times -0.4?\nAnswer: -138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -455750*((-83)\/(-4) - (-6)\/(-8)*1). What is a rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-2)*v)*v)**6*v**(4\/7)\/v*v**(5\/3) assuming v is positive.\nAnswer: v**(530\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4806 and -76\/9?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017202 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(3)*2))\/(sqrt(108) - -1*sqrt(108)) + -4*-1*sqrt(171)*1.\nAnswer: 289*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/120)\/((-6)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/19)*p\/p**(-13)*p*p\/((p**15\/p*p)\/p)*p*p*p**(-8) assuming p is positive.\nAnswer: p**(-78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 7 = 3*i, 125*i + 18 = 123*i - 4*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2109371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f - 5. Let u(b) = 45*b - 2. What is u(p(v))?\nAnswer: 450*v - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 294228\/264 + 10\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -19*v + 535. What are the prime factors of v?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:20 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 1, x: 2}. Give prob of sequence xxye.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24 + 69*w**5 + 443*w**2 - 50*w**5 - 195*w**5 - 441*w**2 - 506*w**5 + 3*w wrt w?\nAnswer: -40920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-1235)*-6)\/((-4)\/(-10)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 681275759 to the nearest one hundred thousand.\nAnswer: 681300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -0.652?\nAnswer: -15.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -30. Suppose 82 = -c*r + 664. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 0, 33, 90, 177, 300?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/4 + 5*o**3\/3 + 3*o**2\/2 - 2*o - 12. Suppose 0 = 3*x + x - 12. Let s be -2*(18\/4)\/x. What is t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-14 + 14 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 2, p: 8, s: 1, f: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = k + 75. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 5*i**2 - 7*i + 4. Let y be t(6). Let c be (3\/2)\/(y\/(-60)). Suppose 2*w = c - 11. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - 9*v + 11. Let j(q) = -1 + q - 3*q + 4*q - q. Let g(m) = 6*j(m) + o(m). Suppose -f = 3*f + 16. Determine g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8656, 2, -72 in decreasing order.\nAnswer: 2, -72, -8656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023221 - 203?\nAnswer: 3023012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b + 0*b**3 + 0*b**5 + 0*b**4 - b**2 + 0 - 1\/30*b**6. What is the derivative of v(m) wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -4*t, -2*m + 3 = -3*t - 14. Let v(o) = o**2 + 31*o + 134. Let k be v(-26). Suppose -345 = -m*c + k*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 - 3*y**5\/20 - 11*y**4\/24 - 2*y**3 - y**2. Let h be (-4)\/((-7)\/2 + 4). What are the prime factors of g(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -922, -2881, -6696, -12985, -22366, -35457, -52876?\nAnswer: -75241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1031*f*p**3 - 2*f*p**2 + 395*p**3 wrt f?\nAnswer: 1031*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Let j be t(-7). Let d be (j\/3)\/(8\/60). Sort -4, 2, d.\nAnswer: -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 14. Let v be n(6). Suppose v = k - 5*j, 2*k + 3*j - 12 = -k. Solve -3*t + 0*t = -2*p + 9, k = 2*p - 2*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 9*o**2 - 26*o + 17. Let c be p(11). Which is smaller: -22 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15808?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2\/2 - (0 + 168 + -159)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = h - 57, -30*h = -29*h + 9*a - 36. Calculate the highest common divisor of h and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94838809.\nAnswer: 13, 47, 155219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/35)\/(1\/(-5) - 0). Suppose -2*m - 277 = -2*j + m, 2*j + s*m = 292. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/6 - 3*h. Let i(w) = -w**2 - 6*w - 5. Let c be i(-4). Let n be b(c). Solve 8 + 4 = -n*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812519835 to the power of 1\/3, to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. Let x = 4 + -2. Suppose b = x*j - 6. Put j, -3, -1 in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 + 15*c - 69. Let f be s(7). What is the highest common factor of 300 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006161 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - (sqrt(50) + -1 - sqrt(2) - sqrt(2)))**2 + (-2 + sqrt(24)\/sqrt(192))**2.\nAnswer: -5*sqrt(2) + 145\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.6. Let y = -9.641 + 9.8. Let w = 0.241 + y. What is the nearest to -1 in w, n, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -457\/168, 2\/3, 160\/7 in descending order.\nAnswer: 160\/7, 2\/3, -457\/168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 - -256. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-384)\/288).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -623, -927, -1231, -1535?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:51 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 0, 6 in increasing order.\nAnswer: -7, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*i - 29 = -2*i, -3*h + 5*i - 13 = 0. Solve h*k = 8 + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -14, 5, 15, -20 in descending order.\nAnswer: 15, 5, 4, 3, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/77*-8 - 2\/(-2).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-375 - 25 - 482)*(-u - 1 + 1)*(-1 + 1 + 2*u**4).\nAnswer: 1764*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007966672 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1570)\/520 - -3)\/((-19)\/(-76))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049397970.\nAnswer: 2, 5, 311, 337427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/96 and 133\/2337240?\nAnswer: 9348960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*p**4 - 4*b**2*p**3 - b**2*p**2*w - 4*b**2*w + b*w - 3*p**3*w - 2*p wrt p?\nAnswer: -48*b**2*p - 24*b**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2673*b*k*s + 1871*b*s + b - 14*k*s wrt k?\nAnswer: 2673*b*s - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 16*r - 2. Determine t(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230 - -232. Is 12 a factor of (-8)\/v*79\/(-4)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1 - (-4)\/(-4)). Suppose 0 = 5*r + 2*t - t - 50, 0 = 4*t. Let w be (-1)\/(r*(-2)\/2). Is y >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 36 = 15*w - 11*w, 4*u = -5*w + 27 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000834595 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -203*y. Let z(g) = 3*g**2. Give z(d(p)).\nAnswer: 123627*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = u + 12, 2*g = -g - 5*u - 12. Let n = g + 4. Solve q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 4\/3, -3, -3\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -27. Is ((-8166)\/18)\/(c\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*r = 42414. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -2, 4\/9, -175?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19103925.\nAnswer: 3, 5, 103, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*22\/(-8)*-3. Let m = -23 - f. Let q be 48\/m + 4\/20. Calculate the greatest common divisor of q and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126a5a (base 11) in base 5?\nAnswer: 2402424102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minus 1426738775?\nAnswer: -1426738321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v + 1. Let o(q) = -3*q**3 - q**2 - q + 1. Let l be o(1). Let s be k(l). Is 84\/s*(-3)\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1 + 3*m**2 + 2*m**2 - 3*m**3 + 2*m**3. Let w = 10 + -6. Suppose 4*c = w*h + 24, -4*c + 15 = -h + 6*h. Calculate x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 751 or 41?\nAnswer: 751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - t = 3, 3*a + 2*t - 5 = 7. Let s be -11 + 13 + 2\/a. Calculate the common denominator of -97\/8 and 1\/s - (-580)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 82566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 - 40*i**3\/7 - 23*i**2\/7 + 10*i\/7 = 0. Calculate i.\nAnswer: -5, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-10)*(-1)\/(-56)*-3\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -2733, -6114, -10833, -16884, -24261?\nAnswer: -32958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(7 + (-50)\/8) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**4 - n**3 + n**2 + n. Let f(d) = -d**4 + 2*d**3 + 37*d**2 - 2*d + 222. Let m(w) = f(w) + 2*o(w). Differentiate m(k) wrt k.\nAnswer: -12*k**3 + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 5*d - 8*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**4 + 30*v**4 - 4*v - 33*v**4)*(-v + 3 - 3).\nAnswer: -12*v**5 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 4*d + 15, 1286*d - 1281*d + 21 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/3 + 32*k. Suppose 5*n = 2*n + 6. Let u(s) = s**2 - 2*s**2 - n*s**2. Determine f(u(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/6 + 1427*h**4\/2 + 17075*h**3\/2 - 12841*h**2\/6 - 24187*h + 17076 = 0.\nAnswer: -4269, -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -29.3 (c) 8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117010 and 7?\nAnswer: 819070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2970, 6113, 9256, 12399?\n\"Answer: 3143*b - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -10)*2\/(-6). Let t be 102\/120*5 + -5. What is the closest to t in 3, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5232878143 take away 70?\nAnswer: -71.5232878143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441837859*l**2*y**3 + 8*l**2*y - l*y - 4*l - 87*y**2 - y + 47 wrt y?\nAnswer: -2651027154*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/2*56\/35. Suppose 0*x = -4*x + y. Let s(k) = 2*k**3 - 3*k**3 + 0*k - 3 - 1 + 7*k**x - 5*k. Give s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 98406\/19 + 1. Let m = 5179 - p. Let z = m - 4\/57. Which is the nearest to -1\/2? (a) -2 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 2. Let m be 6\/(z + 5 - 3). Suppose 3*r - 4*x = 995, 339 = r - 2*x - m*x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88091 bigger than 654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 2*v)*(-4 - 1 + 2 - 2 + 2 - 2 + (3 + 0 - 1)*(1 - 4 + 1)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/44 + 19\/4 + -4. Let k(l) = -l. Let w(v) = -2*v. Suppose 0 = -2*u + 5*z - 17, 4*u - 5*z + 2 + 17 = 0. Let s(x) = u*w(x) + 5*k(x). Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*t + 130221 = 242*t. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 1146*d**2 + 2300*d.\nAnswer: -2*d*(d - 575)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 11*g**2 - 12*g - 21. Let p(i) = -14*i + 74. Let d be p(6). Let s be v(d). Let y be -2 - (-3 - -1) - (-4 + s). Solve 4 - y = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + o + 13 = 0, -3*h + 4*o = -4*h + 2. Let t be (-1)\/h - 1\/2. Let q = -12 - -11.8. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4399634 and 20.77207?\nAnswer: 4399654.77207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 + -3175\/9. What is the third biggest value in 18, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (744\/66)\/(-4) + 3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((35\/(-7))\/(-20))\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**4\/4 + 5*v**3\/3 + 2*v**2 + 5*v - 3. Let p be s(-4). Is (20\/(-6))\/(p\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1257\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39950 + 39950.1. Let v be 300*-2*(-2)\/(-6). Are v and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -9568\/95889 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 5 - 2*j - j - j**2. Let s be l(-5). Let m(a) = a**2 + 3*a - 1. Calculate the remainder when 17 is divided by m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -87, -157, -259, -399?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-90) - (-4)\/24.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2598.\nAnswer: 1\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 22*g - 86. Determine v(26).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*m + 45*m**2 + 9044*m**3 - 9023*m**3 + 2*m**4 + 12 + m**4.\nAnswer: 3*(m + 1)**3*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 15. Let s(m) = 6209*m**2. What is j(s(g))?\nAnswer: -37254*g**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 + 45 = 0. What are the prime factors of ((-36)\/15)\/4*t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8564052 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080 is divided by 4073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*sqrt(22))\/sqrt(2))**2 + 1.\nAnswer: 30*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6018290, -6018292, -6018294?\nAnswer: -6018296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 + 5*i**3\/3 + i**2. Let w = -19 + 19. What are the prime factors of f(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcjjjjj. Give prob of sequence jc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let l(v) = 4*v**2 - 6*v + 4. Let d be l(i). Let t = 66 - d. Calculate the least common multiple of 8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d + 4. Let w(n) = -3*n**2 - 31*n + 13. Let i(v) = 7*m(v) - 2*w(v). What is the units digit of i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/100)\/((-14)\/315) + 6\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-1)\/f))**(-8\/5)*(f**4\/f*f)\/f*f*(f*f**0)\/f assuming f is positive.\nAnswer: f**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 8*v**2 - 9*v + 2. Let i be w(-9). Suppose -3*s - 15 = -0*s, i*k - 2*s = -64. Let u = k + -17. Which is smaller: -53 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*s - 10, 3*r + 0*s + 5*s - 10 = 0. Suppose 36 = 5*l - 2*b, 2*l - 5*l + b + 22 = r. Solve -4*y + 0*y = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 73*t + 3542. Determine k(-52).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2, 2577, 2, 5.61, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 4*n**2 - 3*n - 10. Let m be g(-4). Suppose m*s = l - 49, l + s = -3*s + 37. Solve 5*q - l = -4*h, 0*q + 5*h = -4*q + 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q - 42*q - 35*q + 183*q - 39*q - 35*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 39*k - 30. Let s be b(-21). Let n = 400 - s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 34*d**2 - 54*d - 213. Calculate the smallest common multiple of 21 and u(32).\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16 = 3*h, -h + 34 = -5*z + 48 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -558460.36 rounded to the nearest ten thousand?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75504246?\nAnswer: 2, 3, 709, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 + 6*b**2 - 4*b - 14. Let v(p) = -3*p**3 + 3*p**2 - 2*p - 8. Determine 4*o(h) - 7*v(h).\nAnswer: h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1)\/((-4)\/2 - -3). Suppose 0 = -4*x, -a*f = 4*x - 1 - 8. Solve -4*y = -f*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*q**3 + d*q**2 - 11531*d*q + 8*d + 1035307*q**4 - 16*q**3 + 2*q**2 + 13*q wrt q?\nAnswer: 12*d + 24847368*q - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1144\/308*(-63)\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219.9705 - -0.0295. Let n = -220.0000324 + t. Round n to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/3 - 187*y**4\/3 - 62*y**3.\nAnswer: -y**3*(y + 1)*(y + 186)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -782\/7. Let x = -4 - -3.03. Let h = x + 1.07. Which is the nearest to h? (a) 4 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16320919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 1452*w - 527076 = 0.\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 130318 less than or equal to 130317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7655, -20123, -32579, -45017, -57431, -69815, -82163, -94469?\nAnswer: -106727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10389971 or 3\/4?\nAnswer: -10389971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5566 and 285274.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 28*s + 4. Let d be l(3). Let a = d + -87. Suppose -5*h = -4*u - 13, 8 = h - 2*u + 3*u. Calculate the greatest common divisor of a and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 1368297*q + 17788030 = 0. Calculate q.\nAnswer: -1368310, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1439, -1410, -1381, -1352, -1323, -1294?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4695, -4715, -4755, -4815, -4895?\nAnswer: -4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25462 times -3?\nAnswer: 76386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54\/7 + -52\/7. Let n(q) = 6*q**2 - 84*q - 196. Let x be n(16). Let p = -2.01 + 0.01. Sort x, k, p in descending order.\nAnswer: k, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 6. Let t be d(3). Which is greater: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 3*h**3 + 44 - h**3 + 14*h + 2*h**2 - 22*h + h**3 in the form b + z*h**3 + i*h**2 + q*h and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 152. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/9 + 0 + -3. Which is bigger: j or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 127.6?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 545, 543, 541?\n\"Answer: -2*o + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1219.\nAnswer: 2\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200 + -996\/5. Suppose -54 = -3*p + 3*l - 5*l, 2*p - 37 = -l. Which is the nearest to -0.1? (a) -0.1 (b) p (c) -2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 less than or equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 18852*w**2 - 8*w - 5328*w**2 - 3681*w**2 + 8*w.\nAnswer: -w**3 - 27861*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 z when four letters picked without replacement from {r: 3, z: 10, i: 3, k: 3, g: 1}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 569046.3km in centimeters?\nAnswer: 56904630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Let r = 0.1 - z. Let c = -1956.7 + 1979.7. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 59. Let v = a + -19. Let u = v + -25. What is the second biggest value in u, 4\/5, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*t - 39, 4*f + 1 - 40 = t. Suppose k - f = -2*k. Which is the third smallest value? (a) -2\/17 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**2\/2 + 78. Let n(a) = a**2 + 5*a. Let g be n(-2). Let w(c) = 2*c + 1 - 3 + 3. What is g*z(i) - 2*w(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000143741 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 89. Suppose -4*q - z = 4*z - 80, m = -5*q + 4*z + 59. What is the remainder when 57 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfgbeh. What is prob of sequence hg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5480533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046579367 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 - -10)*-3 + 20)\/(16\/24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*n**2 + 11*n**2 - 103*n + 103*n.\nAnswer: -148*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3976329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 36. Let d be (15*3\/9)\/o. Sort d, -10, -4 in descending order.\nAnswer: d, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3416 + 8968*f**3 + 3416.\nAnswer: 8968*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 283*w + 13*w - 49*w.\nAnswer: -306*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 134*k**2 + 219*k + 515. Give g(69).\nAnswer: -3418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 3*a**2 - 3*a**3 + 3*a**2 - 109.\nAnswer: -3*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -63114 > -63601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107836457.\nAnswer: 17, 19, 563, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/6 - n**3\/6 + 21*n**2. Calculate g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-18))\/(2\/36). Suppose -f = -5*r + 3, r + b = 4*f - r. Suppose d - 18 = -f*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 3106, 2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1327118 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-19 + 8)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.38268l to millilitres.\nAnswer: 86382.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0575213104 to 5 dps.\nAnswer: 0.05752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 260057, 260494, 260931, 261368?\n\"Answer: 437*f + 259620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 10. Let t be m(8). Calculate the highest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/(-147) + (70132\/84 - -6) is divided by 107.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 1. Let n be k(-2). Suppose 130 = 3*w + 4*u, 53 + 35 = 2*w + n*u. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -82. Let v = 24 + y. Suppose -v*r - 86 = -t - 2*r, 2*t - 140 = -4*r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 42 + 30 = 0. Let t = g - -21. Suppose 5*w = 2*l + t, -3*w - 4*l + 27 = -3*l. Solve -s - w = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + -8. Let p = f - -174. Let l = 207 - p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -16?\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 2*p + 2*p - 3*p - 3*p**3 in the form o*p**2 + c + f*p + j*p**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/529 - -541\/2116. Which is the closest to 2? (a) -0.2 (b) -0.1 (c) v (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18022417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83454 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244731?\nAnswer: 17, 23, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/210 - 5*c**4\/42 + 8*c**3\/3 + 3*c**2 - c + 273. Factor m(l).\nAnswer: -2*(l - 4)*(l + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + 49 - (-37 + 61 + -31)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/88011 and 37\/62865.\nAnswer: 440055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 475*u - 470*u = -28, -52 = s - 3*u. Sort 20, s, 5 in increasing order.\nAnswer: s, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 5, -5, 0.5, 1\/8, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 13731096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067782098 to the power of 1\/2, to the nearest integer?\nAnswer: 32677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((1\/(-2))\/((-2)\/20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:44 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32337312 to the nearest integer?\nAnswer: 5687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*t + 91*t - t**2 - 181*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18430*k**4*s - 2*k**4 + 3*k**3*s + 3*k**3 + 243*k**2*s - 42*s wrt k?\nAnswer: 442320*k*s - 48*k + 18*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1050784716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2720484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*i - 240 - 35 = 0, -4*i = -3*a + 170. Let g(k) = k**2 + 9*k - 95. What is the remainder when a is divided by g(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1416418, 5665694, 12747814, 22662772, 35410562, 50991178?\n\"Answer: -g**3 + 1416428*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917, -8088, -20047, -36800, -58353, -84712, -115883, -151872?\nAnswer: -192685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 39. Let s be j(-13). Solve 3*q = -8 - 1, 0 = 2*x - 5*q - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*x - 36, 0*q + 2*q - 5*x = -32. Let z = 47 - 42. Suppose 0 = z*w - 4*w - 1. Sort w, 4\/9, q in ascending order.\nAnswer: q, 4\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -2 - (4 + -33). Suppose 5*n + 7 = c, 3*t = 3*n + 60. Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 30*v = 31*v - 47, -d - 3*v = -35. What is the remainder when 144 is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - t - 105 = 106, -5*p + 209 = t. Let a be (p\/238)\/((-6)\/(-4)). What is the biggest value in -4, 1\/5, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 9*a - 52. What is the remainder when 437 is divided by j(18)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**20))\/((s\/(s**7*s)*s*s)\/s)*(s**(-5)\/s)**(1\/3))**(-3\/49) assuming s is positive.\nAnswer: s**(-72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-27)*10)\/((-70)\/(-105)*-1)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299252*s + 299281*s + 57*s**3 - s**2 + 3*s**2 as h*s**3 + b + r*s + n*s**2 and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccb when four letters picked without replacement from cbccbbc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22433 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 2*f**2.\nAnswer: 2*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 4*n**3 - 3*n**2 - 3311024*n + 3311022*n - 5*n**3)*(n - n - 4*n) as j*n**3 + w*n**4 + y*n**2 + t*n + p and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 - 165. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1932, -0.2, 4 in increasing order.\nAnswer: -1932, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16*i**2 + i + 2. Let p = 25 - 32. Let m(t) be the first derivative of -11*t**3 + t**2 + 5*t + 30. Let g(l) = p*y(l) + 3*m(l). What is g(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216243 is divided by 12720.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (1 + 10 - (-52 + 56)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - 117. Let d = 120 + c. What is the closest to -0.3 in d, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166*z**6 - 11*z**5 - 2*z**4 + z**2 + 963*z + 1?\nAnswer: 19920*z**3 - 660*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -f - 3, -22 = 5*j + 2*f - 4. Let s be -6*(j\/12 + 0). Solve 3*h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*c = -8, -13*d + 3*c = -9*d - 6. Solve l + l + 4 = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1294*i + 14 + 1309*i + 62 in the form d*i + c and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-34)*z)**(-35)\/((z*z**36*z)\/z**23) assuming z is positive.\nAnswer: z**1140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20060.103ms to minutes.\nAnswer: 0.33433505","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*l - 47929 + 747129 = -269*l. What are the prime factors of l?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -354?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(9065\/2450).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 - 50889706*c**4 - 215385887*c wrt c.\nAnswer: -20*c**3 - 610676472*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4554*x - 6352*x - 7487*x - 1 + (2*x - 2*x - x)*(3 + 3 - 5).\nAnswer: -9286*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9438.1 + -9873. Let k = -397 - z. Let d = -38 + k. Which is the closest to 2\/5? (a) d (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-37)\/z*z*(z\/z**(4\/3))\/z assuming z is positive.\nAnswer: z**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zha when three letters picked without replacement from {j: 10, z: 2, h: 1, a: 5, s: 2}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -10360867 and -10360866 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40563 (base 7) in base 13?\nAnswer: -4671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1947 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 135395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1399, 6072, 13801, 24538, 38235?\n\"Answer: -8*q**3 + 1576*q**2 + q - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -844, -3567, -8380, -15505, -25164, -37579, -52972, -71565?\n\"Answer: -37*z**3 - 823*z**2 + 5*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287 + 573 - 14*q - 286.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2097 divided by -233\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.13 + -3.13. Is -1\/60 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y + 44. Let a(h) = 6*h - 11. Give -9*a(f) - 2*j(f).\nAnswer: -6*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14 and (-4)\/2 - 404\/(-32)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1767?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 470*i - 1034.\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 7. Let a(j) = -j**2 - j. Let n be a(f). Suppose -5*u = -n*u - 95. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120825.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 52 - 173511*x.\nAnswer: -173511*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*b = -7*q + 36, 2 = 2*q + 3*b for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115813 or 59?\nAnswer: 115813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33871 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.5, 5\/12, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118746177 rounded to 7 dps?\nAnswer: 0.0001187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 116710000 to the nearest 1000000.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - 44.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/20 + x**4\/3 + 5*x**3\/6 - 3*x**2 - 15*x. Give o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -18. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 694\/5227?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000032169 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:46 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*h = 82, 2*h = -2*j + 5*h + 57. Let x = -8 + j. Calculate the remainder when 83 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s - 10*s**4 + 2*s**4 + 9*s**4 + (-3 + 3 + s)*(4*s**3 - 2*s**3 + 0*s**3).\nAnswer: 3*s**4 - 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553034.\nAnswer: 2, 276517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.665 or -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 39 = -9*d. Let k be (-2)\/(-5) - -36*d\/10. Let v be (-380)\/k + (-2)\/(-7). What is the fourth biggest value in 0.2, 6, 2\/7, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 5*w - 466*w**2 - 619 + 365 + 5*w.\nAnswer: -466*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662 and 56947557?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t**2 + 10*t - 10*t + (-t - 3*t + 3*t)*(1 - t - 1) + 0*t - 2*t**2 + 0*t.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6531 - -6531.00002346. Round x to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Suppose 0 = 3*u - 0*u - 5*l - 8, 2*u - 4*l - 4 = 0. Let p(s) = 7*s - s - 7*s + 2*s. Give u*p(z) - r(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4959757 times 9\nAnswer: -44637813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**0)\/(h\/(h\/(h*h*h\/(h**(-12)*h))*h)))\/((h\/(h\/h**(-13)))\/((h\/(h*((h*h**15*h)\/h)\/h))\/h)))**(-3\/13) assuming h is positive.\nAnswer: h**(45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9110 + -0.1588231.\nAnswer: -9110.1588231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/20*-5 - -1. Suppose 2*l - n = 5. Solve -l*u = 1 + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5871)\/(-68495)*5\/(-6))\/((9\/(-3))\/(-48))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319817.\nAnswer: 319817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 509.98 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/120 - c**5\/4 - 9*c**4\/8 + 81*c**3\/2 - 4754*c**2. Factor p(s).\nAnswer: -(s - 3)*(s + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -34 - (-17 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 12. Let t(v) = v**3 - 2*v**2 + 3*v - 4. Let d be t(l). Suppose 5*x - 6 = d. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - -10100110100001001000?\nAnswer: 10100110100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 479132351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/4)\/((-882)\/(-1428)*17).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/411, 3\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Suppose l = 2*p + p - 24. Let m = -13 + 29. What is the lowest common multiple of p and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.08 - 0.08. Let p = -1.3 + 1.4. Which is the nearest to p? (a) 0 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*r**3 - 43*r**5 + 32*r**3 + 4*r**5 - 2*r**5 - r**5 + (-3*r + 2*r + 2*r)*(-2 + 2*r**4 + 2) + 0*r**2 + 0*r**2 - r**5 - r**2 + 4*r**5 + r**2.\nAnswer: -37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/2 + 0)*(-8)\/(-6). Suppose 16 = 6*v - a*v. Suppose 7*i + v = 11*i. Solve -g = -i*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (0 - -1) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + y - y + 0*y - 2*y + y - y - 1 + 1 + (0*y + y + y)*(1 - 1 - 1) + 5*y + 3*y + 2 - 3*y.\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*s - 0*s - 238002, 0 = -h - 3*s - 59503. Round h to the nearest 1000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0, 5, -10 in decreasing order.\nAnswer: 5, 2, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrmk when four letters picked without replacement from {s: 2, r: 3, h: 10, a: 1, k: 2, m: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 245736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:34 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 27. Determine g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 0. Suppose -108 = -7*d - 2*d. List the prime factors of (-1014)\/t - (-4)\/d.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.2. Let w = -20295.5 - -20295. What is the second biggest value in -5, j, 1\/7, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-76)\/2)\/(-1)*(-1818)\/7272)\/((-2)\/(-12)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 4*r. Let v(b) be the second derivative of b**4\/6 - 32*b. Calculate m(v(p)).\nAnswer: 4*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239763337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 1, -15 in increasing order.\nAnswer: -15, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-16)\/(-18)). Let g = v + 1\/2. Sort g, 1, 5 in increasing order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8. Suppose w*f + f = 2. Suppose -f*y - 12 = -5*s, -4*y + s + 2 = 4*s. Put -4, 1, y in decreasing order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17188450 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 2 p when four letters picked without replacement from {z: 1, a: 1, i: 1, p: 6, t: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wziiz. Give prob of sequence izi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2109553 millilitres to litres.\nAnswer: 0.0002109553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:38 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 2. Let f be -5*14\/(-105)*3. Sort 4, f, h.\nAnswer: h, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -156. Calculate the lowest common multiple of (1616\/12)\/(c\/(-6)) and (-4)\/18 - ((-382)\/18 - -3).\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -2. Suppose 10*d - 8*d = 42. Suppose 0 = -7*o + d + 14. Solve -x = o*s - 9, a*x - x + 5*s = 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:40 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/4)\/(18\/(-24)). Let p(c) = c**3 - 4*c**2 + 4*c - 1. Let v be p(3). Suppose -l + f = -v. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2785828.73 from 1.\nAnswer: 2785829.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5\/4 + 357*g**4\/4 + 171*g**3\/2 - 357*g**2 - 354*g = 0. What is g?\nAnswer: -118, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 17 + 32 + (-8 - -7)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10320002 (base 4) to base 16\nAnswer: -4e02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 40*j + 212. What is the remainder when 416 is divided by o(8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y**(4\/11)\/y)\/y))*y**(-1\/15)*y*y*y**(-2\/15)\/y*y*(y\/y**14)\/y assuming y is positive.\nAnswer: y**(-761\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/2776738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2114 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or 1\/127?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -95*w**3 + w**2 - w - 1. Let v be g(-1). Suppose 0 = 2*x - 16. Suppose -x*r + 48 = -4*r. What is the greatest common factor of v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - 26 - 1340\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 1102576?\nAnswer: 1102575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5\/4 - 15*y**4\/4 - 3*y**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*(k\/k**7)\/k)\/((k\/(k\/k**(2\/29)))\/k**(-1)) assuming k is positive.\nAnswer: k**(-2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)*1812\/(-432). Let v = 53\/6 - m. Is 2 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -1028.\nAnswer: 23\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*a**3*p**2 + 14*a**2*p**2 - 1401*p**2 wrt a.\nAnswer: 87*a**2*p**2 + 28*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*v + 100*v + 316*v - 1 + 1 - v + (3*v + 0*v - 2*v)*(-2 + 4 - 3) + 4*v - 3*v - 2*v - 2*v + v - v + 2*v + v - v.\nAnswer: 361*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0003 in -2\/5, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8212*b - 25. Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2104, 2148, 2192, 2236?\n\"Answer: 44*u + 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 + 117. Let a(f) = 33*f + 2. Let l be a(2). Suppose 3*q - l = b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 50*p - 16826650 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d + 19*d - 39*d.\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28661?\nAnswer: 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-4 - -4)) + 2. Suppose 5*v = -5*k + 75 + f, -16 = -k + 3*v. Let b = 157 - k. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -8*n**4\/7 + 286*n**3\/7 - 2008*n**2\/7 - 520*n\/7 = 0.\nAnswer: -1\/4, 0, 10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -7 + -3 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7439 + -7438.9994637. What is v rounded to five dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 5*z**2 - 5*z + 0*z. Let l be h(-3). Is 33 a factor of 295\/3 + (-26)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igggggggqiggiiigigi. What is prob of sequence iqgg?\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949525 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/(((-39)\/13)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - (-6 - (-9 + (0 - -8)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*q - 10 = 0, 5*l - 2*q + 8 + 2 = 0. Let w be -3 + (-1)\/(-1) + l. Let o = 8 - w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Suppose -p - t = -0. Let r be p\/(-16)*120\/(-54). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10612\/750355 - 6\/4841. Suppose 5 = -4*g - g - 2*s, 2*g - 4*s = -2. Suppose -3 = 2*m - 7. Which is the biggest value? (a) m (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-1)\/(-1) + 1). Suppose -14 = -5*g + 2*o, -g + o = -3*g + 11. Solve k + j = g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1717*g**2 + 47*g*t + 170571*t with respect to g.\nAnswer: 3434*g + 47*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joj when three letters picked without replacement from {o: 5, c: 3, j: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {a: 3, m: 1, x: 1, z: 4, s: 6}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3 - 4 - 208*h + 444*h to i + z*h and give z.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 50*x**2 - 44*x - 34. What is b(-24)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -75*s**2 + 813*s + 12. Determine z(11).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - 143. Let d be 3*2\/6 - -6. Let y(c) = 0 - 1 - 7 - 8*c. Let t(i) = 9*i + 9. What is d*y(j) + z*t(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5470 by 10.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819\/49 - (-2)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1504334 or -1504300?\nAnswer: -1504334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26 (b) -2589 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 9 - (-726)\/246. Let t = 0.23 - -0.07. Which is the smallest value? (a) m (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 23 + -109 + (270 - 116)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2200 and 752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 5*b**2 + 2*b - 7. What is r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 120?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x = -606. List the prime factors of x.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 + (1 - 0) - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 4*m - 111. Let h be x(-13). Solve -11*d + h*d - 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = 33. Let a be 0 + 5\/(-2 + -3). Sort a, -2, l in decreasing order.\nAnswer: a, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463123343 to the power of 1\/3, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -432, -377, -322, -267, -212, -157?\n\"Answer: 55*i - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 143, 291, 439, 587, 735?\n\"Answer: 148*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/923 and -51\/13.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 25 = 5*f. Let s(t) = -47*t**3 - t**2 - 28*t - 56. Let q be s(-2). Let w = q + -370. Solve f*z + n = -19, 3*z - 7*n = -w*n - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let i(j) = j**2 + j. Let y(p) be the first derivative of 8*p**3\/3 + 9*p**2\/2 - 2. Let d(c) = 18*i(c) - 2*y(c). Determine d(a(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.482 in 12350, 1, -4, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j - 4. Give y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*k = 12, 2 + 4 = a - 4*k. Suppose 5*d - 3*o - 35 = 0, 2*d = 5*o - a + 39. Solve 0 = -4*j - d*i + 40, -5*i + 29 = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/((-11)\/((-2805)\/(-68)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 10. Let h(u) be the second derivative of -u**4\/2 + u**3\/2 - 3*u**2\/2 - 4*u. Let m(w) = 5*w**2 - 2*w + 2. Calculate o*h(k) - 3*m(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -94.866. Let a = s - -0.04. Let x = 0.13 - a. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -54. Let h(x) be the third derivative of 6*x**2 + 0 + 0*x**b - 2\/105*x**7 + 0*x**6 + 0*x + 0*x**4 + 0*x**5. Let h(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*g - 6 = -o, -o = g + 6. Let k be -7 - o - (-8)\/4. Factor -260*q**3 - 554\/3*q**2 - 40*q - 8\/3 - 338\/3*q**k.\nAnswer: -2*(q + 1)**2*(13*q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + 2*sqrt(12))*1)\/(2*sqrt(100)) + (sqrt(36)*-2*1 - sqrt(36))\/(-2*-1*sqrt(12)) + 3)**2.\nAnswer: -36*sqrt(3)\/5 + 333\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.1829 - 0.2\nAnswer: 1.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 6*w. Let a(f) = -13*f**2 + 11*f. Let u be (-19)\/(-3) + (-4)\/12. Let b(v) = u*a(v) - 11*x(v). Let r(j) = 2*j. Give r(b(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164528.\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52248 - -367?\nAnswer: 52615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3142199 is divided by 523696.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 10:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2406 - 52)\/(4\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1002, -3\/16, 0, 5, -154?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-8))\/(2895\/9264).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -3 (c) 1\/4 (d) 0.2 (e) -72\/211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 2, f: 2, m: 1, l: 11}. What is prob of sequence cm?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174.328 - -0.328. Let j = z - -174.2. What is the nearest to 2 in -0.3, j, -2\/19, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 926*u**2\/5 + 566*u + 156\/5.\nAnswer: 2*(u + 3)*(463*u + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 57. What is the smallest common multiple of 5 and t?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2524*a - 2491*a = -759 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-6) - 20\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14916 = -4*g, 0 = -5*r - 2887*g + 2882*g + 74605. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*l**4*o + 2*l**4 + 81*l**3 - l*o + l + 3*o - 16 wrt l.\nAnswer: 108*l**2*o + 24*l**2 + 486*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12*f + 0*f = -2*f + 54, 0 = 5*j - 4*f - 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -14566?\nAnswer: -14572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734409469.\nAnswer: 17, 5483, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -13, -15, -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 1. Let l(r) = -r**2 - 3*r - 1. Let o be l(-2). Suppose 2*j - o + 9 = 0, -i - 4*j - 19 = 0. Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113523 to 4 dps.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*8\/80)\/((-6)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-15) - 3\/15)*21\/18. What is the closest to -1 in 5, 1.1, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, -198, -395, -670, -1023, -1454, -1963?\n\"Answer: -39*b**2 - 2*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2204, -2205, -2206, -2207, -2208, -2209?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 317640849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 2*u**5 - u**5 + (u**3 + u**3 + 0*u**3)*(-u**2 - 2*u**2 + 5*u**2) - 3*u**3 - 2*u**5 + 3*u**3 + 2*u**3 - 2*u**3 + u**5 + 26916 + 15745*u**5 - 26916.\nAnswer: 15750*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*-1 + sqrt(1344) - (-4*sqrt(168))\/sqrt(8))\/(((2*sqrt(392))\/sqrt(7))\/(sqrt(32)*-6)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssggss. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 1960128?\nAnswer: 1960128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmmmmm. What is prob of sequence wm?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:25 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gylbygyzyygygyzgzgy. What is prob of picking 3 g and 1 b?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/4*(-12)\/(-27)*(-261)\/(-58).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 30 = -5*r, -147*s + 144*s - 5*r + 30 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*z + 51*z = -6*z - 1582 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 1453.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 3)*(0 + 4 - 3) - 2 + 0 + 3 - 1 + 0 - 1)*(-2*a + 0*a + 4*a)*(-1 - 4 + 4) - 82*a + 290 - 290 in the form t + d*a and give d.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8090 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 99. Let v = 8.48 - 0.48. Let w = 0.126 + -0.426. What is the fourth biggest value in 0.5, c, v, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3992 + -2812. Calculate the remainder when q is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3761 - 3761. What is the second biggest value in -4, 58, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -152, -131, -74, 31, 196, 433, 754?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.337836 rounded to 2 decimal places?\nAnswer: 235.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 413, 0.35, 58\/5 in decreasing order.\nAnswer: 413, 58\/5, 6, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - h + 7. Let i be b(0). Suppose -i*q = 2 - 16. Suppose -5 = s - 3*u - 1, 0 = -q*s - 4*u - 8. Is -3 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)*l**(-21))\/((l\/(l\/((l*l**(-2\/7))\/l)))\/(l**(-15)\/l)) assuming l is positive.\nAnswer: l**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 4*p**2 - 4*p - 1. Let g be r(5). Suppose 20 = 4*a - 20. Suppose n + g*n = -a. Sort n, 0.08, 0.2.\nAnswer: n, 0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075372061 rounded to seven decimal places?\nAnswer: -0.0007537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s + 232. Let x be p(-10). What is the fourth biggest value in -2, 13, x, -0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*8\/3. Let y be (i\/(-1))\/(-2*3). Let x = 1\/123 - 134\/1353. Which is the nearest to y? (a) x (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2645, 3, -1.\nAnswer: -2645, -17, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 1. Let c(g) = -g. Let a(o) = 4*c(o) - k(o). Let b(y) = 4*y**2 + 12*y + 12. What is -12*a(z) + b(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-390)\/117.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53711 and 553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1567394419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 7656380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)\/(n**(-2)\/n)*(n**(1\/3))**(6\/7) assuming n is positive.\nAnswer: n**(101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2095? (a) -0.5 (b) -3 (c) 4 (d) -0.4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3317.697 - 0.3.\nAnswer: 3317.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -z + 6*z - 6, -2 = z + 4*h. Let j(a) = 3*a + 2. What is the units digit of j(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 498*w + 236 - 236 + (1 - 3 + 0)*(3 - 1 - 1)*(-2*w + 3*w + 0*w) as l + o*w and give o.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21063566714 - 2?\nAnswer: -21063566716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r. Let n(v) = 20*v - 5. What is n(u(i))?\nAnswer: -60*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.068162 and 226.2.\nAnswer: 15.4182444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)*-1 + 8. Let a = -2 + b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-4)\/8*6. Let n = j + 9. Let o(i) = -i + 4. Give o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -184, -178, -168, -154, -136, -114?\n\"Answer: 2*d**2 - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 29*u**2 + 10*u + 17. Let g be s(-14). Let y = 15 + g. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2 - 3. What is the first derivative of 3*n**2 + k - n - 3 + n wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11066.\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1.2 (b) -2\/3 (c) 13 (d) 794 (e) -0.7 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 12. Let i = u - -12.9999896. What is i rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-400*p + 3992 - 154*p - 3990)*(7 - 4 - 1) to h + d*p and give d.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/6 - 349*k**3\/6 - 6691*k**2\/6 + 31261*k\/6 - 4037 = 0. Calculate k.\nAnswer: -22, 1, 3, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/(-6))\/(1\/(-2)). Let q(k) = -k**3 + k**2 + 31. Let r be q(0). Let v = t + r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11752 (base 8) in base 16?\nAnswer: 13ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/2 + 16339*d - 359700 = 0 for d.\nAnswer: -32700, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.3 + -3.3. Let d = t - 13. Let l = -0.41 - -0.31. Put l, d, -1\/5 in descending order.\nAnswer: d, l, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*p - 5*p**2 - 4 - p**3 + 154*p - 76*p as w*p + l*p**2 + t*p**3 + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -14.8. Let u = -13.0000006 - x. What is u rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77098811*u**3 - u**2 + 6646170*u - 1.\nAnswer: 462592866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let m(j) = -j**3 - 4*j**2 - 4*j + 1. Let p be m(-3). Suppose 3*n + 0*h + 3*h = 9, -n - 3*h = -3. Sort r, p, n in ascending order.\nAnswer: r, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 515, 509, 501, 491, 479, 465?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -507 - 2d73e?\nAnswer: -2dc46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*c**5\/c)))\/c**(-2\/15))\/(c**1)**(-3\/32)*((c**(2\/5))**(-1\/16))**12 assuming c is positive.\nAnswer: c**(569\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18079768 is divided by 6986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-5 - 58\/(-18)))*18. Suppose 2*k - 10 = -0*k. Sort -3, k, z in decreasing order.\nAnswer: k, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11\/6)\/l**(-6\/7))**(3\/10) assuming l is positive.\nAnswer: l**(-41\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/26? (a) 5 (b) -23 (c) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27869 is divided by 216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 0) - -4 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 5, 1710, -5 in descending order.\nAnswer: 1710, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 2. Let m(c) = -2*c + 4. Let x = 8 - -15. Let u be (x + -1 + 3)*-1. Let f = u + 38. Give f*o(s) - 6*m(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*4 + sqrt(114))*5)\/((sqrt(108)\/sqrt(2))\/sqrt(9)).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291145 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - 2*f**3)*(-353 + 55 - 420)*(-3*f - f + f).\nAnswer: -4308*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(1 - 1 - 4*t) + 3*t + 5*t - 6*t - t - 2*t + 0*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258572.1 litres to millilitres.\nAnswer: 258572100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 122*w**2 + 3048*w - 42. Determine l(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 e when three letters picked without replacement from wevwpevnephwnnwwwvn?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2\/5 - 1132*m\/5 + 79128\/5 = 0.\nAnswer: 126, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 32*m**2 - 2*m + 72. Let x be h(32). Solve 4 = 4*p + x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-597)\/1393 + 6\/14. Let m(d) be the first derivative of 5\/24*d**4 - 16 + 0*d**3 + 0*d + y*d**2. Find k such that m(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -3) + (-55)\/(-5). Suppose 0*u + 2*u - 30 = 0. Does 4 divide n\/((-2)\/5)*(-114)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 1 - 1 + (2 - 6 + 2)*(c + 4*c - 4*c) + 0*c - c - c + 0*c + 0*c + 2*c - 4*c + c + 4 - 5.\nAnswer: -7*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166918.\nAnswer: 2, 83459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*p + 7 + 16, 4*z + 3 = -p. Suppose -4*x + 5*x - 86 = -2*l, p*l + 5*x - 225 = 0. Calculate the remainder when l is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.060863 days?\nAnswer: 523658.5632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 4) + 272\/204)\/(21\/(-45)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10004 - -4?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093349 is divided by 382.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15078689 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 353.6618 centuries?\nAnswer: 35366.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363550 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2\/2 + 2. Let a(d) = 9*d + 5. Let k(x) = 8*x + 4. Let t(j) = 4*a(j) - 5*k(j). Calculate q(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -24) + (-8 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from peefjsjspwjjj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 7*t**2 + 5*t**2 - 8*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4081 is divided by 102.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 3*u + 2. Let c(a) be the first derivative of a**3\/3 - a**2\/2 + a - 7017. Calculate -4*c(j) - z(j).\nAnswer: j**2 + j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-35) - 32\/(-15). Let s = -6.1 - -6. Let u = s + -4.9. What is the smallest value in v, 2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 4678*r + 4678*r - 20*r**3.\nAnswer: -20*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = n + 3, 0 = 2*f + 4*n - 8. Let z = 671 + -676.07. Let x = z + 0.07. What is the closest to 0.1 in f, 5\/3, x?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/257 + 503\/2827. Let f = -18.14 + 18. Let w = 1.86 - f. What is the second biggest value in 2\/15, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, 1326.3, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + sqrt(1372) + 4*(-1 + sqrt(1372) + sqrt(1372)))*4)**2.\nAnswer: -3557792 + 56448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-45))\/(4\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7206 is divided by 105.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.243*826.9.\nAnswer: -3508.5367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92 + 29da3?\nAnswer: 2a055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -14676, -0.06.\nAnswer: -14676, -0.06, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -153, 5, -15, -17, -4 in increasing order.\nAnswer: -153, -17, -15, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*j + 7*j + 2*j)*(1 - 2 + 0) - j - 2*j + 0*j)*(4 - 4 + 5)*(-20*j**2 - 20*j**2 - 6*j**2).\nAnswer: 1610*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 8:59 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = -5*l + 534, -x + 216 = 2*l. Let h = l + -105. Let 0 - 420\/11*s**3 - 250\/11*s**h - 136\/11*s**2 - 50*s**4 - 16\/11*s = 0. What is s?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 236474516 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x + 7*x**2 + 13*x - 2*x**2 + 0*x**2 - 2*x**2. Let q(i) be the first derivative of i**2 - 290. Give q(d(k)).\nAnswer: 6*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -3*i**6\/5 + 97*i**5\/10 - 70*i**4\/3 - 12*i**3 - 28*i + 42. Let y(k) = 0. What is k?\nAnswer: -2\/9, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 190*k + 2 - 183*k - 5 - 7. What is z(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -20, -35, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 703*j**2 + 2*j + 28. Let w(b) = -1407*b**2 - 3*b - 49. What is -7*r(o) - 4*w(o)?\nAnswer: 707*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44.3 and -0.04?\nAnswer: 44.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 0. Calculate the lowest common multiple of 11 and ((-2)\/(-2))\/(a\/39).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353676843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*n**2 + m*n + 3*m - 279659*n**2 + 427822*n wrt n.\nAnswer: 2*m - 559318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**3))\/w*(w**2\/w)\/w*w**0\/w*w*w**(-1)\/w)\/((w**(-7)\/(w\/(w\/(w*w**(3\/2)))*w))\/((w**6*w)\/(w\/(w\/w**(2\/13))))) assuming w is positive.\nAnswer: w**(451\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (2*sqrt(684) - sqrt(684))*4 + -2*sqrt(684)*1)**2.\nAnswer: -16566 - 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgbfabfg. What is prob of picking 1 a, 1 g, and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d*j**2 + 14*d - 8*j**2*z - 2*j**2 - 152*j*z + z + 297 wrt j.\nAnswer: -8*d*j - 16*j*z - 4*j - 152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/7969385 and 61\/14539565?\nAnswer: 1904683015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176033 is divided by 1068.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 - 10*q - 3. Let u be (-12)\/(-14)*(-112)\/(-16). List the prime factors of n(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7622 - 128*o**3 + 3808 + 3809.\nAnswer: -128*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445431 is divided by 121?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 729232 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:06 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/14)\/r)\/(r\/r**(-15\/2)) assuming r is positive.\nAnswer: r**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/29? (a) 2\/3 (b) -0.15 (c) -3\/4 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 + 3. Let b be ((-936)\/90)\/(4\/(-10)). Suppose b*o - 75 = 41*o. What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13236 and 6618.\nAnswer: 13236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -4\/9 (c) -0.89 (d) -11 (e) 5 (f) -2\/3 (g) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278362 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*f + 1649, 2*f - 1340 = 2*g + 2*g. Let k = g - -338. Solve -3*y - k*z - 23 = 1, y - z = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -208075\/3996?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3257189 - 0.3.\nAnswer: -1.6257189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 - 32844*p - 65696 = 0.\nAnswer: -2, 16424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**2 + h**2 - 1 - h**2 + 2*h**2 wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 26*t**2 - 26*t - 18. Give b(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-255)*(398\/(-2786))\/(1\/(-21)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50221 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.4 - 35. Let z = 1.458 + -1.758. What is the third smallest value in n, z, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 7*d + 10. What are the prime factors of y(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.522075 kilometers to meters.\nAnswer: 5522.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -31. Calculate the greatest common divisor of 72 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 46 = -8*k. Suppose 0 = o - k*o - 2*f + 1980, 2620 = 4*o - 4*f. Are 658 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c + 8. Let j(y) = 16*y - 17. Let m(n) = -6*j(n) - 13*o(n). Determine m(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/120 + o**4\/24 + 3*o**3 + 5*o. Let k(a) be the second derivative of m(a). What is k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3359 in 1\/4, -11\/2, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = 7. Suppose -5*o + k = -8, -i*k - 8 = o - 0*o. Calculate the lowest common multiple of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6, 0*t - 5*i - 10 = 5*t. Let l be (50\/t)\/((-4)\/(-6)). What is the highest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 7*u + 8. Let j be r(6). Let o = -2 + j. Suppose 4*q - 3*q + 2 = 0, -2*f - 4*q + 8 = 0. Calculate the greatest common divisor of f and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20*p**2 + 21*p + 9. Let j(v) = -5*v**2 + 5*v + 2. Let k(x) = 37*x - 361. Let w be k(10). Determine w*j(m) - 2*d(m).\nAnswer: -5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 5. Let b be x(5). Suppose -7*r = -2*r + b. Let i be 2\/1*55\/22. Put i, r, -4 in decreasing order.\nAnswer: i, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16048 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*q**4 - 2)*(5 + 2*q - 5) + (14331 + 137*q**3 - 14331)*(-3*q**2 + 4*q**2 - 4*q**2).\nAnswer: -407*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 9*h - 12. Let v be o(-9). Let r be (-4)\/(v\/27) + 0. Let j = 71 + -44. What is the greatest common factor of r and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-729))\/((-6)\/27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 4)\/1 - -53. Let y = k + -56. Suppose -14*h + 6*h - 104 = y. Is h smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8712 and 32904?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 336*x - 352*x. What is the fourth biggest value in 4\/9, x, 0.7, -17\/5?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 3*l**3)*(l + 0*l + l) + (-2*l**3 + l**3 + 0*l**3)*(-l + l - l).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374639405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 423899000 to the nearest 100000.\nAnswer: 423900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.04049 take away -6264.6038?\nAnswer: 6270.64429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*l - 270*l = -600. Let v be 72\/(-24) + 158\/(-8). Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 4*m + 10*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/11)*h**(-13))**13 assuming h is positive.\nAnswer: h**(-1820\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + 50 + 165\/15. Solve 0 = c + 15*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 9 (c) -30\/19 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1589478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 31 = -2*o, 23*o - 17 = 19*o - w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:00 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-7)\/4 + 2). Let m be ((-11)\/(-5) + -1)*-5. Let a be (-8)\/m*1\/(-2). What is the nearest to -2\/5 in a, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**3 - 5*z. Let w be (50\/(-5))\/(-4 - -7 - 5). Let l(m) = -99*m**3 - 36*m. What is w*l(r) - 36*t(r)?\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(630) - (sqrt(630) + sqrt(630)*2)) + sqrt(630))*6)\/(((sqrt(1000) - (sqrt(1000)*-2 - sqrt(1000))) + sqrt(1000))*-2).\nAnswer: 99*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(-10) - 53\/(1007\/(-228)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178 + -583613?\nAnswer: -583424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-2*l - l + 2*l) + 21*l - 572 + 572 - 4*l + 3*l + 0*l)*(l + l**2 - l) + 4*l + 2*l**3 - 4*l.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - x + 0*x + 9 = 0, 0 = -4*j + 2*x - 32. What is the common denominator of ((-63)\/24)\/j*76 and (387\/(-24))\/(63\/(-12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46146\/253 - -3066\/23. Does g = -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 9*r**2 + 5*r - 5. What is the tens digit of a(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f + 2*f)*(-10 + 0 + 2).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 30*f + 27. Let c be l(-14). Put 2, c, 10, -2 in increasing order.\nAnswer: -2, c, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Let b be ((-20)\/25)\/((-1)\/o). Suppose 38 = 5*h - b*z, 2*z = 5*h - z - 36. Calculate the greatest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - r + (-47*r - 75*r + 32*r)*(-5 + 4 + 2))*(-2*r**2 - 2*r**2 + 3*r**2 + (-3 + 2*r + 3)*(-2 + r + 2)).\nAnswer: -91*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five eighths of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 8*c + 3. Let a be i(-6). Let w = a + 15. Calculate the remainder when 16 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*z - 3 = -4, 2*z = 2. Let w(v) = -5*v + 42. Let i be w(8). Let y(c) = 8*c - c + q*c**2 - 1 - 4 - 3*c**i. What is y(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -23\/3926027?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplplpllllllllllpl. Give prob of sequence lp.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)*z**(6\/19))**(5\/4) assuming z is positive.\nAnswer: z**(10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2)*-5 + (sqrt(300)\/sqrt(5) - sqrt(60))*1)\/(sqrt(24)\/(sqrt(2)*1) - sqrt(12) - sqrt(12) - -3*sqrt(12)*-2).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50995198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:46 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46977 and 37569.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 7. Let i(f) = -f**3 - 11*f**2 - 11*f - 5. Let n be i(-10). Let c(d) = -4*d + 5. Let a(s) = n*j(s) + 7*c(s). Let p(v) = 2*v**2. What is p(a(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56078 + -24595. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5661)\/34*(-4)\/6 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 15*d**2 + 31*d - 2. Let m be h(-3). Suppose t - m*i + 15*i = -6, -3*t - 3*i - 6 = 0. Solve 0 = 2*w + 2*p + t*p + 10, 3*w + 15 = -4*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 + 5*g**2 + 1. Let q(l) = -13*l**3 + 7*l**2 + 1. Let a(y) = -7*h(y) + 5*q(y). Differentiate a(r) with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(11\/7)*x*(x*(x**(1\/11)*x)\/x)\/x)**21 assuming x is positive.\nAnswer: x**(615\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 277741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 2*x**2 + 2*x. Let p be n(-2). Let b(m) = m**2 + 4*m - 11. Give b(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 120 = 5*o. Suppose 0 = -32*k + 28*k + 468. What is the remainder when k is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2945 + -6535. What is the third smallest value in -1, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 6910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 11, -2\/7, -3, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6320 and -1\/9480.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + 2 + (66 - 34).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129638863 to the nearest integer?\nAnswer: 11386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2429 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -0.5, -88, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14980781, 14980779, 14980777, 14980775?\n\"Answer: -2*c + 14980783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 333123?\nAnswer: -333120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40141752239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 2*n + 2*n - 4*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890810 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 8*z**2 - 164*z + 168.\nAnswer: 4*(z - 7)*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*a**2 - a**4 - 13*a**4 - a**3 + 314*a**2 - 43*a**4 to y*a**4 + c*a**3 + l*a + n*a**2 + v and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -79, -116, -151?\n\"Answer: b**2 - 42*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-6))\/t*t)\/t**(-1\/15))**(2\/57) assuming t is positive.\nAnswer: t**(212\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**6\/120 + x**5\/12 - 5*x**4\/24 + 5*x**3\/6 - x**2\/2 - x. Let z(i) be the first derivative of d(i). Give z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 5*d**2 - 132*d + 53. List the prime factors of x(22).\nAnswer: 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/12 and 33\/1051040.\nAnswer: 3153120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2879179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2380, 2344, 2298, 2254, 2224, 2220, 2254?\nAnswer: 2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*g = -2*g + 4*g + 28, w - 19*g + 22*g + 25 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b + 83. Let a be s(-15). Let r = a + 256. Calculate the smallest common multiple of 21 and r.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -51 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:39 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542111 (base 11) to base 12.\nAnswer: a7287b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 68?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. Let w(t) be the second derivative of t**3\/6 + 5*t**2\/2 - 154*t. Give w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/11)*n**15\/n*n)**28 assuming n is positive.\nAnswer: n**(4508\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5656)\/(-120) - (-4)\/(-30). What is the highest common factor of a and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29\/14 - 4\/7. Let u = -0.122 - -0.052. Sort u, -1\/7, 3, q in descending order.\nAnswer: 3, q, u, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5160784 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481190813?\nAnswer: 3167, 151939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*(sqrt(84)\/sqrt(3) + sqrt(28)) - 6*(1 + sqrt(28))))**2*3.\nAnswer: 120*sqrt(7) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*d - d + 72, -5*c = 3*d - 309. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -3. Let d = 9 + m. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2251*r + 78*r**3 + 2251*r - 267*r**3.\nAnswer: -189*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.22 (b) -0.4 (c) -4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - 0.3. Let g = -658 + 656. Which is the third smallest value? (a) g (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 336, 476, 604, 726, 848, 976, 1116?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u**(-6\/7))))*u**(-6))\/((u*u**(-9))\/u*u**(7\/2)) assuming u is positive.\nAnswer: u**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + -8 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.6. Let p = 49828 - 49830.0287. Let a = p + 0.0287. What is the closest to f in a, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1219*b*i*v**2 + 8878*b*i*v - 3*b*v**2 - 24941*b*v - 21*v wrt i.\nAnswer: 1219*b*v**2 + 8878*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28290*x**3 - 22815 wrt x?\nAnswer: -84870*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 8:36 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 111*u**2 + 3*u - 321. Let t be j(111). Let v(r) = r**3 - 12*r**2 - 3*r + 49. Determine v(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13170 and -0.43?\nAnswer: 5663.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14970 and 35928.\nAnswer: 179640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (-126)\/(-12) - (-10)\/(-4). Put -41, 4, d in increasing order.\nAnswer: -41, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 678875 (b) 1 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -393 - 1620. Suppose 180*z = f*z - 312. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -267, 4, 5, 3 in ascending order.\nAnswer: -267, -3, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174876?\nAnswer: 2, 3, 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29589?\nAnswer: 3, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 10*o - 29. Let n be g(6). Suppose -n*x + 122387 = -324284. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -r, 0 = -5*i + 2*r + 242. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 25 = 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i**5 - 10261*i**4\/4 + 13928*i**3 - 11189*i**2\/4 - 17115*i\/2 = 0.\nAnswer: -326, -21\/32, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 h when three letters picked without replacement from {d: 1, t: 1, h: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**5*q - 574070*n**2*q - 140276*n*q + 109*n wrt n?\nAnswer: -140*n**3*q - 1148140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4539*q - 1688437. Give v(372).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 + -270. Suppose 5*t = 5*z + 35, 21*z - 20*z = 2*t - j. Solve 8*p + 3 = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3086 + -2078. Calculate the highest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4645)\/(-1110155))\/((-10)\/(-4) + -2)?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1043*a**4*u + 2*a**3*u - 1952*a**2*u wrt a?\nAnswer: 25032*a*u + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 6}. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = -2*w + 2*i + 3*i, -3*w - 3*i + 582 = 0. Calculate the highest common factor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*35\/((-20475)\/26).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 = -k + 24, -2*f + 4*k + 16 = 0. Find the second derivative of -l**4 - 2*l + l**4 - l**f - 3*l**4 wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/(-14)*((-16)\/3)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*j - 12. Let k(w) = w**2 + 4*w - 7. Let g be k(j). Let i = g - 0. Sort -3, 3, i in decreasing order.\nAnswer: 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - 28 + 488. Let n be 87\/(-18) - -5 - o\/(-12). Calculate the remainder when 27 is divided by n\/14 - (-1)\/(14\/206).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*r**2 - 32*r wrt r?\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135612 is divided by 93?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/246)\/(2*12\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 3*v**3 + v**3)*(-1 - 1 + 9) + 10 - 10 - 3*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 46152.\nAnswer: 138456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12612 times -83\nAnswer: 1046796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12012 is divided by 3961.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 - 2?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3895*3.2079.\nAnswer: 1.24947705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3)*-1) + -5.\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 73 - 75 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 1 - 1. Suppose 16 = -9*o + 79. Let x(c) = -6*c**2 + 14*c**2 - 5*c**2 - o*c**2. What is h(x(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-6)*10\/(-30)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 5*i - 1. Let r be g(-4). Let j = r + -1. Let n(k) = -4*k**2 + 2*k - 1. Let s(p) = -17*p**2 + 9*p - 5. Determine j*s(d) - 9*n(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*c = 198*c + 2*b + 18, 4*b + 11 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62782 or 62783?\nAnswer: 62782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.00344883 * 5\nAnswer: -0.01724415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6 + 12. Let u be 3\/(-5) + p\/(-15). Let z be (u + 5)*1*4. Calculate the greatest common factor of 144 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271 (base 10) to base 3\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3534091884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxjxxj. What is prob of picking 3 j and 1 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 2, o: 2, m: 1, l: 7, s: 1}. Give prob of picking 1 m and 1 j.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*f = 11622 - 23672 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*x - 282, 3*x + 4*w = -x + 268. Is x\/(-2)*(-22)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501816 by -17922.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5681, -3682, -355, 4300, 10283?\nAnswer: 17594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 2, p: 1, u: 1}. Give prob of picking 1 u and 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146.9 - 1147. What is the third biggest value in c, -89, -1\/3?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -128. Differentiate -2*u**3 - 7*u + 6*u**q - 8*u**3 - 19 wrt u.\nAnswer: -12*u**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65225363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 4*n**3 + 12 + (4*n - 4*n - 3*n)*(2*n**2 - 4*n**2 + n**2).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49403.\nAnswer: 127, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 472 = -7*w - 2*k, -4*w - 4*k + 368 = 0. Is w at least 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -21, 1 in increasing order.\nAnswer: -21, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -29. Let d = 17 + k. Which is the closest to -2\/3? (a) d (b) -3\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(j - 4 + 4) + (-5*j + j + 2*j)*(7 - 1 - 14) to p*j + z and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + -10 - 9 - (-23)\/7. Which is the nearest to 0? (a) 2\/17 (b) -2\/21 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 3*f = -203 - 187 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878470723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-9))**(-36)\/(w**(-6\/11))**(2\/41))**(-3\/17) assuming w is positive.\nAnswer: w**(-438408\/7667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 10*y + 0*y**4 + 0*y**3 + 0*y**2 + 17 - 1\/230*y**5 + 1\/345*y**6. Let o(d) be the first derivative of k(d). Factor o(u).\nAnswer: 2*u**3*(u - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 14*y**2 - 13*y + 4. Let t be w(13). Find the third derivative of 13*o**2 - 5*o**3 + 7*o**4 - 5*o**2 + 9*o**3 + o**t wrt o.\nAnswer: 192*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58e70 (base 16) in base 2?\nAnswer: -1011000111001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 32*q + 166. What is the remainder when 1283 is divided by j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566.7387 rounded to the nearest ten?\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.0763 and 457.\nAnswer: 4604.8691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z**2 - 11*z + 3. Let v(p) = p**3 + p - 1. Determine a(t) + 3*v(t).\nAnswer: 2*t**3 - t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/773 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {z: 11, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f = 4*n + 66*f - 5, 3*f - 9 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/13 + 4144*g**3\/13 - 3219888*g**2\/13 + 1111934656*g\/13 - 143995537952\/13 = 0?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*n + 28295 + 15105 = 0 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t = 1454 - 194. Suppose 2*f + 0*f - 4 = 0. Suppose -f*s - 5*k = s - t, -19 = -2*s - 3*k. Solve 0*n = -n + s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, p: 3, n: 3, z: 1}. Give prob of picking 1 z and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d + 4. Let t(w) = w. Let p(r) = -l(r) + t(r). Let c be (-4 - -3)*0 - -3. Let j be (-15)\/4 - c\/12. Determine p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14781708, -29563425, -44345138, -59126847?\n\"Answer: 2*v**2 - 14781723*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*z + 161 = z, -116 = -3*q - 4*z. Suppose 3*d = 5*f - q, -14 - 1 = -2*d - 5*f. Let a = 70 + -76. Sort d, 4, a in ascending order.\nAnswer: a, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k + 9. Let m be d(7). Let j be (6\/(-18))\/(2\/(-48)). Suppose -3*t - 2*c = -3, j*c - 3*c + 15 = 0. Is t not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 14. Calculate the lowest common multiple of 22 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8906*w - 8235*w + 17147*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1381795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/4043 + 97042\/20215. Calculate the common denominator of d and 51\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.9 - 14.9000154. What is n rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -299*u**2 - 106*u + 1?\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -2\/17, -235?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-7)*(-462)\/(-396)*3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(5397\/(-2570)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14686\/3 - -719596\/147. What is the common denominator of -23\/791 and s?\nAnswer: 5537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 172 and 5331\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1111221\/361 less than -3078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 + 4991\/55. Suppose -2*x = 5*u + 185, 3*u - 6*u + 177 = -2*x. Let s = x + k. Is s bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 0.2. Which is the closest to 2\/9? (a) k (b) -2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55)\/(sqrt(55)\/(-2*sqrt(11))) + 1).\nAnswer: -8*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-92824)\/(-246) + 5\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177928 to the nearest one thousand.\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-10\/7)*l*l*l)*l*l**(-8) assuming l is positive.\nAnswer: l**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 6842?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4704 divided by 1568.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:45 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6685842)\/(-304668) - (-4)\/18. Let h = p - 2\/8463. What is the common denominator of h and -1 - (-2 - 61\/10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4466*u**2 - 4466*u**2 + 41 + 64*u - 4*u**3 - 64*u.\nAnswer: -4*u**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*v - 5*v - 51 = 0, -c + 2*v + 19 = 0. Calculate the smallest common multiple of c and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2657 + 2659 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4526 = -5*r - 4539, -5*r = q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 15. Let p = u + -11.6. Which is the smallest value? (a) -0.2 (b) p (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 141*r - 3520. Calculate u(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r. Let v(t) be the second derivative of -t**4\/4 + 5*t**3\/6 - 6*t. Let u(d) = 4*d**2 - 6*d. Let c(a) = 5*u(a) + 6*v(a). What is c(z(m))?\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251070?\nAnswer: 2, 3, 5, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, -5 in ascending order.\nAnswer: -13, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 22 = 172 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-4) - (-7)\/(-14). Let u(k) = -5*k - 30. Let c be u(-7). Solve 5*b - 2 - 2 = -4*m, -c*b + f = 2*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3 + 8*h**2 - 68*h + 83. Is t(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654058863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -4 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 15*t + 45 = 0. Sort -882, t, 1 in ascending order.\nAnswer: -882, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/11 + 214*c**3\/11 - 1194*c**2\/11 - 1846*c\/11 + 2828\/11 = 0. What is c?\nAnswer: -2, 1, 7, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3\/8, 2, -0.1, 366?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48628371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11457 and -4?\nAnswer: 0.45828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nywyssz. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (23 - 11 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 6:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8375 or 8377?\nAnswer: 8377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14\/9, -0.5, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 7) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(3 + sqrt(99) + 1)**2 + ((sqrt(99) - (sqrt(99) + 2))*6 - (3*(2 + sqrt(99)) + sqrt(99))).\nAnswer: -708 - 156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43951811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30226.5 times 9?\nAnswer: -272038.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 176 = 0. Suppose 2436 = 3*j + 25*j. Let a = y - j. What are the prime factors of a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. List the prime factors of (-198)\/(-27) - 1\/b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -0.2, -3\/4 in ascending order.\nAnswer: -19, -5, -3\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + 3*n**2 - 3*n**2)*(-50 + 57 - 45) to o + u*n + b*n**2 and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1435, 1, -17, -5, 45.\nAnswer: -17, -5, 1, 45, 1435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-21))\/(11 - (-803)\/(-77)). Let p(y) be the first derivative of -10*y - 6 + s*y**2. Determine p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*y**4 + 58*k*y**3 + 76*k wrt y.\nAnswer: 12*k*y**3 + 174*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 10*r. Suppose r*d + 3*d = -5*j + 15, -3*j = -d - 9. Solve 2*w + 0 - 4 = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-7)*-1)\/((-1)\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - 82*x - 431. Determine m(-17).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**5\/60 - t**4\/12 + 11*t**2. Find the second derivative of z(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - -52?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w*x**6 + 2*w*x - 55*x**6 + 10*x**2 wrt x?\nAnswer: 120*w*x**3 - 6600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413 - -408. Suppose -12 = 3*z, 0 = 5*k - 2*z - 3*z + 20. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530815051 + -362.84?\nAnswer: 530814688.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 - 5\/6*-1. Suppose f - 4*u = 6*f + 4, -3*f - 2*u - 2 = 0. Suppose -2*h = 5*z + 10, 5*h + 4 = -f*z - 2*z. What is the nearest to h in a, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 992 or 0.2?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 22*v - 3. What is f(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*z - 24*j + 21*j, -3*j + 3 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-6)\/(-2) - -66 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-21)*-6*(-2)\/6. Suppose 13*r = 5*r + 16. Let h be (-1)\/(-3)*(-3)\/5. Which is the closest to -2\/7? (a) h (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 5*n - 20*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5046521 (base 7) in base 5?\nAnswer: -123201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*z**5 - 42*z**2 - 3.\nAnswer: 12060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)*(-34)\/(-68). Solve 5*i + 2*s + 14 = m, 8 = -4*i - 2*s - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**3 + 3*f**2 + 3*f - 7. Give r(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26310 by 6.\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2047 - -16353\/8. Find the common denominator of k and -21\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41070974177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2224*d**2*m - 9061*d**2 wrt m?\nAnswer: -2224*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 8. Let w = 15 - 7. What is the remainder when w is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2228 = -17*c + 25737. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/6, 1, 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248635 is divided by 740?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000891362 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -68680 != -66505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-1 + (12 - 12))) + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23853.61 days to seconds.\nAnswer: 2060951904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, s: 1, n: 2, r: 3, a: 4, u: 6}. What is prob of picking 1 g and 1 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.4889cm in kilometers?\nAnswer: 0.008514889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146404392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 22*j + 126. Let m be h(-6). Let l be (-2)\/3 - (m - (-13)\/3). Which is the closest to l? (a) 0.2 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*r - 204 = 1055, -g - 4*r + 305 = 0. What is the remainder when g is divided by 122?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 40537212?\nAnswer: -40537212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 0.4 (c) -4\/5 (d) 17 (e) 1590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/1383 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -293 - -292.9354. Let u = j + -4.9354. Which is the closest to 0.2? (a) 3 (b) -1 (c) u (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-297))\/((-10)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4826 or 4824?\nAnswer: 4824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3769*-9.\nAnswer: -33921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let a(p) = -2*p + 5. Let i(t) = t - 2. Let j(w) = -4*a(w) - 10*i(w). Let z(d) = -10*d. Let k(g) = 16*j(g) - 3*z(g). Give s(k(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = 3*i, -5*i + 2*v = -v - 12. Suppose 4*z = i + 29. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9565 + -9501. Solve 244 - n = 30*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41*-52*(-5)\/20 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 ddddddddvddddddvdddd. What is prob of picking 2 d?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 5*c + 6*c + c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577874, 2311545, 5201008, 9246269, 14447334, 20804209?\nAnswer: 28316900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 22*d + 25. Let o be g(21). Suppose -44 = -4*h - 0*h. Suppose -5*b - h - 9 = 0. Sort -1, b, -2, o in decreasing order.\nAnswer: o, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(7*m - 9*m**2 - 7*m) + m**2 + m**2 - 4*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1577589ns in hours?\nAnswer: 0.00000000000087715525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-5)\/16)*6555\/15732*72\/(-15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 6*c - c, 4*c + 3*k - 44 = 0. Suppose -11*m = -7*m + 24. Let r(i) = i**2 + 5*i - 3. Let g be r(m). Solve -7*y + g*y + c = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2\/3*d**3 + 0*d + 0*d**2 + 5. Let b(x) = -2*x**2. Calculate z(b(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14400 and 2500.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2518804 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.101 and -3.24804.\nAnswer: -8.34904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42468 - 33159 + 237*b - 75*b.\nAnswer: 162*b - 75627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from {o: 2, k: 4, t: 2, e: 3, j: 2, s: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 255?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -556 - -833. Factor -4*t**2 - s + 301 - 3*t - t.\nAnswer: -4*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -5)\/(3\/(-4)). Which is the third smallest value? (a) 2\/9 (b) l (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7)*3 + 2*sqrt(7) + -1)**2 + sqrt(21)\/sqrt(3)*-1 + -5*(sqrt(7) + 0))*6.\nAnswer: 12*sqrt(7) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {v: 1, p: 4, w: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*t**4 + b**3*t**3 - 7*b**3*t**2 + 7*b**3*t + 44*t**4 wrt t?\nAnswer: 24*b**3*t + 6*b**3 + 1056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497306.\nAnswer: 2, 19, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-24)*(-14)\/(-189)*-3\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 49*a + 48. Let t be f(-17). Is -2 + 3 - -1 - t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33400653 and 3861?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88\/265 - -7\/53. Which is the third biggest value? (a) -2\/9 (b) -1\/3 (c) 2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/16 - 25\/200. Let m(y) = -y**3 + 6*y**2 + 2*y - 6. Let h be m(r). Is h\/((-1)\/(5 - -2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4863 rounded to 2 decimal places?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 31*b + 63. Let l be q(-33). Put -1, l, 15, 3 in increasing order.\nAnswer: l, -1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = y + i + i, 0 = 2*y - i + 95. Is (30\/y)\/((-2)\/48) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 427, 2, -3.\nAnswer: -3, 2, 37, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (4 + 17 + -31 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*t + t. Suppose 0 = -x + t*d - 25, -d - d = -2*x - 10. Let m(s) = 2*s**3 + 4*s**2 - s. Let l be m(-2). Solve l*f = -x*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 not equal to 1846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1162171281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 19*d**3\/6 - 12*d. Let z(k) = 9*k. What is -6*y(w) + 13*z(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and 0.4.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 - -3 - (-6)\/(-2). Let d = 17 + 3. Suppose d*i - g*i = -105. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24809844 less than -24809841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t)*((-3 + 2 + 3)*(1 - 1 + 2) + 0 + 2 + 0)*(616*t**3 + 32*t**4 - 616*t**3).\nAnswer: 384*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 198*l - 10427. Let o be t(53). Solve -o*w - 97 = 37 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.87 + 0.13. Let u = -54.645 + 76.58. Let i = p - u. Round i to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*v = 6, 3*x - 3*v - 18 = -0*v. Suppose -1545*f + 8 = -1546*f. Put 4, 1, f, x in increasing order.\nAnswer: f, 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z + 15*z - 32*z - 3 + 6*z - 5. Give i(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times 0.252?\nAnswer: 7.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from {i: 1, k: 1, c: 5, d: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17427405 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2718847 is divided by 9815.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 12*z**4 + 18*z**3 + 8*z**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c - 1. Let d be n(5). Suppose d*b = 5*f - 5, -f - 2*f + 3 = -5*b. Let j(h) = 212*h + 7. List the prime factors of j(f).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37500341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11456903 or -11456901?\nAnswer: -11456903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebtlbtolfbloftfttlt. What is prob of picking 2 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 - 232. What is the remainder when o is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/9 + 1011629*w\/9 + 2023262\/9 = 0. What is w?\nAnswer: -2, 1011631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1186840 by 59.\nAnswer: 1186840\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523368242.\nAnswer: 2, 261684121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5 = 5*u, -5*u = 5*h - 2*h + 9. Let l be (u\/6)\/(-1) - (-55)\/(-10). Which is the nearest to 1? (a) -11 (b) -2 (c) -3\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k. Let s be (-6)\/9*495\/110. Let l = -13 + 9. Let d be ((-3)\/2)\/s + (-2)\/l. What is y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -46\/3453?\nAnswer: -46\/3453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 171779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*a - b + 147, -137 = -5*a - 4*b. Suppose n - 140 = -a. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110001 (base 5) to base 6\nAnswer: -225412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112435 - -112663.788. Let f = o - 229. What is f rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79969464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131\/12 - 32\/3. Let y = 1041 - 1041. Factor y - 1\/2*r + t*r**2.\nAnswer: r*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 5 + 0*y**2 + 0*y**3 + 5\/8*y**4 + 0*y. Find g such that m(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b. Let i(k) = 63*k**2. Calculate i(q(d)).\nAnswer: 4032*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -1000101?\nAnswer: 1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)\/i*i*i\/(i*i**10\/i) assuming i is positive.\nAnswer: i**(-119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7830760 (base 9) to base 3.\nAnswer: 21221000212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -228*x + 7650. Determine p(34).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*1313\/78*-50 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 5*q = -167998, 0 = 4*i - 2*q - 223988. Let o be -2 + -2 + 8 + i. Suppose -o = 6*x - 8*x. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v - c, 43 - 15 = 4*v - 5*c. Suppose v*a = 4*a - a. Let z(o) = -4*o - 3270. Let p be z(a). What is p rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -29054?\nAnswer: -29055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k**2 + k - 2. Let p be s(5). Let f be (-3)\/27 + p\/72. Suppose -5*j + f = 0, -4*u - j + 4*j = -50. Solve -5*w = -u - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -109\/4 (c) -0.3 (d) 2\/13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 9. Suppose -2*n - y = -6*n. Suppose 0*c + 6 = -2*j + c, -j + 5*c + 15 = 0. Sort -3, j, n in descending order.\nAnswer: n, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 4. Let r be c(-9). Let t(f) = 20*f**2 + r*f**3 - f**3 - 16*f - 5*f**2 - 3*f**3. Let w be t(-16). Which is greater: w or 6\/61?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*a + 23, 13 = -314*o + 313*o - 5*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/3 + (7 - (-220)\/(-30)) + 0. Solve u*h - h = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 1088*g**2 - 2072*g**2 + 984*g**2 + 32*g.\nAnswer: -2*g**3 + 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.02, 2\/23, 0.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51309 and 30150.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -598*n + 2453. Calculate w(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 5*b + 3*b + (b - b - b)*(13 + 12 - 106) to the form s*b + g and give s.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2069471 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**4 - 45*w**3 + 55*w**2 + 45*w - 50 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133343132 to the nearest integer?\nAnswer: 11547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p + 226*p - 2*p**2 - 25*p - 4*p + 454*p.\nAnswer: -2*p**2 + 561*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*b - 2*a - 74 = 179*b, 0 = -b + 96*a + 3172 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 2*d**3 + 0*d)*(-d + 4*d + d) - d**4 + 7*d**4 - 3 + 5.\nAnswer: -2*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 5, 0.4, -1\/5 in descending order.\nAnswer: 5, 0.4, 2\/27, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from zyuzzzzzuzzppzzyzzz?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.97 and 6.97?\nAnswer: 10.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -19490?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 16. Suppose b + 47 = 4*r, -b - 38 = -3*r - 3. Calculate the remainder when r is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let l(v) = -29*v**2 - 8*v**2 - 33*v**2 + 147*v**2. What is l(f(m))?\nAnswer: 77*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1656610 and -55\/20210642.\nAnswer: 101053210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 72 = -3*t. Suppose 3*m = -3 + t. Suppose -f + 2*v = f - 32, -88 = -m*f + v. What is the lowest common multiple of 8 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 7*a + 5. Let o be v(5). Let u be (-10)\/50*o\/(-4). What is the closest to u in -1, -0.2, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (-8 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30912147 divided by -55899\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 0 + (-1*sqrt(76) - sqrt(76)) - ((sqrt(76) - (sqrt(76) + sqrt(76) + 0 - sqrt(76) - sqrt(76))) + 3 + -3))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -235 + -315746?\nAnswer: -316203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0517 * -0.08\nAnswer: 0.004136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -3.5. Let d(f) = -6*f**2 + 21*f. Let w be d(6). Let u be (-60)\/w + (-68)\/66. What is the closest to 0 in -1\/4, m, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2649 not equal to -2648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3498\/209*3458\/(-546)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 1, -2, -1\/3, 4 in decreasing order.\nAnswer: 4, 1, -1\/3, -2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5262937369 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1392039\/246380 + 2\/61595. Let n be (9\/(-300))\/((-50)\/8). Let q = -13173\/10000 + n. What is the common denominator of v and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by ((-6)\/33 + 912\/418)\/(4\/1006).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 7*m + 5. Let o be g(-7). Let q(u) = -5*u**2 - 39*u + 59. Let t be q(-9). Solve z + 23 = o*a, -a - t = 3*z - 0*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0.4, 1\/7, 4\/7, -2\/37, 0.3 in decreasing order.\nAnswer: 39, 4\/7, 0.4, 0.3, 1\/7, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2419 + 2422. Let z(w) = -14*w - 1. Calculate z(r).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 - 13*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + -2.79. Let o = -4 - -2. Which is the nearest to o? (a) h (b) -2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 855, 0.3 in increasing order.\nAnswer: -4, 0.3, 2, 855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3651636 or -3651640?\nAnswer: -3651640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 536 + -507.9. Let s = -27 + u. What is the second biggest value in s, 3, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2448) + 1 + 3 - (sqrt(2448) + sqrt(2448) + 6*(sqrt(2448) + -2 - sqrt(2448)) + (sqrt(2448) + 1*sqrt(2448) + sqrt(2448))*-1))**2 + 5.\nAnswer: 624*sqrt(17) + 9966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43316*r**3 + 32139*r + 2?\nAnswer: -259896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x + 2*x**2 + (1 + 2*x - 1)*(-2*x + 3*x + x) - 4*x**2 + 3*x**2 - x**2 - 3*x**2 - 5 + 5.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8970, 18063, 27146, 36213, 45258, 54275?\n\"Answer: -t**3 + t**2 + 9097*t - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 2 x when four letters picked without replacement from xxcxxxxxxrrxyxxcxm?\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*d = -0*b - 550, -2*b - d + 282 = 0. Suppose 190 = c - b. Does 33 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/84 and -11\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13644 - 32?\nAnswer: -13676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-374.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-18))\/(6\/(-4)). Let c = x - -20. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13*(-5)\/650 - 4\/(-10). Which is the closest to -2? (a) 2\/5 (b) 3 (c) t (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -123. Let h be (-280164)\/(-34) + u\/221. Let a = h + -4831. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30881?\nAnswer: 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w. Let o(h) = -376*h - 381*h - 217*h + 106*h. Calculate o(j(r)).\nAnswer: 3472*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4\/5*y**2 + 2\/5*y**3 + 16\/5 - 8\/5*y = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3616143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -1 - (60 + -78 + -24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 758 + -8\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2*a + 2. Let o be n(-2). Let f be (4 - 2) + (o - 1). Solve 3*u + f = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/48 - y**3\/8 + 9*y**2\/4 - y. Let j(k) = 0. Calculate k.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 7. Calculate the remainder when q(5) is divided by ((-66)\/44)\/(9\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Suppose w + 50 = 6*w. Let p = 20 + w. Let h(v) = 17*v + 18*v - p*v. Calculate b(h(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s + 2*b + 2 = 0, 0 = -5*s + 5*b + 5. Suppose s*y = 3*y - 24. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -27*n + 61. Let r(j) = -9*j + 20. Let f(a) = -4*g(a) + 11*r(a). Let x(z) = 3*z - 8. Let c(h) = 2*f(h) - 7*x(h). Determine c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -419663255*c**2 - 511*c + 181081 wrt c.\nAnswer: -839326510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 887911*h**4 - 56*h**2 + 144.\nAnswer: 21309864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, -0.3, 1, -0.2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -29. What is the remainder when 104 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-7))\/(8\/14). Let z be 1 - 1*(1 + 0). Let j = z + 2. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -518 + -3?\nAnswer: -51b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/2 + -55 - 8. Which is bigger: -524\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 4*o**2 - 5*o + 4. Suppose 2*k - 2*j - 8 = 0, 3*k + 0*j - 14 = j. Let n be b(k). Let x = n - 0. What is the highest common divisor of x and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1542330, 6169329, 13880996, 24677331, 38558334, 55524005, 75574344?\n\"Answer: 1542334*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -382694 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15594, 15656, 15718, 15780, 15842, 15904?\n\"Answer: 62*g + 15532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2662 and 3388?\nAnswer: 37268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 30. Suppose n*s - 32 = -2*o - 2*o, -5*s - 44 = -2*o. Solve 0*h + 3*h - 5*p = 9, -4*h = p - o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xybbx. Give prob of sequence xyb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 46962975.\nAnswer: 93925950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1918 - 1066. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1. Let n(m) = 18*m + 3. Let r(l) = -2*l**2 - 143*l - 1017. Let o be r(-8). What is o*n(h) - d(h)?\nAnswer: -h**2 - 18*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 7*j + j**3 - 2 + 2*j**3 - 12*j**4 - 5*j**3 - 9*j as x*j**2 + c*j**3 + l*j + k*j**4 + p and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 260, -50, -5, 3.\nAnswer: -50, -5, 3, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5.49, -1 in increasing order.\nAnswer: -5.49, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 7*k + 4. Let s be z(4). Let f = -2 - s. Let v be f\/(-15) - 4\/6. Solve -4*c = v, -5*c + c = -4*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 4. Let f be y(-6). Let p = -1.93 + -0.07. Which is the closest to f? (a) 1\/8 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*27\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-168)\/98*(-1)\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-45)\/25 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23303864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644966595?\nAnswer: 5, 47, 11255177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811516 is divided by 1184.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 320*y**6 + 2*y**3 - y**2 - 555*y?\nAnswer: 38400*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -403.\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*d + 778*d + 788*d - 2369*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -511 - 1?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 - ((1 - 1) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -180034?\nAnswer: 180033.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let f(i) be the third derivative of -i**5\/30 - i**4\/8 - 21125*i**2. What is f(w)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let o(h) = -107*h. Determine y(o(v)).\nAnswer: -107*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**5\/10 - 3*j**4\/8 + j**3\/2 - j**2\/4 + 14. Factor m(s).\nAnswer: s*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((6\/8)\/((-12)\/(-2)))\/1. Let y = -4 - -8. Let w = -4 + y. Which is the third biggest value? (a) u (b) -3\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from kkkvvvk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oioootooiioii. What is prob of sequence iit?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/8)\/(y*y**(2\/13))*(y*y\/y**(1\/2)*y)**(-4\/3) assuming y is positive.\nAnswer: y**(-1517\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*y = -12, -1 = 2*r + 3*y - 9. Suppose r*i = -0*i + 276. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*x - 17 = -0*r, 0 = 2*x + 6. Let i = 2 + r. What is the nearest to -2 in i, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -279*t - 4938. Let s be m(-18). What is the highest common divisor of s and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-13)\/3)*0. Suppose -16*c + 17*c - 9 = w. Suppose -6 - c = -5*j. Solve 4 = -j*k + 2*k + t, -k - 3*t = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*h*s**3 - 2974*h*s - h - 119729*s**3 wrt h?\nAnswer: 11*s**3 - 2974*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z**2 + 106*z - 144. Let a be b(-10). Let l(c) = 15*c**2 + 60*c. Determine l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 less than 13203\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let j(a) = 21*a + 4. Determine j(g(t)).\nAnswer: -42*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3 + 0*v + 0*v**2 + 21\/10*v**5 - 1 - 15\/8*v**4. Factor i(l).\nAnswer: 3*l**2*(l - 1)*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e892 + 3090?\nAnswer: -b802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -29, -2, 5, 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -866 - -1255. Let z = y + -393. Which is the third biggest value? (a) z (b) -0.3 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + (sqrt(144) - (-2*sqrt(144) - sqrt(144))))*3)\/(sqrt(98)*-2 + sqrt(1250)).\nAnswer: 81*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 + 1*((-99)\/(-9) - 42))\/(10\/(-8))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -9 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from bbqobqblo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 271730214.7.\nAnswer: 271730215.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(21\/6) + 45\/(-20). What is the closest to 0 in -1\/3, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5376638 - -1716538. Let f = m + 3660128.99989. Let h = f - 29. What is h rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a millennium?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-80)\/(-35))*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 24. Suppose -f = -h + 3. Let o = 135 - 119. Solve i - f*i - o = -5*r, 3*r = -3*i - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 246, 323, 400, 477?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 23 - 21*t + 5*t - 7 - 24*t. Suppose 172*z - 165*z + 21 = 0. Is f(z) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -50872.\nAnswer: -254360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -162, -269, -356, -417, -446?\n\"Answer: f**3 + f**2 - 131*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h**2*h)\/h)\/h*h)**(14\/3) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 222\/19 not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -0.5, -3, -1866, 3.\nAnswer: -1866, -3, -0.5, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -166, -245, -322, -397, -470, -541?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.66 + 11.49. Let l = 3.83 - t. What is the nearest to 1 in 3\/4, -38\/7, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/40530 and -113\/70?\nAnswer: 40530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 9*c + 12. Let s be r(-10). Let f = 19 - s. Put f, -2, 4 in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1093736 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -12611602?\nAnswer: 12611602.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(2800) + -3 - (2 + sqrt(2800) + -1)) + 5)*-4 + 3)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.74 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318218 is divided by 1904.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*j**3 - 2*j**2 + 629862*j + 153880010?\nAnswer: 69*j**2 - 4*j + 629862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/5)*i*i**(1\/3)*i)\/(i**(1\/4))**(-14) assuming i is positive.\nAnswer: i**(217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/((-12)\/(-12)))\/((-14)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 522 and 1690308.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122809, 245617, 368425, 491233, 614041, 736849?\n\"Answer: 122808*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041762113 rounded to 6 decimal places?\nAnswer: -0.000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(r + 0 + 0)*(0*r + 5*r - 3*r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 9 + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from zillillzi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144678403 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -5)\/(12\/18). Suppose 0*a = -5*j + a + 12195, 0 = 2*j + w*a - 4861. Suppose -5*y + 2810 = 5*n, 5*y - 163 = 4*n - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -383*k**3 + 21*k**2 - 13*k - 104. Let v(n) = -96*n**3 + 5*n**2 - 3*n - 23. Give 2*p(r) - 9*v(r).\nAnswer: 98*r**3 - 3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-4) + 3*3. Let f be ((-7)\/56)\/(2\/2)*2. What is the third biggest value in t, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -46*o - 90. Give f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = i - 12. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100111 - 2?\nAnswer: -1100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*12\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 28240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13204 + 13364. Calculate the lowest common multiple of 390 and w.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17660 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*l**3 - 11*l**3 - 78*l**3.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {g: 1, e: 1, n: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c**2 - 12*c**3 - 49*c**2.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -20. Let f = 268 - 1077\/4. What is the closest to -1 in f, 0, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -704455*r**4 + r**3 + 15*r - 628193.\nAnswer: -8453460*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qittnitnnytvt. What is prob of picking 1 v and 2 n?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8250)\/(-150) - (10 + 0). Solve 3*n + q - 11 = -5*z, -4*z - 26 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*r - 2*r + 0*r)*(3 + 3 - 5) - 4 + 4 - 2*r + (1 - 1 - 2*r)*(-1 + 6 + 1))*(-1 - 3 + 3 + (2 + 0 - 5)*(-2 - 1 - 2)) as g + s*r and give s.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of ((-11)\/(-12)*-3)\/(2\/(-1000))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196632 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8 and -73\/656188?\nAnswer: 1312376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 8*d - 8. Let j be c(7). Let h be j\/(1 - 2)*-1. Let i = h - -9. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 31. Suppose -m = -5*d + 3*o - 2*o, -o - 1 = -d. Solve w = -d + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -37. Calculate the remainder when 62 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 23) + -4 - -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:44 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*r - 614*r = -5*x - 6, -2*x = 2*r + 12. Let o(d) = d**3 + 5*d**2 + 9*d + 12. What is o(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -22*z**2 + 14*z. Let j(s) = 15*s**2 - 9*s. Let m(t) = -2*t**3 + 16*t**2 + 12*t - 91. Let y be m(8). Calculate y*u(p) + 8*j(p).\nAnswer: 10*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 231425, 462898, 694417, 925982, 1157593?\n\"Answer: 23*g**2 + 231404*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*n + 3*n - 31, -d - 2*n + 15 = 0. Let r = 83 - -291. Calculate the remainder when 5\/(-15) + r\/6 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*i**2 + 61*i**2 + i + 56*i**2 + (-3*i + 5*i - i)*(3*i - 3*i - i) to f*i**2 + h*i + y and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + i + 5786, w = 2*i + 2884. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 38 + 0*h + 10\/3*h**3 - 2*h**2 + 5\/8*h**4 - 1\/12*h**5. Determine n so that q(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3323553?\nAnswer: 3, 1107851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 0.1.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3404 or 0.436?\nAnswer: -0.3404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1218885022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630263035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i + 1284*i = 385*i - 920*i + 92855 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93911 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3 + 2)*-1. Suppose 4*g - 45 = -5*v, 2*g + 2*g - 20 = 0. What is the third smallest value in v, z, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**3 - 1\/4*d**4 + 0*d**2 + 0 + 28*d. Let x(m) = 5*m**2 - 8*m**2 - 4*m**2 + 0*m**2. What is x(b(k))?\nAnswer: -63*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -2.09. What is the closest to b in 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by -1.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*t - 94. Let f be (-2910)\/(-225) + -13 - 1291\/(-15). Differentiate 30 + t*y - 7 - f*y wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5 - 20*a**4 + 10*a**3 + 40*a**2 - 5*a - 20 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 32?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24777288 to the power of 1\/2, to the nearest integer?\nAnswer: 4978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*f + 113 = -79 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/48 + (-8734)\/(-40). Let f = 219 - g. Factor 0*a**3 + f*a - 1\/5*a**4 + 3\/5*a**2 + 0.\nAnswer: -a*(a - 2)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 8*p**2 + 6*p - 1. Let j be d(5). Suppose -u + 0*u = -49. Let o = j - u. Calculate the highest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032050328.09 take away 0?\nAnswer: 1032050328.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80452\/9 - (0 - (-1)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from kgkkwjjkjwkujgzjk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -525731, -1051476, -1577221?\n\"Answer: -525745*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41334 (base 5) to base 6.\nAnswer: -20331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.3 + 0.3. Let r = u + 19.93. Let v = -0.0699896 - r. Round v to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-935)\/(-220))\/(1\/(-4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 40. Calculate the least common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11035.\nAnswer: 4\/11035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(5*1*252\/(-210))*37.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/8 + 2385\/60 and 16\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 13*d = 0. Let b be -1 + d + (2 - 2). Let z = b - -33. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 231 (b) 65 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21115 (base 11) in base 14?\nAnswer: b2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*b - 93 = 0, 2*p + b - 144 = -3*b. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((5*sqrt(500)*1)\/(1*(3*sqrt(256) - sqrt(256))) + 2))**2.\nAnswer: 25*sqrt(5)\/4 + 4149\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 - 2*a**2 + 2*a - 1. Let o be v(1). Suppose o*g - 8 = -g. Factor 3*q**g - 2*q**3 + 5*q**3 - 3*q - 2*q**4 - q**4.\nAnswer: -3*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 166, 143, 122, 109, 110?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + (-6 - (10 - 21)) + -59 + -46?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -15142405222?\nAnswer: 15142405220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - i**3 - 4*i**3)*(-248*i - 322*i + 179*i).\nAnswer: 782*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4983245*g**3 - 24839*g**2 + g + 1?\nAnswer: 29899470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -329 in 3, 4, 1\/4, -2\/7, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/3 + 2*p**3\/3 - 4*p**2 - 4*p. Factor a(w).\nAnswer: 4*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42634403.51 - 109.9.\nAnswer: 42634293.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52*2\/6*3. Let h = -36 + d. Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5223043288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/2 or -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roon when four letters picked without replacement from oonmdddormoomdrm.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1081 - -1518.2. Let c = -422.216 + k. Let g = 15 - c. Round g to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 0. Suppose -2*u = -t - 4. Suppose 4*l + c = -3, l + 2*c + u*c + 12 = 0. Solve r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 731 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 17*j + 17*j - 46665564. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let s(l) = -l**2 + 6. Suppose 0 = -2*d - 6*r + 2*r + 4, -5*d - 4 = -4*r. Let k be s(d). Solve -2 - k = b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, 16 in ascending order.\nAnswer: -3, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 23, 40, 75, 134?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 1343 + 7*v - 1343 - 8*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20\/47, -1.4607.\nAnswer: -4, -1.4607, 20\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96541 bigger than 21914572\/227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 15) to base 7.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 59869, -5.\nAnswer: -5, 6, 59869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/21 and 97\/2664?\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -2 + sqrt(20) - (sqrt(80) + -1)*4*1.\nAnswer: -14*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1104326130 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2785+-4\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 80, 121?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-51))\/(-1))\/((-48)\/(-72)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 2*i**2 + 1\/15*i**5 + 2\/3*i**4 + 0*i**3 + 0*i - 2\/105*i**7 - 2\/15*i**6 - 4. Factor v(r).\nAnswer: -4*r*(r - 1)*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 3, w: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340 divided by 4.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.8832 nanograms in grams?\nAnswer: 0.0000004878832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76138552 rounded to 2 decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -165*h + 15. Suppose -2*y + 23 = -u, -4*y - 2*u = -y - 31. Let f be t(y). What is f rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/14 + (-8)\/6. Let y(z) = z**3 - z**2 + 2. Suppose -2 - 6 = 5*h - 2*j, h - 2*j = -8. Let n be y(h). Which is the biggest value? (a) -1 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 3*l + 3. Let b(c) be the second derivative of -c - 9\/20*c**5 + 7\/6*c**3 + 0*c**4 - 7\/2*c**2 + 3. Give -6*b(d) - 14*q(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 10.9. 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 53002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6887 + 6879. Let j(o) = 10 - 2*o**3 + 3 + 17*o**2 + 4*o**3. What is the units digit of j(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/15 + (-427)\/(-183). Let d be (-23)\/(-4) - (-2)\/8. Put -5, f, d, 5 in decreasing order.\nAnswer: d, 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnbnn. What is prob of sequence nnn?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {o: 5, l: 2, r: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 16 = -10*k. Let s(j) = 17*j - 18. What is the units digit of s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -29\/257660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 11020\/(-435)*30\/(-20)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 6387?\nAnswer: 108579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*v - 28. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.9228, -11\/5, 6 in ascending order.\nAnswer: -11\/5, -0.9228, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-70)*14\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6302 + -37663\/6. Let b = -11149\/6 - -1854. Find the common denominator of p and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 12. Suppose 9*n - x = 10*n. Let j(u) be the first derivative of -u**4\/4 - 2*u**3\/3 - u**2\/2 - 4*u + 1. Give j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 38. Let f = -6 + k. Suppose 2*m - 1 - 1 = 0. Sort 2, m, f in descending order.\nAnswer: 2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/36)\/(v*v**31\/v*v)*(v\/v**(7\/3))**(-2\/31))**(-3\/11) assuming v is positive.\nAnswer: v**(3235\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*j = -10*r + 66, 3*r - j - 38 = 0. Solve r*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.8 + -36.2. Let q = 43.3 + k. What is the third biggest value in -3\/8, q, 10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2645*d**2 - 7*d - 11. Let u(t) = -20*t + 256. Let p be u(13). Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -1)\/1*(-3)\/(-8). Suppose -j*c + 4*d = -9, -3*c + 8 = -2*c - 3*d. Let n(r) = -1. Let g(o) = o - 8. Determine c*g(h) + 6*n(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 2*y**2 - 2*y. Let h(g) = -821*g**3 - 231*g**2 + 7*g. Let z(m) = -6*c(m) - 2*h(m). Find the third derivative of z(w) wrt w.\nAnswer: 9780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279 - -285. Calculate the least common multiple of 0 + ((-30)\/(-2) - 1) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -13*s**4\/6 - 57*s**2 - 4*s - 23. Differentiate h(l) with respect to l.\nAnswer: -52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -133\/5 (c) -858 (d) -0.3 (e) -2 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 6*v + 6. Suppose -a - 3*g = 31, -2*a + 10 - 37 = -g. Let p be (a\/20)\/((-1)\/5). List the prime factors of s(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72445.6 and -21?\nAnswer: 1521357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**2*x**2 + 140*c**2 + 45736*c*x**3 - 84*c wrt x.\nAnswer: -8*c**2*x + 137208*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuiauuaauaasuibaa. What is prob of sequence aaub?\nAnswer: 49\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = d - 9, 3*d = -u + 8 + 7. Suppose u = 11*y - 9*y. Solve 13 - 4 = 3*w + y*n, 11 = 2*w + 3*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, 1 b, and 1 z when four letters picked without replacement from {z: 1, b: 2, v: 5, o: 2, x: 2, q: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + -7 - -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k - 27*k - 44*k - 2. Let z be x(-2). Let g = z - 47. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 7*p**2 - p + 1. Let m be s(-7). Let z be 1\/5 - m\/(-10). Let i be (2 + -2)*z\/1. Is 3\/4 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-550) + (-63)\/(-210)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25083.9 and 0.5.\nAnswer: -12541.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(37845\/45)*(-2)\/((-2)\/(-1)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -602*d - 46967 + 47890 + 83959 for d.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1250, 1974, 2698?\n\"Answer: 724*z + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a. Let b(g) = -317*g. Calculate n(b(s)).\nAnswer: 1585*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1766 - -1767. What is the nearest to y in -8, 5, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + (21 - 15) + -4 + 0?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -104. Let l = -108 - q. Which is the closest to l? (a) -0.4 (b) 4\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5758957 is divided by 970.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1089023850 + -116526555275\/107. Let o = l + 9379. Let a = o + -11348\/3317. What is the common denominator of a and -73\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368 + -781\/2. Let p = s - -22. What is the nearest to 0.2 in 2\/23, p, -0.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2483*s**2 + 4*s + 5. List the prime factors of x(-1).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let j = 0.4 + w. Let m = 2\/27 + 16\/27. What is the smallest value in -0.1, j, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6) + 1)*-4. Let j = -8 - -8.5. Let l(h) = -h**3 - 5*h**2 + 6*h + 5. Let y be l(-6). Which is the smallest value? (a) j (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94365323 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/11110 and 3\/42218.\nAnswer: 211090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s. Let b(g) be the third derivative of 7*g**5\/12 + 291*g**2. Determine b(r(q)).\nAnswer: 8960*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 12:01 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:38 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 153 = -n + 5*n, 3*n + 4*p = 116. Let y = n - 28. Let f(t) = t + 1. Calculate f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 130, 193, 256, 319, 382?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 3\/5 (c) -8\/11 (d) -52.46 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155988 and 1374180?\nAnswer: 28857780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -51*(-4)\/12*(-9)\/(144\/16)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b**2. Let l(v) = -28395315*v. Give l(r(z)).\nAnswer: 511115670*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582412 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*j**4 + 233*j**3 + 438*j**2 - 48*j + 129480 wrt j?\nAnswer: 900*j**2 + 1398*j + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(-5 + 5 - 2*f)*(1 - 4 + 2)*(-9 - 4 + 11) to x*f + s and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19193.\nAnswer: 17, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 79 (b) 0 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34226130 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4657684 - 603?\nAnswer: -4658387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 2*l, 5*t + 9 = 2*l + l. Solve 5 = -i + l*i - v, 3*v + 15 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28 + -60)\/(0 - 2). Let u = 86 + -9. What is the highest common divisor of u and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 37 + 28. Let n be -1 - (1 + 0\/1). Are n and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, 0.4, -70\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -50*m**2 + 8*m + 12*m**2 + 2 + 40*m**2 - 3. Let q(a) = 6*a**2 + 23*a - 3. Suppose 2*x + 0 = -12. Give x*q(f) + 17*i(f).\nAnswer: -2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12595 + -12564. What is the nearest to -24 in t, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3851895 + -14261895. What is j rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*x**6 - 29298895*b*x**5 + 77762871*b*x**2 wrt x?\nAnswer: 360*b*x**3 - 1757933700*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4194519 divided by 36.\nAnswer: -1398173\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 427 = 3*c + 357, -4*c + 68 = f. What is the remainder when 624 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, -4\/5, 1, -29, 3.\nAnswer: -29, -27, -1, -4\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243) + sqrt(27) + (sqrt(27) - sqrt(972)*-1))\/(-1*sqrt(729)*1).\nAnswer: -14*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1353 - -446491\/330. Let d(z) be the third derivative of 3*z**2 + 1\/33*z**4 + 1\/11*z**3 + f*z**5 + 0*z + 0. Factor d(u).\nAnswer: 2*(u + 1)*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 13) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9576 by 6.\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 163271.3581 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-228)*(-6288)\/(-3668)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n + 5979480 = -51*n. What is n rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 9095592*d + 6894149485872.\nAnswer: 3*(d - 1515932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121503 a multiple of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 90*j**2 - 414*j**2 + 139*j**2 + 96*j**2 + 89*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1961*(-62)\/(-14787)*18\/2?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) + (-3)\/3. Which is the nearest to -2? (a) j (b) 0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvccccckchccv. What is prob of sequence vk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2, -34, 84, 3 in decreasing order.\nAnswer: 84, 3, 2, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 25\/28*v**8 + 0*v**3 + 0*v**6 + 0*v**5 + 0*v**7 + 21\/4*v**4 + 0*v**2 + 300*v + 0. Find the third derivative of n(z) wrt z.\nAnswer: 6000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p + 68 = -41*p. Solve -3*f - 18 = 5*t, -p*t - 4*f - 10 = -0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 2444379666*y**2 + 5*y**3 - 2444379666*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3977*j**2 + 2*j - 7. What is the hundreds digit of c(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/63 - 6\/(-21). Let o(q) = 7*q**2 - 12*q + 80. Let l be o(7). Let f = l - 340. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.7 - -1.3. Let p = q - 12.7. Which is the third biggest value? (a) -5 (b) p (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 3 = -71*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*c + 166*c + 105. Suppose 3*f = 2*f. Put 1, f, c, 3 in ascending order.\nAnswer: c, f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsqj when four letters picked without replacement from {g: 3, s: 2, y: 1, j: 2, q: 3, b: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from yzzvveyns.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1739 by -954.\nAnswer: -1739\/954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -553, -820, -1067, -1288, -1477?\nAnswer: -1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-2)\/3 - 1. Suppose 7*h + 36 = 169. Suppose h = -15*m + 79. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/33)*w*w**(-5)*w*w\/((w\/w**(-3\/2))\/w)*(w\/(w\/w**(-3\/14)))\/w assuming w is positive.\nAnswer: w**(-1103\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 6. Suppose 3*z + 4*j - 43 = 14, 95 = 5*z + 5*j. Let x = z - 23. Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-9)\/(-18) + 15\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -557*p**2\/2 - 356*p + 516. What is the derivative of s(g) wrt g?\nAnswer: -557","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*h + 9120 = -181*h. Suppose 2*v + 15*i - 20*i - h = 0, 5*i = 4*v - 1130. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124.266cm in meters?\nAnswer: 31.24266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161318387*f**3*s**2 - 12*f**3 + 303257*f*s wrt s?\nAnswer: 322636774*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1352 and 121\/5334264?\nAnswer: 69345432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1710 and 150?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1103 + -955. Calculate the greatest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.34\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371680 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 879773971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -18272159 and 35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 - 4*n**5 + 5*n**5 + (2*n**2 - 3*n**2 + 0*n**2)*(n**3 - n**3 - n**3) + (-1 - 4 + 9)*(-3*n**5 + 0*n**5 + 4*n**5).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + 5*b - 45, 5*b = -2*s + 35. Let u = -16 + 19. Put s, u, 2 in decreasing order.\nAnswer: s, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 2. Let u be h(1). Solve -z - 13 = -u*z - 5*b, z + b + 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.037 - 0.037. Let h(i) = i**2 + 65*i + 884. Let l be h(-24). Which is the third biggest value? (a) -5 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (4 - 8) + -5. Let v = -0.4909 + 1.9909. What is the nearest to v in -0.2, h, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, g: 2, a: 3, l: 4}. Give prob of sequence sasg.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*w - 13 + 74*w + w**2 + 4 + 0*w**2 + 73*w to the form x*w**2 + f*w + i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (sqrt(700) - (1 + sqrt(700) + 2))) + (sqrt(700)*2*-2 - sqrt(700)) - (-4*-4*sqrt(700))**2*-6.\nAnswer: -40*sqrt(7) + 1075203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3)*(b**(-6)\/b)\/b)\/(((b*(b**(-9)*b)\/b*b*b)\/b)\/b)**(-27) assuming b is positive.\nAnswer: b**(-667\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 + 37404*l\/5 + 89712 = 0.\nAnswer: -18690, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 5*o - 7. Let x be a(6). Is (-207)\/(-6) - x\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209.1 + 296. Let n = -87 + r. What is the closest to -1\/4 in n, 2\/5, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221002100121 (base 3) to base 10\nAnswer: 493792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**2. Let x(u) = 12*u**2 - u + 1. Let f(p) = -3*g(p) - 4*x(p). What is the second derivative of f(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*a**5*i**3 - 2*a**5*i + 4*a*i**3 - 4*a + i**2 wrt a?\nAnswer: 2400*a**3*i**3 - 40*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + i + 11 - 44 = 0, 2*i = -o + 33. What is the greatest common factor of o and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 55*c - 325. Let v(q) = -4*q + 23. Let h(t) = 85*v(t) + 6*x(t). Let i be h(0). Solve -25 = -i*r, 3*p - 4*r = -p - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (-5 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 4:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 43659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056635 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9822 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8012308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:09 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/24 - u**5\/2 - 13*u**4\/16 + 5*u**3 - 9*u**2\/2 + 580. Solve r(i) = 0 for i.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3563 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = -20 + 4490. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 - 164166*x\/5 + 6737618889\/5.\nAnswer: (x - 82083)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 691442648.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 18*v = 105. Let k be 1650\/4*560\/v. What is k rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - 3*t)*(-2*t - 3*t + 2*t)*(-4 + 2 + 4)*(t**3 + 0*t**3 - 3*t**3).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.1 + -15. Let m = -0.6 + c. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 442*f + 369. What is v(2)?\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2030 - -5194. Calculate the lowest common multiple of h and 16.\nAnswer: 12656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5015 (base 11) to base 2.\nAnswer: 1101000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4142, 8217, 12290, 16361, 20430, 24497?\nAnswer: 28562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 - 146. Let h be (7 - a) + 3*536\/6. What is the highest common divisor of 32 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6537355410.\nAnswer: 2, 3, 5, 103, 281, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -133*g**4 - 2*g**2 - g - 15. Let o(l) = l**4 + 2*l**2 + l - 1. Let i(w) = -2*f(w) - 2*o(w). Find the first derivative of i(d) wrt d.\nAnswer: 1056*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3795*g + 47051 = -129948 - 8956 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1351)\/(-2) + 15\/(-50)*-5. Find the second derivative of -8*a**5 - c + 680 + 2*a + 65*a**5 wrt a.\nAnswer: 1140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2589709\/11 + 235429. Factor u*k + 2\/11*k**2 - 28\/11.\nAnswer: 2*(k - 2)*(k + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/65505 and -173\/7590.\nAnswer: 3013230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o + 25*o**2 - 125*o + 70*o.\nAnswer: 25*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 3 in decreasing order.\nAnswer: 3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -58. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 - t**3\/2 + t**2 - 17*t. Suppose b(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31374, 31383, 31404, 31443, 31506, 31599?\n\"Answer: l**3 + 2*l + 31371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 4.5. Let n = 3.3 + q. Let a = 0 + n. Is 1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i + 8. Suppose 0*q - 5*q + 35 = 0. Let d be h(q). Let x be -1*2*(-1 - 3). Calculate the highest common divisor of d and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxgsb. Give prob of sequence bo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 1. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 22*m + 4. Determine c(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3\/5, 0.2, 2 in ascending order.\nAnswer: 0.2, 3\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/2))\/((g\/(g\/g**(-2))*g)\/g))**(2\/5) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 65 = 2132*b - 2127*b, g + 3*b - 9 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 - i - 9. Suppose 2*z = -2*z - 40. Calculate the smallest common multiple of 11 and p(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 9*k + 10. Let t(n) = 2*n**k - 2 + 2 + 6*n**2. Let o(y) = y**2. What is 14*o(j) - 2*t(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473*r**2 + 967*r**2 - 393*r**2)*(8 - 3 + 6).\nAnswer: 1111*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-14) + 8)\/((-24)\/(-168)). Sort v, 40, 0, -5 in descending order.\nAnswer: v, 40, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 - 2*k**3 + 2*k**3 + (-k**2 - 2*k**2 + k**2)*(0 + 2*k + 0).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 307 + 307.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162530803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 61*u + 60*u + 1 + 64*u - 184*u. Let o(q) = 2*q + 6. What is -o(h) + 3*v(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2 + 130788*s = 0.\nAnswer: -32697, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 7*d + 8. Let s(j) = j + 13. Let t be s(-6). Let c be v(t). Suppose 14 + 1 = 5*g. Solve z + g*w = 12, z - 3*w - 2 = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -67*h - 2. Let j be a(-2). Let l be ((-68)\/6)\/(11\/j). Let b = 195 + l. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 - 106.26. Let k = 7568 + -7674. Let g = k - l. Which is the second biggest value? (a) 2\/31 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8443.999990945 + 8444. What is q rounded to seven dps?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31920997, -63841988, -95762977, -127683964, -159604949, -191525932, -223446913?\n\"Answer: n**2 - 31920994*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 8*b - 3 = m + 4, -b + 5*m = -20*m + 195 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -20, -6, 24, 76, 156?\n\"Answer: h**3 - h**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/(-8*5\/(-90)). Suppose 0 = 3*r, n*g = 8*g - 3*r - 18965. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 30*w = -308. Calculate the least common multiple of 77 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let x = 1 - -2. Suppose -18 - x = 7*f. Let p(i) = -29*i + 5. Let n(l) = -15*l + 3. Let y(u) = f*p(u) + 5*n(u). What is w(y(a))?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122825*t**4 - 2*t**2 + 498895*t wrt t.\nAnswer: -1473900*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 40, 75, 130, 211, 324?\n\"Answer: h**3 + h**2 + 11*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 8*c - 9*c - 135*x + 131*x, -9*c + 11 = x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-97)\/((-62662)\/34))\/((-24)\/(-38))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143.68 + -0.68. Let p = n + -146. Which is the second smallest value? (a) -6 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 375965 - -92796. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3 + 5 + 72445*o - 36217*o - 36214*o. Let l(c) = -1. Calculate 2*j(h) + 6*l(h).\nAnswer: 28*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2008\/27 + 82939\/1080. Let k be 34\/(-6) + 65\/39. Calculate the common denominator of k\/(-10) - 2\/(-40)*622 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 33. What is the remainder when 64 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92285681 to the power of 1\/2, to the nearest integer?\nAnswer: 9607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34603 is divided by 4945.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 3 (c) -47 (d) -0.2 (e) -27 (f) 1571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(140\/(-75) - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -375 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i = 3*t - 16, -4*t + 4*i + 32 = 0. Solve 2*l + 7 = -13*f + 12*f, -4*l - 4*f - 12 = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -0.4, -0.028?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 - b0?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346425 + 346430 - 5*s - 692855.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzdduuz. Give prob of sequence zzdz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 654092544 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 21*q - 18 = 0. Suppose 0 = -q*i + 2*i + 56. Find the third derivative of 5*p**2 + i*p**2 + 7*p**6 - 4*p**2 wrt p.\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m**5\/5 + m**3\/2 + 9*m + 2. Let k(x) be the first derivative of c(x). What is the second derivative of k(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 665 and 638 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*c + 433 - 433)*(12*c - 5*c - 9*c) + (-1 - 2*c + 1)*(0 + 0 + 2*c).\nAnswer: -190*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 57*j + 608 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 15*f**4 - 18*f**3 + 12*f**2 + 24*f = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 89253*u**4 + 1991390619*u**3 - 5974707385*u**2 + 5974885896*u - 1991658384.\nAnswer: (u - 1)**3*(u + 44628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 111 = 3*a, -4*q + 208664 = -2*q + 5*a + 208641 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32 - (-5 + 3) - -1. Suppose 9*p - 4*p - j = 0. Suppose -2*w + p*w = 140. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (23 - (-45225)\/(-1107)).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 2 f when four letters picked without replacement from {m: 3, d: 3, j: 4, f: 4}?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + (-3 - (4 + -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/2 - 7*h**2\/2 - h + 35. Let w(v) = -2*v**3 + 8*v + 1. Suppose -3*d = -2*d - 4. Determine d*w(i) + 5*y(i).\nAnswer: 2*i**3 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-113)\/(-14) + ((-1)\/5 - (-468)\/(-260)) and 47\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (1 - 2) - -2. Suppose -4*n + 0*x - 4 = 2*x, 4*n + 4 = 2*x. Is n less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 3, g: 2, h: 8, w: 2}. What is prob of sequence hhkh?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 4*t**3 - 6*t**3)*(3*t**2 - 2*t**2 - 3*t**2 + 5*t**2).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 70 = v + 80, 0 = 5*v - b + 41 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 4. Let g(n) = -n + 1. Calculate the remainder when (-2)\/s*2 - -14 is divided by g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 243. Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24661500 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + n**2 - n**2 + (17*n - 69 + 69)*(0 + n + 0) + (8*n + 10*n - 13*n)*(2*n - 6*n + 2*n) to the form o + l*n + v*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5762*b + 48. Let w be t(11). Suppose 12*s + w = 17*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(1083\/10108)\/((-18)\/4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(3)) + (6*(-2 + sqrt(3) + sqrt(3)) - sqrt(3)) + sqrt(15)\/sqrt(5) + 0 + sqrt(3) + (sqrt(18)\/sqrt(2))\/sqrt(3))**2.\nAnswer: -400*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y*y*y*y**5*y)*y)\/y))\/y**3)\/((y**4\/y)\/y**(-1\/15)) assuming y is positive.\nAnswer: y**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -91*(-49)\/(8575\/(-50))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(-37)\/(c**(-3)\/(c*c*c\/(c*c**1)*c))*(c*c**(3\/7))\/c*c**1*(c\/(c**(-1)*c))\/(((c\/c**(-3))\/c*c)\/c) assuming c is positive.\nAnswer: c**(-425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -488 + 514.3. Let k = w - 36.3. Which is the nearest to 0.1? (a) 0.2 (b) -0.3 (c) k (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3\/(-2))*(-20368)\/(-456) + (-12)\/18.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101111 - -1100000111110?\nAnswer: 1101110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/454376 and 61\/340782.\nAnswer: 1363128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*s + 655*s + 135*s - 3309*s - 4799*s as o*s + b and give o.\nAnswer: -6854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.18 (b) 7\/27 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 4*v - g, v + 76 = 2*g - 42. Suppose 3*l + 76 = -386. Let n = v - l. Round n to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:54 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*24*7\/(-24)*(-97)\/2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1822 + -1818. Let r be (0 - -3)*-49*-1. Suppose 0 = -w*t - 8, 4*t - r = -c - 0*t. Calculate the greatest common divisor of c and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1*(2 - 0). Let q(a) = 0 + 3324*a**2 + a - 1 + 4876*a**o. Let b be q(1). Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:02 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4*12\/(-16))\/(-1). Let r(f) = 0 - 4 + 6*f - u + 7. Let a(i) be the third derivative of i**5\/30 + i**2. Calculate r(a(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 969 and 8151.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1587591*b**4 + 25*b**2 - 22180*b - 746?\nAnswer: -19051092*b**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-29)\/h)\/h)\/h)\/h**23 assuming h is positive.\nAnswer: h**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d*d*d\/(d\/((d*d**(3\/7)*d)\/d)))\/(d**0*(d*d\/(d\/d**(-2\/5)*d))\/d))**(2\/127) assuming d is positive.\nAnswer: d**(58\/4445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 6, g: 2, i: 3, c: 6}. What is prob of picking 2 g and 2 c?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140173 rounded to four decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 12500.\nAnswer: -9\/3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72392, 144779, 217164, 289547?\nAnswer: 361928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71623000 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.092528 millennia?\nAnswer: 109110.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 less than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((6 + -8)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiti when four letters picked without replacement from {t: 2, j: 10, i: 3, o: 4}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Let u be f - (-4 - (1 + -3)). Let p = u + -1. Let t(x) = 5*x**2 - x - 1. Determine t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28236766, -28236748, -28236724, -28236694, -28236658?\nAnswer: -28236616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49386 and 40?\nAnswer: 987720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -16. Let p = 0.01 - 3.01. What is the nearest to a in p, 5, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 27*s**2 - 419*s - 52. Calculate m(-22).\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**3 + 18*a**4 - 19*a**3 + 7*a**3)*(3 - 1 - 1) + (0 + 0 - 4*a)*(4*a**3 - 4*a**3 - 3*a**3) to the form p*a + g*a**4 + i + v*a**3 + m*a**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 27. Let r = z - 5. Suppose -2*h + c + 50 - 2 = 0, 0 = 2*c + r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (-14 - (-23 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7847*d + 5121*d = 1843*d + 400500 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 3*t - t**2 - 5 + t - 1. Let o be 4\/(-1)*(-4)\/4. List the prime factors of b(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2091 + 2088. Sort t, 336, 5.\nAnswer: t, 5, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 23*o**7\/42 + o**6\/15 - o**3\/3 + 13*o**2\/2 + 6*o - 2. Find the second derivative of s(z) wrt z.\nAnswer: 460*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102\/(-204) - (-3)\/(6\/5). Solve -b - s*b - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8451232 litres in millilitres?\nAnswer: 845.1232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1141?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o - 3. Let k(s) be the third derivative of s**4\/2 - s**2 + 177. Give k(b(r)).\nAnswer: -120*r - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296, -1184, -2664, -4736, -7400?\n\"Answer: -296*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.73 + -0.27. Let t = 32 + y. Let o(j) = -2*j**2 + 20*j - 44. Let u be o(6). Which is the third biggest value? (a) t (b) u (c) 1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3516788 to 2 decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241304 + 1000330?\nAnswer: 204021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.84. Let b = 41 - 41.9. Let l = b + t. What is l rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9457*n + 29493 = -329296 - 246459 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 405688999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 - 11 = -41*f + 211 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*d + 4*w - 181, d + 5*w = 98. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -5 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -4. Let k(i) = -6*i**2 + 14*i. Let u(n) = -3*n**2 - 6*n + n**2 + 0*n**2 + 11*n. Determine a*k(v) + 17*u(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2. Let w(n) = -998*n**2 + 1734*n**2 - 857*n**2. Give f(w(m)).\nAnswer: 43923*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*i**3 - 1105*i**2*o**2 - 446004*o**2 wrt i?\nAnswer: 93*i**2 - 2210*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 15*i**2 + 16*i + 8. Let w be k(16). Let q be 7\/28 - (-62)\/w*5. Let m = q - 29. Solve -2*j + 4*j + m = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w + w**2 + 4*w**2 + 181 + 8*w**2 + w**3 - 168. List the prime factors of a(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-w - 2*w**2 + w) - 49*w + 49*w - 35*w**2 + (5 - 5 - 2*w)*(w - w + 2*w).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 350. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*r**4 + 0*r + 4\/3*r**3 + 0 - r**2.\nAnswer: -r**2*(r - 3)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*c + 38 = 6*k, 10 = -2*c. Let z = -4210 - -332585\/79. Let l = 2153\/316 + z. Which is bigger: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 54. Let n = 23 + -16. Solve -2 - n = -f*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -375 + 99. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 55 = 2*o + 3*o, -5*q + 3*o + 61 = 0. Let f = 23 + -24. Let p = f - -3. Calculate the lowest common multiple of p and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165421853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 (base 10) in base 4?\nAnswer: -200313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.15329 to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l = -13*l - 441 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 21. What is the highest common factor of 100 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/3 + 5*x**4\/3 + 5*x**3\/3 - 5*x**2\/3 - 2*x = 0. Calculate x.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/1630*10\/1. Suppose -409 = -42*k - 367. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 577 - 394. Suppose -609 - r = -6*c. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3235 is divided by 916?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose 2*x + x + 18 = d. Let y(l) = -l**3 - 6*l**2 - 2*l + 6. What is the units digit of y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 34595*t**2 + 242710*t + 2077800.\nAnswer: -5*(t - 12)*(t + 5)*(t + 6926)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*c - 28, -17*t + 12*t + 5*c = -35. Let v(h) = 3*h + 3. Determine v(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 10855*x**2 - 4835875*x + 612940625.\nAnswer: -5*(x - 1621)*(x - 275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -3)\/(1 - 2016\/2007) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3177 - 3173. Let u = 1\/8 + 1\/24. Sort o, 2, -2\/11, u in ascending order.\nAnswer: -2\/11, u, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**37\/((d**(1\/20)*d)\/d**(-12)) assuming d is positive.\nAnswer: d**(-1001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 182*k**2 - 79*k + 13447. What is x(182)?\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*s - 763*s - 819*s + 145*s + 27*s to f*s + l and give f.\nAnswer: -1745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -3 (c) -2 (d) 2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 5*o - 941. Let v be k(-45). What is the greatest common factor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i - 25. Let r be -6 + 3 - 3*4\/6. Let k be c(r). Find the second derivative of -7*f - 8*f + 15*f**4 - k*f + 4*f wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35017 and 5723?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - ((-54)\/(-42) - 4\/14). Is 2638 - (1 + q) - -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/2 - (4260\/180 + -33))\/((-14)\/(-3)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1782\/(-88))\/27*((-32)\/(-2130))\/(26\/65).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*v - 50 + 38, 3*v = -4*p + 22. Let o(f) = -2*f**3 + f**2 - f + 1. Give o(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x. Let t(b) = 65*b**2 - 190745. Calculate v(t(r)).\nAnswer: 260*r**2 - 762980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -568, -915, -1278, -1663, -2076, -2523?\nAnswer: -3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 0.2, 3, 24, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*n = -21, 7 = -0*o + 3*o + 4*n. Suppose -o*f = -f + 8. Let s be ((-3)\/3 + 1)\/f. Which is the closest to 1\/2? (a) 7 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 191305641.\nAnswer: 191305672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407.\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 at least as big as -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-70) + (-10)\/50.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 751 - 693 = -w + 5*p, -75 = 5*w + 5*p for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/15 - 1304*z**3\/15 = 0. What is z?\nAnswer: -652, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1868805248*m**2\/9 - 35825696*m\/9 + 171698\/9.\nAnswer: 2*(30568*m - 293)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2027.9?\nAnswer: -101.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y**(-30))\/(y*y\/y**23*y*y**(3\/13)\/y*y*y*y) assuming y is positive.\nAnswer: y**(-29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-4) + 8 - (6 + -4). Let z be w\/(60\/(-5))*-1. What is the closest to z in -2\/11, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1 - 5*y**2 - y - y - 6*y**2 + 13*y**2 + 6*y. Let r(v) = 5*v**2 + 9*v - 1. Calculate 9*n(q) - 4*r(q).\nAnswer: -2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -371077*w + 1484330. Calculate d(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 172?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3365 - -3401. Calculate the highest common divisor of 2502 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7921, 3, -3, 5, -1 in descending order.\nAnswer: 7921, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1686762256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 9*y + 14. Let s(a) = -5*a**2 - 8*a + 7. Let c(j) = 6*f(j) - 5*s(j). Calculate c(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*z - 6, -3*n = 2*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209) - (6*-3*sqrt(209) + sqrt(209))))\/(1*2*sqrt(11) - sqrt(132)\/(sqrt(24)\/sqrt(2))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -350, -706, -1062, -1418?\n\"Answer: -356*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 4*d + 3. Let a be 2\/(-5) + (-132)\/(-55). Let u be w(a). Suppose 4*y = 2*v - 124, u*v + 4*y - 150 = y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16949.98 and -1.9.\nAnswer: 16948.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1218 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {v: 3, y: 6, g: 4, d: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28747.\nAnswer: 17, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11 (b) -119 (c) -308\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.952. Let u = -12.56203 - -0.01403. Let y = u + p. Round y to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksz when three letters picked without replacement from {s: 3, z: 1, g: 7, i: 2, o: 3, k: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 + -237.1. Let j be 3 - (0 - -3) - (4 + -14). What is the closest to d in 0.1, j, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281560000 to the nearest one million.\nAnswer: -282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -21*t**4\/8 + 28*t**3\/3 - 19*t**2. Differentiate u(s) wrt s.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 20. Let k be n(-5). Solve -q + 6*i + 7 = 2*i, 2*q - 5*i - 8 = k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 75. Let u(s) = 27*s - 2. Let n be u(y). Suppose -3*f - 5*d + 405 = 0, f - 3*d = 3*f - 269. Calculate the greatest common divisor of n and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, 4, 587 in ascending order.\nAnswer: -5, -3, -2, 4, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/29)*(a**4*a)\/a)**(-39) assuming a is positive.\nAnswer: a**(-5733\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -60. Let n(q) be the third derivative of 13*q**4\/12 - 2*q**3 + 2*q**2. Let l(m) = -17*m + 8. Let f(p) = v*n(p) + 8*l(p). Differentiate f(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113164401*g**4 + 87*g - 67359 wrt g.\nAnswer: 1357972812*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 31. Let w be x(12). Suppose w*l - 8*l + 930 = 0. What are the prime factors of l?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 63 - 885*v - 7 - 24 + 79 + 900*v. Let m be p(-6). Solve -2*x - 15 = -2*n - n, 2*n = 5*x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65025 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 151300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**3 - 2*q**2 - 2*q - 1. Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936*c + 1932 = -1660*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3179801.8 to the nearest 10000.\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 589919937*p**4 + 164520353.\nAnswer: 2359679748*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/4 - 16693*i**3\/4 + 485671*i**2\/2 - 904554*i = 0. What is i?\nAnswer: -16751, 0, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a**2 - 34*a**2 + 6*a**2)*(-a - a + 4*a)*(-2 + 2 + 4*a**2).\nAnswer: -304*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-30))\/((-36)\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-28))\/((-33)\/42). Let 0 + 2\/11*p**3 - r*p**2 + 2\/11*p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.1 + -13. Is 2\/29 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3 + 3)*(-9 + 54 + 6)*(-2 + 1 + 2)*(-18*a + 3*a - 219*a - 126*a).\nAnswer: -55080*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**3*k**3*r + f**3*k**2 - 870*f**3*r + 3*f**2*k**3 - 5*f wrt r?\nAnswer: -f**3*k**3 - 870*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 49*c**5\/3 + 707*c**4\/3 + 874*c**3 - 934*c**2\/3 - 9071*c\/3 + 2209 = 0.\nAnswer: -47\/7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9 - 2021*g - 621*g - 1 + 10 + 1813*g**2 wrt g.\nAnswer: 3626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**2 - 374169 + 748336 - 374167.\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11647 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4738\/7 - -680. Which is the fourth smallest value? (a) 0.3 (b) j (c) -1\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*p = 121*p - 2*k + 12, -5*k = -4*p - 36. Which is the closest to p? (a) 3 (b) 1 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1565\/4 in -4, 1\/2, 3.4, -3?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 526708 and 1820.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/4)\/f*f*f))\/f**3*((f\/(f**1*f*f))\/f*f)\/f**7)\/((f*f*f**(2\/7)*f*f)**34*f**(1\/6)*f**(-1\/4)\/f) assuming f is positive.\nAnswer: f**(-6589\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) 0.5 (c) -20628 (d) -163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 14*n + 29. Determine d(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19657071, -19657072, -19657073, -19657074?\n\"Answer: -s - 19657070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -963822 + 1390062. Round d to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 18. Give f(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 + 5298*r + 19023584 = 0.\nAnswer: -2032, 4681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1464*l - 1401. What is the thousands digit of t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 32. Suppose x*k - 32 = 4*y, -2*y = -4*k - 0 + 22. Suppose 0 = -u, -2*n + 2 = -k*n - 5*u. Let w(l) = 5*l - 1. Give w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 871586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*143.6433\nAnswer: -71.82165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 815664 = 50*u - 5*u. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 11*u**2 - 39. What is r(-8)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let u(o) be the first derivative of 64*o**3\/3 - 40*o - 4741. Calculate k(u(y)).\nAnswer: 8192*y**4 - 10240*y**2 + 3200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z**3 - 11*z**3 + 27*z + 1 - z**3 - 4*z to the form l*z**2 + j*z + r*z**3 + x and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let s(n) = 247*n**2. Determine y(s(q)).\nAnswer: 247*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 5. Suppose -z + 87 = 4*q, 0*z = 2*q - w*z - 49. What is the lowest common multiple of 34 and q?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from pssbsbtssssbpssbbb.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dydc when four letters picked without replacement from yvdvvdyydvycyyccv?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803 a factor of 1327276330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 14. Let a be j(2). Suppose 0 = 4*r - z + 2*z - 96537, -5*r - a*z = -120675. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 2.6?\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 130*q - 30. Let y(b) = 6*b - 1. Give -w(o) + 30*y(o).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -18674564.\nAnswer: -18674563.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -33 - (-5 + 1)*-1. Let w = s + 34. Let n be w + -4 + (-33)\/(-5). Which is the biggest value? (a) n (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24\/5 - 4. Let y be (-44)\/(-60) + 1\/(-3). Determine c, given that -b*c - 2\/5*c**2 - y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 + r. Let g(a) = 8*a**3 - 17*a**2 + 18*a. Let w(k) = g(k) - 3*l(k). Factor w(p).\nAnswer: 5*p*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zxzzzzzxzzzz.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -2 - 116)*1. Let a = c - -77. Let j = -9 - a. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -284?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1255*x + 1256*x - 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788 is divided by 249.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 8. What is the second derivative of -p*b**2 - 6*b**2 + 4*b + 2*b**2 - b**2 wrt b?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4031\/78 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 + 4 = 0. Suppose -6 = -3*k + 3*d, 4*k - 5*k - 2*d + t = 0. Suppose -3*b + 296 = -5*r, 5*b + 198 - 681 = -k*r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.2. Let y = -14 + 10. Let f be (-7)\/(-3) + -2 - -1. Sort f, c, y in increasing order.\nAnswer: y, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 - 43) + -16 + -103.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-1 - (-8)\/1 - -1005). Calculate the greatest common divisor of c and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 3*v**7\/14 + 7*v**4\/12 + v**3\/6 + v**2 - 3*v. What is the second derivative of c(d) wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36553551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uimxmxdi. What is prob of picking 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(144)\/sqrt(4))\/sqrt(3).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -69216 in decreasing order.\nAnswer: 8, -4, -69216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.5.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1354 + 1859 + 760 = 137*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.081 - 3.919. Let r = -47\/66 + 1\/22. What is the closest to 0.1 in 2\/11, m, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4894 by 4.\nAnswer: 2447\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/858)\/(3*(-6)\/27)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/4*1680\/(-120)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1.06 (c) -0.1 (d) -3 (e) 0 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 76*f**3 - 1832*f**2 - 13488*f + 1440 = 0.\nAnswer: -6, 2\/19, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 26. Let c = 1.460372 + 10.539626. Let o = c - b. Round o to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1109, 5, -2 in ascending order.\nAnswer: -2, 5, 1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 111 = 5*w, 3*p - 82 = -4*w - 2*p. Determine y, given that 6*y**2 + 3 + 1 + w*y + 19*y**2 - 3*y = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 2153844*b + 66773008 = 0. Calculate b.\nAnswer: -538492, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -327*q**2. Let w(b) = 4*b. Give l(w(t)).\nAnswer: -5232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 50 = 5*v, -3*v - 63867 = -10*m. What are the prime factors of m?\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/8 - 12*k**2. Let v(y) = 658*y**2 + 235. Let x(z) = 3*z**2 + 1. Let g(h) = 3*v(h) - 705*x(h). Calculate c(g(m)).\nAnswer: -423*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 546 + -149. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiis when four letters picked without replacement from {s: 1, i: 2, b: 1, o: 5, h: 1}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108154 is divided by 3181.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -3.98. Let j(b) = -30*b**2 - 239*b + 10. Let d be j(-8). Sort 1, -5, d, p in descending order.\nAnswer: p, d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 54, 118, 210, 330, 478?\n\"Answer: 14*l**2 - 6*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = i + 15 - 11, 0 = 2*b + i + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328 and 3546910.\nAnswer: 14187640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3772, 7542, 11312, 15082, 18852?\n\"Answer: 3770*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:49 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, w: 3}. Give prob of picking 3 w and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*y - 1595 = 1149 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1938 and 77\/77520.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 65*w**2 - 15*w + 69. Let t be u(4). Let b = -518 + t. List the prime factors of b.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose 18*c = 14*c + t. Let i(s) = s**2 - 2*s. Let j(q) = -q**2. Let z(l) = c*i(l) + 2*j(l). Give z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.472566 to three dps.\nAnswer: 0.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:25 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*l - 3*l + 21 = 0, 2*d + 2*l - 18 = 0. Suppose 0 = -i - v - 0 + 1, 5*v = 15. Put -3, d, i in decreasing order.\nAnswer: d, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -3*o - 1\/3*o**4 + 0*o**3 + 0 + 0*o**2. Let t(l) = -4*l**2. Calculate t(w(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -w. Let l(j) = 2*j + 1 + 1 - j**3 - 3 - 3*j**2. Give l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56380171?\nAnswer: 56380171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10286, -82121, -277110, -656831, -1282862?\n\"Answer: -10263*c**3 + c**2 + 3*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1 + -17 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*-2)\/(sqrt(40)\/(2*sqrt(4) + sqrt(4) - sqrt(4))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/4 - 7*l**4\/2 + 35*l**3\/4 - 11*l**2\/2 = 0.\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 23*n - 13*n + 49501*n**2.\nAnswer: 49501*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 12) to base 5.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5\/2*q**4 + 15 + 5*q**2 - 5*q + 20\/3*q**3 - 3*q**5. Solve h(o) = 0 for o.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/7 - 2900593*y\/7 + 2900600 = 0.\nAnswer: -2900600, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10206 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0, -3.1026 in ascending order.\nAnswer: -3.1026, -0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g**3 - 58*g**3 + 78*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-574)\/(-164) - 6\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -38. Let v be (2 - 0 - d)\/(1\/(-1)). Is 1 + (-5)\/(v\/(-3164)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 24 + 7 = 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 - 195940*b**2 + 391866*b + 587808 = 0.\nAnswer: -1, 3, 97968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3 = 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnbm when four letters picked without replacement from {d: 1, n: 2, b: 2, h: 1, i: 1, m: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:09 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4035703 or 4035719?\nAnswer: 4035703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -21*h - 1. Let j(l) = 19*l + 2. What is -4*j(c) - 3*w(c)?\nAnswer: -13*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 16782\nAnswer: 83\/16782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480 = -22*p - 10*p + 12*p for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 3. Let y(x) = 7*x + 6. Let p(a) = 9*l(a) + 4*y(a). Let k = 8 - 4. Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2045*c**2 - 1701450*c + 8320.\nAnswer: 5*(c - 832)*(409*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -377, -543, -709?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*i**5 - 125*i**2 wrt i.\nAnswer: 18540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 12. Let m be g(0). Which is greater: 13 or m?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -17, -4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 119784?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s + 7. Let f be i(4). Suppose 0 = 2*r + 2, f = 5*k - 2*k - 5*r. What are the prime factors of 13 + k\/2*-1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -24 + (-8 + 23 - -6)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 8, k: 3, v: 3, b: 5, y: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j + 36. What is y(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/314684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.008 - -1.992. Which is the fourth smallest value? (a) 1\/2 (b) -0.2 (c) t (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 2*n**2 - 2*n. Give c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 465025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 - 49*j**2 - 8*j - 18. Let r be z(10). Suppose 3*y + r*a - 5*a - 1041 = 0, -3*y + 1051 = -5*a. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 + 205 = 5*m + 3*w, 2*m - 210 = 4*w. Suppose 30*n - 2188 - 902 = 0. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15832\/23 and -687 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7237885.874 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*o - 5991 + 22173 for o.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -523, -1102, -1679, -2254, -2827?\n\"Answer: f**2 - 582*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*o + 5, 19 = 5*h - o - 1. Suppose 0 = 3*c - 6*c + 2*w + 2, 5*c - 2*w - 10 = 0. Calculate the lowest common multiple of c and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (1*sqrt(304)*-2)**2*-3)*-6.\nAnswer: 65664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -802*n + 473997. Determine l(591).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - p + 9, -4*t - p = -2*p + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 115 = -104 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75397 is divided by 68.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 201110222 (base 3) to base 2\nAnswer: 11011101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/((-198)\/(-12)))\/(-4). What is the nearest to q in -3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*12\/1794*13.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 19. Let m be x(22). Find the third derivative of -7*q**4 - q**5 + 34*q**m - 34*q**3 + 47*q**4 + 7*q - q**2 wrt q.\nAnswer: -60*q**2 + 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35299 + 41502. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 31, 117, 289, 577, 1011, 1621?\n\"Answer: 5*c**3 - 2*c**2 + c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1488 + 2196. Suppose u*l = 704*l + 32. What is the smallest common multiple of 1 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 25*k - 100. Let l(q) = 21*q - 95. Let v(f) = -6*l(f) + 5*p(f). Suppose 5 = 5*d - 45. What is the least common multiple of 1 and v(d)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (12 - 8) - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716*o - 13657*o = 98238 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b**3 - 10*b**2 - 22. Let q(u) = -6*u**3 + 4*u**2 + u - 2. Let d(s) = 2*q(s) + z(s). What is d(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 4*l - 2*l + 111*l**2.\nAnswer: 111*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 544225170 divided by -108845034\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28327\/8 - (-32)\/256 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f + 2*x, 4*x = 5*f + 5*x - 20. Solve 5*i = -0*y + 3*y, -2*i - 14 = -f*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-1)*44\/(-6). Let c = 787 - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -2*m**7\/21 - 13*m**6\/24 + 85*m**5\/12 + 295*m**4\/12 + 20*m**3 - 80*m**2 + 6*m. Find v, given that z(v) = 0.\nAnswer: -6, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q - 9*q + 4*q**2)*(-4*q - 8*q - 3*q) + 114*q**3 - 118*q**3 - 59*q**3.\nAnswer: -123*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66666*s + 66669*s + 28 = -2*t, -t = s + 12 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/(-11) - 1*554716\/12*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let w(g) = 401683097*g. Calculate w(r(z)).\nAnswer: -401683097*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = s - 9, -u + s - 5*s + 14 = 0. Let b be (1\/u)\/((-5)\/(-150)). Solve c + 3*r = -b, 0 = -3*c + 2*r + 9 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52018*g + 52116*g + 1666 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:14 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15275 - 8?\nAnswer: 15267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.59 - 3.59. Which is the nearest to -1? (a) t (b) -5 (c) 0.7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.4, 4\/7, 5, -311513, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55157 - 30937. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*y**5 + 0 + 0*y**2 + 2\/13*y**3 + 0*y + 0*y**4 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 16*a + 39. Let o be i(3). Solve o*s - 5 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t - 3. Let i be (t*-3)\/(-9)*-3. Let v be (i - 0)*(-1 - -1). Solve v = -5*s + 2*d - 14, 4*s + 2*d + 28 = -2*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -586*x**6\/15 - x**5\/10 + 13*x**3\/3 - 169*x**2\/2 - 9483*x - 2. Find the second derivative of k(q) wrt q.\nAnswer: -14064*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 20. Let l(p) = -2*p**2 + 3*p. Suppose 2 = -o + 2*o. Let z be l(o). Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 506*y + 63 + y + 0*y + 0*y + (-4*y - 3*y + 5*y)*(0 + 1 + 0) to the form c*y + z and give c.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(57)\/sqrt(3) + 4 + sqrt(19))**2 - 2*(1 + sqrt(19)).\nAnswer: 15*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.2 (b) 3 (c) -5 (d) 5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (((-26 - -7) + 8 - -5) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/5)*a))\/a**(2\/11))\/((a\/a**6)\/a**(-13)) assuming a is positive.\nAnswer: a**(-428\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -27\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -0.13?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 71*y + 5*m = 9, -y - 4 = -5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -265, -4\/3, 475 in decreasing order.\nAnswer: 475, -4\/3, -2, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19860980.\nAnswer: 2, 5, 993049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**0\/l*l)\/l)*l**(2\/13) assuming l is positive.\nAnswer: l**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:31 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3869, -16274, -37197, -66638, -104597?\n\"Answer: -4259*l**2 + 372*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497343 and 462?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klqmqkllllqlqbkllll. Give prob of sequence kmk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {d: 2, c: 2, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/3 - c**2 + 6*c + 40\/3 = 0. What is c?\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 71. Let j = -12 + 12.1. Which is the closest to -1? (a) j (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 2. Suppose -30 = 4*f + 10. Let o be w(f). What is s in -8*s**5 - 3*s**2 + 3*s**4 + s**5 - 2*s + s**3 + o*s**5 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 - 59*x + 11. Calculate q(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = 21*r - 16*r, 2*q - 3*r - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7\/(231\/(-138)) - -6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*v = 108*v - 362 - 86 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -23*r - 84. Let z be (-2)\/(-3) - 364\/r. Let t(n) = -19*n + 10. Let f be t(-8). What is the greatest common factor of z and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 225*v + 868. Let y be t(-4). Solve -30*g + 35*g - 25 = y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 + 597. Suppose -6*u = 24 + p. Let c = 174 + u. What is the greatest common divisor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttvtvvtvtvv. What is prob of sequence vtv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -15 + -1 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -4\/7 in decreasing order.\nAnswer: 2, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k**3 + 156*k**5 + 11*k - 9*k**2 - 155*k**5 + 18 + 8*k**4 - 17*k**2 = 0 for k.\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, h: 2, s: 3}. Give prob of sequence hs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861933.96 rounded to the nearest 1000?\nAnswer: 3862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 26.4. What is the third smallest value in p, -0.5, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y**4\/7 - 54*y**3\/7 - 102*y**2\/7 + 4*y\/7 = 0 for y.\nAnswer: -1, 0, 1\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1266.84, -2, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 2)*6 - (-1 + sqrt(2) + sqrt(2))*-1)**2.\nAnswer: 176*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 69 - 69 - 436*s)*(2 - 2 + s**3)*(3 + 0 - 4).\nAnswer: 436*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.834288526 less than -0.1?\nAnswer: 653.734288526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*o + 98136, 98160 = -170*l + 174*l - 3*o. List the prime factors of l.\nAnswer: 3, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49.1 or -2\/13?\nAnswer: 49.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -2) + (7 - ((-1 - -7) + -45)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906940413?\nAnswer: 3, 100771157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03715704 + -6.\nAnswer: -6.03715704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 7*f - 6. Let r be k(6). Suppose q + 9 - 11 = r. Solve -3*l - 9 = 0, 5*s + q*l = -4 + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 33 + (0 - -2) + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = 35*b + 107900. Round b to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 352*m + 1707 + 1657 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 200 - 4 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115752183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 42, 131, 308, 603, 1046, 1667?\n\"Answer: 5*l**3 - l**2 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -8291, -10 in descending order.\nAnswer: 11, -2, -10, -8291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*u + 883*u = 231 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beee when four letters picked without replacement from ypepeppebbb?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6757?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 14622 = -12078. What is the greatest common divisor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -3*w**6\/40 - w**4\/8 + 9*w**2. What is the second derivative of k(l) wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1947 - 35 = 2*m. What are the prime factors of m?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 60*s**2 + 826*s + 100. Calculate z(37).\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 2*b**2 + 0*b**2)*(-b - 3 + 3) + (-2*b**3 + 0*b**3 + 3*b**3)*(-9 + 27 - 12) to g*b**2 + y*b**3 + f*b + z and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/277, -2, 21, -3\/7, -22, 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:37 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-388)\/1455*2\/16*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -121, -105, -79, -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(7))**2 + -3)*6 + 2*(-3 + -4*sqrt(5)).\nAnswer: -8*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/a*a**(-1)*a*a*a*a*a)\/(a\/((a\/((a**(3\/5)*a)\/a*a))\/a)*a*a\/a**(2\/5)))\/((a**1)**45*(a\/(a**(-2)\/a*a))\/(a\/(a**(-2)*a))) assuming a is positive.\nAnswer: a**(-251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*a + 139 = 0, -s = 4*s - 2*a + 627. Let d = -104 - s. Solve 5*p = d - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(1\/(-48)). Let x(s) = -22*s + 2222. Let h be x(101). Suppose 9*a + h*a = i. Solve 5*k - 4*t - a = 0, -5*k = -2*k - 3*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:07 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15269 + 8\/3*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1920? (a) 17 (b) -4\/3 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 947172 and -83.4.\nAnswer: 947088.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15688625747 and 2.25.\nAnswer: -15688625744.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98420 - -360315622\/3661. Let u = 54893\/40271 + s. Calculate the common denominator of u and 1\/(-3) - (-597)\/(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27*s - 59. Let f be r(3). Solve -8 - f = -6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145634196)\/(-2206833) - (66 - 0)?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 483?\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + 2*(1 + -2). Suppose 7*k + 3 = 8*k. Let i(y) = 6 - 7*y**2 + 6*y**k - 3*y - 3*y - t*y**3. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/4)\/r)\/r)\/r)\/r*r\/r**7)\/(r**(-6\/7)\/r**2) assuming r is positive.\nAnswer: r**(-193\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(2 + (-2)\/1). Is i - (-5)\/(5\/7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-182)\/12 + 7\/42. Let q = -29 - -50. Let j = q + t. Solve 1 = 2*s - 3, w + 4*s - j = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/27)*n**9)\/((n\/(n*n*n\/(n\/(n*n\/(n\/(n**(-14)\/n))))))\/n**(-3\/11)) assuming n is positive.\nAnswer: n**(-1291\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) 2\/11 (c) -4 (d) -1324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1607 = -4*o + 419. Let c = o - -472. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9831 - 4814. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14*-15*(-16)\/720)\/((-227)\/(-3)). Is w smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 523 - 404. Calculate the remainder when y is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45\/10307 (b) 2.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pez when three letters picked without replacement from {u: 2, n: 3, e: 2, z: 2, h: 6, p: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -12. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/3*(-3)\/27*9)\/(-2).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(6*sqrt(6)))\/sqrt(10)*-5)**2.\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 69568840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24 + 27 - (-2 - 0). Let j(r) be the first derivative of 0*r**2 + 0*r**3 - 3*r - 8 + 0*r**4 + 8\/5*r**z. Find the first derivative of j(q) wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16802.75 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.028 + -0.69. Let s = j - -0.368. Round s to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*b - 5933 - 13497 = -6926 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:11 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 5*u - 10, 5*g = 3*u + 6. Suppose 2*h + 5 - 37 = g. Solve 0 = -3*t - t + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x + t - 121, -3*t = -15. Let h = 25 + x. Let p be (6\/4)\/3*4. Sort p, h, -3 in descending order.\nAnswer: p, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 + 4*y**5 - 804 - 12*y**4 + 12*y**2 + 804 = 0. What is y?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*x - 52*x + 456 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2110683794 to the nearest integer?\nAnswer: 45942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 2*i + 2. Let k be r(3). Suppose 14*l - 10*l - 20 = 0. Solve 6 = -4*y - k*w, 0*y = -l*y + w - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/12)\/(3\/(-228)). Which is smaller: 473\/5 or r?\nAnswer: 473\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1106 divided by 4\nAnswer: 553\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1009? (a) -3\/17 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-35) - (-31)\/5. Solve 4*c = w*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(1\/23)\/(b**(-1\/2))**23)\/(b**(-4)*(b*b*b**1)\/b*(b**(1\/3))**(-4\/13)) assuming b is positive.\nAnswer: b**(1061\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 12*n**2 + 9*n + 4. Calculate c(13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 65 = 0, -5*d = 5*q + 3*q - 4*q - 77 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -199 + -389?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -72, -123, -196, -297, -432?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*t + 160*t + 493*t + 18475 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -35. Suppose -2*y + 5*a - 8 = 0, -4*y - 3*a + 9 = -q. Let j(c) = c + 2. Calculate the remainder when 22 is divided by j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*a - 196 - 584, -5*a - 5*f - 820 = 0. Let w = a + 96. Let n = w - -79. Solve 0 = -4*z + 5*t - t - 16, z = -3*t + n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k = 0. Suppose -3*j + 2*j + 36 = k. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) - (-3335)\/5278. Let h = -1\/28 + p. What is the closest to -1 in 4, 2\/55, -4, h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0. Let b = 0.3 - q. Put b, 4, -0.4 in ascending order.\nAnswer: -0.4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-279) - 390\/(-8370). Let j = 1.9 + -1. Let u = 0.5 - j. Which is the closest to -1\/3? (a) r (b) u (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*y**3*z**2 + 12*y**2*z**2 + 134*z**2 wrt y?\nAnswer: -9*y**2*z**2 + 24*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u + 58. Give q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 11005508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 + 255. Let t be (24\/10)\/((-18)\/(-120)). Suppose 8*i = 4*i - t. What is the smallest value in q, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -408024 - -787486437\/1930. Calculate the common denominator of 1\/6 and d.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/(-160)*(0 - -1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4)\/(-1 - 1). Suppose -7 = -l*k + 3. Let f = -1 + k. Calculate the least common multiple of 7 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddj when four letters picked without replacement from dsdddsdjddjdd.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -182.1. What is the nearest to -1 in 11, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8519 - 0.3519. What is the fourth smallest value in 4\/7, 10, o, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/(r*r*r*r*r\/r**(-1\/10)*r*r) assuming r is positive.\nAnswer: r**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -358 + 357. Let q = -53 - -43. Put 4, q, y in ascending order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.88? (a) 42 (b) 0.19 (c) 1 (d) -3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:38 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3081*v + 70859. Calculate u(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113232330 + -11233?\nAnswer: 113221031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -6, -34, -62, -90?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -0.3 (c) -2\/17 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3 + 17. Let y(o) = o**3 - 3*o**2 - 5*o. Let p be y(u). Let d = -12 + 8. Is p at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 28?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337505\/2768532 - 2\/17747. What is the common denominator of j and 68\/195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -21432*m + 108. Determine i(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*2)\/sqrt(2))\/((sqrt(2) - sqrt(50))*5).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 1. Let w(d) = -5*d + 3. Suppose -2*a = 4*z - 42, 0 = -z + 3*z - a - 11. Suppose 9*b + z = -10. Determine b*k(s) + w(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/2 + 8*z**4 + 21*z**3 + 20*z**2 + 13*z\/2 = 0. Calculate z.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.39 + 32.59. Let q be (15\/(-18))\/(-5)*-1. What is the biggest value in -16, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 l when three letters picked without replacement from flclf?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)\/(((h**8*h)\/h)\/h))\/(h*h*h*h*h*h**(2\/21))**(-1\/27) assuming h is positive.\nAnswer: h**(-17149\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911472?\nAnswer: 2, 193, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 19. Give t(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 75883*v**3 - 6*v**2 - 5180*v + 1.\nAnswer: -48*v - 455298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 1. Let b(z) = 188*z - 206. Let k(l) = 125*l - 137. Let i(u) = -5*b(u) + 8*k(u). Let q = -490311 + 490443. What is q*d(j) - 2*i(j)?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5959312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 360506.7?\nAnswer: -1081520.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 f when four letters picked without replacement from sssssfssffss?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(0 - 1 - 1)*(-10*j - 9*j - 302 + 271) in the form n + v*j and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - f**2 + 2*f - 62. Let x(p) = 3*p**3 + 4*p**2 - 7*p + 186. Determine 7*n(q) + 2*x(q).\nAnswer: -q**3 + q**2 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 1\/(42\/(-54210)). Round a to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 1. Solve 3*m + 4*i - 32 = 0, -j*m + m + 3*i + 1 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 = -1. Let l be (1 - (2 + -3)) + w. Let x(v) = v**2 - 3*v. Let t be x(4). Solve t*z = -l*s + 20, 3*z - s = -2*s + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 354 = -5*x, 3 = -9*j + 10*j. Let u = x + 72. Let o be (-1*(0 - -1))\/8. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 138206*q + 17145232.\nAnswer: -(q - 124)*(q + 276536)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69752018036285 from -0.15.\nAnswer: -69752018036285.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*i + 3*i - 36 = 0, 5*q = -5*i + 165. Suppose 2*l + 0*l - q = 5*h, 2*h + 22 = 2*l. Solve -x = -4*o + l, -o = 3*o - 5*x + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*1\/3)\/(6\/18). Let n(z) = -3*z**3 - 26*z**2 + 3*z**2 + 2*z**3 - 34 + z**u + 21*z. What is the remainder when 21 is divided by n(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d (base 15) to base 9.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/51 - (12066\/(-34) + -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m - 42. Let d = -70 - -60. What is the lowest common multiple of 24 and w(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 91*d + 755. What is v(-82)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/152 and -44\/1501?\nAnswer: 12008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -5*p. Let y(b) = 12 - 6 - p - 6*b. What is the tens digit of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/72 + 4\/(-18). Let a = -0.01 + 0.41. What is the third biggest value in j, 2, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 - q + 1. Give f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23021323023 (base 4) in base 6?\nAnswer: -142402043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 235*c + 75. What is x(-2)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.09 in 2\/141, -112\/3, 1\/2, 0.1, 2?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**7\/21 + 9*o**5\/10 + o**4\/12 + o**3\/6 - 56*o. Find the third derivative of l(b) wrt b.\nAnswer: -120*b**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*q + 5)*(25*q - 21*q - 2 + 1).\nAnswer: -16*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123, -115, -99, -75, -43, -3?\n\"Answer: 4*b**2 - 4*b - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 2\/31307?\nAnswer: 2\/31307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1558\/27449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4170 + 1404. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20244 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9299.93 - -3.\nAnswer: 9302.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - f + 1. Let g(u) = 2*u**3 + 5*u**2 - u + 5. Let m(d) = -g(d) + 5*z(d). Find the second derivative of m(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 - 210 = 5*n. Solve l - 2*v + n = 0, -5*l - 7*v + 22 = -3*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 6 = 52*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-2)\/sqrt(4) - ((sqrt(110) - sqrt(110)*-3) + sqrt(110))\/sqrt(10).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 16 + (-33 - (-9 + 3 + -2)) + 4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - h - 39 = 0, -h + 26 = 3*c - 45. What is the least common multiple of 2 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -245492, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s + 3. Let o(g) = 11*g - 5. Determine 4*c(t) + 3*o(t).\nAnswer: -11*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 15. Let s be x(-15). Suppose s = z + 4*n - 17, -3*n + 15 = 4*z - 14. Solve 8 = z*f - r, 0 = -5*f - 0*f + 5*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1803.7469 and 0.2.\nAnswer: -360.74938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1016 + -666. Let x = l - 341. Which is the smallest value? (a) x (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:18 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 11) to base 14\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296143212.\nAnswer: 2, 3, 24678601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*m + 81 + 4 + 185 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4 - 28. Let c(i) = i**2 - 15*i - 12. Let n(b) = b**2 - 16*b - 12. Let q(p) = -7*c(p) + 6*n(p). Let z be q(8). Solve 0 = -3*h + l*h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -4\/3, -5, 2\/5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1202 (b) -7\/6 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.3 + -16. Let i = b + -0.3. What is the closest to 2\/7 in 1\/3, i, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-3)\/v*v))\/v)\/v**(1\/6))\/(((v**(-6)\/v)\/v)\/v)**(-1\/9))**(17\/3) assuming v is positive.\nAnswer: v**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 2*r - 1. Let c be d(1). Let i = -23 + 29. Suppose 22 = 5*q - k, -i*q = -5*q + 2*k. Solve -1 = -2*p - 2*p - c*w, q*p - 4*w = 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 256782235.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 5\/4, -2\/37, -1\/4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -35 + 43 - 48.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s + 6*s. Suppose -5*r + 215 = 3*z, 0*z + z = s. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a6294 (base 11) in base 3?\nAnswer: -2201022121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Solve z*v + 2*v = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -411176, -1 in decreasing order.\nAnswer: 11, -1, -411176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i*p**2*r**3 + 3*i*p**2 + i*p*r - 41*i*r**3 - 48*p wrt r.\nAnswer: 48*i*p**2*r - 246*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o**2 + 2*o)*(-6 - 31 - 7 - 60).\nAnswer: -416*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29678051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2440227.\nAnswer: 1\/2440227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c + 2*c - 9*c. Does 7 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7647 - 5178. Calculate the greatest common factor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 36 = 3*l. Let b(y) = -1 - 6*y - 2 - y**2 - 1. Let m be b(l). What is the biggest value in -0.4, m, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Solve -9 + p = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*r + 43*r + 45. Let z(h) = -3*h - 9. Determine z(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {o: 4, c: 2, i: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1240\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146943899?\nAnswer: 29, 601, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/23 - 168*n**3\/23 + 3172*n**2\/23 + 281400*n\/23 - 5611250\/23.\nAnswer: -2*(n - 25)**2*(n + 67)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 1, n: 7, l: 2}. What is prob of sequence lbbl?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.56 and -1570.\nAnswer: 879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 6*i + 5*i + 34 - 2*i.\nAnswer: -2*i + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 27*q**3\/4 - 13*q**2\/2.\nAnswer: -q**2*(q + 1)*(q + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -106545526 (base 7) in base 6?\nAnswer: -352423334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*t**3 + 182*t**3 + 30*t**3 + (t - 3*t + 4*t)*(2*t**2 + 2*t**2 - 2*t**2) to the form m*t**2 + x + y*t**3 + d*t and give y.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1567110.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 25*x**3 - 82*x**2 + 56*x.\nAnswer: x*(x - 2)*(x - 1)*(x + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -109, 37.\nAnswer: -109, 37, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254409077?\nAnswer: 13, 37, 599, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -211?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 19)*(4 - 4 - c)*(-25 - 9 + 7).\nAnswer: 297*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 7 + 1)\/((-4)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8120.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5203 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4 - -3) + (94 - 103)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 10*x**2 - 2*x + 3. Let y be p(-10). Suppose u - 5*c - 60 = 0, -c - y - 25 = -u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - p + 8*p)*(2 + 0 - 5)*(-1 + 1 + 2)*(-2 + 6 - 2 + (-2 + 5 - 1)*(-1 + 0 + 3) + 0 - 1 - 1 - 1 + 1 - 2 + 2 - 5 + 5) to l*p + c and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*p - 13 + 69, 4*p - 4 = -2*m. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 = 14*v - v. Let i be -4 + (-305)\/v - 1. Which is the nearest to -0.1? (a) 1\/3 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114652*y**4 + 2*y**3 + 21786*y.\nAnswer: 1375824*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096 a factor of 882350360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 - 16*x**2 + 10*x**2 + 8*x**2 - x in the form i*x + f + u*x**3 + y*x**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*i + 5 = 3*i, -3 = 4*r - 3*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 1. Calculate m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39870239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 3*r. Suppose 11 = 2*d + 5*n, -3*n + 17 = 5*d - 1. Differentiate r*t**3 - 3*t + d*t - 6 wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -24*x - 42. What is k(7)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1988863 - 1302358. Let s = -148505 + q. What is s rounded to the nearest ten thousand?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/12471 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30430 (base 6) in base 11?\nAnswer: -3052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.3, -0.4, -1\/31, -3\/5, 0.48?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 74668*y**2\/9 - 149342*y\/9 - 74672\/9.\nAnswer: 2*(y - 37336)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67201210 is divided by 3619?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 - 6*w**2 + 5*w - 6. Let f(t) = t**3 + t**2 - t. Let g(m) = -6*f(m) - i(m). Determine g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrxx. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/22 - 10\/55. Let f be 23\/n - 2\/3. Suppose -3*b - 15 = -3*h, -f*h + 3*h + 3*b = -20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7795 = -25*f + 1780. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 3*v**5\/80 + 5*v**4\/4 + 25*v**3\/2 - 2*v + 35. Let w(z) = 0. What is z?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653624 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2 - 1210*c**2 + 4*c + 1 + 1215*c**2 - c. Let p(r) = -6*r**2 - 2*r - 2. Calculate 2*j(l) + 3*p(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2279, 4295, 6311, 8327, 10343?\n\"Answer: 2016*j + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*p**2 + 1044*p**3 + 370*p**2 - 380*p + 380*p wrt p.\nAnswer: 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.4495 + -1.5505. Put 0, -0.2, 13, g, -3\/8 in decreasing order.\nAnswer: 13, 0, -0.2, -3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(500))*-3)**2.\nAnswer: 540*sqrt(5) + 4581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 + 5\/25*26. Let t(z) = 6*z**2 + 6*z + 8. Let o(h) = 5*h**2 + 5*h + 7. Let l(w) = y*o(w) - 4*t(w). Give l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 13*t + 2. Let n be o(-12). Suppose 3*b - 49 = n. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -96. Let x(k) = -4*k + 5. Let j(c) = 1. Let m(z) = j(z) - x(z). Calculate m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-19)\/(-4) - 4\/(-16)) + 0. Suppose -c = l, 4*n = 5*n + l - 27. What is the highest common factor of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 777 (b) 519 (c) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 835751495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13842 is divided by 13820?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (6 + 1 - -6 - 8) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8844 and 178860.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4392163 and -3?\nAnswer: 13176489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18096)\/(-18) + (-28)\/21. Suppose w = -o + 5*o - 2*h, 3*o - 753 = -5*h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*j**3 - 38*j**2 - 3625 wrt j?\nAnswer: -96*j**2 - 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004740790007 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 6*m**5 + 8*m**5 - 10*m**5.\nAnswer: 4*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by -109.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let t be h(5). Let d = 58 + -56. Which is the nearest to d? (a) 4 (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*r + 32*r + 3*r - 10*r in the form q + u*r and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 + 5 + (-1 - 2 + 2)*(-3 + 2 + 3))*(-7*a + 14*a - 12*a) - 33*a - 23 + 23)*(6*a + 0*a + 3*a) in the form u*a + n*a**2 + z and give n.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91 - 90 - (4 + -7)) + (-2 - -14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*21\/56 + 19\/10. Let t = -0.1 - -0.2. Which is the closest to -1\/2? (a) 0.5 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 6) + -9 + 1 + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -83*f + 1. Let b(w) = -w. Determine -4*b(n) - s(n).\nAnswer: 87*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7015113 and 1558914.\nAnswer: 14030226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917 divided by -1.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -29. Suppose 0 = 4*r - x*a + 8, 4*a + 17 = -4*r - 15. List the prime factors of 1\/(-2)*(r + -81).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-914)\/(-4) - (-1)\/(-2). List the prime factors of ((-1)\/(-4))\/(3\/r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5 - -1)\/(-16) + 1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9197 is divided by 617.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 1568?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4, o: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86529249.\nAnswer: 3, 19, 168673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 1. Let q(t) = -t**2 - 4*t - 6. Let k be q(-4). Is 12 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-18)*(3 + -5 + (-2 - -4) + -1)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65004 * -184.\nAnswer: -11960736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 2. Suppose 0 = -q - 6 + 4. Let x(z) = 3*z + 2. Let w(k) = q*c(k) + 3*x(k). Calculate the remainder when 3 is divided by w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 42. Let f(r) = 4*r**x - 16*r**3 + 25*r**3 - 10*r**3 + 15*r + 11 + 2*r**2. Let z be f(8). Solve h + 3*w = -8, 2*h + z*h + 7 = -4*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35788038, -71576078, -107364118?\n\"Answer: -35788040*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7208 divided by 8?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -112. Let d(u) be the second derivative of 7\/2*u**g + 4*u + 9\/2*u**2 + 5\/4*u**4 + 0 + 3\/20*u**5. Factor d(v).\nAnswer: 3*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/2 - 34*h**4 - 1350*h**3 + 96955*h**2 - 174181*h\/2 - 572241 = 0?\nAnswer: -53, -2, 3, 59, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15069689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 2. Let l(g) = -1846*g - 3 + 5 - 1 - 2157*g + 2. Let o be l(x). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.7 - -6.16. Let c = -0.3 - s. Let w = c - 31.54. What is w rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, i: 4}. What is prob of picking 4 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8634)\/(-792) - 8\/(-44) and 49\/376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 4) to base 2.\nAnswer: 10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/46416 and 143\/216.\nAnswer: 417744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/5 - 1122*i**4\/5 + 2888*i**3 - 25518*i**2\/5 + 12199*i\/5 = 0 for i.\nAnswer: 0, 1, 11, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 541715541 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {h: 9, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from lllvlvv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 2}. Give prob of picking 2 x and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Solve 2*g + 10 = 0, c*m - 9 = 6*g - 3*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 2*m - 1. Is 6 a factor of z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 + 2736*o**3 + 8262*o**2 - 24624*o - 74115 = 0.\nAnswer: -3, 3, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3 - 2\/6. Sort 5, 4, h, 2 in increasing order.\nAnswer: 2, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319276 divided by -12446?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 5*i + 4*i - 8*i - 31 to the form w + p*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k - 6. Let b be a(9). Suppose 10 = b*q - 2. Solve -q*d = -9*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9980*i + 89823. Let d be y(9). What is o in 0*o - 6\/11*o**4 + 0*o**d + 8\/11*o**2 - 2\/11*o**5 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 400*k**2 + k - 20. Is z(-5) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038 divided by -15562?\nAnswer: 519\/7781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, 164, -3, -11 in decreasing order.\nAnswer: 164, -0.1, -0.2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 + 24*g - 20. Let b be v(11). What is y in 3*y**4 + 30*y**b + 3*y**3 - 21*y**2 - 15*y**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/5 - 64*k**3\/5 - 514*k**2\/5 - 1224*k\/5 - 936\/5 = 0.\nAnswer: -3, -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*y + 0 + ((-2 - 1 - 4)*(-5 + 3 + 6) - 5 - 1 + 2)*(-2*y + y + 0*y) as c + k*y and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m + 427. Let k(p) = 14*p + 425. Determine -3*k(q) + 4*t(q).\nAnswer: -2*q + 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6431960 and 19\/1024560?\nAnswer: 115775280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2255137, 9020555, 20296251, 36082225, 56378477, 81185007, 110501815?\n\"Answer: 2255139*i**2 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67315451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212)*1)\/(sqrt(4) - (1*sqrt(64) + sqrt(64))) - (-5*((2*sqrt(1300))**2 + sqrt(1300)) - (-4 + (-1 + sqrt(1300))**2)).\nAnswer: 201*sqrt(13)\/7 + 27297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1977320323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14101544 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 263, 360, 459, 560?\n\"Answer: v**2 + 94*v + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0*y**2 + 3*y**2 - y**2 - 2*y - y**3. Let w be b(3). Let s(f) = f**2 + 16*f + 19. Let q be s(w). Solve g = c - 0*c + q, 0 = g - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1802 - -518?\nAnswer: 1d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/30 - 2*g**4\/9 - 19*g**3\/9 - 14*g**2\/3 - 2248*g. Factor j(p).\nAnswer: 2*(p - 7)*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/21 - 5*f**3\/6 - 12*f. What is the second derivative of t(s) wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 225*a - 120*a + 240*a + (2*a + 0*a - 3*a)*(0 - 5 + 3).\nAnswer: 347*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 349777, 699556, 1049335, 1399114, 1748893, 2098672?\n\"Answer: 349779*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnzjahzh. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28140010 to the nearest integer?\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/8 - -27\/40. Let u = 195081\/55 + -3548. Let n = i + u. Find the common denominator of -49\/3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 + 0*q**2 + 2*q**2 + 90)*(2 - 1 + 0).\nAnswer: 2*q**2 + 181","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663817 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mepvevw. What is prob of picking 1 e and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0053 - -0.0054052. Round u to 6 decimal places.\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59135921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1)**(6\/11)*b**0\/(b**(2\/13)\/b))**(2\/89))**(1\/3) assuming b is positive.\nAnswer: b**(398\/38181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 803\/(-1460) + 1\/(-4). Let m = 32 - 31. Sort -4, m, 0.3, p.\nAnswer: -4, p, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:43 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 814\/189?\nAnswer: 814\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, d: 10}. Give prob of picking 2 d.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by 86?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 862 = 812. Suppose -n = 4*w - 5*w. Suppose 3*r - 4*r + 3*l = -86, -2*r = l - w. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*b**3*v**2*w - 3504*b**3*w**2 + 2*b**2*v**2*w - 3*b**2*w - 3*b*w**2 - b*w + 9063*v**2*w**2 + 66*v**2*w + 2 wrt w.\nAnswer: -7008*b**3 - 6*b + 18126*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693262955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285143*o**3 - 4*o**2 - 5882477 with respect to o.\nAnswer: -855429*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 6:07 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 42 - 116 + 1464*m + 41 in the form h*m + q and give h.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 559 - 14*v**2 + 13*v**3 - 18*v - 5*v**4 - 561 + 18*v to s*v**4 + r*v**3 + a + i*v + y*v**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2863, -2857, -2851?\n\"Answer: 6*n - 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 54. Suppose -2*j = -4*t - 22, 5*j = -0*j + 2*t + n. Let y = 25 - 7. What is the remainder when y is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = 4*n - 6, 0 = -3*o + 4*n - 6. Let q = 3673\/15 + -245. Which is the smallest value? (a) q (b) o (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*z + 185 + 525 = -117*z. Let v(g) = 3*g**2 + 16*g + 27. Let a(l) = -l**2 - 8*l - 14. Let m(h) = 5*a(h) + 2*v(h). Calculate m(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 591036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14 - f**2 + 5*f + 1 + 3 - 19*f. What is the tens digit of b(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34553367 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*n + 199*n + 1284 = 0. List the prime factors of n.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3880*q**4 + 2*q**2 + 960*q?\nAnswer: 93120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13167 + -5133. List the prime factors of g.\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258038.941 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -p + 3*c + 3, 5005*p - 19 = 5010*p - 7*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 1734480.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -23 - (0 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 16)\/((0 - -2) + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1385*q + 1432*q - 5264 = 0. What is the least common multiple of 208 and q?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -54\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(182\/550) + 6\/(-39). Factor -t*i + i**2 + 2*i**2 + 119 - 119.\nAnswer: 3*i*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1341153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -10.7.\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44245 is divided by 250?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -1624*c - 897*c**2 + 6 - 28 - 2 + 627*c**2 = 0. Calculate c.\nAnswer: -6, -2\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + 87\/12. Suppose z*c - 10 = 2*c. Suppose -3*g + 2*g + 4*u + 20 = 0, c*g = 4*u + 32. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 18*g**2 - 7*g + 58. Determine x(-18).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 26*s. Let k be d(-2). Let w = k - -275. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5747 is divided by 813?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -224425 (base 8) to base 5\nAnswer: -4413203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 + 257. What is the third biggest value in -2\/15, r, 5, -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 312*c - 1246. Let v be n(-4). Which is smaller: v or -2156\/17?\nAnswer: -2156\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 120 = -25*f. Suppose -m = -3*n + f - 191, 2*n = -m + 166. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*c, -q + 33 = c. Let d = 44 + q. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.26 + -0.36. Let j = l + 0.1. What is the biggest value in 1, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2214\/5 + (-44)\/55. Let n = g + 0. Suppose -2*k = -4*m + 3*k + n, 224 = 2*m - k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 10*c - 10. Give d(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 25*o - 1567. Let t be u(62). Let n(m) = 2*m + 24. Calculate n(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-2 + sqrt(480) + sqrt(480))\/sqrt(10) + 6*(sqrt(3) + sqrt(600)\/sqrt(2)).\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4627 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1594255 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**3 + 6*l**2 - 3*l + 2. Let q(y) = -9*y**3 - 12*y**2 + 5*y - 3. What is -5*i(s) - 3*q(s)?\nAnswer: 2*s**3 + 6*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*a - 4, 5*i - 43630 = -5*a. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-7))\/(-1))\/((-6)\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3574 - -335\nAnswer: -3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494927280 to the nearest integer?\nAnswer: 38664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 21 = -i, -4*f + 12*i + 52 = 16*i. Suppose 0 = -4*p + d + 181124, 10*d = 2*p + f*d - 90562. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 0, 2\/5, 1 in increasing order.\nAnswer: -0.3, 0, 2\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10990.\nAnswer: 2, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 66896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by -5\nAnswer: -567\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/42 + 44*q**3\/21 - 288*q**2\/7 + 2449*q. What is t in s(t) = 0?\nAnswer: 8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 7:08 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d7e9 + 0?\nAnswer: -2d7e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1191495, 1191496, 1191497, 1191498?\n\"Answer: x + 1191494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-10)*(-2)\/(-12)*-3*2\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22373906479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.3, -1\/3, -29, 1\/14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i + 39. Determine m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201112 + 103?\nAnswer: -1201003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 - 3*g + 3*g)*(g - 4 + 4) + (-41726*g + 1372*g**3 + 41726*g)*(g - g + g) in the form f*g**2 + m*g**3 + o + q*g**4 + d*g and give q.\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 20, 55, 124, 239?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 3585 = 295. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/246 + 989\/1230. Suppose 0 - 2\/5*t**3 + p*t + 2\/5*t**2 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -398 and -2.8519 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131519471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -479100266039 take away 0.818?\nAnswer: -479100266039.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 104165*w - 208334.\nAnswer: (w - 2)*(w + 104167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 205 = 125 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 825 - 5784\/7. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9116000 rounded to the nearest one hundred thousand?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4450903?\nAnswer: 521, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2025*f**2 - 5318*f + 5316*f + 85 + 189 wrt f?\nAnswer: 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -58*p + 118. Let h be w(2). Suppose 0 = 15*n - 10*n - 3*o - 7, 5*o + 22 = -h*n. Which is the closest to n? (a) 1\/3 (b) 3\/4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -4312?\nAnswer: -4310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 1. Let z(p) = 5*p**3 - p**2 + 1. Let v(o) = -4*w(o) - z(o). What is v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3746, -29004, -97552, -231032, -451086?\nAnswer: -779356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 585, 565, 517, 435, 313, 145, -75, -353?\n\"Answer: -n**3 - 8*n**2 + 11*n + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (465*m - 465*m + 6*m**2 + (-2*m + m - m)*(4*m - 3*m + m) + (-m**2 - 2*m**2 + m**2)*(1 + 4 - 6))*(-2 - 4 + 5) in the form u*m**2 + r*m + o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300885 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3 - 1. Suppose -6*c + 147 = 117. Suppose 3*v - 106 = 4*o, j*o + 43 = c*v - 129. What is the greatest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6288?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248510624?\nAnswer: 2, 17, 456821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258104 by -1676.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630 and 144690?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgkkpt. Give prob of picking 1 p, 1 g, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 + 40*w**2 - 25*w**2 - 2*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -12b614?\nAnswer: 12b618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 10*k - 7. Let i be f(9). Suppose i*c + 1 = 5. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -808*m - 179. Is c(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509 + 270. Let w = -238.999999388 - o. What is w rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -46*m + 1. Let o(w) = -60*w**2. Determine v(o(q)).\nAnswer: 2760*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = 5*l, 2*a - l = 3. Solve -a = 4*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - i - 2)*(96 - 342 - 155 - 17).\nAnswer: 418*i + 418","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4652260 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**3 - 3558*o**2 + 7107*o - 3552 = 0.\nAnswer: 1, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*g**4 + 4\/3*g**2 - 20\/9*g + 8\/9 + 4\/9*g**3.\nAnswer: -4*(g - 1)**3*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22158, 88716, 199670, 355020, 554766, 798908, 1087446?\nAnswer: 1420380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**4\/6 - k**2. Let o = -39 - -40. Let s(j) = 11*j + 12. Let d(t) = -t - 2. Let a(g) = o*s(g) + 6*d(g). Give z(a(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 12*t - 27. List the prime factors of g(-7).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2.251513\nAnswer: 0.2251513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*f, -261 = -647*n + 644*n + f. Solve 0 = -n*a + 76*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11088808 (base 9) to base 6.\nAnswer: -311100442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*h = 7, 5*h + 16 = -4*i + 2*h. Let g be 5\/(-21) + i\/3. Let q = 0.92115 + -1.02115. What is the closest to -1 in q, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1628284905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkt when three letters picked without replacement from {b: 2, t: 1, c: 2, k: 1, q: 1, n: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027.3919 rounded to the nearest integer?\nAnswer: -4027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -5*(3 - 0). Suppose z = 2*q - q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**5\/60 + j**2 + 1. Let x(z) be the second derivative of o(z). Let d(c) = -2*c - 1204 + 1204. Give d(x(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23785903066 from 0.07.\nAnswer: -23785903065.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7616*k**2 - 2935. Let t(s) = -1902*s**2 + 734. Let j(i) = -23*t(i) - 6*z(i). What is the derivative of j(q) wrt q?\nAnswer: -3900*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-3\/5)\/l*l*l**(2\/29)*(l\/(l**(4\/7)\/l))**(-43) assuming l is positive.\nAnswer: l**(-60859\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4776 + -4779. Let z = 1.6 + -2. Which is the smallest value? (a) z (b) p (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 3*g - 8. Let o be p(-15). Let v be (-826)\/(-7)*(-2 - -3). Suppose 0 = -5*t + v + o. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -693530*o**2\/3 - 832616*o\/9 - 152\/9.\nAnswer: -2*(5*o + 2)*(208059*o + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 77 + o**3 - 18*o - 16*o**2 + 70. Let d be t(14). Let l = 7 - d. Calculate the highest common factor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -5\/12*i**4 + 5\/6*i**3 - 1\/4*i**5 + 5\/2*i**2 + 0 + 5*i. Factor c(k).\nAnswer: -5*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 9. Let u be q(-4). Suppose -a + 1 = -h - 2, 3*a - 4*h = 9. Suppose -a*v + 7 - u = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:48 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 38 - 1. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) -2 (c) -13610\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1463741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4\/2 + 295*i**3\/2 - 3795*i**2\/2 - 295*i\/2 + 1900 = 0. What is i?\nAnswer: -1, 1, 19, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 at most -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*m = 7*i - 4, -18 = -3*i - 2*m. Let d(v) = -4*v - 4*v**2 - 3*v + 3*v**2. Let f be d(-7). Solve -4*s = -w - i*w + 33, f = 3*s + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -230 - 40*b + 61 - 185. Let k be z(-9). Solve -2*p = -5*p - k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + b + 0.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 16*c = -1470. Let x = c - -185. Let w(s) = s**3 - 2*s**2 - 6*s + 4. What is the remainder when w(6) is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 207*m - 2511\/4.\nAnswer: 3*(m - 279)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1371 minus 146?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**3 + 25*l**2 - 18*l + 16. Let k(q) = -7*q**3 - 12*q**2 + 8*q - 7. Give 5*k(v) + 2*y(v).\nAnswer: -5*v**3 - 10*v**2 + 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 2, b: 3, e: 1, a: 5, i: 6}. Give prob of picking 1 i, 1 q, and 1 e.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a + 5*v, -2*v - 4 = 5*a - 15. Let g be ((-28)\/6)\/(2\/a). What are the prime factors of 0 - (2\/(-1) + g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127.121 + 5.121. Which is the closest to -0.1? (a) 0.1 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2 = -t - 3*s, -3*s - 6 = 0. Suppose 4*q + 5*z - 36 = -9, -2*q - 6 = -t*z. Let k be ((8 - 0) + -3)\/1. Sort -5, k, q in decreasing order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = s + 253, 0 = 3616*f - 3619*f - 2*s - 13 - 136 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 27 - 13. What are the prime factors of 411 + 6 + -5 + d + 2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842971585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5*m + 3*m)*(-4 + 0 + 8)*(-2*m - 2*m + 5*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/14 - -2) + 18\/(-63). Let p(u) be the first derivative of 1 - 12\/7*u**2 + 15\/7*u**4 + 10\/7*u**5 - 22\/21*u**3 + w*u. Factor p(k).\nAnswer: 2*(k + 1)**2*(5*k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912, -925, -952, -999, -1072, -1177, -1320, -1507?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2275 - -9147\/4. Which is smaller: m or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**2 - 3*h**3 - 6*h**2 + 10*h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 28 - 8 = 78 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d - 11. What is the tens digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/30)\/(1 + 30\/(-27)). Solve 3*v + z = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19580 and 8.\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(0 + (4 - 156\/(-8))). Is 0 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3676427.\nAnswer: 503, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.82 - -3. Let y = -7.819166 + i. What is y rounded to 5 dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-1379.\nAnswer: 37233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22*n**2 - 4*n - 4. What is the hundreds digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100399 divided by -700133?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6080761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -1449, -1467, -1493, -1527?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -3)*(2 - 2). Sort b, 2, -9 in decreasing order.\nAnswer: 2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 5*f**2 - 8*f - 11. Let z be w(-6). Let i(x) = 2*x**2 - 4. Let l be i(2). Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 23*r - 75. Is 12 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 + 7*b**3 - 1306038*b**2 - 10841677*b wrt b.\nAnswer: 24*b**2 + 42*b - 2612076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/4 + 8*i**3\/3 - 4*i**2 + i. Let o be g(-6). Solve -o*r = -6*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12020121020 (base 4) to base 14\nAnswer: -2dba2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3277, 6107, 8097, 8827, 7877, 4827, -743, -9253?\nAnswer: -21123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 13 (c) 4 (d) -0.4 (e) 43579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 86. Is s 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 1184 and 16?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 69 = -14*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278203 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = 3*c + 3, s = -2*c. Suppose s*d + 4*i = 304, 2*i - 277 = -3*d + 171. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1046\/(-378) - 3*(-12)\/126 and -91\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22754 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 + 852 = 8*l + 1527 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3978 and -79\/156.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -8*n - 79. Suppose -13*t + 2286 = -n*t. Is t <= 254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*l + 3*v + 28, -6 = 9*v - 6*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 + 1 = u, 2*u = 4*d + 8. Suppose -3*q + u - 16 = 0. Let j = q - -3. Sort 2, -2, j.\nAnswer: -2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5131 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/10 - s**4\/4 - s**2 + 6*s. Let y(z) = z**2 + 1. Determine -j(v) - 2*y(v).\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 870847, 870909, 870971?\n\"Answer: 62*h + 870785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*c = 27, 5*c + 44 - 109 = 5*a. Let p be (1\/2)\/(2\/a). Let j be (-1 - -16)*(-1)\/p. Solve j*y = 19 - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/(-70))\/(311\/310 - 1). Calculate the remainder when 1\/((8\/w)\/2) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 5. Let f be a(2). Suppose -2*u - 33 = -f*m - 0*m, 0 = -2*m + 4*u + 30. Calculate the greatest common divisor of m and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 381*b + 81478. Determine y(-214).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-8) - (-290850)\/240?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**4 + 16 - 16)*(3 + 5 - 7) + (-5*m + 5*m - 11*m**2)*(-28*m**2 - 19*m**2 + 45*m**2 - 1 - 8*m).\nAnswer: 40*m**4 + 88*m**3 + 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from {e: 2, i: 1, s: 5, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001543 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*c + 99456*c**3 - 99458*c**3 - 268*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 21211212111?\nAnswer: 21211211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 804*d - 17. Let z(t) = 134*t - 3. Calculate -6*v(c) + 34*z(c).\nAnswer: -268*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 803330 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 4:37 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2462.2 + -1.\nAnswer: -2463.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 - 79 + 220)*(3 + 4 - 2)*(2*c - 4*c + 0*c).\nAnswer: -2860*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7430 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -50*d - 790. Calculate j(-13).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Let b = i - 3. Suppose -3*o = -0*o - 4*t - 22, b*t - 10 = 0. Solve 0 = -3*x - 6, 4*f = 2*f - 3*x - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:38 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*n + 8 = 0, 2*a + 0 = 4*n + 14. Suppose -a*p + 3*r + 11 = 0, -10 = -p - 2*r - 0*r. What is the common denominator of 59\/2 and p\/2 + (-10)\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a factor of 4354873974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 76, 5, 4\/9, 12\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r. Let x(m) = -15*m. Give -12*s(v) + 4*x(v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 14*k**2 + 2*k - 17. Let b be j(14). Calculate the greatest common factor of b and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**5\/20 + i**4\/8 + 3*i**2. List the prime factors of z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-378)\/(-6))*6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 4. What is p(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 13. Let q = -191186 + 191198.6. Which is the nearest to q? (a) d (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2. Let w(s) = -2*s + s - 3*s + c*s + 5. Calculate w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 0*p**4 + 8*p**2 + 2567*p - 2564*p - p**3 + 2 in the form g + a*p**2 + z*p**4 + k*p + o*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21902 plus 4?\nAnswer: 21906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 - 4*v + 6. Let a(o) = o**2 - 5*o + 4. Let m be a(6). Let p = -5 + m. What is the least common multiple of 10 and s(p)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 7*u + u)*(-1 + 1 - u**2).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-2))*t**(2\/29) assuming t is positive.\nAnswer: t**(60\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1805\/4179 - -2\/597. Which is the nearest to -1\/4? (a) t (b) -0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.8 (b) -1\/7 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 1. Let d(x) be the third derivative of 0*x - 1\/24*x**4 - x**2 - 1\/6*x**3 + 0. Give -d(j) + y(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**3 - 5*b**2 - 7*b - 4. Let h be k(-4). What is the highest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18806.625785 and 11504.\nAnswer: 30310.625785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*l + 64 + 279 - 7. Let j be (-3 + 2 - -1)\/3. Solve -4*h + b + j*b = 18, 4*b = -l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8777?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**2 - 22*k - 100. List the prime factors of m(-7).\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 13*z + 53713 + 15*z**2 - 53713)*(-4*z + z + 5*z) - z**3 + z**3 + z**4.\nAnswer: 5*z**4 + 30*z**3 - 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17996 = -13*q + 2*q. What are the prime factors of q?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(1*-2))\/2. Let v = 1362251\/908162 - 4\/454081. Factor -d - v*g + 10*g**2.\nAnswer: (4*g + 1)*(5*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*s + 4029 - 4029)*(-1 + 8 - 3 - 7 - 3).\nAnswer: 624*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*0\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4850.6967 microseconds to hours.\nAnswer: 0.00000134741575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-931)\/(-532))\/(147\/120)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10\/19 (b) 0.05 (c) 2 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13853 is divided by 6814?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 5. Let s be 0 + 4\/18 + 830\/(-90). Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 696\/65 - -6\/65. Let s = -466\/45 + i. Suppose -10\/9*x**3 - 4\/9*x**2 + 10\/9*x + s = 0. What is x?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2177 - -2178. Let g = -299\/7 - -43. Is b less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/1451 (b) -0.35 (c) 5 (d) -2 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*p**2\/4 - 141*p + 9.\nAnswer: 3*(p - 6)*(31*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -903, -1759, -2629, -3519, -4435, -5383, -6369?\n\"Answer: -s**3 - s**2 - 846*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 at most 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/36 - 23195\/(-30). Is c less than 773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 2\/7, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -62\/3, -139, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 177 + 2823 = -9*h. Is h > 294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 18. What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.048643 and -0.075.\nAnswer: -0.026357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -1461, -2885, -4761, -7089, -9869, -13101?\nAnswer: -16785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:52 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Suppose 5*o + 15 = -5*t, 3*t - 7*t = 12. Let q be c(o). Suppose q = -u - 13 + 42. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/497 and -29\/1033476?\nAnswer: 7234332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -46*i**3 + 2*i**2 - 1. What is u(1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -69?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1968)\/72*(-17 - 1) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*w - 11, -3*w + 4 = 5*m - 16. Suppose -w*z - p + 2*p = -870, -4*p = -20. What is the highest common factor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -24. Let i = -10.03 - b. What is i rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 24700 = -8*g. Suppose 6*j - 424 = -b + 2*j, 3*b - g = -5*j. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 + 480*p + 8 + 18*p.\nAnswer: 498*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -16, 2, -2326078, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1724*g**2*q**2 - 5*g**2*q - 145*q**2 + 87*q wrt g.\nAnswer: -3448*g*q**2 - 10*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l - g = -6, -14 = -5*l + 3*g. Suppose -l*a + 179 + 21 = -j, -2*j = -2*a + 106. Calculate the remainder when a is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 0*w = -42. Suppose -4*y = -s, w*y + 45 = 4*s + 2*y. Solve 5*j + s + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7633 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*((sqrt(102) + -1*sqrt(102) - sqrt(102)) + sqrt(102)) - (-2*(sqrt(102) - sqrt(102)*2) - sqrt(102) - sqrt(102)))\/(3*sqrt(30)\/sqrt(5) + sqrt(96)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z + 111. Let h be y(-19). Let k = -279 + h. Solve 5*c = 2*d + 9, 3*c - 2*d = 4*c + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -14612*d - 28405724. Determine o(-1944).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 3*h**2 - 3*h + 5. Let b be i(3). Let s = 9 + b. Solve -s*o = -15 + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2486, 5091, 7698, 10307, 12918, 15531, 18146?\nAnswer: 20763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 + 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 1051?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**6\/24 - o**5\/4 + 5*o**4\/8 - 5*o**3\/6 + 5*o**2\/8 - o\/4 - 5. Factor c(d).\nAnswer: (d - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067957*u**2 - 11*u**3 + 1067957*u**2.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.377297 micrometers?\nAnswer: 0.008377297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28486, 54712, 80938, 107164, 133390?\nAnswer: 159616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.728 and -3.\nAnswer: -98.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {v: 5, s: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from uyyyyuoouyyuj.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 11) + (2 - (0 + -10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y - 8*y**3 + 0 - 13*y**2 - 19\/12*y**4. What is the derivative of v(k) wrt k?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*z - 86, 4*z - 82 = -7*m + 4*m. What is the lowest common multiple of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*y + 532 = 1180, 0 = 5*l + 6*y + 806. Is l < -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345160 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 4, p: 2, l: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 40462695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*r = 325 + 111 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2))**32*(j*j*j**6)\/j**(2\/5))**(-29) assuming j is positive.\nAnswer: j**(1218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i. Let q(w) be the third derivative of -w**5\/30 - 33*w**2. What is q(j(s))?\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-1) - 532\/(-56))*(-428514)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s + 2*s)*(-s + 2*s + s + (-2 + 3 - 13)*(-s - 1 + 1) - 6*s + 3*s - 6*s).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -115*v. Let l(k) = 272270*k**2. Calculate l(y(u)).\nAnswer: 3600770750*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 77*p - 2. Let v(d) = 3*d**2. Give w(v(r)).\nAnswer: 231*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2 - 2. Suppose 2*k - 12 = 3*l - 52, 5*l - 70 = 4*k. Let f(d) = 2*d - l + 10. Determine i(f(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 2*o**2 + o - 1. Let a(l) = -2*l - 16. Let i be a(-9). Let u be y(i). Solve b = 4 - u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36415?\nAnswer: 5, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 0 - 4*l - 4 - 9*l. Let o be t(-10). What is the second derivative of -6*g**4 - 4 + 4 - 2*g + o*g**4 wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*27.04855\nAnswer: 1.3524275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-13)*j*j**(-2\/9)\/j*j*j*j**6*j*((j**0\/j*j)\/j)**(-1)\/(j\/j**1)**(7\/6) assuming j is positive.\nAnswer: j**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(24)\/sqrt(4))*-2 + sqrt(24)\/sqrt(4)*2)\/(-3*5*sqrt(8))*4.\nAnswer: -4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 69670 + 70230 = 0 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 11 + 6. Suppose -t - 2*t = 3*c - 6, -c + 2*t + x = 0. Suppose -c*w = -12*w + 5245. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 11*v = -3*d - 34, -3*v + 3*v = -3*v + v - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 65*j**2 + 31*j - 34. Give t(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*h**5 + 0 - 4\/7*h - 2\/7*h**4 - 6\/7*h**3 + 10\/7*h**2.\nAnswer: 2*h*(h - 1)**3*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1)*16\/384?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 1 - 1 - 62*y**2 + y.\nAnswer: -62*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - j + 0 = -10, -j = 4*x - 31. Let l be (-8 - -4)*x\/2. Let w(c) = c**2 - c - 1. Let q(p) = p**3 + 7*p**2 - 7*p - 7. Determine l*w(v) + 2*q(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-15660822\nAnswer: 62643288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 137*z**2 + 224*z - 7533. Give w(-139).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3125 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1 + ((-390)\/(-1))\/(-3). Let z be 36\/m - 1340\/14. Let l = z + 215. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4309 + 4954. What is the greatest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/6 - 9*n**2\/2 - 2*n. Let k be x(6). Let c(a) = -a**2 + 2*a + 3. Determine c(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) + (-103070)\/(-132). Suppose -4*f + 3*h + m = 0, -4*f - f = -h - 968. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 68*z**2 - 261047*z - 261045. Give y(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916152670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -21*g - 290. Let d be u(-14). Let k = -584 + 597. Put k, -5, d in descending order.\nAnswer: k, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 6. Let a be m(-6). Suppose 2*z + a*z + 4 = 0. Let i(l) = -4 + 4 + 2*l - 2. Calculate i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35, -2\/7, -0.23, -2, -0.3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11501.821 to zero decimal places.\nAnswer: 11502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/320)\/(-2 + 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/245 + 2*l**6\/105 - 2*l**5\/105 - l**2 - 20*l. Factor j(o).\nAnswer: -2*o**2*(o - 2)*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(27)*-2*6)\/(sqrt(900)*-2 + sqrt(900)))**2.\nAnswer: 216\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:40 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 w when four letters picked without replacement from mvmmmvwvwvvvwv.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 12*g**2 - 11*g - 16. Let r be h(-12). What is r rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*16\/(-12))\/((-126)\/270*110)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 74, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 4 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(153)*3*6)**2.\nAnswer: -108*sqrt(17) + 49568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 22. Let w(i) be the first derivative of -17*i**2\/2 + 13*i - 318. What are the prime factors of w(m)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439\/(-271)*(-60)\/(-36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 + 6*q**3 - 7*q**2 - 38*q\/3.\nAnswer: q*(q - 2)*(q + 1)*(q + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11435 = -26457. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 168\/13?\nAnswer: 168\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -231340 (base 6) in base 12?\nAnswer: -b550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f. Let c(u) = -138*u. Suppose 0 = 401*n - 642 + 3048. Give n*c(q) - 39*y(q).\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 5 - 16*l - 5 to the form v + h*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*i - 2 = i, 2*i = -2. Suppose -c*z + 34 = -106. Suppose -n + 28 = -z. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 8*c - 1. Let m be n(-10). Let l = -23 + m. Let o be (7\/(-4))\/((-1)\/l). Let g(b) = -b + 9. Let r(z) = -z + 10. Calculate o*g(s) + 6*r(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 11 = -r, 5*a - 185 = -2*r + r - 156 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -995362 take away 82?\nAnswer: -995444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = 5*x. Suppose -5*l + 1 = 2*u + x*u, -4*l = 12. Suppose -170 = -u*p - p. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:13 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43510, -174072, -391674, -696316, -1087998, -1566720?\n\"Answer: -43520*x**2 - 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1723*a + 3457*a - 1731*a. Let f(b) = 184*b - 2. Give o(f(d)).\nAnswer: 552*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6))**22)**(-27) assuming p is positive.\nAnswer: p**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/5 + 332\/35. Let j(o) = -o**3 - 6*o**2 + 1. Let l be j(-6). Which is the nearest to 0.2? (a) l (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1260)\/(-288) - (-9)\/(-24). Let v(w) be the first derivative of 0*w + h - 15\/2*w**2 + 0*w**3 + 2*w**4. What is the second derivative of v(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1, -5, -17.\nAnswer: -33, -17, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, -284, -255, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, 1\/21, -255, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 11*k - 25. Let f be x(6). Suppose 3*j - f - 5 = -a, -5*a + 126 = -4*j. Calculate the remainder when 128 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3987 + -49181\/15948. Let y = -13148 + 236591\/18. What is the common denominator of y and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*r**3*y**2 + 8*r**2*y**2 - 8*r**2 wrt r?\nAnswer: -792*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 2*m**2 + 8*m - 5. Let y be j(-7). Let p be y\/(-1) + (-7 - -3). What is the units digit of p\/(-6) - (-12)\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 211, 579, 1193, 2053, 3159, 4511, 6109?\n\"Answer: 123*d**2 - d + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -7.7?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309053561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbbm when four letters picked without replacement from {a: 6, m: 9, v: 2, b: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33078627 is divided by 390?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(1377) + sqrt(17))**2 + (-2*(sqrt(68) + sqrt(68) + 1))**2.\nAnswer: -608 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7354 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*s**3 - 74*h**3*s**2 - 82152*h**2*s**3 + h*s**2 + 4*h*s - h wrt s.\nAnswer: 6*h**3 - 492912*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -16, -2 in descending order.\nAnswer: 0.2, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 67211896\nAnswer: -67211900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 35*q + 3*y = 12, -5*q = 5*y - 80 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 14. Let z(m) = -7*m**3 - 5 - 700*m + 7*m**2 + 700*m. Let v(w) = 10*w**3 - 10*w**2 + 7. What is q*z(b) + 5*v(b)?\nAnswer: b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1724375 or -1724368?\nAnswer: -1724368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - -6 - (4 - 0). Let u be 1\/(7\/k + -1). Let t(j) = -j**3 + 7*j**2 - 2*j + 5. Calculate the remainder when t(u) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + 138. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 + 11?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -603, -556, -509, -462?\n\"Answer: 47*x - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006527402 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 2*i + 1 - 8*i**2 + 0*i**2)*(745*i**2 + 10410*i - 10410*i) as a + n*i**2 + z*i + u*i**4 + k*i**3 and give n.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -53.485. Let r = 0.4829 - s. What is r rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172587 is divided by 4359?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 21. Let r = 18 - f. Solve -g + 4 = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*o + 5*y - 1, 0 = 2*o - 4*y + 10. Let f = -0.1 + -0.3. Sort o, f, 1 in decreasing order.\nAnswer: 1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggddgdgggzddggwzz. What is prob of picking 2 w and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -22. Find the third derivative of -2*z**a - 8*z**2 + 4*z**2 - 8*z**5 wrt z.\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*b + 3 + 11, 7 = 2*q - 5*b. Let m be (-4)\/q + (-40)\/(-6). Let k = -5 + m. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) -0.3 (c) -1 (d) 6133 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + b - 2*b**4 - 1 - 1 - 3*b**3 to the form h*b**3 + y*b**4 + w*b + u*b**2 + j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*l**2 - 16*l**2 - 17*l + 6*l.\nAnswer: -100*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.6 in 21, -5, -10872?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -587830\nAnswer: -1\/58783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Suppose 5*n - 79 = d*a, a - 40 = -2*n + 5*a. Find the second derivative of -n*g**2 - 3*g + 3*g + g wrt g.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/70 + y**4\/42 + y**3\/21 - y**2\/7 - 3*y. Factor x(b).\nAnswer: -2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = i + j, 0 = -0*i - 3*i + 5*j - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.448 - 0.039.\nAnswer: -0.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 991236 = -96*q - 12*q. List the prime factors of q.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1216160.\nAnswer: -486464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 76 + -41 - (-2 + 13 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(1 + 3) + 13. Suppose -229 = -y*v - d, -13*v + 18*v - d = 231. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 131, 316, 579, 926?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 (base 11) in base 6?\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1718 divided by 1\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -50372 * 0.0399\nAnswer: -2009.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00399 to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 22*i = -4*i + 39 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4629.421 decades in years?\nAnswer: 46294.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000099224584 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(2142\/459)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/8)\/(3395\/3392 + -1)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -13204761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12bb3 (base 15) to base 16\nAnswer: ea72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6399 - -0.3601. What is the closest to w in 2.4, 4, 2\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 456 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/26 - (-252)\/52. Suppose 203 = -c + 2*c + w*z, 3*c = -4*z + 609. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 6 + 6*j - 8*j - 23*j**3 - 47*j**3.\nAnswer: -70*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*3\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - s = -0*a + 69, 0 = -4*a + 5*s - 39. Let d = a + 23. Let z(b) = b**3 - 9*b**2 + 7*b + 9. What is the lowest common multiple of z(8) and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21184, 84812, 190990, 339826, 531428, 765904?\nAnswer: 1043362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -1, -0.3, 5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = n - 0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -3)*(0 - 1)*64\/256. Let g(m) be the second derivative of p*m**2 - 1\/4*m**4 + 4*m + 0 + 3\/2*m**3. Factor g(k).\nAnswer: -3*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40723.\nAnswer: 193, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*z - 32 = 0, 3*n - 4*z = -z + 87. Let m(s) = 300*s - 7497. What is the least common multiple of m(25) and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = 27*y - 682 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181793233*j**2*u - 4637*j*u + 135*j - 6*u wrt j?\nAnswer: -363586466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-3 + -4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330 - -332. Factor 5*k - 8*k**3 - 3*k**4 - 4*k**f + 1018 - k**4 + 3*k - 1012 + 2*k**4.\nAnswer: -2*(k - 1)*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 + -4.96. Let u = i + 0.65. Let s = -0.09 + u. What is the closest to 1 in -1\/3, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936270 less than 936267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-9 - (5 + -5 + -5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m. Let y(p) = 1925*p**2 + 8. What is z(y(s))?\nAnswer: 7700*s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*f**6 + f**5 + f**4 - 3*f**2 - 2*f - 192 wrt f.\nAnswer: -13680*f**3 + 60*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114281*h**2 + 5243 wrt h.\nAnswer: 228562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 + 29)\/(9\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81271 + 81271 + 8372*w)*(2*w - 2*w + 2*w**2).\nAnswer: 16744*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 140*g**2 + 1386*g - 58. Determine c(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.181, -41, -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44718 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4 - d**3\/3 - d**2\/2 + 2*d + 34. Let g(f) = f. Let m be g(-2). What is the tens digit of r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:50 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x - 1. Suppose -w = -4*y + 15, 0 = w + 2*w - 2*y - x. Suppose 0 = -4*h + w*h - 26. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 5014.\nAnswer: 20056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169.5 - -171.299. Let f = -0.079 + i. What is f rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 - -233953044507?\nAnswer: 233953044506.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 360317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, -107, -1\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, 134, 4, 44 in ascending order.\nAnswer: -14, 4, 5, 44, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + (108 - 39) - (54 - 48).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/12*3)\/(1\/(-29))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6664?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820 = -30*v + 60 - 40. Let z = 29 - -17. Let g = z - v. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17788\/(-3)*((-5 - -5) + (-84)\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2136236, 4272473, 6408712, 8544953, 10681196?\n\"Answer: u**2 + 2136234*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*(((sqrt(220) - (-4*sqrt(220) + sqrt(220))) + sqrt(220))\/sqrt(11))\/(sqrt(1210)*2))**2.\nAnswer: 1435\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24394, -2\/25, -0.0041.\nAnswer: -2\/25, -0.0041, 24394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, u: 9, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 4. Let k(l) = -2 + 5 + 1 - 8. Let y(p) = -4*k(p) - 5*m(p). Suppose 34*i + 27 = 25*i. Give y(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 612147207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-1)\/((-2)\/18)*(12 + 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 34 = -x - 4*n, -5*x + 4*n = -55. Suppose 2*f - 121 = -3*j, 0 = -2*f - 2*j + 5*j + 103. Calculate the greatest common divisor of x and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z - 3*z**2 + 114*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73409516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194309615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -93ed (base 15) to base 14\nAnswer: -b57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 14\/18091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.711, 10 in increasing order.\nAnswer: -0.711, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -284*d + 267*d. Let c = 12 - 7. Sort -11, d, c in ascending order.\nAnswer: -11, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 712 - 711.96. Which is the fourth smallest value? (a) z (b) 0.4 (c) 0.199 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*f + 231*f - 220 = 0. Calculate the remainder when 535 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 2*j**3 + 2*j**5 + (-77244 + 77244 - 166*j)*(-2*j**4 - 1 + 1))*(0 + 1 + 0).\nAnswer: 334*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 0.2 in descending order.\nAnswer: 0.2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -5*i**4\/6 + 5*i**3\/6 + 8*i. Find the second derivative of g(k) wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -799*o**2 + 644*o + 1. Let j(h) = -798*h**2 + 650*h + 1. Let z(q) = -6*j(q) + 7*u(q). What is the second derivative of z(t) wrt t?\nAnswer: -1610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 9}. Give prob of sequence sss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 0*v - 2*v**2 - 9 - 2*v - v**3. Determine k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Let k(n) be the third derivative of n**6\/360 + n**4\/3 + n**3\/2 + 4*n**2. Let t(p) be the first derivative of k(p). Give t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**3 + p. Let x(k) = k**3 - 7*k**2 + 7*k - 8. Let h be x(6). Let c be -7*(0 + h)\/14. Determine l(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/9 + 31262\/6 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from addiyidcadic?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 3*a**4\/4 - 6*a**2 - 2*a. Differentiate v(p) with respect to p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6290\/(-481) + 13)*13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 308288696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 62*h**2 - 5*h - 2*h + 2 - 5. Let f be k(-2). What is f rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -211.7. Put m, 0.4, 81\/5 in increasing order.\nAnswer: m, 0.4, 81\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 3*n - 1. Let p(o) = -10*o**2 + 8*o + 2. Let i(h) = -2*p(h) - 7*t(h). Let l be (-1)\/1 - (-2 - 2). Suppose l*c = 16 + 2. Determine i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17. Let b(n) = n**3 - 7*n**2 + n - 5. Let z be b(7). Suppose q - z*q = g. Sort -4, q, 3 in decreasing order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 87 = 6*a + 45, 90 = -3*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-9*(-1)\/555). Let h = 2777\/3 + p. Factor 2\/3 - h*o**3 - 11\/6*o - 19\/6*o**2.\nAnswer: -(o + 1)*(o + 4)*(4*o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:33 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*t - 5, -2*t = 3*y - 1 - 5. Suppose 1 = -y*v - 7. Let n(q) = 3*q**2 + 3*q + 2. Let w(h) = 7*h**2 + 7*h + 4. What is v*w(c) + 5*n(c)?\nAnswer: c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let u(d) = -48*d**2 + 2*d + 4. Let n(j) = 192*j**2 - 9*j - 18. Let v(q) = 2*n(q) + 9*u(q). Calculate v(f(i)).\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -978 or -975?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 107 - 274 - j + 98 + 96. Let n(o) = -o + 26. Calculate 4*a(r) - 5*n(r).\nAnswer: r - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 676 + 11 = 0. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d + d)*(2 + 0 - 5) + 0 + 0 + 2*d - 2*d - 3*d + 10*d + 3*d + 0*d - 4*d + d - 1 + 1 + (0*d - d + 0*d)*(-4 - 1 + 4) to o*d + j and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -608 + 3567. What is the smallest common multiple of i and 269?\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 - (-2 + -1). Suppose -6 = -r*c + 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Suppose -3 = -2*y + 1. Let g(z) = -4*z + y*z + z. What is d(g(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/390082 and 149\/72590.\nAnswer: 118975010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 9258048?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 30. What is the least common multiple of a(6) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402978 (base 11) to base 9.\nAnswer: 1186844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16140*k - 98591?\nAnswer: -16140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**3\/6 + 12*r**2 - 2*r. Let u(a) = -4*a + 40. Let p be u(10). List the prime factors of s(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-22)\/(-8))\/(((-35)\/260)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 388 + (-4)\/(-16)*-4. Let t = d + -384. Put t, 0.9, -5 in ascending order.\nAnswer: -5, 0.9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 14.5\nAnswer: -101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123 * 0.231.\nAnswer: 28.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.8 - -8.2. Let g = -36.09 + w. Let p = 2.12 - 0.12. Which is the closest to -1? (a) g (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -30, -6, 10, 12, -6, -50, -126?\n\"Answer: -v**3 + 5*v**2 + 18*v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and (1\/(-18))\/(8\/(-654)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*c - 11 - 16, 5*c = -2*t + 33. Factor 4*f**2 - 9*f**2 - f + 0*f + f**3 + f**4 + t*f**2.\nAnswer: f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26110.1 to the nearest one hundred.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**3 + 82*d**3 + 202*d**3.\nAnswer: 263*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**6*o**(-7)*(o*o\/o**(-2\/29))\/o**(-2\/19))**(-24\/7))**(1\/34) assuming o is positive.\nAnswer: o**(58356\/65569)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 2 (c) 102 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 11. Let g(x) = -10*x - 2*x + 8*x + a. Let d be g(4). Put 4, 0, d in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 150461, -0.4 in descending order.\nAnswer: 150461, 0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-54)\/30)\/(30\/100)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 16*t + 5. Calculate l(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 4*b)*(0 - 1 - 7).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58898.\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 + 18 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18026181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2247675.00172 + -2247629. Let w = 46 - k. What is w rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34304*t**2 - 8570*t wrt t?\nAnswer: -68608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*r - 24 = 0, -3*u - 5*r = -0*r + 24. Which is the smallest value? (a) 0 (b) -8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 24*w + 107 = -7*w + 7*w, -29*w + 103 = 2*o - 18*w for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3) + (-2)\/12*4. Is -4\/7 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 5803380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*y - 3908 + 35551 = -3604 - 11351 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16474918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.2 - -12.3. Let r = b + -4. Is r less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 0 + 1\/6*d**3 - 5\/24*d**4 + 42*d**2. Determine z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/2275)\/(6\/(-14))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6389.742 centimeters?\nAnswer: 63897420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 20\/4 - 4. Let x be (3 + (-13)\/5)\/(g\/(-45)). Let k(a) = 33*a - 38*a + 0 + x - 1. Let n(d) = d - 1. Calculate -k(s) - 3*n(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upjl when four letters picked without replacement from {l: 4, j: 6, u: 1, k: 1, p: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2. Let g(y) = 8*y - 43054. Give g(v(r)).\nAnswer: -88*r**2 - 43054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317156 (base 8) to base 15.\nAnswer: 2167e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 48*i + 80. Let k be a(-3). Let b = -61 - k. Calculate the smallest common multiple of 90 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**3 + 4*v**3 - 12*v**3 - 35*v**3.\nAnswer: -65*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 710930*k**2 - 14218500*k + 213277000\/3.\nAnswer: -(k - 2132770)*(k - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 47, 75, 113, 161, 219, 287?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 869636 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + 3394?\nAnswer: 33ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.3 - -73. Let n = -4.9 + l. Let g = 5 + -1. What is the nearest to 0 in 0.3, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5682 minus 31246.311?\nAnswer: -36928.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -132683, -132654, -132609, -132542, -132447, -132318, -132149?\n\"Answer: r**3 + 2*r**2 + 16*r - 132702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21120787, 21120784, 21120781, 21120778, 21120775?\nAnswer: 21120772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 1311.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69295*p - 69138*p = -8478 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a + 28. Let z be g(-17). Let b be (-3 + 1)\/((-4)\/z). What is the first derivative of 8 + 73*o + 76*o - b*o wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 57. Let w(g) = 2*g**2 + 19*g - 17. Let m(s) = -3*s**2 - 28*s + 26. Let h(y) = 5*m(y) + 7*w(y). What is the tens digit of h(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445 (base 6) to base 15\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-30)\/(-480)*-40*(-1)\/130)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 23. Let u be (-108)\/d + 3 + 1. Suppose -2*z + 12 = v, -2*v = -0*z - 4*z + u. Solve z*x = -4*j - 11, 4*j + 4*x = -2 - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(114\/38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70898055 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198\/119 - -21\/17. Let m = -4 + -5. Let o = 9.1 + m. Put 1, k, o in increasing order.\nAnswer: k, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s**2 - s - 4. Determine l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18283 + 18582. Calculate the greatest common divisor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 5. Suppose 6*q = -2*q. Give o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3648107 + 30?\nAnswer: -3648077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248497857\/1639477 + -2\/234211. Let d = j - -151. Let t = 1.05 - 0.05. Which is the nearest to 0? (a) -0.2 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41812 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 267, 478, 555, 432, 43, -678, -1797?\n\"Answer: -11*z**3 - z**2 + 291*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -241096, -482187, -723274, -964357, -1205436, -1446511?\n\"Answer: 2*f**2 - 241097*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 979\/70)\/(((-6)\/(-4))\/((-180)\/(-15))).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/8 - 18\/24) + 2. What is the units digit of ((57 - p) + -8)*26\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4268 + -4884a?\nAnswer: -44592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 5, 0 in ascending order.\nAnswer: -12, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.93 + 40. Suppose -25 = 10*l + 75. Let y be 22\/l + -3 + (0 - -6). What is the third smallest value in 1, y, u, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247.527 + 0.473. Let j = -248.000078 + z. Round j to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(11\/17886 - 0). Let i = 407 - k. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b + 109*b + 56*b + 58*b - 341*b + 58*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2077.6 and 0.307?\nAnswer: 2077.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43206, 86392, 129560, 172710, 215842?\nAnswer: 258956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 938.8 - 938. Let j be 2\/(1 - 5*2\/30). What is the biggest value in u, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g**2 - 15*g + 73. What is j(5)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n**2 - 11. Let k(l) = 8*l**2 - 6. Suppose -234*s + 33 = -231*s. Determine s*k(m) - 6*d(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 312765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(224\/63)\/(-8)*(-34)\/8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251 - -366. List the prime factors of l.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/96 and 5 - (7 - -2) - (-12 + 850\/120)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -125, -5, -1 in descending order.\nAnswer: 4, 3, 0, -1, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 232*m**3 + 1683*m**2 + 2374*m - 3824 = 0 for m.\nAnswer: -239, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w**3 + 1. Let s be i(1). Let l = s + 33. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 7*n**2 + 5*n + 1. Let k be j(-8). Suppose 6*v - 2*v = 100. Calculate the greatest common divisor of v and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*u + n + 46, u = -n + 8. Let k(m) = -4*m + 4. Let v be k(2). Let g be v\/8 - (-27)\/6. Solve g = 5*q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574953140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 414.\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 62, -3 in ascending order.\nAnswer: -3, 14, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**4*u**2 - 25*m**2 + 4*m*r*u**2 + 3*r*u**2 + 3*r - 4*u wrt m?\nAnswer: -8*m**3*u**2 - 50*m + 4*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o + 8 = 55*o. Let z be (o - 0)*65\/10. Is -15 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/13 - 172*j**3\/13 + 3866*j**2\/13 - 7224*j\/13 + 3528\/13 = 0.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, l: 2, t: 3}. Give prob of sequence lt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/70 + 2)*(-2 + 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - a - 26 = -8*g, 21*a = 5*g - 398 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 0.5, 1, 62, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234212 rounded to 3 dps?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.1383 nanograms to tonnes.\nAnswer: 0.0000000000001291383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k**(5\/4))**49*((k**2*k)\/k**(-6))\/(k**(-2\/7))**9 assuming k is positive.\nAnswer: k**(7527\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - 6 - (1 - 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23250 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116*12.18\nAnswer: 1412.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 28 + -18 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-7)\/3. Let h be (-2 - s)\/(-1) + 5. Let z = -43 + 72. Solve 3*q + 0*n + 18 = 3*n, z = -h*q + 4*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/37, 3 in increasing order.\nAnswer: -0.3, 2\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45550, 91680, 137810, 183940, 230070?\n\"Answer: 46130*h - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(-1)\/2*4\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g. Let r(z) = z**2 + 3*z. Let f(s) = 3*k(s) + r(s). Let c(v) = -4*v**2 + 2. Calculate f(c(h)).\nAnswer: 64*h**4 - 64*h**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l**3 + 12*l**2 - 12*l. Let m(r) = -9*r**3 - 2*r**2 + 5*r + 3. Let b(x) = -x**3 + x**2 + 1. Let y(k) = -3*b(k) + m(k). Calculate 5*g(d) + 12*y(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = -2. Let m(j) = -11 - l*j - j - 9*j**2 - j**3 - 10*j. What is the tens digit of m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 3. Let i = s - 11. Let l(p) = -5*p - 7. Let j(z) = -11*z - 15. Let o(d) = -4*j(d) + 9*l(d). What is o(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wykoiywi. Give prob of sequence ioyw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - -42. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/28*-6*(-4)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 31*k = -29*k + 2, 5*l = -4*k - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101111010110100010 (base 2) to base 6.\nAnswer: 42344242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1223, -1203, -1185, -1169, -1155?\n\"Answer: -y**2 + 23*y - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1818119927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -2.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -544338.4 rounded to the nearest 100?\nAnswer: -544300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 329, 1130, 1933, 2738, 3545?\n\"Answer: m**2 + 798*m - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 20. Let b = k - 25. Let u = 43.916 + b. Round u to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514 + m**2 - 3*m**3 + 8990*m - 8990*m - 514.\nAnswer: -3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 3. Let a be (-1 - 2) + 5 + -5 + -2. Let c be y(a). Solve c*i - 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (2 + -1 + -10 - -12) - -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161304 (base 9) to base 4.\nAnswer: -120100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 52) + (1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1702210 by -190.\nAnswer: 8959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-35)*-48)\/((-794)\/1985).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9368, -9306, -9224, -9122?\n\"Answer: 10*t**2 + 32*t - 9410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6626529 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13200 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o**2 + 4*o + 2. Let i be y(2). Let k = i + 1100\/9. Let b = 348.4 - 348. What is the nearest to -5 in k, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-0.03\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/34139069 - 804418882627\/7510595180. Let n = b + 542\/5. What is the common denominator of -81\/4 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 93 - ((-8 - 1) + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 + y**3)*((-2*y + y + 3*y)*(-1 - 3 + 7) + y - y - 3*y + 0*y - 2*y + 3*y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2948*v**4 - 902.\nAnswer: 11792*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 6*y**2 + 6*y - 3. Suppose -4*o - 8 = -4*j, o + 3*o = 5*j - 13. Let g be l(j). Solve 0*n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185 and -0.2384?\nAnswer: 184.7616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17*n**2 - 7*n + 92. What is the thousands digit of g(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27d40 (base 16) in base 12?\nAnswer: -7a4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*f - 2706*f - 2027*f - 3924*f + 845*f - 1221*f.\nAnswer: -10286*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431734070.\nAnswer: 2, 3, 5, 13, 31, 118423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1450\/120)\/(((-6)\/(696\/145))\/((-4)\/2)).\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 63 = 4*a, 8 + 28 = -610*b + 614*b - 4*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*a = -44, -4*p - a = -77 - 47. Solve 32 - p = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117567 = -2*b + 4*j - 117647, -2125 = 71*b + j for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.68 - -3000842.8845.\nAnswer: 3000844.5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -0.2 (b) -13 (c) -2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1179, 1188, 1197, 1206, 1215?\n\"Answer: 9*m + 1170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116172 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 34397244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3915\/(-36) - (-1)\/(-4). List the prime factors of 2\/(-4) - s\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-125) - 132\/77*1435\/(-50).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 + 199. Let k = c - 41. Let z be -1 - 15\/(-21) - k\/(-84). What is the biggest value in 5, z, 0.2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.95 + 28. Let y = q + -6. Let l = -1.05 + y. What is the third biggest value in l, 1, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*i = 0, 0 - 10 = -5*i. Let n be -4 + -3 + 5 - (-24)\/x. Let t = n + -8. Solve 5*b = -3*j - 1, -2*b - 23 = t*b - 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + ((-8)\/(-96)*3)\/((-30)\/(-840)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*h - 25. Let n = h + 92. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/5 or 190?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.02933 millennia to months.\nAnswer: 312351.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 3*r + 3*r)*(-3*r + 6*r - 2*r) + (-4 + 4 - r)*(6*r - 13*r - 8*r))*(-4 + 4 - r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -0.6 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4822 (b) -0.3 (c) 4 (d) -57 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 + 5*m - 4. Let n be x(4). Calculate the common denominator of -1 + 2 + n\/22 and 1208\/(-110) - 4\/(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 151 - 142 = 0. Suppose 22 = r*m - h - 35, 5*h - 115 = -5*m. Solve 6*z + m = 11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -27. Let p = -17 + 19. What is the remainder when y is divided by -1 - 1 - (p - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*2 + 4 + sqrt(76) + 5 - -3*(sqrt(76)*3 + 3))**2 + -1.\nAnswer: 936*sqrt(19) + 13167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 3*t**2 + t. Let q(x) = -21*x**3 + 19*x**2 + x - 2. Let p(z) = 4*b(z) - q(z). What is p(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let p be ((-30)\/20)\/(-3*(-3)\/(-24)). Let z(i) = -646*i. Let y(u) = -15*u. Let r(x) = p*z(x) - 171*y(x). Determine m(r(g)).\nAnswer: -722*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f - 14. Let m be q(6). Suppose 259 + 179 = 2*d - 4*t, 1107 = 5*d - m*t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313761281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10994, 20992, 30990, 40988?\n\"Answer: 9998*p + 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 8*i - 84. What is the units digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2. Let d = -4 - -6. Let u(j) = -2*j**2 - j**d + j**2 + j**2. Give r(u(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5*p - 31 + p - 7*p - 2*p.\nAnswer: -3*p - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**3 - 31*k**3 + 4*k + k**3 - 2*k.\nAnswer: -66*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 164076861187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g - 61*g + 1940 = 4*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, f + 2*f - 4*m = 15. Solve -4*h = -1 + f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83842 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8910 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 - 3956216*x**2 + 3956216*x**2.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/3 - 2 - -8. Solve -s*v - v - 3 = 5*k, 3*k + 5 = -5*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1052890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5326, -12029, -20114, -29581?\n\"Answer: -691*r**2 - 4630*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h + 41*h**2 - 40*h**2 + 10*h + 21. Let r be v(-7). Let j = 16.2 + -16.1. Put -1, r, j, 2\/11 in descending order.\nAnswer: 2\/11, j, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 * -1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 24*m - 3*m**2 - 24*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**4 + 3*r**3 + r**2 - 3*r + 2. Let t(v) = 13*v**4 - 13*v**3 - 3*v**2 + 11*v - 8. Let n(p) = 2*t(p) + 9*z(p). Find q such that n(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = x, 0 = -t - 0*t. Suppose -4*n - 2*j = -23 - 41, n = -x*j + 10. List the prime factors of ((-196)\/(-6))\/(6\/n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1836 = 16*p - 884. What is the remainder when p is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176919608017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 184 = -152. Calculate the remainder when 1553 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8887974 divided by 158\nAnswer: 56253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 20281802 and 20281803 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/5 + (10450\/95 - 94)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**2 + 141*v**2 - 215*v**3 - 69*v**2 - 1.\nAnswer: -215*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 9*k - 2. Let h be a(-7). Let n = -592 + 591. What is the second smallest value in h, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 49 - 69*w - 98*w - 39*w.\nAnswer: -206*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 40 = -4*h + 617, 3*h - 426 = 3*q. Calculate the highest common divisor of 77 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11386)\/(45\/(-18) + (-7)\/(-14)) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-64))\/(1\/(-4))*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g + 649. What is w(71)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*f + 158, -x - 27 = 5*f + 45. Which is smaller: x or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*i - 12*i - 8*i)*(2 - 2 + i) - 5*i**2 - 2*i**2 + 3*i**2 + (3 - 5 + 0)*(-23 - 8*i**2 + 23) in the form n*i**2 + a + b*i and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 9002821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*c - 41, 0 = -s + 2. Let i(y) = -6*y**3 - 16*y**2 + 7*y - 12. Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54.04 - 10.34. Let v = 52 - d. What is v rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 114.6.\nAnswer: 114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -819, -5, -4 in decreasing order.\nAnswer: -4, -5, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + n - 7 - 10 + 6*n**2.\nAnswer: -6*n**2 + n - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 - 94150*d**4 - 443022685*d**3 + 1775104180*d**2 + 7088364240*d - 28377564480 = 0. What is d?\nAnswer: -9417, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15560201 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/16 - 295\/20. Let w be (-3)\/2*(r + 1). Solve w = -5*d - l, l = d - l + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 11477396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110051 (base 6) to base 16.\nAnswer: 238f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361*o**3*s**2 + 342*o**2*s + 9*s**2 wrt o?\nAnswer: 2166*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9206434.459 - 9171303. Let g = -35149 + a. Let q = g + 17.7. Round q to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*w**2 + 31 - 14 - 5.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1041869*z - 6251200. Give d(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-168)\/20 - -7) + (-24)\/40)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248018 is divided by 311995?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -232*q + 321. Is t(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 + 575 = 34*u - 2 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/65160 and -61\/374670.\nAnswer: 1498680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23713734, -23713728, -23713718, -23713704, -23713686, -23713664, -23713638?\nAnswer: -23713608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24307985 rounded to 4 dps?\nAnswer: 0.2431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/8)*n)\/n)\/n**(-4\/3)*(n\/n**0)\/(n*n**(7\/3)))**12 assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -18, -10, -2?\n\"Answer: 8*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15622 - 31245\/2. Which is the third smallest value? (a) 2\/7 (b) 3 (c) -19 (d) n (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6\/8 + (-6 - -6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + v = 4*v + 6, 6 = -4*b - 3*v. Suppose -14*u + 10*u + 74764 = b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/45)\/((-14)\/140). Suppose p = -4*f + 10, -4*p = -3*f - 2*p + 2. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64133 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 154377762*o - 3286. Let u be g(3). Round u to the nearest 1000000.\nAnswer: 463000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12875*q**2 - 1122449 - 12984*q**2 + 1122449.\nAnswer: -25859*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4 + 1) + -10. Let l = 1 - x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 7*j**2 - 7*j - 4. Let p be f(-6). Suppose p*d = d + 33. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 - 4*q**4\/3 + 7*q**3\/3 + 13*q**2\/2 + 68*q. Let c be s(15). Let h(u) = -3*u**2 - u + 1. What is h(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 195*f**3 + 100477*f**2 + 1 - 100476*f**2.\nAnswer: 195*f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d - 1. Let n(r) = 7*r**3 - 18*r**2 - 5*r + 6. Calculate -n(k) - 6*y(k).\nAnswer: -k**3 + 12*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -1 + sqrt(2) + (sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(12).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a09 - 9a?\nAnswer: -aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7984 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 < 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 - 123*r**4 + 1824*r**3 + 4644*r**2 - 49248*r + 67392 = 0?\nAnswer: -52, -6, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-320)\/(-60) + 1\/(-3). What is the third derivative of 57*x**2 + 18*x**5 + 3*x**3 + 14*x**r - 19*x**5 - 5*x**3 wrt x?\nAnswer: 780*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*r - 20021 - 169*r - 20038 + 40059.\nAnswer: -210*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d. Let u(l) = 8*l. Calculate w(u(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776 - -793. Suppose -2614 = -4*q + 3*n, -p*n + 22*n = -3*q + 1975. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Is 1 less than or equal to 4405\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -44, -100, -190, -320, -496?\n\"Answer: -a**3 - 8*a**2 + 3*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605 is divided by 1443.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 - 2*v + 0*v - 3. Let k be h(-2). What is the first derivative of 4 - k + 2*r**3 + 4 - 5 wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -n. Let d = n + 6. Let j = 6 - 4. Which is the nearest to -2\/3? (a) d (b) j (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 127?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 n when four letters picked without replacement from wrrnrnwnnnnnnnnnwnrn?\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 23*s**2 + 22*s - 28. Determine j(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/907 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95697569.\nAnswer: 11, 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 2. Calculate the remainder when d(9) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 19866 = 25*o. Suppose -46*h - o = -23324. List the prime factors of h.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 76*p = -1936. What is the smallest common multiple of 198 and p?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410170116?\nAnswer: 2, 103, 307, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1661\/2204 - 2\/551. Suppose 3*x - 4*i - 25 = 0, 0*i = -3*i - 12. Suppose -x = h - 5. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 35 = -4*f + 155, -5*f + 150 = 2*h. Let i be (6\/35)\/((-1)\/f). Let u = i + 34\/7. Which is the closest to 2\/5? (a) -2 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211512716?\nAnswer: 2, 52878179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 8*z - 11. Let v be l(-9). Let i be ((-1)\/21)\/((-1)\/v). Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 4. Let h = -11 - 6. Let u = -11 - h. Let v be a(u). What is the highest common factor of v and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/159 and 91\/3975?\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.09 (b) -1 (c) 8 (d) -4 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from ncyyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 129 = 144. Which is the nearest to 0.2? (a) n (b) -0.2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 70*a - 1. Let p be t(1). Let m = -92 + 54. Let l = m + p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -4. Let i be (k\/(-4))\/((-1)\/(-4)). Suppose -2*c = -y - 1, 0 = 3*c - i*y + 10 - 1. Solve -2*m + 8 = 5*q, -2*m - 16 = -6*m - c*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = o - 2*x - 3*x, 5*o + 5*x = 320. Suppose 57*q = o*q - 10. Is 10\/7 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68783 + -8?\nAnswer: -68802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*v - 3*z - 39 = 0, 5*v - 3 = -2475*z + 2477*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.43 - 4.14. Let m = j + 1.63. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 17. Suppose -r - 4 = -3*r. Suppose -70 = -c + 2*p - 0*p, 4*c = -r*p + 270. Calculate the greatest common factor of c and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 5.\nAnswer: 188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*i + a + 80, 2*i - 40 = -4*a. Suppose 0 = -3*u + 4*u. Suppose u = 2*h - 3*h + 12. Calculate the lowest common multiple of i and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 5, v: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, -0.2, 0.5, 2 in decreasing order.\nAnswer: 24, 2, 0.5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a milligram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -28*v - 4. Let l be y(-3). Suppose 34 + l = 6*b. Suppose g + 3*k - 55 = 10, 5*k = 15. What is the remainder when g is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.03 + -7. Let m = z + 0.17. Let n = -0.2 + m. Put n, -0.3, -1 in descending order.\nAnswer: n, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 + 9 = 0. Let u(o) = o**3 - o**2 - o + 1. Let l(i) = 6*i**3 + 3*i**2 - 6*i - 3. Let p(a) = b*u(a) + l(a). Factor p(c).\nAnswer: 3*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*(-60)\/(59280\/(-5356))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssussss. Give prob of picking 2 s.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 3 + (-11 + 30 + 19)*(2 + 2 - 7))*(-o + o - 2*o)*(1 - 1 - 3) to the form p + b*o and give b.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 30 - -13) + 1 + 1 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*g = 11, -61*f + 57*f = g + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/701 in 3\/2, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 less than or equal to 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -1.12. What is n rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115, -231, -347, -463, -579, -695?\n\"Answer: -116*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65169 is divided by 582?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**2 + 1\/5*o**5 + 0*o + 1\/6*o**6 - 3\/4*o**4 + 11 - 1\/3*o**3. Factor x(k).\nAnswer: k*(k - 1)**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-944)\/31624 + 41676\/67 is divided by 162?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49358311, 49358310, 49358309, 49358308?\nAnswer: 49358307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 14) to base 3\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 46*r + 558 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3007 + -0.7007. Which is the fifth biggest value? (a) 48 (b) 2\/15 (c) j (d) -1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 3, g: 1, c: 2, a: 5, t: 1}. Give prob of sequence tac.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - f + 18 = -2*z, 0 = 2*z + 4*f - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276146 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*v - 1733*j - 10969*v + 175 wrt v.\nAnswer: -2*j - 10969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 + 48*t**2. Let d(w) = 477*w + 413*w - 816*w. Calculate d(p(q)).\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - l + 2173 - 2147 = 0, 58 = -3*u - 8*l for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = i + 20, -7 = 4*y - 4*i - 23. Let c be 8\/y - 2*-3. Let p(k) = 2*k - k**3 + c - k + k**2 + 0*k**2. What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16874\/3835)\/(2\/10). Is p less than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.7. Which is the smallest value? (a) -1\/10 (b) 0.05 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 4*b + 24 = -5*c - 0*b - 64, 0 = c - 58*b - 154 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 120 = -5*i. Suppose 0 = -4*g + i, 2*k + g = 2591 - 876. Let n = k + -458. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333 - -327. Let w(u) = -3 - 6*u + 0 - 7. What are the prime factors of w(b)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -208, -306, -444, -622?\n\"Answer: -20*t**2 - 38*t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -5*t - 61. Let j = -258 + 144. Let m = t - j. What is m rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 590 - 562 = 0. Let b(c) = 11*c - 4. Determine b(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13239 - 7162. What is the greatest common divisor of y and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80956135453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775890816942 less than 0?\nAnswer: 1775890816942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177215*u**2 - 2*u + 87935 wrt u?\nAnswer: -354430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - (22 - 20)) + 124 + 1. Solve p*d = 116*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 8*o**2 - 5*o + 1. What is z(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285368*l**4 + 16*l**3 + l - 218218 wrt l?\nAnswer: 3424416*l**2 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 31*c - 77. Let k be a(-34). Let n = k + -23. Factor 6*b + 4\/3 + 8\/3*b**n.\nAnswer: 2*(b + 2)*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 15 + 2*y**2 + 7 in the form s + x*y + q*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36713*t**6 - 8 + 252*t**2 - 5*t**5 - 24*t**5 - t**3 - 36710*t**6 - 10 + 7*t**3 wrt t?\nAnswer: 360*t**3 - 1740*t**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-1\/24)\/z)))**(29\/3)*z**(-44)*z\/z**18 assuming z is positive.\nAnswer: z**(-5117\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(108)\/sqrt(4) + sqrt(27))*2)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-972))\/(5\/(-120)*3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32463 divided by -5.\nAnswer: -32463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - n**2 + 2*n - 1. Let i be (-147)\/(-105) + (3\/5 - 1). Let b be z(i). Let f(d) = 45*d**3 - 3*d**2 - 3*d - 2. Is f(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187814358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -670 - -670.01. Which is the nearest to 0.2? (a) v (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188503*c**2 + 26*c - 583 wrt c.\nAnswer: 377006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70397830?\nAnswer: 2, 5, 7039783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -1275, -1520, -1767, -2016, -2267?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28486\/15 + -1902. Calculate the common denominator of p and 65\/(-6)*(57\/(-45) - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*u - 6642 = 20766 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 0.5 (c) -6 (d) -413 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/50520 and 93\/1675580?\nAnswer: 10053480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 9*z + 0 + z**2 - 11. Let u be s(7). Are u and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -1 (c) -4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -441 divided by -147\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11 + 2*r - 3 - 6 - 4 + r**2. Is s(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 609*u - 35. Suppose 0 = 138*q - 152*q - 490. Let n(c) = -51*c + 3. Let s(r) = q*n(r) - 3*w(r). Let z(v) = -6*v**2. What is z(s(o))?\nAnswer: -10584*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 - 344981*m**3 - 2061919*m**2?\nAnswer: 120*m - 2069886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, x: 4}. What is prob of picking 3 x and 1 m?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 168\/(-15))\/((-7)\/35). Suppose 16*q = t + 104. Calculate the greatest common factor of q and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000222 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + q + q**4 - 2*q**2 - 933*q**3 + 9 + 931*q**3 to the form o*q**2 + a + t*q**3 + k*q + p*q**4 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Let q(d) = -d**2 - d - 1. Let k be q(0). Let a = k + t. Which is smaller: -1\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 72 = n + 8*n. Calculate the least common multiple of 1464 and n.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + 2.79. What is the nearest to -0.1 in -1\/4, -1, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1133012 (base 4) to base 8\nAnswer: 13706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*w + 639 = 4*g, -2*g + 261 = -w. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50976)\/19824)\/(6\/112).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0 + 1\/20*c**6 - 3*c + 0*c**4 - 3\/4*c**2 - 1\/2*c**3 + 3\/20*c**5. Solve d(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7723.\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqg when four letters picked without replacement from {g: 10, q: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yksj when four letters picked without replacement from sjyky?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -73, -195, -377, -625?\n\"Answer: -t**3 - 21*t**2 + 2*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozwoczwcooowk. Give prob of sequence www.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 3*k**2 - 6 + 10*k - 7*k**2 + 10*k**2. Let x(d) = 15*d**2 + 20*d - 12. Let n(u) = 7*c(u) - 4*x(u). Find w, given that n(w) = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 11\/17969008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 + 4 - (1 + -3). List the prime factors of 2854\/d + 16\/(-20).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 256.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - -4) + -4 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvv when three letters picked without replacement from {d: 3, h: 4, v: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 196*d**2 - 250*d + 10443. Give o(197).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**3\/5 + 282*h**2\/5 + 80*h + 136\/5.\nAnswer: -2*(h - 17)*(3*h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-3))\/(1\/(-6)). Suppose -2*m = 2*j + 20, -3*j = -20*m + 16*m - 61. Let p = m + c. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61697827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -92*d + 3. Is x(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/2 + -4 - 0 - -180. What is the greatest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*y**4 - 2*y**3 - 2764 + 203*y**4 - 128*y**4 to b + a*y**2 + z*y**4 + n*y**3 + h*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (75\/(-5))\/3 - -1513. Let y(g) = g**2 + 3*g + 3. Let i be y(-3). Suppose i*x = o - 521. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 12*j = -24*t + 49, -t - 11 = 3*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 164 = 3*r + 2*r, -5*y = 4*r - 118. Suppose 0 = 4*c + 2*n - r, 2*c - 8 = -0*c - 5*n. Calculate the greatest common divisor of c and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12 - 8 + 18*i - i**2 - 6*i. What is the units digit of v(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(11\/((-110)\/140)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 520563*j**2*v**3 + 94*j**2*v - 518*j**2 - 2*j*v**4 - 20*v**4 + v**2 - 2 wrt v?\nAnswer: 3123378*j**2 - 48*j*v - 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1274*h**2 - 4*h - 18. Let g(s) = 6*s**2 + s + 3. Give a(x) + 6*g(x).\nAnswer: -1238*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - (-1*sqrt(54))\/sqrt(6)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 25*w**2 + 2*w - 55. Let p be g(25). Put 0.22, p, 0.4 in ascending order.\nAnswer: p, 0.22, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 64, 100, 134, 166, 196?\n\"Answer: -s**2 + 41*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -108, -0.03, -0.19, 3\/19?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179\/1453 - 4747888\/15983. Let z be 298 - (-7)\/(-2 + -5). Let n = z + v. Which is the closest to -1? (a) n (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -850*y**2 - 532758*y + 532758*y to the form w + c*y**2 + u*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*m - 21, 33 = 12*n - 7*n - 4*m for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 + 15987*o**4 + 21968013*o**3 + 1744534413*o**2 - 66968227440*o - 6089689439424 = 0. Calculate o.\nAnswer: -2621, -72, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {z: 3, d: 1, v: 5, q: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -135.4529219608 + -373\nAnswer: -508.4529219608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1054.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 37?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3535*d**4 - 12297*d**3 + 77802935*d**2.\nAnswer: -84840*d - 73782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(3 - -1) - -2. Suppose -47 = -n*y + 19. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 + a**3 + 46*a**2 - 48*a**2 - 4*a**2. Give j(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2694, 4273, 6904, 10587, 15322, 21109?\n\"Answer: 526*q**2 + q + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 112808 divided by -4939\nAnswer: -112808\/4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -1421946?\nAnswer: -1421946.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 183*w**4 - 2893*w - 1377570?\nAnswer: 732*w**3 - 2893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + (-75)\/(-9) + -14 + 5. Suppose 0 = -3*p - p - 16. Put -2, p, h, 5 in decreasing order.\nAnswer: 5, h, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/sqrt(6)*5.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -17903.5.\nAnswer: -17903.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t - 2. Let y be j(5). Solve -y*u + 7*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k*r - 3*k*x - 2647*r*x - x + 2470 wrt r.\nAnswer: -8*k - 2647*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l - 225 = 129*l. Let u be ((0 + -1)*9\/l)\/1. Sort -2\/3, u, -7\/4 in descending order.\nAnswer: u, -2\/3, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 8977 + 8663. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76) + sqrt(76)*2*4)\/sqrt(4).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -75. Suppose -3565 - 17355 = -v*g. List the prime factors of g.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*r**2\/9 + 2*r\/3 - 2\/9 = 0. Calculate r.\nAnswer: -1\/2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3600375*i**3 + 1800181*i**3 + 1800193*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.034 - -0.134. Let y = -0.5 + 0.4. Let p = -0.1 + y. Which is the closest to 1? (a) m (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 44*j**2 - 269*j + 1550. Calculate s(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.210778 minus -19915325?\nAnswer: 19915326.210778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 680\/60*(-17)\/((-1462)\/645).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8663838.1 rounded to the nearest one thousand?\nAnswer: -8664000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -96\/23, -0.1, 15\/2 in descending order.\nAnswer: 15\/2, -0.1, -0.7, -96\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 415248?\nAnswer: -415250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-1 - 1) + (-4)\/(-4). Let f be k + 0 - ((-40)\/5 + 10). What is the third derivative of 214*y**f - 214*y**3 + 15*y**4 - 39*y**2 wrt y?\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -575?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-123)\/(-4) - (12\/(-16))\/3. Suppose w*b = 4*b + 5*b. Which is greater: 2\/563 or b?\nAnswer: 2\/563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 623889356 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = -0*h. Suppose 0 = -2*q - h - 1. Suppose c - 1 = -i, -3 - 2 = -5*i + 5*c. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -462362039 or -924724079\/2?\nAnswer: -462362039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12339 is divided by 12323.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-6)\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 9 + (-3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = r, 4*r - 2*l + 15 = -5*l. What is the closest to r in 3, -19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 4*i**2 + 4*i**2 + (-i + 0*i + 4*i)*(0*i**2 + 2*i**2 - i**2).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 17. Let g be l(-17). Suppose -7*v + 2*v + g = 3*x, -x = 2*v - 6. Solve -4*k = x*a - 6*a + 20, -4*k - 20 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.07 - -15. Let r = s + 0.07. Which is the biggest value? (a) r (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 98349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1569, 1562, 1557, 1554?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 42, 0.5 in increasing order.\nAnswer: -5, 0.5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 244 - 794. Let c be (l\/12)\/(3\/12). Suppose -3*a + 3*y = -171, 0*a - 2*y - c = -3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.92 + 0.12. Let u = g - -3. What is the third biggest value in 0.3, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75423 (base 8) in base 13?\nAnswer: -11458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 25 = 2*m, -2 = 2*v + 4*m. Does 4 divide 16\/(-6)*v\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -29. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didzzzz. Give prob of sequence did.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11112210100220011?\nAnswer: -11112210100220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -408218.5 - -2\nAnswer: -408216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70975.9752 + 60.\nAnswer: 71035.9752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.83, -2?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let t = 1 + -2. Let l = -4 + 5. What is the nearest to l in t, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 172*b + 50*b + 1299 = 0, 75 = 3*o - 2*b. Let q = 191 - 103. Calculate the highest common divisor of q and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 341 - 334 + 675.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*j**2 + 1)*(1 + 0 - 2).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 2*x**2 + 2*x**2 + (3*x**2 - 3*x**2 + x**2)*(60*x + 55 - 55) + 0*x**3 + 0*x**3 + 4*x**3 to a + s*x**3 + n*x + t*x**2 and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 20 = 34. Let t(k) = -k**3 + 0*k**2 + 3*k + 4*k**2 - 3*k**2 - 6*k**r. Calculate t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6403 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 6527\/16, -1\/7 in ascending order.\nAnswer: -9, -2, -1\/7, 6527\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/459828 and -107\/17808.\nAnswer: 12875184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*v**2 - 1376064*o*v - 2*o + 484*v**2 + 3035 wrt o?\nAnswer: 2*v**2 - 1376064*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109 + 286 + 4764*u**2 + 1115 + 772 wrt u.\nAnswer: 9528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7553 - 37767\/5. Let u = 2 - 3. Let k = u + 0. What is the second smallest value in 0.1, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*o + 23, 0*o - 5*o = 5*l + 35. Let a(j) = j + 8. Suppose -h - 7 = -0*h. Let z be a(h). Put -4, z, l in ascending order.\nAnswer: l, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**4 - 224*y**3 + 68*y - 4 wrt y?\nAnswer: -48*y**2 - 1344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 5) to base 10.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.273998218 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 171526026 + 3?\nAnswer: 171526030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 19695 - 16350 = 0. Is j bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 4*w**3 + 2*w + 1 + 4 - 4. Let g be 2\/(-3) - 2\/6. Determine b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/5)\/w*w\/w**8)\/(w**(3\/7)\/((((w\/w**8)\/w)\/w)\/w)))\/(w**5\/(w*w**5*w*w*w)*(w\/(w**(-5)\/w))\/(w*w*w**(-8)*w*w)) assuming w is positive.\nAnswer: w**(-834\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let u be (4 - 3)*-325*-1. Suppose -169 = -2*i - 5*g, 0*i + 4*i - 3*g = u. Let k(t) = 19*t**2 - i + 82. Determine k(n(s)).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/90 and -29\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 5, w: 1, v: 3, c: 3, x: 1}. What is prob of sequence pcv?\nAnswer: 15\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:42 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 10*t + 29652. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25\/4, -6.7, 0.23 in ascending order.\nAnswer: -6.7, -3, 0.23, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 39, 51, 57, 57, 51, 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -133*r + 1. Let k be l(1). Let q be (-288)\/k - (-4)\/(-22). Solve -2*x**3 - 21*x**2 + 2*x**4 - x**4 + 0*x**4 + 20*x**2 + q*x = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*z + 11 = 0, -2*l + 0*z = -z + 2. Let u = l + -8. Let j = u + 9. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -683341*p**4 - 24*p**2 + 288*p + 55 wrt p?\nAnswer: -16400184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 + 8*d*v**2 + 2*d*v + 2*v**2 + 12*v with respect to d.\nAnswer: 4*d + 8*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 + 844 + -815.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3 + -2 + 1. Suppose 0 = 5*r, -4*o - o = -u*r. Suppose 3*a - 3*w = 105, o = 7*a - 4*a - 4*w - 108. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 + -395. Calculate the common denominator of (-568)\/12*(-1)\/p and -10\/27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/3 (b) -1.4 (c) 4 (d) -10\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (-3*sqrt(99) - sqrt(99)) + sqrt(99))*5 - sqrt(99))\/(sqrt(576) + (sqrt(576) - 4*sqrt(576))).\nAnswer: 11*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845 = 94*r - 42*r + 13*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1101534?\nAnswer: -1101540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4148 + 5868. Is 83 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - 3) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 4, z: 1}. Give prob of sequence sdd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 14805322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(-5 - (22 + (-3645)\/165)).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 11*r**2 + 896*r + 4450. Calculate v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.209, -18, 810 in increasing order.\nAnswer: -18, -0.209, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47009 - -11483. Round o to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111021001 (base 3) to base 2.\nAnswer: -11000010100100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41607 (base 10) in base 15?\nAnswer: -c4dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - z**2 - 2*z - 2. Let q be n(-1). What is the second derivative of -10*t - 4*t + 6*t - q*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129512 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 plus 3617555850?\nAnswer: 3617555398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 825\/2 (c) 1\/3 (d) -2\/7 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Let z(v) = -v**2 + 3*v + 4. Let q be z(j). Suppose 2*l - q = 2*w - 0*w, -2*l + 6 = -w. Solve b - w*d + 3 = 15, 4 = 2*b + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 12*n**2 + 40*n + 194. What is y(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -34436676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1017129\/(-145981))\/(90\/4). Let y = 1\/1731 + k. What is the common denominator of y and -28\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 - x - 22. Determine c(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 253670 = -21*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 78 = 3*p + 27, -4*p = -5*f + 70 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103838 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/63))*g*g\/(g\/((g**(5\/3)\/g)\/g)))\/((g\/(g\/((g\/g**(-5))\/g)*g))\/g**(6\/13)) assuming g is positive.\nAnswer: g**(-2378\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -10.2. Let c = 0.288987 - 0.246987. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d - 0*d. Let a be 90\/35 + 9\/((-63)\/4). Put 1, d, -1, a in increasing order.\nAnswer: d, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307 by 1.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and 1 - (-6)\/204*-19*1.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/19, 7\/2 in descending order.\nAnswer: 7\/2, 2\/19, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 297*h**2. Let i(j) = j. Determine i(s(a)).\nAnswer: 297*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 31*d - 84*d + 50*d. Let m(u) = -2*u + 2. Let c(q) = 7*q - 9. Let p(r) = 2*c(r) + 9*m(r). What is j(p(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 15. Let j(m) = -13*m + 60. Let l(c) = -2*j(c) + 9*w(c). Let t = -311 + 318. What is l(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 - -341. List the prime factors of i.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-2.39\nAnswer: -0.0956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 489. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107315716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 19*i**2 - 18*i - 6. Let h(m) = 2*m - 18. Let o be h(0). Give b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, r: 5, u: 1, g: 3, w: 4}. What is prob of picking 3 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834.79 days to microseconds.\nAnswer: 72125856000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 12. Suppose -187 = -s*a + 6*y - y, 2*a + 3*y - 93 = 0. Calculate the remainder when a is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*d + 530*d - 120 + 37 + 40 + 42.\nAnswer: 774*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689774 is divided by 184?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -q + 80. Calculate the remainder when q is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-7 + -4) - -14) + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -12\/13, -0.06 in ascending order.\nAnswer: -12\/13, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/5, 3, -175, -33.45 in increasing order.\nAnswer: -175, -33.45, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2624 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15066 (b) 1\/25 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133\/3 + 44. Let k = 0.2 + 1.8. Let s = 2 + k. Sort p, s, -0.2.\nAnswer: p, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 8684.\nAnswer: 5\/4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.12. Let t = 0.05 - m. What is the smallest value in t, 1\/6, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9950 is divided by 263.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1994 and 16?\nAnswer: 15952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 278, 282, 288, 296, 306?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (648\/(-32))\/27*(23 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 5*c**4\/24 - c**3\/6 + 13*c**2. Give q(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -4, -1 in increasing order.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83278418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {o: 4, f: 4, j: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2578 from -2.5860239425.\nAnswer: 2575.4139760575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a century?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19384777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.901032 to 1 decimal place.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1611, 4, -3.\nAnswer: -3, -2, 4, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 17*w**2 - 14*w + 36. Let u be g(-16). What is the derivative of -9*t + 17*t**u - 4*t + 13*t + 24 wrt t?\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 786 = 943. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -9, 3.\nAnswer: -96, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316 + -2531\/8. Let t = -405\/133 + 66\/19. What is the smallest value in -4, p, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -76*u**3 - 9*u**2 - 25*u + 9. Let t(s) = 19*s**3 + 2*s**2 + 6*s - 2. Let d(m) = -9*t(m) - 2*z(m). What is the second derivative of d(i) wrt i?\nAnswer: -114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k - 3. Let z(u) = -u**3 + 12*u**2 - 11*u - 3. Let c be z(11). List the prime factors of d(c).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:00 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 2\/19 (d) 654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*4*sqrt(32) + sqrt(1152)*-6 + 3)*1)**2.\nAnswer: -960*sqrt(2) + 51209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83825862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333393433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -149048.5 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572 divided by 6.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*o = -17, 5*o = -4*x + 23 + 41. Let v(b) = b**3 - 4*b**2 + 3*b - 87. Let l be v(6). Solve l*t = 23 - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(500)*-1.\nAnswer: 1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1403 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + m - 1 = -11, 5*m = -2*t + 16. Suppose t*i + 4 = 1. Let h be (-5 + 7)*(-3 - -2) - i. Put h, 2, -1\/2 in ascending order.\nAnswer: h, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/5 + 14*k**2\/5 - 8*k\/5 - 24\/5 = 0. Calculate k.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 2169*i**2 + i**3 - 2169*i**2.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53006300 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -35795733068202\nAnswer: 35795733068202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + n)*(-11*n**2 + 38*n**2 + 5*n**2).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70032, -69982, -69932, -69882, -69832, -69782?\nAnswer: -69732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23312283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.3 - -4.51. Let f = h + 0.39. Let q = f - 1.9. Are -2\/3 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {m: 4, t: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 595.2969 meters?\nAnswer: 59529.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = 4*d + 3*w, -3*w + 2 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/200 + 7\/((-350)\/(-755)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1608 + 1712. Calculate the remainder when 1660 is divided by w.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0515289 to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssscsccssccscsss?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - -103. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -1\/3 (c) 32 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 627 = -3*c, -c - f = 4*c - 1073. Suppose -217*b = -c*b + 42. Which is smaller: b or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -157. Suppose h*t = 17541 + 15884. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9390257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402567 is divided by 171.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:32 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -348*b**3 - 246 wrt b.\nAnswer: -1044*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-16)\/(-2) + -3. Let n be 41\/(-13) + 5 + m*-1. What is the smallest value in -0.7, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.13 - -1.73. Let y = -1419 - -1422. Which is the biggest value? (a) 0.78 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -f + 23, -f - 114 = -4*m. Suppose 2*h + y = 5*y + m, 4*y = -3*h + 12. Let p = -97 - -161. Calculate the greatest common divisor of p and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*z**2 - 252*f**3 - 93*f**2*z**2 + 2*f**2*z + 3*f**2 + 30*f*z**2 + 12*f - z**2 + 3 wrt z.\nAnswer: -8*f**3 - 186*f**2 + 60*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5583*i**5 - 7*i**2 + 29 wrt i.\nAnswer: -334980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:58 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*o = -3*o - 230, 4*o = 8. Suppose -4*l - v - p = 0, -48 = 3*l + v - 5. What is the smallest common multiple of 2 and l*(-2 + -1 + 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11252?\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*((-15)\/9 - -2). Suppose 143 = -m*k - 16. Let b = k + 75. Calculate the smallest common multiple of 2 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3732?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*i - 2 - 6, 3*w - 14 = 4*i. Find the third derivative of -3*s**2 - 2*s**4 + 8*s**w - 4*s**4 wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1248 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, l: 3}. Give prob of picking 1 g, 1 l, and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.63 - -0.34. Let h = -0.14 - b. What is the second smallest value in -4\/3, h, -5, 2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73)\/(-21))\/((-2910)\/10185) - (1 + -13)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1052 and 679066?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76717 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12714?\nAnswer: 2, 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 261*h + 11763. Give b(-45).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.245 and 50.947.\nAnswer: 50.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 44*s**5 + 7*s**4 - 42*s - 7. Let g(k) = -22*k**5 - 3*k**4 + 21*k + 3. Let f(a) = -7*g(a) - 3*u(a). What is the second derivative of f(t) wrt t?\nAnswer: 440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 259*b**3 - 15*b**2 - 9*b + 1. Is i(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a - 5. Let l be 6\/24 - (-50)\/(-8). Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13715 and -0.7?\nAnswer: 13714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 96032*w + 61 - 129.\nAnswer: 96032*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -11. Let y(r) = r + 29. Let f be y(-21). Suppose 4 = -2*v, 5*v + 22 = k + f. Solve -x*h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 438470 and 417280?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3 - 10*s - 19*s - 4*s - 28*s - 30*s. Let l(t) = -10*t. Determine h(l(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m\/(m*m**4))\/(m*(m\/((m\/((m\/m**1)\/m))\/m))\/m)**(-5\/14) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 423230684 times 0.1\nAnswer: 42323068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 50.1, -4, -3\/7, -92, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbfdwydf. Give prob of picking 1 d and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*u**3 + 6*u - 342 + 363 + 2*u**3 + 161 wrt u?\nAnswer: -1308*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 410 + -403. Let f(v) be the first derivative of v**4\/4 - 2*v**3 - 2*v**2 + 4*v - 2. Let a be f(g). Solve 4*k - a = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/((-4)\/16). Let t(m) = -10*m**2 + 2*m + m**3 - 5*m - m + 3*m + 9. Let l be t(10). Is l >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:06 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s - 3*g + 6, -3*s = -4*g + 14. Let z be 2 - 0\/((-2)\/(-2)). Suppose -p + z + 1 = 0. What is the remainder when p is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2793 = 517*i - 1343 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a733 - -20b?\nAnswer: -a524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 0 = -18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 12*s + 1. Let b be v(-9). Let a = 53 + b. Suppose a = 5*i - 10*i + 195. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -3*g**5\/5 - g**4\/4 - g**3\/6 + 3*g**2\/2 + g. Let w be -1*8\/(-44) + 24\/(-11). List the prime factors of o(w).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*g**3 - 3*g**3 + 233*g**3.\nAnswer: 376*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 3*l + 5*i, 0 = -5*l - 3*i + 129 + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-4))*l**(-2\/9)\/l)\/(l**(2\/7))**4*(l**(-1\/4)\/(l*((l\/(l\/(l*l**7)*l*l))\/l)\/l))**44 assuming l is positive.\nAnswer: l**(-15017\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.5. Let w = -22 + 52. Let t be (-10)\/w*(-6)\/8. Which is the second biggest value? (a) q (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 56363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*(p*p**4\/p)\/p*p*(p**(-1)\/p)**(-6))\/(((p\/p**(3\/5))\/p*p)\/p*p*p**(-13))**(2\/39) assuming p is positive.\nAnswer: p**(627\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536751 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 0 + sqrt(19)).\nAnswer: -4*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -681 + -39. Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 1170908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 212 + 108 + 104.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 smaller than 413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18. Let j be (2\/8 + d)*(-20)\/(-5). What is the hundreds digit of 4*27 + j + (1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244724257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.4 (b) -6\/7 (c) -7.6 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 4*g**2 - g - 5. Let n be t(-4). Let j be 9\/(-9) - (0\/9 - -4). Put n, 3, j, -3 in descending order.\nAnswer: 3, n, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.09 - -7.08579. Round j to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156188922*4\nAnswer: -624755688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 5 = -x + 2*h, 0 = -x - 4*h - 5. Sort 22, 2, x in decreasing order.\nAnswer: 22, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649356 divided by 216452?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3 + 0) - -1. Let i(q) = 5*q + 8 - q**2 + 0 + 0 + 0 + 2. What is i(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.1 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 25*f - 149. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3434 - 3362 + 121*r**3 + 6584 - 12*r**3 - 6*r**4 wrt r?\nAnswer: -24*r**3 + 327*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47310 is divided by 1690.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/50)\/(616\/(-1100))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60751 divided by 79.\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 256116826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39263\/5 + 7853. Which is the biggest value? (a) -3 (b) y (c) 0 (d) 2\/17 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a. Let c(u) = 6*u**2 - 4*u + 4. Let h(y) = -7*y**2 + 5*y - 5. Let p(t) = -5*c(t) - 4*h(t). Calculate p(g(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p**3 + 2*p**2 - 3*p + 2. What is the lowest common multiple of c(1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 0*f + 8 - f wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - y + 3 + (2 - 2 + y)*(-4 + 0 + 3) - 2*y - 3*y + 3*y)*(-625 + 625 - 104*y) to g*y**2 + q + a*y and give g.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1632*f - 49702 wrt f.\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, 1 t, and 1 s when four letters picked without replacement from isyimty?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -47 + 72008 + (-60)\/10.\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 17. Let v = -9 - l. Let s be 1 - (3 + -2 - 108). What is the greatest common factor of v and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 763732*b**3*n**3 + 26*b**3*n**2 - 16*b**3 + 61340*b wrt n?\nAnswer: 2291196*b**3*n**2 + 52*b**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 3*f - 13, 3*i + 4*f - 29 = 0. Suppose -i*m + 40 = m. 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: Calculate the remainder when 970421 is divided by 323449.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.45 - 11.45. Which is the fourth smallest value? (a) 4\/7 (b) 1\/3 (c) j (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92112.31l in millilitres?\nAnswer: 92112310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 39*x**2 + 63*x - 2. Let f be m(-21). Is -11\/15 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**4 + 20*h**2 - h**4 + 13*h**4 + 5 in the form u*h**2 + f + p*h**4 + m*h**3 + y*h and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:47 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Let y be v(3). Suppose 4*s - 4*t = -0*t + 8, -y*t + 8 = s. Suppose -4*w - s*n - 36 = -164, -3*w + 121 = -2*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377103 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*l - 12*l - 33*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -4*o - o. Suppose -b = 5*h - 43, 3*b - 4*h - o = b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111110 - -1?\nAnswer: -10000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004630526 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-9)\/(-2). Let f be (-4)\/g*4*-5. Let a = f - -17. Does a = 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24443 minus -1.019?\nAnswer: -24441.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:09 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772924*b - 396 = 772946*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1953 (b) 0 (c) -0.1 (d) 1510\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/4*(-32 - -9 - -25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-7)\/(-1) - -1. Suppose x + 3*z = 3835, 15380 = j*x - 3*x + 4*z. Round x to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 20986*q - 76 + 4*q**2 + 20986*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(11) + sqrt(2) - sqrt(160)\/sqrt(5)) + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:56 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 18*y - 8*y. List the prime factors of (1 - y) + (4 + -128)\/(-2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 719095*f*j + 6*j + 44867 wrt f?\nAnswer: 719095*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.58073717 - -0.146?\nAnswer: -418.43473717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 33320?\nAnswer: -33323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**3 - 3*q + 2. Suppose -2*j - 7*j - 54 = 0. Let w(c) = -9*c**3 + 4*c - 2. Determine j*r(y) - 5*w(y).\nAnswer: -3*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -5*l**4\/4 - 6*l - 7. Let o(j) = -2*j. Calculate o(y(f)).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33459, -66910, -100377, -133866, -167383?\nAnswer: -200934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12205\/(-9764))\/((-2)\/32).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 122 = -518. Suppose 2*f = 3*l + 7*f + 20, -2*l - d = -f. Is -21 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -83?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -4*f - 3, 0 = 4*f. Which is the second smallest value? (a) -0.4 (b) i (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of -13 + 14 + 14053 - -15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20780 (b) 168 (c) 0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 21*f - 38*f)*(-27 - 3*f**3 + 24 + f**3 - f).\nAnswer: 44*f**4 + 22*f**2 + 66*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29)\/(-9) + 12\/(-54). Solve 2*d = 5*d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**3 - 2*f**2 + 2*f - 2. Let p(r) = -18 - 5*r + 5*r**2 - 2 - 27*r**3 + 6*r**3 + 25. Determine 2*p(b) + 5*y(b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1364*r**2 + 2*r - 2042*r**2 - 2*r - 185*r**2 to the form i + d*r + p*r**2 and give p.\nAnswer: -3591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:52 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68\/3 of a decade?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -17, -75, -189, -377, -657?\n\"Answer: -3*r**3 - r**2 + 4*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 215201\nAnswer: 1\/215201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 94, 145, 226, 343?\n\"Answer: h**3 + 6*h**2 + 2*h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7393 - 7389. What is the closest to 19 in -4, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2 + -4)**2 + (-3*(sqrt(17) + -1))**2 + sqrt(68)\/sqrt(4) + -5.\nAnswer: 31*sqrt(17) + 785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 9 - 4. Suppose 18 = -x*m + 7*m. Suppose 10*s - m*s = 32. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*c + 2, 5*c + 9 = 24. Let u(m) = -m**3 - 1. Let r(j) = -j**2. What is w*r(y) + u(y)?\nAnswer: -y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9027 times 0.3\nAnswer: 2708.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2698 and -109\/10.\nAnswer: 13490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-6)*4*17. Suppose 2*j = -4*s - 0*s - 16, -4*s - 30 = -5*j. Suppose p - 157 = -5*h, -h - j*h + 2*p + d = 0. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4594746 and 702.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1 (c) 1\/2 (d) 6\/31 (e) -1\/5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/6, 413, 17\/11?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 7254*t**2 - 58160*t.\nAnswer: 2*t*(t - 3635)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1832 and 5176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 139.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 14. Let l(h) = -4167*h**3 + 12*h. Let w be l(j). Round w to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -79\/5*w**4 - 12\/5 - 3*w**5 - 101\/5*w**3 + 44\/5*w + 19\/5*w**2 = 0?\nAnswer: -3, -2, -1, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -20 + 2. Let s = -8 + z. Let d = -6 + s. Solve -2*b = -2*l - 6*b + 20, 0 = d*l - 2*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:45 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6 = -3*c, -37031 + 37046 = 3*c - 2*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 1131, 3691, 8679, 16905?\nAnswer: 29179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-52) - 61107\/117*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times 4?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-14)*(-8)\/(-12). Let w be (-5)\/(-18)*(-6 + 612\/90). Sort w, -2, t, 4\/5 in ascending order.\nAnswer: -2, w, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 8*t + 935. What is the units digit of x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 + 5038005*r - 5038000 = 0.\nAnswer: 1, 1007600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2. Let m(n) = 4*n**2 + 2*n - 2. Let w(y) = m(y) + t(y). Let x be w(3). Factor 1\/5*d**2 - 2\/5*d**3 + 0 + 0*d - 3\/5*d**x.\nAnswer: -d**2*(d + 1)*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1692 + -1644. Solve 14 = 41*o - y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 2*z - 7, 2*z - 557 = q - 554 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2919 - -2922. Which is the closest to -83? (a) -0.1 (b) 0.2 (c) h (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 25 - (-244 - -239)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27105, -54221, -81337, -108453, -135569?\nAnswer: -162685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216842949?\nAnswer: 3, 24093661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192878, -1543073, -5207890, -12344639, -24110630, -41663173?\nAnswer: -66159578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 3*s**2 + 16*s + 11. What is i(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 1. Let v be w(0). Let d = 758\/7 - 108. Which is the third smallest value? (a) 2 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045262 rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhfhhf. What is prob of picking 1 f and 2 h?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 32071340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -13485?\nAnswer: -13482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/28)\/(845\/(-455))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -32*i - 7 - 5*i + 0. What is the remainder when h(-2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.4 + 28. Let f = -62.1 - -66. Let z = f - -0.1. What is the smallest value in m, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2038269383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232\/649 or 1?\nAnswer: 232\/649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15797401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5002, -9145, -13288, -17431?\n\"Answer: -4143*b - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/((-9)\/(-3)))\/2. Suppose x = 5*g - 5 - 15. Suppose -i + 246 = g*b + 64, -2*b + 98 = -3*i. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s*s**(-2)*s)*s)\/s*s*s))\/s)\/s*s)**(-45)*s*(s*s**(2\/5)*s)\/s*s\/(s**(-4)*s) assuming s is positive.\nAnswer: s**(707\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*q**5 - 846857*q**2 - 92276636*q?\nAnswer: -260*q**3 - 1693714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-126)\/540 - 5\/30 - (-229374)\/10?\nAnswer: 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -359*c**4 + 6*c - 3 + 357*c**4 - 56*c**2 + 49*c**2 in the form q + y*c**4 + z*c**3 + u*c**2 + r*c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 515.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40\/21 - 11\/7. Let q(w) be the second derivative of 0 + 0*w**2 - j*w**3 + 2*w. Let f(r) = -2*r**2. Give q(f(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27774*-2.7894.\nAnswer: 77472.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5. Let v = 642 - 633. Let m be (-2)\/(-2)*(v + -4). Solve -g + y = m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413459*f - 66 = -413458*f + 4*u, 4*f = -2*u - 40 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/15 - ((-35)\/6 - -3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.046 at most as big as 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 63 + 45 = 0. Calculate the greatest common factor of q and 591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1413, 0.2?\nAnswer: -1413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-16) + 21471\/359856. Let o be (0 - -1) + 13358\/10584. Let j = y + o. Find the common denominator of -47\/9 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-884)\/8840)\/(2\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - i - 3*i)*(16*i + 28 + 251 - 460) as f*i**2 + y + l*i and give l.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*l - 68 = -84, -w + 5*l - 38 = 0. Put w, 91, 1 in descending order.\nAnswer: 91, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1215 or 10942\/9?\nAnswer: 10942\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = y - 7261, 8 = -4*y. Suppose -5 = 5*p, 5*p - g = 4*a + 2*p. Let w = a + 106. Round w to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*z - 416 + 388 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(36*b**3 - 4*b**2 - 60*b**3 + 30*b**3 + (1 - 2*b**2 - 1)*(-b + 4*b - b) + 2*b**3 - 5*b**3 + 4*b**3).\nAnswer: 6*b**4 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -82, -4, 6, -5, -4\/7 in descending order.\nAnswer: 6, -0.1, -4\/7, -4, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 748 = 18*f. Let n = f + 24. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t + 27*t - 10*t. Let a(c) = -21*c - 13*c - 25*c. Determine a(y(u)).\nAnswer: 59*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + (-8)\/6. Let i = 1 + j. What is the third derivative of x**2 - 3*x**6 + 4*x**6 + i*x**6 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 958 - 4008. Round s to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(-1 - 2*a**2 + 1) + 3*a**2 + a**2 - 3*a**2 + a**2 - 3 + 3 + 30*a + 2689*a**2 - 133*a - 2652*a**2 to the form j + n*a + l*a**2 and give n.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 45.6 + -43.6. Let g = 6 - 5.9. Let i = -0.1 + 0.5. Which is the closest to g? (a) u (b) i (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 4*m - 18732. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -67*f + 68*f - 1, -5 = -5*f + s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138964506 rounded to 4 decimal places?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10585 a factor of 209318375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*h - 9 = -5, -4*l + 20 = 4*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n**4*(n*n\/(n*n**(-2)*n*n*n*n))**43)**24 assuming n is positive.\nAnswer: n**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 5*w - 5*o = -125, -16*w - 19*w = -4*o - 91 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 565 - 8*s**2 + 6*s**3 + 6*s - 7*s + 573.\nAnswer: (s - 8)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, 0, -687, -1, 44 in descending order.\nAnswer: 44, 3, 0, -0.3, -1, -687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3266)\/(-805) - (4 - 0))*7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -415365.8004 - -814061.8541. Let s = -398520 + n. Let g = 176 - s. Round g to 3 decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 17 - 8*t + 54 - 17 - 17. Calculate k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 48. Suppose -4*m = -4*x - 12, -4*x + 2*m + 1 = 7. Suppose -3*w - y + 29 = x, 2*y - 7 = -3. What is the highest common factor of w and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -14*a + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2177166 divided by 362861.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 240, 408, 650, 990, 1452?\nAnswer: 2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*o - 62 = 2*o + 28, -5*f + 6*o + 949 = 788 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.3. Let z = t + 0.5. Put z, 2\/3, 5 in descending order.\nAnswer: 5, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 10. Give o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7715 + 2491 + 3*d**2 + 2726 + 2498.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52083516*d**4 - 81320728*d**2 wrt d?\nAnswer: -1250004384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1488600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let l = 36 - 52. Let t = 11 + l. Which is the closest to -1? (a) u (b) t (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w. Let h = w - -8. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846*a = 680*a - 664. What is the second smallest value in a, 3\/7, -2\/7, -2.7, -14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4469, -8941, -13419, -17903, -22393, -26889, -31391?\nAnswer: -35899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329 or -3279\/10?\nAnswer: -3279\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acpuapdudusups. Give prob of sequence uaap.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - -29. Let d = -162 + l. Which is the biggest value? (a) 63 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 383. Let k = g + -437. Calculate the remainder when (k\/(-6) - 1)\/(6\/9) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24449 - 2?\nAnswer: 24447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k**2 + 42*k - 42*k)*(3 - 3 + 3*k**2)*(-k - 5*k - k).\nAnswer: -315*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o. Let t(h) = -50 + 50 + 2*h**2. Determine t(m(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z - 20. Suppose 13*g - 882 = 6*g. Let m = g + -121. Calculate the least common multiple of a(m) and 166.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 671, 1000, 1341, 1700?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(224) - -5*sqrt(224) - sqrt(224) - sqrt(224)))\/((sqrt(242) - 1*sqrt(242))*-3 + (sqrt(242) + sqrt(242)*1)*4).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7*o = -21. Calculate the remainder when 81 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 0*i - 4*i. Let p(v) be the second derivative of -v**3\/6 - 454*v + 9. Give -4*l(o) + 5*p(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 22. Suppose 5*p = -2*u + 260, -5*u + o*p = -0*u - 681. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let p(w) = -2550*w. What is p(q(c))?\nAnswer: -2550*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2) + (3 - 2). Suppose -3 = -2*d + 5. Let z be d\/18 - 575\/(-207). Solve -2*n + s = -z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m = -4*l + 74*m + 1208, 612 = 2*l + 5*m. Solve 297*g = l*g - 28 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, -2, -20.\nAnswer: -20, -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/5 - -1) + 24\/(-15). Which is the nearest to 0? (a) q (b) -3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 179, 364, 547, 728?\n\"Answer: -g**2 + 188*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117647943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 10917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/3))\/v**(-3\/5))**(-20) assuming v is positive.\nAnswer: v**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4, o: 4, l: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nonnlnnnqnnnllnllln. What is prob of picking 2 l?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + 0*y)*(3 + 532*y - 189*y - 247*y)*(5430 - 53*y - 5429 - 34*y).\nAnswer: -8352*y**3 - 165*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*n - 701 = 24, -5*o = -5*n - 3610. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928 = -j - 5*w, -3*j + 0*w + 2734 = 5*w. Suppose -28*l + j = -7161. What is the highest common factor of 72 and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -810 - -810.1. Put y, -55, -2 in descending order.\nAnswer: y, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 + 2*f + 5. Let j be l(-6). Let g(t) = -3*t - 9. Let y be g(j). Is y + -3 + (-1)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 261 - 1293\/5. Factor -m - 3\/5*d**2 + 12\/5*d.\nAnswer: -3*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + d + 4. Let i be w(3). Suppose 5*l = m + 145, -3*l + 48 + 46 = -2*m. Suppose l = o - i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*m - 5*t, 0 = 4*m + 5*t + 41 - 12. Let l(g) = g**2 + 5*g + 1. Give l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*z = 5*a - 136, 0 = -2*a + 4*z + 32. Let n be (-4)\/a*-316*3. Suppose -10*o = -n - 52. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -448*r**4 + 4*r**2 - 20159 + 20159 - 319*r - 1474*r**4 wrt r?\nAnswer: -46128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 168. Let s be k(-30). Let i = 342 + s. Solve -5*y = y - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453879251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.807193 - -1.7988. What is f rounded to four dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.14. Put -1\/6, -4\/9, o in descending order.\nAnswer: o, -1\/6, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277231.884 rounded to the nearest ten?\nAnswer: 277230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/240 and 22\/71343.\nAnswer: 5707440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279 and 117.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 2, y: 1, f: 2, l: 2, x: 1}. Give prob of picking 1 l, 1 f, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-8712))\/(((-484)\/495)\/(-22)).\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 95278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)*d**17)**(-14\/11) assuming d is positive.\nAnswer: d**(-3066\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 14 (c) -0.12349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 70*p + 727. Let g be t(-50). Let h(w) = -35*w**3 - 4*w**2 - 4*w. Let n(b) = 2379*b**3 + 273*b**2 + 273*b. Give g*h(j) - 4*n(j).\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c\/c**6)*(c\/(((c*c*c**(-3))\/c)\/c)*c*c)\/c**6)\/(c**(-1\/3)*c*c\/c**(-3\/8)*c)**(-10) assuming c is positive.\nAnswer: c**(473\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 248\/6 + (-12)\/9. Suppose -5*d = 5*q - j, 0 = 5*d - 7*q + 4*q. Solve 2*p = -4*u + 30, -d*u = 2*p - 36 + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 612322.\nAnswer: -612321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**3 - 4 + 4 + (-25*l**2 - 259*l + 259*l)*((1 + 4 + 0)*(-3 + 2*l + 3) - l + 2*l - 2*l).\nAnswer: -218*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 4:01 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 249*q**2 + 1054*q + 865. What is w(-87)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 42) + (-8782 - -8727).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-2)\/(-8)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6080 and 12920.\nAnswer: 103360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 12*d - 3. What is the remainder when 3 is divided by (-1 - 3)*d\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, c: 2, h: 4}. Give prob of sequence crhh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a - 4. Let u(l) = l**2 + l**2 - 19*l + 3 + 6. Let n(x) = 7*p(x) + 3*u(x). Calculate n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(40) + sqrt(40))\/(-2*sqrt(648)).\nAnswer: 19*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 5.79. Let n = -5.8000046 + s. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 384 = -7*x + 4*x, 0 = -5*r + 2*x + 661. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/(-111)*(5 - (-35)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {c: 7, i: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 - -21)\/((-2)\/(-5)). Suppose 12*y + 7*y - a*y = 0. Solve v = f - 8, -5*v - 10 = f - y*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123527 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m + h, 3*h - 2*h - 13 = -3*m. Suppose 7 = m*t - 8. Let c be 0\/(-2) + 1\/(-1). Put t, c, -4 in descending order.\nAnswer: t, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 12)*(-3)\/5. What is the closest to 1 in -0.8, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 846 = -3*g, -3*g - 172 = -2*f + 179. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + v - 5792. Let l(n) = -180*n - 7. Give o(l(i)).\nAnswer: -162000*i**2 - 12780*i - 6044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - 16.81. Let q = d - -18. What is the nearest to q in 0.5, 0, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(4 + 0 - 2). What is the third derivative of 100*c - 100*c + 43*c**5 - 9*c**2 + 30*c**p wrt c?\nAnswer: 2580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186302998 by -1939.\nAnswer: 96082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -784*t**3\/3 - 1145*t**2\/2 - 484. Find the second derivative of p(c) wrt c.\nAnswer: -1568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3105 and 0.1?\nAnswer: 310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let w(n) = 9*n**3 + 54*n. Let m = -36 - -37. Let u(z) = m*w(z) - 54*k(z). Suppose 2*x + 4*d - 6 = 0, d = -3*x - 0*x + 4. Calculate u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**0*s))\/s*s)**(-8\/17)\/(s**(-4\/3))**3 assuming s is positive.\nAnswer: s**(76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.37339746648 and -1.223.\nAnswer: -1.59639746648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*i + 3*i - 2*l, -i + 4*l + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14649 - -26408. Suppose j = 4*r + s, -2*s + 11969 = 4*r + 207. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 1074242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -36 + 53 - 17*w - 77 - w**2. What is q(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923000 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 36, 54, 72, 90?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzx when three letters picked without replacement from {k: 5, x: 1, n: 7, z: 3}?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -1 + (-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28836 is divided by 28707.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:46 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 2*(-8 + -3). Suppose -g - 6 = -y. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 14*a - 33. Suppose a*o = -o + 5, -d + 2*o + 5 = 0. Solve 4*f + 19 = -k, 5*k + 0*f + d = 2*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21690125 * 0.03\nAnswer: 650703.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012211?\nAnswer: 3, 47, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.1 + -13. Which is the closest to g? (a) 0.3 (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = x + 12, -2*x + d + d - 12 = 0. Let g be (-9)\/x - (-14)\/(-49). Differentiate 7 + 1 - 3*k**2 - 1 - g wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/15 - 2*f**3\/5 - 21*f. Factor b(k).\nAnswer: 4*k*(k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 6\/475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from iuhihuwhwhhihiut?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/18 - 4*p**5\/3 + 67*p**4\/6 - 316*p**3\/9 + 11*p**2\/2 + 168*p - 6258. Let o(r) = 0. What is r?\nAnswer: -1, 3, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -430, -1018, -1856, -2950, -4306, -5930, -7828?\nAnswer: -10006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, 0, -3, 4, -37, -4 in descending order.\nAnswer: 4, 0, -3, -4, -37, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*d**6 - d**3*i + 4*d**2*i - 79*i wrt d?\nAnswer: 4320*d**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1482.06 (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -312 + 311. Is 0.122 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (7 + -10)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immitcmmmmimtcyymmm. What is prob of sequence ty?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4692 and -75.\nAnswer: -4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 8*p - 17. What is o(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -8*w + 224. Let f = w + -11. What is the remainder when 185 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 792*i**2 + 39984*i - 76832.\nAnswer: 4*(i - 98)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 272.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 17 - 3 = 0, -4*c - 23 = -l. Let b(t) = -5 - l*t + 13 - 8. Let i(j) = -13*j. Calculate i(b(m)).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2170 divided by -434.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 88 = -31*s. Let l = -5 - -12. What is the lowest common multiple of l and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010843 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 5, x: 1, i: 4, w: 1}. What is prob of sequence hpp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3867749 divided by 4.\nAnswer: -3867749\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6717830 by -38.\nAnswer: -176785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 7*s**2 + 9*s + 4. Let q be p(-6). Let i(h) = -h**2 - 17*h - 34. Calculate i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -2*t. Let i = 85 + -58. Let n be (-6)\/i + (-1984)\/(-18). What is the greatest common divisor of t and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 35?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 1133450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -203, -199, -195?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 618992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38840410 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3509*m**2 - 6*m - 3504*m**2 + 6*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 23*i**3 - 9*i**2 - 4*i - 12. Let m(z) = z**3 + z**2 + z + 2. Let y(u) = -6*m(u) - w(u). Find the third derivative of y(o) wrt o.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/133 + 26\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o**3 + 0*o**5 - 6 + 7\/6*o**6 + 21\/2*o**2 + 0*o**4 + 0*o. Find the second derivative of s(w) wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33*g**2 + 13*g + 15. Calculate o(-4).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {x: 1, e: 11, g: 8}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-10)\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 442 + -445. Suppose 0 = 5*m - 3*u + 42, 1 = -4*u + 17. Are m and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -11. Let t = 0 - x. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose v = -d + 8. Let j(z) = 2*z**2 + 3*z + 2. Is j(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23680\/259)\/80 - (-1146)\/14?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6044 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (97 - 37) - 44\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - q + 4. Let f be h(4). Let n be 0 - (-2)\/(-4) - (-33 + f). Suppose 5*w = -2*a - 20, 0*w - 2*w = a + 8. Is n smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 3*g + 7, -1783*w - 2*g = -1778*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 204, 326, 466, 630, 824?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -16*l + 9*l. Let i(f) = f + 102. Is 6 a factor of i(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiibiiiiib.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -43, -92, -161, -250?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212946?\nAnswer: 2, 3, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141652679 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:03 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-107)\/(-3)*(-5 - -2). Let o be ((-4)\/10)\/((-5)\/(-275)). Let b = o - n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/4 - 16*z**3\/3 + 10*z**2 - 14*z + 5. Does 30 divide r(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -82. Find the common denominator of p\/513*(-30)\/4 and 29\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 220\/(-385)*14\/4. Let w be ((-1)\/(-2))\/((-12)\/96). Sort w, 2, x, -3 in increasing order.\nAnswer: w, -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029844286 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s - 4. Suppose -2*x = -k + 7 + 4, -31 = -5*k + 4*x. Let c be y(k). Suppose c*h - 32 = -2*h. What is the remainder when 23 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from vcyecysvcoyoyco.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + c + 20 - 7)*(-2 - 4 + 5).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -626682 divided by 4?\nAnswer: -313341\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4612 - 652?\nAnswer: 3eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.792 times -5078?\nAnswer: 4021.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 269\/(-5) + (-414)\/345. Let b = y - -74. What is the remainder when 169 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/14*(-1246)\/712. What is the closest to -5 in 0.2, 2\/13, o, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113223 + 243032?\nAnswer: 124304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - (49 + -56 - (-2 - -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m = -38*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.100943 years in months?\nAnswer: 73.211316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.02 + 2. Let q = 0 - 0.1. What is the smallest value in -1\/2, j, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -22, 11 in ascending order.\nAnswer: -22, -5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52 and 0.1?\nAnswer: 52.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/81*5400\/400. Solve -p + 4*x - 7 = 0, -j*p + 13*p = x + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2344)\/612 + (-8)\/136 and 41\/894.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 24 = c. Suppose 0*r = r - c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:47 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 689636*36\nAnswer: 24826896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62207 is divided by 1821?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scjcsjccusqucsp. What is prob of sequence pqus?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307694753.\nAnswer: 67, 727, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(0 + -3) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-3 + 3 + c**2) - 2*c**2 - 3*c**2 + 6*c**2)*(-c**2 + 0 + 0).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260071\/18 - 14448. What is the common denominator of q and 157\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/2*(-42240)\/13860?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0461 + -0.7958.\nAnswer: -0.7497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17750952.9ns in days?\nAnswer: 0.00000020545084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31203133 (base 4) in base 11?\nAnswer: -38792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/30 - 4\/24. Let u(a) = -2*a + 2. Let g(b) = -5*b. Let m(d) = 13*d. Let p(l) = 5*g(l) + 2*m(l). What is j*u(v) - 4*p(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -81242 (b) -5 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-18)\/(-10) - 2). Suppose 104 - 142 = -19*f. Suppose 2*r + 183 = o*i + 4*r, -i - f*r + 43 = 0. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11808637 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvyyyvkucyyyycu. Give prob of picking 1 v, 1 c, and 1 u.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 12 (c) 138\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1745*m**3 - 4303.\nAnswer: 5235*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -3, -11\/139.\nAnswer: -3, -11\/139, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9495422821 - -1.\nAnswer: 9495422822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 38*z**4 - 19 - 2 + 2 - z**4 + (z**2 + 0*z**2 + z**2)*(-5*z**2 + 0*z**2 + 4*z**2) + 4*z**4 - 3*z**4 - 3*z**4 + 0*z**3 + 0*z**3 + 2*z**4.\nAnswer: -41*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 19*v**3 - 130*v**2 - 59*v + 17. List the prime factors of t(11).\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*n - 4*d - 16, d + 3 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 343\/(-28) - 1 - (-24)\/(-32)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12430, -23740, -35050, -46360, -57670?\nAnswer: -68980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 168*a**2 - 9. Let j(n) = 165*n**2 - 7. Calculate -4*b(m) + 5*j(m).\nAnswer: 153*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.176ml to litres.\nAnswer: 0.066176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = 2*j. Let q(f) be the first derivative of f**3\/3 - 13*f**2\/2 + 26*f - 49. Calculate the smallest common multiple of 22 and q(j).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -1762, -5309, -11828, -22213, -37358, -58157, -85504?\nAnswer: -120293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - n = 10, n - 6*n = 25. Solve 0 = 3*q + 2*r + 7, 0 = 2*q - 3*r - 22 + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -12. Let v(h) = -h - 2. Let f(a) = -u(a) + 4*v(a). Let r(z) = -3*z + 2. Let o(y) = 4*f(y) - 5*r(y). Calculate o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 - 3) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102482024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.004 and 0.5.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-29952)\/(-3744) + (1188\/(-51))\/3\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 571 - (-1 - 3)\/(6\/(-3)). Suppose 6*b = -107 + s. What are the prime factors of (-22)\/b - (-261)\/7?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -860\/567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - (sqrt(4840) - sqrt(4840)*2))\/(5*(sqrt(32) + sqrt(8) + sqrt(8))).\nAnswer: 11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36e + -7?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 835.2484m?\nAnswer: 835248.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-12)*((-1)\/6 - (-3936)\/(-4032))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from mxxqbfbfqmxtmbq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -409*y + 13485. Give o(33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/7 + 384*h\/7 - 760\/7 = 0.\nAnswer: 2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4998)\/(-294) + (-1 - -43).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 157. Let g(k) = -18*k - 37. What is the remainder when g(m) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111011000 + 11?\nAnswer: -1111111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 9092*f - 22569214.\nAnswer: 2*(f - 1783)*(f + 6329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = -41*y - 1390, 4*y + 3 = 5*z - 106 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -948 (base 10) to base 13\nAnswer: -57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (0 - (-6)\/3). Let x be (-2 - -8) + 2\/(-2). Suppose -4*l + 7 + 9 = 0, -2*d = x*l - 20. Solve d = m - v*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.02 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 14, 15, 18, 23, 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**4\/10 - 4*b**3\/15 + b**2\/5 - 20. Suppose x(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n. Let u be x(1). Let o be u\/(9\/(-3)) - -7. Let t(m) = 7*m**3 + 6*m**2. Let g(h) = -8*h**3 - 7*h**2. Give o*t(f) + 6*g(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 140*b - 7357. Is s(115) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44654 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -261, 5, -119?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1308)\/14715*5\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 plus -0.1008652?\nAnswer: -0.1768652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-45)\/10 - -5)\/((-3)\/(-9714))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:21 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*x + 261. Let g = -61 - -101. Let a = g - x. Sort -5, a, -10 in descending order.\nAnswer: a, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75575 or 151151\/2?\nAnswer: 75575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 1. Let k be 14\/18 + 4\/18. Let p be l(k). Find the second derivative of -p + 0*i - 8*i + 2 + 7*i**2 wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 7:13 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.92 + -0.08. Let j = 5.88 - -0.12. Let w = -8 + j. Which is the second smallest value? (a) w (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.377351 minutes in seconds?\nAnswer: 82.64106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 26*i - i - 6*i**2 - i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**4\/12 + 5*i + 5. Let o(g) = 6*g**2. Determine v(o(j)).\nAnswer: 180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2959720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let c be b(1). Let w(x) = -3*x - 1. Let k be w(c). Let r = 110 - 111. Sort 5, r, k in increasing order.\nAnswer: k, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*-2*(-40)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/17 + 6\/17. Let n = -24 + 23.75. Let m = n + 3.25. Sort a, -2\/3, m.\nAnswer: -2\/3, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23*l + 27 + 6*l**2 - 6*l + 8*l - 5*l**2 + 60. Let p be k(-4). Solve 3*g - p*s = 2*s + 5, 4*s = -2*g + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(10\/3)*a**(5\/2)*a*a*(a\/a**9*a*a)\/(a**(-1\/22)\/a))**(-19) assuming a is positive.\nAnswer: a**(1121\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shsshhhhssss. Give prob of picking 3 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4fe8 (base 16) to base 8.\nAnswer: 47750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184192 and 33738794.\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 59*y - 1044 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2)*(-2)\/6. Let t = -1.8 + -0.2. What is the closest to o in t, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262132789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28773.\nAnswer: 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1694*w - 173. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -4, -377\/11974?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 11 + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 3:04 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.076 - -18. Let a = 0.424 - k. Let g = -0.03 + 0.06. What is the third smallest value in g, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**3 - 3*f**3 + 0*f**3 + (-3*f + 3*f + 2*f**2)*(-6 - 3*f + 6) to the form l*f + r*f**3 + i*f**2 + h and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/(-12) + (-42)\/24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - d**2)*(119 + 119 - 66)*(19*d**3 - 7*d**3 + 12*d**3).\nAnswer: -4128*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 111. Let n = i - -47. Which is the closest to n? (a) -5 (b) -0.1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 2*c - 1. Let d be y(-1). Is 4 + (-6)\/d + 12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 314020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**7\/420 + f**6\/360 - f**3\/6 + f. Let s(j) be the second derivative of c(j). What is the third derivative of s(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.943908 hours in days?\nAnswer: 0.9143295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011135 to six decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*d + 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -11, -13, 174, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, 1, 2, 0.5, -0.5, 5.\nAnswer: -610, -0.5, 0.5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -0.042027?\nAnswer: 2.227431","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqgmycymqmqqqgmmm. What is prob of picking 1 q and 1 y?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1361680 or -1361685?\nAnswer: -1361680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2480 divided by 620?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 4*o + 3 + (-o + 0*o + 2 + 0*o)*(8 - 13 - 2) - 4 + 4 + 2*o.\nAnswer: 5*o - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a29 (base 14) in base 12?\nAnswer: -43b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/8*24\/(-60))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1185*q**2. Let s(v) = -10039*v + 3 - 3 + 10041*v. Give g(s(h)).\nAnswer: 4740*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -0.4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n. Let x(q) be the first derivative of -q**2 + 3*q - 4*q + 2 - 4*q + n*q. Differentiate x(g) with respect to g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/6 + 23*j**2 + 8337*j. Let x(a) = 23. Give 2*q(s) - 5*x(s).\nAnswer: -2*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*a + 36 = -28, 3*i - 3*a - 39 = 0. Find the third derivative of -44*x**6 + i*x**6 + 25*x**6 - 4*x**2 + 0*x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 105. What is the remainder when 12 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -2. Suppose 1100*v + 4832 = 284 - 952. Sort -74, b, 3, v in increasing order.\nAnswer: -74, v, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + b - 19 = 0, -3*q - 6 = 3*b - b. Let y = 0.19 - 0.74. Let i = 0.05 + y. What is the third biggest value in 5, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1650565 divided by 5\nAnswer: 330113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 11) to base 14\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (23 + (-12 - (0 + 4 + -14))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - n**2 + 7\/5*n**4 + 9\/5*n - 9\/5*n**3.\nAnswer: (n - 1)**2*(n + 1)*(7*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2\/10)*(-1840)\/1288. Which is the nearest to t? (a) 4 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71a2 + -1?\nAnswer: -71a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0, -44 in decreasing order.\nAnswer: 0, -44, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 - 3064*j**3 + 103651*j**2 + 4490650*j = 0. Calculate j.\nAnswer: -3097, -25, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 16382820.0124?\nAnswer: 16382815.0124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = n - 0*q, -5 = 2*n - 3*q. Let t be -2 + -3*n\/6. Suppose 3 = -t*m + 27. What is the remainder when 22 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 94 (b) -7 (c) 2\/17 (d) -0.1 (e) -54 (f) -0.3 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12042, 24210, 36376, 48540, 60702, 72862, 85020?\nAnswer: 97176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -26*q - 12. Let g(u) = -17*u - 8. Let m(d) = -7*g(d) + 5*k(d). Is 15 a factor of m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = -4*n - 3*o + 13560, 0 = -5*n + 2*o + 17459. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7207 + 7208. What is the nearest to 2 in 0.2, 18\/43, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 12\/((-4)\/(-2)). Let w(y) = y**3 + 11*y**2 + 16*y + 2. Let p be w(-9). Let h(q) = q**3 + 2 - 1 - p*q**2 + 10*q**2 + 5*q**2 - 5*q. Calculate h(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/120 - c**5\/20 - c**4\/12 - c**3\/2 - 13*c**2. What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162251.\nAnswer: 162251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haa when three letters picked without replacement from {a: 7, h: 2, l: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 44*j**2 + 144*j + 144.\nAnswer: 4*(j + 2)*(j + 3)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192859 is divided by 9650?\nAnswer: 9509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369 + 375. Suppose -4*g - 2*b = -2, -4*g - d - 1 = 5*b. Solve -i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -404 + 496. Find the third derivative of -85*p**2 + 5*p**5 - 11*p**5 - u*p**5 wrt p.\nAnswer: -5880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 + 2*a - 3. Let s be w(-8). Let n = 317\/7 - s. Factor 0 - 8\/7*h**3 + n*h**2 + 0*h.\nAnswer: -2*h**2*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763*v**2 - 769*v**2 + 2217*v**2 - 687*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -8 (c) -59 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.092, 0.3, 5\/3, 921, -0.5 in descending order.\nAnswer: 921, 5\/3, 0.3, -0.092, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.346497 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 101*r**3 + 188.\nAnswer: 101*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/20 + 16\/5. Suppose 0*b - 30 = -3*b. Suppose -5*j = b, -v*q + 20 = 5*j - 3*j. Solve -4*t = -2*k + q + 2, 16 = -4*k - t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190762*c**3 - 578156*c**3 + 193696*c**3 + 193703*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/44 (b) 2\/7 (c) -0.04 (d) 1\/21 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3896.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28728970?\nAnswer: 2, 5, 2872897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) -2\/7 (c) 531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279 + -2235\/8. Let h be (4\/6)\/(58\/174). Sort -8, 1\/6, h, z in ascending order.\nAnswer: -8, z, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43128764.99 to the nearest one thousand.\nAnswer: -43129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*i**3*j*z + d*i**2*j*z + 4*d*i*j*z + d*j*z**2 - 7*i**3*j*z**2 - 2*i**3*z + i**2*j - j*z**2 wrt z?\nAnswer: 2*d*j - 14*i**3*j - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 - -0.409. Let h = v + -0.011. What is h rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29264093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57326016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 22. Let f be k(-5). Let g(m) = -m**3 + 7*m**2 + 4*m - 4. Let b be g(f). Is 0 + 41 - b\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d + 9. Let o(i) = -i**2 + 25*i + 23. Let c be o(26). Let n(l) = -4*l + 4. Calculate c*r(s) + 7*n(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*v**2 + 580*v**2 + 375*v**2.\nAnswer: 1352*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 5*g**2 + 5*g - 5. Let m = 1\/2 - -5\/6. Let u(v) be the first derivative of 2*v**2 - 3 - 1\/2*v**4 + m*v**3 - 4*v. Calculate -4*d(c) + 5*u(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75046698 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.4739 - -0.9161. Let k = m - 54. Let b = k + -0.8. Round b to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/206 and -89\/25450.\nAnswer: 2621350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -9. Let l(m) = 3*m + 1 - 1 + 12*m**2 + 14*m - 1 - m**3. Is 15 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45569362 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 28.52. Let o = x + 1.82. Which is smaller: -15 or o?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 3, v: 4}. What is prob of picking 1 d and 1 v?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 119, -4, 49, -3 in decreasing order.\nAnswer: 119, 49, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7152 divided by -16?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 92*t + 1. Suppose -q - 2 = -3*q. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/8 - (-1)\/(-4). Let w(p) = -2*p - 1. Let n(k) = 37*k - 6. Let r(l) = n(l) - 2*w(l). What is the tens digit of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -799 - -799.1. Which is bigger: -8.75 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*b + 3220 = 386*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372925.7 kilograms in tonnes?\nAnswer: 372.9257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10131740 divided by -30244?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 40*o**2 + 95*o - 50.\nAnswer: -5*(o - 1)**2*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + -4 + (-130)\/(-14). Suppose -i - 5*c = 6 - 1, 3*i + o*c - 5 = 0. Suppose 0 = -s + 3, 224 = 2*r + i*s - 13. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 d be ((-1)\/2)\/((-3)\/(-6)). Let k = 1 + -3. Let x be ((-4)\/12*0)\/(-2). Put x, k, d in decreasing order.\nAnswer: x, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(28)\/sqrt(4))*-4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550 and 715.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23941313*j**3 + 299*j**2 + 9043*j + 2 wrt j.\nAnswer: -143647878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.921 + 0.079. Let h(s) = -s - 4. Let c be h(-5). Let j(u) = 6*u**3 - u**2 + u. Let x be j(c). What is the closest to t in -5, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4342 - -3?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18320 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: Let u = -3087 - -4604. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 21*c**2 + 22*c - 24. Let t = 45 + -25. What is the remainder when 63 is divided by u(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129231755 a multiple of 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -84.9 and -0.2.\nAnswer: -85.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.89 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360417925.\nAnswer: 5, 41, 1327237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722262745 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*u**4\/2 + 5341*u**3 - 10549*u**2\/2 + 74*u = 0. What is u?\nAnswer: 0, 4\/281, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2 + 7*t - 3. Let u = 556 + -542. What is the remainder when s(-3) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (5 + (3 - 5)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/((-3)\/(-10)). Let l = q - -234. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*k = -100, u + 2*u + 2*k - 38 = 0. Let i = u - -9. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:57 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3209?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-5)\/(85\/(-918))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12142?\nAnswer: 2, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 393900.5 micrograms in milligrams?\nAnswer: 393.9005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 10*p = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**7\/231 + 2*j**6\/165 - j**4\/33 + j**3\/33 + 12*j. Factor m(w).\nAnswer: -2*w*(w - 1)**3*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24397 divided by -2\nAnswer: 24397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 63.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 617646, 3 in descending order.\nAnswer: 617646, 3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 3*l**2 - 2*l - 3. Let w be u(-3). What is the second derivative of -k**4 + 5*k**4 - w*k + 5*k wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 3376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - 6) - (-2 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2556 + -2553. Suppose 10 = 2*t - 20. What is the highest common divisor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700) + 4)*-2 - sqrt(1700))**2.\nAnswer: 800*sqrt(17) + 42564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h + 132. Give o(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3933910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -334283, -334272, -334261, -334250?\n\"Answer: 11*u - 334294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1781211172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3684 - -3689. Put -3, q, 48 in ascending order.\nAnswer: -3, q, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k. Let t(p) = 8*p**2 - 5*p. Let m(x) = -4*x**2 + 3*x. Let r(y) = -5*m(y) - 2*t(y). Determine -5*c(v) - r(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3999 in -4, 7, -0.3, -5, -1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343588.\nAnswer: 2, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o**2 - 3*o)*(4*o - 3*o - 3*o) + 2*o**3 - o**3 - 5*o**3 + (-6 + 6 - o**2)*(31 - 15*o - 31).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let b = 57 - 34. Suppose 4*l = 7*s - 2*s - 13, l = -4*s + b. Calculate the remainder when l is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -2*sqrt(153) + (-3 + sqrt(102)\/sqrt(54))*3.\nAnswer: -5*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1535 - -2664. Let d = w - 1962. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079525741 to the power of 1\/3, to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(30\/(-8)))\/((-1400)\/60)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(76)\/sqrt(4) + -2 - (sqrt(76) + -1 + (sqrt(209) + sqrt(209)*-2)\/sqrt(11) + -2))**2 + -3.\nAnswer: 38*sqrt(19) + 6857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -34, -40, -50?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-8)\/2))\/(3\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -237*o + 87. Is 18 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*b - 345 = 1083 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 13*q + 4. Let f be b(7). Suppose -t + f = 8. Solve -t*j - 4*x + 13 = -2*x, -5*j = 3*x - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76857313 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 - (-39 + 33) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + -4045?\nAnswer: -4086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 10, 24, 44?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.084890643 + -0.3.\nAnswer: -0.384890643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/((-15)\/6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 8 + 1\/3*b**3 + 0*b**2 - 29*b. Let p(m) be the first derivative of k(m). Let s(g) = -g. What is s(p(o))?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 1, u: 1, z: 1, j: 2, i: 1}. What is prob of sequence dz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from mgfmeefvb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 54. Which is the closest to 1? (a) -5 (b) 4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62283298789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16623 divided by 9\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2*(0\/(-3) - -193)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 1, o: 2, d: 3, j: 1}. What is prob of sequence do?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100528882 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u**3 - 13*u**2 - 17*u - 19. Suppose -3*z - 46 = -4*b, 5*z + 5*b - 37 = -32. Let p(d) = -8*d**3 - 6*d**2 - 8*d - 9. Determine z*m(q) + 13*p(q).\nAnswer: -2*q**3 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7038 (base 11) in base 10?\nAnswer: 9358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23758, -47461, -71164, -94867, -118570?\nAnswer: -142273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d - 12. Solve 1 - d = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 1.3, -12?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38440, -76883, -115326, -153769, -192212, -230655?\nAnswer: -269098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 0*a**4 + 2*a**5 + (a**5 + 3*a**4 - 3*a**4)*(0 + 0 + 2) + (-601*a + 23*a**2 + 601*a)*(0 + 0 + a**2)*(3*a - 3*a - 2*a).\nAnswer: -42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170716850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = -5*s + 730, 0 = -5*p + 3*s + 770. Let w = p + -76. Let f = w + -66. Calculate the remainder when 15 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/51)*a*a)**(-3\/19)\/((((a\/a**2)\/a)\/a)\/a**35) assuming a is positive.\nAnswer: a**(12120\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/109, 15777, -5.\nAnswer: -5, 3\/109, 0.5, 15777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 175*h**2 + 7 + 149*h**2 - 4*h**2 in the form u + i*h**2 + w*h and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 - 33 = 0. Let p(o) = -2*o + 22. Let a be p(9). Suppose a*h = -h. Solve h = 5*m + y - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 27*j - 29*j + 226 = 0, -3*j = 3*k - 231. Let d be ((-6 - 3)\/k)\/(3\/(-81)). Suppose 0 = 7*m - 4*m - 9. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/294 and 107\/18.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/2)*u**(4\/7))\/((u**(2\/7)\/u)\/(u*u*u\/(u**(-8)*u))))**(-19\/2) assuming u is positive.\nAnswer: u**(-2869\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1087861831?\nAnswer: 2\/1087861831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1809, 2\/7 in decreasing order.\nAnswer: 2\/7, 0, -1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1783039*z**2 - 91949*z + 8359. Let f(c) = 1280*c**2 - 66*c + 6. Give -8359*f(q) + 6*r(q).\nAnswer: -1286*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 + 4 + 4)*(-3)\/6. Suppose -10*a = -p*a - 135. Calculate the remainder when 52 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (8 - (12 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x + 46*x + 375 = 99*x. Solve -8*r + x = 319 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-3)\/(-84))\/(-3)*8\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70035, 280133, 630297, 1120527, 1750823, 2521185?\nAnswer: 3431613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 - k - 7. Let p be r(-5). Let z(o) = -9*o + 2. Let c be z(p). Suppose 0*x - 4*x = -c. Sort -5, 1, x.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*q, -15 = -5*q + b + b. Suppose -424 = -q*z - 99. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25501*u - 25305. Give r(1).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7403 less than or equal to -7433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6805 - -13613\/2. Find k, given that c*k**2 + 3\/8*k**5 + 3*k**3 + 0 + 15\/8*k**4 + 0*k = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1357*m = -1356*m + 5*i, -40 = -7*m + 5*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-20))\/(6\/(-10)). Let g = 0.98362 + 0.01638. Sort g, 3, s, 2.\nAnswer: s, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 + -1b02b6?\nAnswer: -1b03b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let p = 815 + -780. Let i = p - v. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 6 + 1\/20*t**5 + t**2 - t**3 + 10*t + 1\/2*t**4. Let r(m) be the first derivative of z(m). Give r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -12. Let p = 34215554.9999956 - 34215580. Let h = p + v. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 5. Let l = 1 - 6. Calculate y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1797538cm?\nAnswer: 0.001797538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -2 + (3 + sqrt(99) + sqrt(99) + sqrt(99)*-1)**2 + ((-1 + sqrt(99))*-4)**2 + 1).\nAnswer: -468*sqrt(11) + 10230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 147238, 3, -2, -0.51 in increasing order.\nAnswer: -2, -3\/5, -0.51, 3, 147238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2109119 - -1164.\nAnswer: 2110283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -257b506 - 4?\nAnswer: -257b50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 3838 - 5823 + 2758.\nAnswer: -2*u - 6903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 - 172. Let f = -61 + o. Let m be -3 + f + (3 - 7). Put m, -3, 1 in decreasing order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622 - -625. Suppose z + 29 = 2*m - i, 4*i = -3*m + 59. Solve -2 = -5*d - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253381 is divided by 231.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327 - 326.9. Which is the closest to x? (a) -2 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + (2 + -1 - (-25 - (26 + -44)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**2 + 51*b + 115. Give z(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - 0) + -14 + 33 + -18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 179 - 1777 = 2*z, -3*s + 1472 = -4*z. Calculate the smallest common multiple of s and 3.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1215 + -2110. Let w = j - -907. Solve l - 7*l = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25111 + -25076. Let p = 1 - 1. What is the second biggest value in p, l, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -29, -61, -115, -197, -313, -469?\n\"Answer: -n**3 - 2*n**2 - 3*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228711529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -24.8. Which is the nearest to -1? (a) o (b) 0.07 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 7000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -y + 49. Let u(q) be the first derivative of -5*q**2 - 16*q + 4. Let w(l) = -7*l - 11. Let m(h) = 5*u(h) - 7*w(h). Determine m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 3) in base 14?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3993639 to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2. Let g(f) = -6*f**2. Let z(q) = 7*q**2. Suppose 17 + 8 = -5*c. Let m(l) = c*z(l) - 6*g(l). Give m(b(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w - 173. Is 15 a factor of f(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - 17. Let s = i - -21. Let n = -1 - s. Solve -3*d + n = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -205, -310, -417, -526?\n\"Answer: -t**2 - 100*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:12 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.375216 rounded to 2 dps?\nAnswer: -8.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/81*((-4)\/10)\/(22*11\/3630).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.182, 3, -0.2, -14\/3, -5, -0.9, -15?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3 + -7 + 4 + 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let w be 2\/h*(-8 + 7). Let z be w*3 + (-32)\/(-4). Solve 0 = -c - z*d + 24, 3*d - 12 = 2*c - 2*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.6, -7389, 26, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 + 47. Let b(y) = -242 + n - 11*y. Let j(a) = a. Calculate j(b(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/60 - 7*g**4\/8 - 2*g**3 + 183*g**2. Suppose 4*t = -8 - 36. List the prime factors of f(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27224*k - 5 - 11 - 27223*k. What is z(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**6\/720 - 5*j**4\/6 + 19*j. Let h(c) be the third derivative of f(c). Let u(g) = -2*g. Determine u(h(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.48 + -2.52. Let m(r) be the third derivative of r**5\/60 - r**4\/2 - 3*r**3\/2 - 2*r**2. Let o be m(13). Sort i, o, 2\/9.\nAnswer: i, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00858849679 to 7 decimal places.\nAnswer: -0.0085885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375024*y**3 + 57*y**2 - 375013*y**3 - 42*y**2.\nAnswer: 11*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -22 in descending order.\nAnswer: -2, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36110 and 7065?\nAnswer: 324990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f. Let x(z) = 2*z + 5. Let k be x(-2). Which is the biggest value? (a) k (b) f (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -18*c**2 + 1\/160*c**6 + 0*c**4 + 0 - 1\/80*c**5 + 0*c**3 + 0*c. Let i(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533036 divided by -22554?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.33 + 0.23. Let j = -4.1 - b. What is the closest to 1\/4 in j, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71352 is divided by 231.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025.9063 rounded to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**6 + 13*j**4*t - 327*j**4 + 7159*j**2*t - 2*j + 12*t wrt j.\nAnswer: 720*j**3 + 312*j*t - 7848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 12. Let d(m) = -m + 1. Determine 22*d(n) + 2*k(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 45. Give n(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -37. Let s be 2457\/t + 3\/4. Let o = s + 40. What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 803848 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from wqwzzm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-34)\/7 - (-25)\/((-5425)\/186). Calculate the highest common divisor of 4876 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6942 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g**6 + 0*g + 0*g**4 - 31\/3*g**3 + 43 + 0*g**5 - 12\/7*g**7 + 0*g**2. Find the third derivative of u(y) wrt y.\nAnswer: -1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 414156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in 5, 0.5, -362\/7?\nAnswer: -362\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**2 + 8*t + 161. Is g(-37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 + 2*v - 3. Let z be (-1)\/(15\/(-6) + 2). Let b be j(z). What is the second derivative of 6*w**2 + w - b*w**2 - 2*w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*l + 50, 4*l + 4*z - 27 - 73 = 0. Suppose 3*t + 2 = 4*i - 17, 5*t = -l. Let n be 1\/i + -5 + 1. Is -2 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Calculate the remainder when 0 - -4 - (2 + -3) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*p + 294*p + 292*p - 857*p + 103*p**3.\nAnswer: 103*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 4*p**2 - p + 18. Let h be u(5). Is 23 a factor of (-207)\/5*40\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-64)*(-24)\/(-2)*128\/(-192)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 7 = 563*s - 567*s, 20 = f + 5*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - a**2 - 1. Let o(d) = 14*d**3 + 10*d**2 - 6. Suppose 3*n - 5*t + 7 = 0, n - t - 4 = -5. Let v(s) = n*o(s) - 6*g(s). Factor v(m).\nAnswer: 2*m**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -26990486221\nAnswer: -26990486219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10960 is divided by 126?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 0.01 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {t: 1, n: 1, h: 1, s: 1, b: 1, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*h + 43, -27*m + 38*m - 89 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2120?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 45 = 0. Suppose -5*m = -61 - g. Suppose -2*f + m = d, -3*f - d + 26 = f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2847232, 6 in ascending order.\nAnswer: -2847232, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*p - 724*p + 3*p**2 + 8*p**2 - 7*p**2 + 2177*p - 723*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 6*o**2 - 5*o**2 + 0*o**2. Let t be m(3). What is the highest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 541\/4 + -136. Let l = -291 + 2331\/8. Which is the smallest value? (a) -2\/9 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*56\/280 + -3*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -457 + 831. Suppose -328 = -2*k + f. Let n = -168 + k. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/840 - a**6\/240 + a**4\/48 + a**3\/24 - 5*a**2. Determine f, given that s(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjkaotottassokoaa. What is prob of picking 2 j and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.206*1192.\nAnswer: -24085.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/4)\/(25\/(-100)). Solve d*k - 5*k + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t + 3*o - 2*o, -4*o = 2*t + 8. Suppose -t*g - p - 7 = 0, 5*g - 3*p - 10 = 2*p. Sort 1, 0, g in decreasing order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11840 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1285, 2529, 3773?\n\"Answer: 1244*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 + l. Let k be c(-2). Let s(b) = b**2 + 0*b + b - 11*b**3 - 3*b**k + 0*b. Suppose 2*a + 3 = -3*j, 2*j - a + 4 = -3*a. What is s(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107335?\nAnswer: 5, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 3. Let j(o) = 2*o**2 + 19*o - 1. Let l(v) = v**2 + 8*v - 1. Let k(x) = 3*j(x) - 7*l(x). Give -3*a(i) + 2*k(i).\nAnswer: -2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 72278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3 + 41*l**2 + 3*l + 37*l**2 + 40*l**2 - 117*l**2. Let c be 2 + (-1 - 0) + -4. What is j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Suppose -g*f - 1544 = -43759. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181115 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*s + 17 + 19*s**2 - 3 - 17*s**2 wrt s?\nAnswer: 4*s - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 96 = 27*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 29*i**2 + 141*i - 149. Calculate the remainder when 9437 is divided by y(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20962 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**5\/20 + 3*y**4\/2 + 27*y**3\/2 + 14*y - 2. Factor j(g).\nAnswer: g*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(sqrt(264)\/(sqrt(512) - (sqrt(512)*1 - sqrt(512))))\/(sqrt(15)\/sqrt(80)*-4)*-4)**2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 47. Suppose 0 = -u*f - 3*b + 206, -4*b + 236 + 22 = 5*f. What is the remainder when 346 is divided by f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60976256 divided by 983488\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202\/9 + 27. What is the common denominator of 21\/10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = -2*h - 3*f, -f = 4. Suppose -h*a + 3*k + 2051 = 0, -10*k + 9 = -7*k. List the prime factors of a.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - 2434\/(-18). Suppose t - i = -2*t. Suppose 5*d = 3*g - 20, -4*g + 14 = -5*d - 21. Calculate the highest common divisor of t and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.27 or 1\/2593?\nAnswer: 1\/2593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 = 161*k - 1431 + 242 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.0412 and -2.3.\nAnswer: -69.09476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 1\/5*a**5 + 0*a**4 - 5\/2*a**3 + 247\/2*a**2 + 16 - 2*a. Differentiate p(q) wrt q.\nAnswer: 12*q**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/372821 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -92. Calculate the remainder when 31 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -18. Let b(z) = -361*z + 2 - 10 - 3 + 350*z. Let u(q) = -5*q - 8. Let h(t) = 5*t + 7. Let j(a) = -3*h(a) - 2*u(a). Give i*j(f) - 3*b(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20174*z - 20176*z = 5*f - 2 + 13, -4*z - 30 = 2*f for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14301*z**2 - 1848*z**3 + 7377*z**3 + 14293*z**2 - 28594*z**2.\nAnswer: 5529*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 18*g = -3*p, -3 = 2*g - 5*p. Suppose -2*r - f = -5*r + g, 2*f - 14 = -2*r. Solve -4*j + 0*j = -5*x, 5*j + r*x = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 968, 1918, 2866, 3812, 4756, 5698?\n\"Answer: -j**2 + 953*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(sqrt(110) + (sqrt(110) + sqrt(110)*-2 - sqrt(110))) - (5*sqrt(110)*1 - sqrt(110)))\/((sqrt(250)\/(sqrt(15)\/sqrt(3)))\/sqrt(5)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 10. Let v(c) = -1. Let u(i) = -i + 13. Let k(a) = -5*u(a) - 35*v(a). Let w be k(6). What is b(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 30 = 4*y, -59 = 5*m + 2*y. Let x = 7 + m. Let l(f) = -f - 4. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -556, -1626, -3692, -7252, -12804, -20846, -31876, -46392?\n\"Answer: -83*n**3 - 489*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 1419*f**2 - 2817*f + 4239.\nAnswer: -3*(f - 1)*(f + 3)*(f + 471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.55. What is the closest to -0.1 in 1, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.085 and -0.4?\nAnswer: -4.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -32*d - 390. What is a(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -883254.72 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/(-49)*(14\/(-10))\/((-98)\/28).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.51 + 269475.097752\nAnswer: 269472.587752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1264570496917 + -3\nAnswer: 1264570496914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188.392 + -187. Let m = 0.82 - q. Let v = m + 0.77. Round v to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-12)\/4)*(-1)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*y**4 - 450571*y**3 + 159*y - 443704 wrt y.\nAnswer: -6228*y**2 - 2703426*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -40. Let n be ((-10)\/k)\/(((-30)\/(-84))\/5). Let v = -39 + n. Calculate the highest common factor of 279 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103023 + -1100?\nAnswer: -110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462258 - 0.01?\nAnswer: 462257.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16647 and 49073208.\nAnswer: 1521269448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -70, -1, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, 2\/13, -1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415310174 and 16370.\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36424, 72769, 108880, 144637, 179920?\nAnswer: 214609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 + 19 = 2*i, -3*i + 2*w = -76. Let s = 36 - i. Is (1 + 1)*5453\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595842923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 3. Let l be z(-3). Suppose -4*h - 2*i + 144 = 0, 0 = 4*i + 2 - 18. Let a = h - 36. Is a greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 - 0.8. Let p = g - 5.26. Let u = p - -0.2599924. What is u rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**(4\/9))**(-37)\/((k\/(k**0\/k))**19\/(k**(-2\/3))**(-2\/23)) assuming k is positive.\nAnswer: k**(-63878\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 4*q**2 + 4. Let y be (-55)\/(-15) + 3\/9. Let p(i) = -3*i**3 + 3*i**2 - 3. Give y*p(c) + 3*v(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*m = 9, -f - 2*f + 14 = m. Let l(a) be the second derivative of 1\/20*a**5 - 1 + 9*a + 1\/2*a**3 + 3\/2*a**2 - 1\/4*a**4. What is l(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(32)\/(-1*sqrt(4))).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -357979 (base 10) in base 2?\nAnswer: -1010111011001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142)\/(-1136)*72\/(-2).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 111968622?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from wssppspwsswppppws.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 2*x**3 + 0*x**3)*(-3 + 1 + 3 + (0 - 1 + 3)*(-2 + 2 - 1)*(20 + 21 - 49)).\nAnswer: 51*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-510)\/256 - -2)*-2. Let t = o + 263\/448. Let p be (76\/1140)\/((-2)\/24). Which is the third smallest value? (a) p (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/42*(-4)\/(-52)*637.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49273 - 49272.6. Let m(y) = y**3 - 2*y. Let z be m(-2). What is the fourth smallest value in -7, -3\/5, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = 4*s, -2*f = -0*f + 3*s - 13. Let r(x) = 3*x**2 + 5*x + 5 - 4 - 2*x**f. Let b = -6 + 1. Give r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + 4387111?\nAnswer: 4387154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let b(i) = i**2 + 15*i + 1. Let o be b(-12). Let n = -26 - o. Let f(t) = -3*t**2 - 6*t**2 + 17*t**2 - n*t**2. Give g(f(c)).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1234 - 1234.07. Which is the second smallest value? (a) -3 (b) x (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1715\/3 - -2 - (-20)\/(-30). List the prime factors of (v\/12)\/((-3)\/(-12)).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27.3488 and -0.5.\nAnswer: 26.8488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 67*c - 144. Give b(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270268349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18402*w**2 - 18397*w**2 - 26*w + 76*w.\nAnswer: 5*w*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = 152. Let y = c + 62. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 11*a**2 - 17*a + 28. Determine p(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 22 + 12*n**2 - 3 - 13*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*1*3\/63*98?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 + 543 = 2*i - 4*p, 2*i + 4*p - 16 = 0. Calculate the lowest common multiple of 560 and i.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/10 + 63*a**5\/20 + 61*a**4\/2 + 102*a**3 + 156*a**2 - 13*a - 45. What is o in p(o) = 0?\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6*s - 24. Let l be (112 + -2)*40000\/(5 - s). What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 - 161. What is the remainder when 404 is divided by u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*6.86\nAnswer: 61.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 153\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-4))\/((-151657)\/(-22)). Let v = -1068524\/289527 + z. Calculate the common denominator of -22\/21 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 6. Let z be 1*(1 - 8) - -2. Let p be t(z). Solve -p*k = -3*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5) - sqrt(80)*3).\nAnswer: -sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631089 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 139. Suppose 0 = m*g - 8*g - 651. List the prime factors of g.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*n - 30 = 0, 4*f - 120 = -n + 6*n. What is the remainder when 111 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*x**2 + n**2*x - 2*n*x - 7*n + 62*x**4 wrt x?\nAnswer: 4*n**2 + 744*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:42 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 17*d = 2*m - 5, -2*m = 5*d - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1555*g - 2922 wrt g?\nAnswer: -1555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -5 (c) 2003 (d) 1 (e) -16.5 (f) -2\/5 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8910 + 9863. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 - -57. Suppose -224*n = -b*n - 504. Calculate the remainder when 391 is divided by n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(384)\/sqrt(4) + sqrt(6) + (sqrt(150) - (sqrt(150) + sqrt(150)*1 - sqrt(150)) - sqrt(150)))\/((sqrt(2700)*2)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13219 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3247331?\nAnswer: 3247331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -6 + 4)*(-3)\/2. Let z be ((-1)\/6)\/((-2)\/16). What is the third smallest value in z, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -224*x**3 - x**2 - 7*x - 5. Let t = -390 + 389. Let b be h(t). What is the greatest common factor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = 40*u - 8. Let h be u\/6 - (389\/(-6) - 1). What is the greatest common divisor of h and 1188?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*j - 162, -3*u = -2*j + 3*j - 123. Suppose d - 2*d + u = 0. Calculate the remainder when d is divided by ((-26)\/(-4) - 1)*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -20. Let t = -4.5 + p. Which is the third biggest value? (a) -5 (b) t (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 1 - 5 + 5 - 1411*g - 10 - 1432*g + 2831*g + (-1 + 1 - 2*g)*(1 + 1 - 4) to t + j*g and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**3 + 7. Let c(x) = x**3 + 18*x**2 - 36*x - 26. Let t(a) = -a**3 - 8*a**2 + 16*a + 12. Let s(m) = 4*c(m) + 9*t(m). Calculate 4*l(q) - 7*s(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71.0128 - -71. Round a to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -20731.65?\nAnswer: -20735.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1720*x**3 - 28*x**2 - 13 wrt x?\nAnswer: -10320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 f, and 1 w when four letters picked without replacement from {x: 1, w: 11, f: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:33 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*((-36)\/4)\/(-18).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:19 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (17 + (-13 + 7 - 5) - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2646 + -1398. What is the highest common factor of 78 and d?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -560?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 156*l + 73*l + 84*l + 2 - 90.\nAnswer: l - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/40 + 143*q**5\/80 - 63*q**4\/4 + 117*q**3\/8 - 3*q**2 - 175. Let n(k) = 0. What is k?\nAnswer: -39, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 - 15*j - 79. Let b be ((-28)\/6)\/((-74)\/(-111)). What are the prime factors of p(b)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*q - 253 = -262, -5*q = -5*j + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a + 5. Let r(t) = 106*t + 30. Let q(g) = -3*r(g) + 21*s(g). Let w(j) = j - 5. Calculate -6*q(y) - 17*w(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28543, -28535, -28517, -28483, -28427?\nAnswer: -28343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 2*z. Suppose -3 = -2*b + 7. Suppose -6*a = -a + b. Let w(k) = k**2 + k. Determine a*f(s) - 2*w(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 616014?\nAnswer: 616014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 2\/2 + 12. Suppose 19*z - b*z = 414. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 74*o + 1106. Let q be m(-5). Calculate the greatest common factor of 912 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -951584000 to the nearest one million.\nAnswer: -952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221534 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2602 in -3, 1\/4, 0.4, -0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 313541*y - 313541*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12 + 382*i - 3504*i + 32.\nAnswer: -3122*i + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49855 is divided by 69?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.8306 + -0.2077958.\nAnswer: -53.0383958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 = -4*l, 4*l - 8*l - 21 = 5*k. What is the remainder when -4 + l - (-41 + 0 + 3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000341864 to six decimal places.\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 - 7*v**2 - 94*v - 33. Give r(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let a(y) = -21*y - 5*y + y. What is q(a(j))?\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:27 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 4*u. Let d be y(3). Let r be ((-1)\/(-3))\/((-1)\/d). Let q = -10680.9 - -10682. Which is the nearest to -0.1? (a) 5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458664937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(90\/(-8)))\/((-76)\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(363) + 2 + sqrt(363)*-4))**2 - ((-5 + sqrt(3)*-1 + sqrt(3))**2 + -2*(sqrt(48))**2)*-2.\nAnswer: -3300*sqrt(3) + 81633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -47. Let c(s) = -118606*s + 30. Let b be c(r). Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 1}. Give prob of sequence qy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19830984469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7192.076 kilograms?\nAnswer: 7192076000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 13*x + 1. Let s be m(13). Let k be 15\/(-3) + 2 + (5 - s). Solve 3*g - 4 + k = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*k + 6798 - 1359 = 0. Calculate the highest common factor of k and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107283? (a) 3\/4 (b) 0.02 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193703.16 + -193705.15999984. Let s = 0.6 - -1.4. Let w = s + x. Round w to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j\/(j\/(j**8*j)))**36\/((j*j**6*j\/(j**(-2\/7)*j*j))\/(j*((j\/(j*j\/(j*j\/j**0*j*j)*j)*j)\/j)\/j*j**2\/j)) assuming j is positive.\nAnswer: j**(2329\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 8) + (-576 - -589)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -20, 16*m - 14*m + 2 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((1 + -6)\/(-5)). Factor 1\/4*b**c + 1\/2*b + 0.\nAnswer: b*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 21 + 1\/2*x**2 + 0*x + 1\/15*x**5 - 1\/18*x**6 + 2\/3*x**4 + 8\/9*x**3. Let o(r) be the second derivative of t(r). Factor o(m).\nAnswer: -4*(m - 2)*(m + 1)*(5*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 23 = -3*z. Let l(f) = 2*f - 4. Let s be l(z). Suppose -4*p + b + s = -55, 3*p - 59 = -5*b. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:31 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -90 - (41 - 58 - (-14 - (2 + -1)))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 22 = 4*b. Suppose -3*d = b*t + 1 - 10, 0 = 5*d + 4*t - 17. Let o = -42 + 128\/3. Are o and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2005 + -1943.24. Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5\/9 + 74*q**4\/9 + 326*q**3\/9 + 544*q**2\/9 + 104*q\/3 = 0.\nAnswer: -13, -2, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -109694 times -0.2\nAnswer: 21938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Suppose -553*a = -546*a + 42. Let t(x) = x**3 + 4*x**2 - 6*x - 6. Let k be t(-5). Let p(m) = -6*m - 2*m + 3 - 8. Give a*s(h) + k*p(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -3\/4 (c) 51615 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i + 2. Let w be 7\/(-4) + 2\/(-8). Let x be (5\/2 + w)*0. Solve v - 2*t + 10 = -x*t, 10 = v + i*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 66. What is the remainder when 70 is divided by (-36)\/1*(-14)\/g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = n + 2*n - 18, 4*q - 40 = 4*n. Which is the closest to -41? (a) -5 (b) q (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.8 - 25. Let p = -2.3 - z. Let t = -67 + 67. What is the closest to 1 in p, t, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 4. Let o be (2091\/1530 - (-9)\/(-6))*12\/2. Which is the third smallest value? (a) o (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77894282, 155788565, 233682848?\n\"Answer: 77894283*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v + 10*v - 60 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 38. Let l be c(13). Let w = 1 - 0. Suppose 4*o - 6 = -3*g, 0 = o + 5*g + 6 + w. Solve 2*m = d - 6, o*d - 5 - l = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1043.\nAnswer: 1043.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1872)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 4 (b) -4\/5 (c) -0.3 (d) 0.5 (e) 6.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -170 (base 9) to base 12\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14122 + -6064. List the prime factors of j.\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s - s)*(-4*s**3 - 3*s**3 + 5*s**3) + 22*s**3 + s**4 - 22*s**3.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-108)\/24 + (9 - 0). Solve 5*f - 10 = 0, y = -151*t + 156*t - 5*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-405)\/4131?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/12, 15, 14, 2, 22.8, -2\/11, -5?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 6*v - 10*v + 2*v + 27 - v.\nAnswer: 2*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 24\/10*(-3650)\/(-292)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/19 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dede when four letters picked without replacement from {e: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 9 = -2*b. Suppose 0 = -0*a - 5*a, -2*n = a + 20. Calculate the smallest common multiple of 4 + n + 3 - -10 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**6\/120 + b**5\/15 + b**4\/24 + 3*b**2\/2 - 2*b. Let w(k) be the first derivative of h(k). What is w(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 + -12)*121\/44)\/(2\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 1.132?\nAnswer: -0.07924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468584304.\nAnswer: 2, 3, 983, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 190866333, 381732664, 572598993, 763465320, 954331645, 1145197968, 1336064289?\n\"Answer: -p**2 + 190866334*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -82*x + 73 + 80. Let -8\/5*q + 2\/5*q**x + 2\/5*q**3 - 8\/5*q**2 + 0 = 0. What is q?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1302 by 21.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -13*k**2\/2 + 2*k - 10700. Let a(b) = -189*b**2. What is a(q(w))?\nAnswer: -31941*w**2 + 9828*w - 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w. Let a be b(1). Suppose 4*p - a = 3. Let y(f) = -2*f**2 - 75*f - 29. Let j be y(-37). Solve p*k + j = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0835788 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6661835?\nAnswer: 5, 23, 53, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326937*r**3*x**2 + 5*r*x**2 - 78*r - 2*x + 3 wrt r?\nAnswer: -1961622*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x - 46665 = -99977. What is the highest common factor of 128 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16*n = 2*n. Let i(g) be the second derivative of g + 0 + 1\/6*g**3 + n*g**2. Calculate i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 9*t + 7. Let i be j(11). Let x = i - 0. What is the greatest common factor of x and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-6)*(3 + 0). Let o be (0 + 1)*(t - -7). Suppose 0 = 5*b - o*v - 270, -3*b - v + 2*v + 162 = 0. What is the greatest common factor of 36 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*367.253\nAnswer: -734.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let d = 999 - 998. Which is the nearest to h? (a) 0.04 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1980484993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-60)*(-15)\/(-210). Let t(u) be the third derivative of -h*u**6 - 1\/15*u**5 - 1\/12*u**4 + 0 + 0*u - u**2 + 0*u**3. Factor t(k).\nAnswer: -2*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13909*h**2 + 6144*h**2 + 7764*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46113 + 74013. What is z rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {z: 1, e: 1, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 2111033?\nAnswer: 2111032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32695 and 1703.\nAnswer: 4283045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110294 and 20180?\nAnswer: 90114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -1\/9 (c) -4 (d) 11\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/380067 and 22\/755?\nAnswer: 1900335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*z - 6, 4*u + 2*z = -16 + 42 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212112 - -101?\nAnswer: 10212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 95, 134, 169, 194, 203, 190, 149?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/39562806?\nAnswer: -7\/39562806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 1864, 2857?\nAnswer: 3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - u - 2)*(25 - 6*u - 12 - 10)*(0 - 4 + 0).\nAnswer: -24*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9956 and 47\/1834.\nAnswer: 69692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-14)\/49. Let d = 6 - x. Find the third derivative of d*b**2 - 3*b**5 - 14*b**2 - 9*b**5 wrt b.\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 8. Let o be m(-6). Let j be (1 + 0)\/((-2)\/o). Let k be (5\/(-5))\/((-1)\/j). Calculate the highest common divisor of k and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1631 - -0.3092. Round o to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 41*v**2 - 8*v + 4*v + 17*v**2. Let j(y) = -5*y. What is j(n(m))?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 5. Suppose b = 4*b - 24. What are the prime factors of t(b)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1288\/49 + 2\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y**2. Let q(i) = 7*i. Determine q(t(d)).\nAnswer: 210*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbbaaaaabaabbab. Give prob of picking 2 b.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*y + 19 = 677*y - 1356*y + 3*m, 0 = -y - 3*m + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269904 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.82 + -0.18. Let d be 2937\/429 + (-7)\/1. What is the closest to 0 in 1\/3, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 497?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 34*j + 4*j**2 - j**2 + 10 - 2*j**2. Let c be z(13). Let b = c - -724. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800 + 814 - (-61 - (-2 - -1))) + 5.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2\/2 - 8*z + 117. Give h(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339195\/120 + 33\/88 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 11049512.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67534?\nAnswer: 2, 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -1249.777?\nAnswer: -17496.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 + 23*d - 49*d + 28*d as s + q*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175968\/7 or -25138?\nAnswer: -175968\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 952, 1451, 1950, 2449, 2948?\nAnswer: 3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -62*a**3 - 19*a**2 - 95*a + 14. Let n(v) = -10*v**3 - 3*v**2 - 16*v + 2. What is 2*m(s) - 13*n(s)?\nAnswer: 6*s**3 + s**2 + 18*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {j: 3, m: 2, g: 4, u: 2, z: 2, e: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let w(d) = -6*d - 10. Let a(f) = 4*f + 32. Let x be a(-6). Calculate x*y(l) + w(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 11*m**3 + 3 + 39*m**2 + 25*m**3 - 79*m**2 + 39*m**2 - 3*m**4 to the form s*m**2 + l + u*m + p*m**3 + n*m**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-287)\/(-35) - (-2)\/30*-3. Solve -s*j + 7 = 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 550*k - 551*k + 10*s, 0 = 4*k + 3*s - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0 + 0*a - 8\/3*a**3 - 16*a**2 + 1\/20*a**5 + 0*a**4. Find the first derivative of p(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236772*j**3 - 576522*j**3 - 29229*j**3.\nAnswer: -842523*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -299826.32 - -0.0421\nAnswer: -299826.2779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-54)*2*6. Put 76, q, -5 in descending order.\nAnswer: 76, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from {m: 2, r: 5, w: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 2. Suppose u - 4 = -0. Suppose 5*q + 25 = 0, 4*q + 64 = u*o - 88. What is the remainder when o is divided by k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*v + 31, 2*v = q - 0*v - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c + 3. Let x be y(0). What is the second derivative of 0*m**3 + m**3 + 2*m**x + 4*m**3 + 2*m + 1 wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d. Let v(y) = -4*y. Let p be 84\/49*(-1 + -6). Let j(n) = p*v(n) - 5*h(n). Let o(z) = -z. Give j(o(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.5298 litres in millilitres?\nAnswer: 381529.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -1\/17, 1, 0.4, -3\/5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45985232*o**3*u**2 - 1590612*o**2 + 2*o*u**2 wrt o?\nAnswer: -275911392*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -283597 or -283599?\nAnswer: -283599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3 - 2\/(-2). Suppose o = -t - 9*t + 940. Suppose -t = -4*h + 2. Calculate the remainder when 70 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 + 8. Let o(t) = 1. Suppose -244*p - 687 - 1261 + 484 = 0. Determine p*o(v) + l(v).\nAnswer: -5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((16640\/(-104))\/80)\/((-62)\/(2*-1))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5137 (base 8) to base 16.\nAnswer: a5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y - 305 + 337. Solve 2 = y*p + 3*h, -4*p = 5*h - h - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/128 (b) 67 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -953352, -953418, -953484, -953550, -953616?\nAnswer: -953682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3543944 and 3543938 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 9. Solve -z - c = 2, 0 = -2*z - t*c - 0*c - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + q = 61 - 182, -5*j = -4*q + 196. Let p be ((-6)\/(-10))\/(76\/j - -2). Suppose z = 3*n + 99, -4*n + p*n - 238 = -2*z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-36)\/(-14) - (4 - 80\/(-56))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.7 - -72.2. Let x(q) = q + 4. Let f be x(-2). Suppose -4*k - f*c + 10 = 0, -2*c + 13 = 5*k - 0*c. Put k, -0.04, v in increasing order.\nAnswer: -0.04, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 7. What is w(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56428 minus -0.1?\nAnswer: 56428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -39 + 9. Let a(w) = w - 2 + 1 + d. Let t be -2*(4 - 1\/1). What is a(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37 and 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556538804 to the nearest integer?\nAnswer: 23591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*s + 97*s - 173*s + 192 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - (0 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-3) + 87\/(-36) and (-2)\/(-7) + 1 + (-558)\/336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101101000011 + -101?\nAnswer: -111101101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 + -2.328272657591\nAnswer: -0.428272657591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.13156 months?\nAnswer: 0.0117763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 2*f - f**2 - 2 + 5. Let o = -18369 + 18372. Let p(r) = -3*r**2 + 7*r + 7. Give o*p(b) - 7*v(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3250821 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, j: 3, u: 7}. What is prob of picking 1 j and 2 g?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 minus -0.010332268235?\nAnswer: -0.043667731765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 70 = 70. Sort 7, -23, m in decreasing order.\nAnswer: 7, m, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.021.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(8\/2))\/((-3)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -9*g**4\/4 - 4*g**3\/3 - 3*g**2\/2 + 9*g + 61. Find the second derivative of v(o) wrt o.\nAnswer: -54*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, x: 10, s: 1}. What is prob of picking 2 x?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -29. Suppose w*i = i. Sort i, -1, -2 in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1327 + 2168. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 32384?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 14*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1560 and 4407.\nAnswer: 176280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 15035523?\nAnswer: -15035516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c4 (base 15) in base 13?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504 + 244*s**4 - 75*s**4 - 828*s + 828*s wrt s.\nAnswer: 676*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - 137. Suppose -j*y = 8*y - 30200. Suppose y - 8900 = -7*s. What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-265)\/(-2))\/((-67)\/(-1742)). What is the highest common divisor of t and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1858.584 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 5}. What is prob of picking 4 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-10)*1 + 39530846\/865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 23*w**2 + 9*w + 15. Let c be m(-4). Let a = c - 91. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 264 - 72 = 0. Let j = 167\/4 - p. Is j >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*l = -33, 0 = 4*f + 8*l - 4*l - 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -289, -815, -1779, -3319, -5573?\n\"Answer: -23*t**3 - 12*t**2 - 29*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 0.4, -22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 19*b - 20. Suppose 2*x - 2*m - 3*m - 65 = 0, -5*m - 25 = 0. Let a be q(x). Solve 2*y - o - 25 = -6*o, 2*o - 6 = a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113450 divided by -113450\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 278801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -37235410\/7 less than or equal to -5319343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 - 2836281*o**3 + 3*o + 7260115 wrt o.\nAnswer: 12*o**2 - 17017686*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -578*u. Let k(y) = -86*y**2. Calculate k(t(r)).\nAnswer: -28731224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Suppose i = 5*r - 8. Factor -1\/5*u**3 + 1\/5*u + 1\/5*u**r - 1\/5*u**4 + 0.\nAnswer: -u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 226 = -36 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + 4. Let r be -3*(-3)\/135*9. Sort r, g, 1\/6 in descending order.\nAnswer: r, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6)\/((-1)\/((-2)\/(-2))). Is 2 - -2 - u - -1069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295823968.\nAnswer: 2, 11, 331, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -9*g + 68. Suppose 4*q - 183 + g = -3*o, q + 224 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-546)\/(-10) + (-18)\/(-45). Let n = c + -15. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(4*2\/4). Suppose 5*d = -4*t + 80, -j*t + 5*d = 3*t - 100. What is the greatest common factor of 40 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 = -4*b, -5*p = -3*b - 2*p - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1333722639*z + 363093894?\nAnswer: 1333722639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, p: 1, m: 3}. Give prob of picking 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(26)\/sqrt(2) + 0).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*a - 37 = 0, 4*i + 6*a = 10*a + 8. What is the remainder when 7159 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 432420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/40*3\/(12\/16). What is the closest to -0.1 in k, 3, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = -4*y - 81, r = 1. Let c(f) = 2*f**2 + 40*f. Let l be c(y). Are -0.036 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 12, o: 3}. Give prob of sequence ov.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92044, -92127, -92218, -92317, -92424, -92539, -92662?\nAnswer: -92793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2917 and 0.13.\nAnswer: -2916.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 85*d - 208 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 35*w + 1\/2*w**2 + 1\/3*w**3 + 1\/12*w**4 + 0. Let y(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1 - -2) + -4. What are the prime factors of 2*((-6)\/(-30))\/(x\/2395)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*v + 749 = 0, -5*j - 21*v = -18*v - 1247. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4268*t + 10 - 3 - 7 - 115*t)*(-5 + 2 + 2).\nAnswer: 4383*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (580\/15 - 39)*18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100810504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14 and -4 + 4 - 50\/(-48).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Let g(z) = z**2 + 2*z + 4. Let y be g(-4). Is 5 a factor of y\/4 - (1 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10930, 10908, 11048, 11494, 12390, 13880?\n\"Answer: 24*w**3 - 63*w**2 - w + 10970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12689117*d*u**3 + 2*u**3 + 137*u**2 + 4040*u wrt d.\nAnswer: 12689117*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -2 - (-4 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948069.\nAnswer: 3, 105341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.535 + -14.615. What is the nearest to -1 in a, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -29.9. What is the nearest to 2 in 0.5, z, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*f - 797 + 2253 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 25, 37, 53, 73, 97?\n\"Answer: 2*p**2 + 2*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 + 2*b + 1. Let s be 2\/6 - 56\/42. Let q be d(s). Is (9 + -8)\/(q\/72) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1100011010110100111111?\nAnswer: -1100011010110101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:00 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 5. Let c be m(0). Suppose 15*l = 18*l - 6. Suppose -15 = -5*v + q, 5*v + 3*q = l*v - 9. Sort v, 4, c in increasing order.\nAnswer: c, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216727722?\nAnswer: 2, 11, 1373, 73387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, t: 4, r: 6}. What is prob of sequence ir?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2424*x = -54007 - 22511 - 22866 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296895 and 36?\nAnswer: 3562740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -218 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:54 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 66*r - 633. What is z(-7)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*a = -d - 2, -5*a = -2*d - 6. Which is bigger: d or 5\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(35)\/(sqrt(60)\/(sqrt(12)*3)) + sqrt(7) + sqrt(7) + sqrt(77)\/(sqrt(11)*1) + -5).\nAnswer: -4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-24)\/(-128))\/(6\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 37*h**6\/30 - h**4\/12 - 25*h**3\/6 + 66*h. What is the second derivative of p(j) wrt j?\nAnswer: 444*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/10)*u)\/u)\/u*u**(1\/11)*(u\/u**0)**(-2\/29))\/((u**(-1\/4))**(-45)\/(u**(2\/17)*u*u**(4\/3))) assuming u is positive.\nAnswer: u**(-3148727\/325380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 43 + 61 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 21*f - 70*f + 22*f + 26*f.\nAnswer: f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277 - -113. Calculate the common denominator of (10\/(-4))\/(14\/12) and 1\/(20\/c) + 4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3\/11 + 1566*p**2\/11 + 3108*p\/11.\nAnswer: 6*p*(p + 2)*(p + 259)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y - 2. Let u(b) = 55 - 154 + 48 + 52. Calculate -c(n) - 2*u(n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1901, 7596, 17087, 30374, 47457, 68336?\n\"Answer: 1898*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + h + 1. Let q be x(-4). Suppose -2*i = 3*i - q. Is (-762)\/(-4)*6\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1720*b**2 + 6*b + 6. List the prime factors of j(-1).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1081*j - 2748 with respect to j.\nAnswer: 1081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2446950 divided by -81565.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 2073288?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) + (sqrt(99) - (sqrt(99)*3 + sqrt(99) + sqrt(99))*-5))*3)\/((sqrt(72)*2*-4)\/((sqrt(64)*1)\/sqrt(8))).\nAnswer: 81*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 23*r + 130 = 54*r, 0 = -32*p - 5*r + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 47*p + 46. Let x(r) be the second derivative of 15*r**3\/2 - 45*r**2\/2 + r. Let c(u) = 5*v(u) + 4*x(u). Find m, given that c(m) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 410427*q**3 + 84472 wrt q.\nAnswer: 1231281*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108976841?\nAnswer: 31, 89, 764399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 1596*k + 1. Let j(r) = -50*r**2. Calculate l(j(x)).\nAnswer: -5000*x**4 + 79800*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -47, -99, -181, -299, -459?\n\"Answer: -g**3 - 6*g**2 - 3*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(4095\/(-104)))\/(6\/(-180))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 7:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.25.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.45 + -9.95. Which is the closest to 0? (a) -2 (b) l (c) 2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 30. Let z be (-20)\/(-8)*j*(-4)\/(-15). Solve -20 = 5*m - y, y = -3*m + z*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -8826, -113 in descending order.\nAnswer: -8, -113, -8826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 3*c + 39. Suppose 4 = -3*o + c. Suppose 6*x - o*r = 2*x + 217, -202 = -4*x - 2*r. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -16. Suppose 3*z - 18 = -3, -12 = -2*t + 4*z. Suppose -13 + 45 = t*a. Solve 8 = -2*h, 0 = -a*q + 6*h - h + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(256\/(-42))*(6\/(-108))\/((-28)\/168).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37 and -483596309167?\nAnswer: 483596309204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 956*m - 60990.\nAnswer: 2*(m - 535)*(m + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 4, m: 1, q: 1, h: 1}. Give prob of sequence vh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -18. Let c be (-16)\/z - 4\/12. Solve -p - 13 = -0*v + 4*v, c*p - 4*v - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/46830 and -107\/42.\nAnswer: 46830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -1187, -1716, -2245?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23038.7793 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11237 <= -11226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009542028 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38376047*t**3 + 4889*t**2 + 7767*t - 2 wrt t.\nAnswer: -230256282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.3, 0.5, 0, 1\/7, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4 - (13774\/(-852) + 17 + 4 + -2)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 82*g = 154 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31272, 62536, 93800, 125064, 156328?\nAnswer: 187592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u**2 + 2*u + 7. Is 11 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmdmcmmrspsms. What is prob of sequence smm?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10197 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + l + l)*((3 + 1 - 6)*(-2 + 2 + 1) + 3 - 2 - 3 + 9 + 16 - 7)*(0*l - 1 + 2*l**2 + 0*l) as r*l + m*l**2 + s + c*l**3 and give r.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -88, 3 in ascending order.\nAnswer: -88, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + 2 + (-37 - (-29 + 16)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148388220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 = -6*n. Suppose -g = g - m, n*m = 3*g + 2. Let h = g - 0. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 2 - (-55 - -28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:39 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29033818 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgogggioiglxxogxig. Give prob of sequence gtg.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 258 = -4*p - p, -4*p = -5*a + 343. Calculate the remainder when a is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 12643400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-7)*(r\/r**(-11\/5))\/r*r)\/((r*r\/(r**(-16)*r))\/((r\/r**(-1\/6))\/r)) assuming r is positive.\nAnswer: r**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(144)\/sqrt(2) + sqrt(2) - sqrt(2))**2 - (sqrt(242) - (sqrt(242) + 4))**2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p = 925135 + 2059169. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 77 = -4*u, -7*u + 75 = 3*y - 10*u. Suppose 0 = y*d - 33*d + 36070. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2720873 and 6008.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-94)\/(-4))\/(3\/30). Suppose 2*x - z = -5*p, 4*p + 3*x = 28 + 167. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyoyoffomfe. What is prob of sequence fy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 747, 1646, 2917?\nAnswer: 4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 10*m**2. Suppose 26*q - 4*q - 44 = 0. Let r(w) = -4*w + 19587*w**q - 19586*w**2 + 4*w + w**3. What is f(i) + 4*r(i)?\nAnswer: -i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 1, u: 2}. Give prob of picking 1 u, 1 f, and 1 y.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*b**3*s**3 - 5*b**3*s**2 - 13*b**3 + 2*b**2*s**3 - 6*b*s**3 wrt s.\nAnswer: 378*b**3 + 12*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 757*a**8\/28 + 47*a**4\/3 + 196*a. What is the third derivative of d(f) wrt f?\nAnswer: 181680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 938*s**3 + s**2 + s - 1. Let m be a(1). Suppose -6*g + 417 = -m. List the prime factors of g.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 788 + -683. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - (-2)\/(-2 - -1)*40\/(-16).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-71.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r - 1)*(8 - 1 - 2) + 3*r - r + r + 19*r + 31*r - 20*r - 4*r + 5*r + 0*r + (2 - 1 + 1)*(r + 3*r - 2*r).\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7867 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -403. Let p be (-3106)\/(-6) - 4\/6. Let y = b + p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = 4*p, 0 = -4*p + 2*i. Suppose p = 10*l - 30 - 50. Calculate the remainder when 12 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 1351.\nAnswer: 6755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 18*z**2 + 47*z - 48. What is the hundreds digit of s(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6653*g**3 + 4*g**2 + 7*g + 4079. Let n(t) = 4434*t**3 - 3*t**2 - 5*t - 2720. Let u(s) = -5*j(s) - 7*n(s). Find the third derivative of u(c) wrt c.\nAnswer: 13362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94507755 divided by -1.\nAnswer: 94507755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42\/173 + -5\/692. Let g = -3.5 - -4. Let p = -1 - -5. What is the third smallest value in g, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810695 = -13*m + 8174948. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r + 34. Suppose -3*j + 4*v + 12 = 0, -60*j - 4 = -61*j - 4*v. What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/147424 and -23\/32249.\nAnswer: 1031968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/7 - 12*j**3\/7 + 28*j**2 - 180*j\/7.\nAnswer: -4*j*(j - 5)*(j - 1)*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -20, 1, 50, 112, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-772)\/579)\/((-1)\/(5\/170)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 16*m + 5. Let d be p(-8). Factor -4\/3*r**2 - 2\/3*r**d - 2\/3*r + 4\/3*r**3 + 2\/3 + 2\/3*r**4.\nAnswer: -2*(r - 1)**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325 (base 7) in base 15?\nAnswer: 54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**2 - 101*j - 9. Let i(y) = 7*y**2. Calculate g(k) + 2*i(k).\nAnswer: k**2 - 101*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -830, -818, -816, -830, -866, -930, -1028?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -150b (base 12) to base 7\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 292*m**3 + 96*m**3 + 91*m**3 - 2*m**2 + 77*m**3.\nAnswer: -28*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446*y**5 - 5*y - 12 wrt y?\nAnswer: -8920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w - 8. Calculate the lowest common multiple of ((-8)\/(-10))\/((-552)\/(-90) + -6) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 7. Let f be v(-5). Suppose 33 = 5*x + 2*w, -7*x + f*w + 30 = -3*x. Calculate the least common multiple of x and -1 - -1 - (3 - 9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 73 + (-3 - (-6 + 10)). Calculate the highest common divisor of 176 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**2 - 2458*k.\nAnswer: -2*k*(4*k + 1229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 8*c**3 - 24*c**2.\nAnswer: 2*c**2*(c - 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) + 41\/3. What is the units digit of (7\/h)\/((-1)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2315784 and -39\/27017480.\nAnswer: 81052440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (7 - 4)\/(-9)*-18. Let i(c) = 4*c - 38. Let o be i(x). Solve -n = o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2340)\/216)\/(7 + (-779)\/114).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*p - 992*p = 91 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 7*n**2 + 6*n + 5*n**2 + 3*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66248*h**2\/3 + 359801624*h\/3 - 488532516578\/3.\nAnswer: -2*(182*h - 494233)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:03 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.3, 12, 1.4, 28?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**4 - 7330330*h**3 + 36886954*h**2.\nAnswer: -144*h - 43981980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j - 3*j**2 - 16*j)*(-6*j**2 + 2*j - 2*j) + (-8*j + 5*j**3 + 8*j)*(-3 - j + 3).\nAnswer: 13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f - 2. Let j be l(1). Let h = 1 - 1. Is j smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472929547 a multiple of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 5*w = 2*a, -4*w = a - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 2*d**2 - 2*d**2)*(34*d - 35*d + 1 + 19*d).\nAnswer: 36*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 31\/40 - (-5865)\/680. Solve -c + 9*y = 12*y, -4*c - 3*y - o = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8875*a = -6868*a - 36126 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 24*j + 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569772\/60 + (-9)\/90*12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-27)*3 + 935\/(-765))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let w(x) = -x**2 + 8*x + 11. Let r be w(9). Let f(g) = -4*g - 4*g + r*g - 2*g. Give c(f(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuju when four letters picked without replacement from jujjjujjjujjjj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -2\/9*r**3 - 1\/9*r**2 - 2\/45*r**5 + 0*r - 3 - 1\/6*r**4. Factor k(f).\nAnswer: -2*f*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39424\/(-24))\/(-7)*1086\/2896?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let v(m) = -466059*m**2. Determine v(c(d)).\nAnswer: -466059*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -17*m**4\/24 - 7*m**3\/6 - 16*m**2. Let x(n) = -9*n - 4. Calculate -6*l(c) + 11*x(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1376 + -b71?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) - sqrt(448)*-2.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*t + 36, 187*t - 189*t - 10 = -5*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29448840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20068 is divided by 359?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/16)\/((-27)\/864).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 7 - (31 + -19)) + 1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27390.9345 to the nearest one hundred.\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1237.40652 * -0.5\nAnswer: 618.70326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*((-2)\/(-5))\/((-64)\/40).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2. Let h(b) = -164*b. Determine h(i(p)).\nAnswer: 1968*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 14*g + 9. Let k be j(5). Suppose 45 = -k*c + 1. Sort c, -4, -2 in increasing order.\nAnswer: c, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1672862729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -36 in decreasing order.\nAnswer: -3, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 15\/2. Factor 1\/3*l**4 - 1\/6*l**2 + 1\/2*l**3 - 1\/6 - i*l.\nAnswer: (l - 1)*(l + 1)**2*(2*l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.68 - 1.28. What is the second biggest value in -2\/3, -2, c, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4375195 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 0, -2, -1 in decreasing order.\nAnswer: 311, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201200232 - 10?\nAnswer: -201200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -35. Let b be 3\/q - 1592\/(-12). Suppose 3*p + 2*l = -18 + b, 2*p - 84 = -5*l. Solve 3*o + 5 = 4*u, -5*o = 3*u - 3 - p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49731, 99468, 149209, 198954, 248703?\n\"Answer: 2*o**2 + 49731*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4362, 17450, 39264, 69804, 109070, 157062, 213780?\nAnswer: 279224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 + 193. Let c(x) = 2*x + 28. Calculate the remainder when 152\/5 - (-9)\/15 is divided by c(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*q + 158, -27 + 79 = -m - 2*q. Let a = m + 106. Suppose -2*k = 2*k - a. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**6\/30 - q**2 - q + 3. Let d(t) be the first derivative of g(t). Differentiate d(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:26 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11 + (12 + -12 - -283). What is the greatest common divisor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -84401, -168782, -253161, -337538, -421913, -506286, -590657?\n\"Answer: p**2 - 84384*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-12))\/(2\/(-16)). Solve 2 = -5*y - 3*m, 0*y - d = 3*y + 3*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.114\nAnswer: -4.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b - 10. Solve -3*m + b = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6*d + 13. Let m = -94 - -97. Suppose 0 = -m*s - 17 + 35. Is w(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*l**2*q + 27*l**2*r**2 - 4*l*r**2 + q*r - q wrt r.\nAnswer: 54*l**2*r - 8*l*r + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-6*sqrt(272) + ((sqrt(153) - (2 + sqrt(153))) + sqrt(17) - (-1*sqrt(17) + -2)))*2)**2*2.\nAnswer: 91936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/15*z**3 + 8*z + 1\/30*z**4 + 0 - 2\/5*z**2. Factor n(w).\nAnswer: 2*(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10905148, 10905142, 10905136?\n\"Answer: -6*o + 10905154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134111 = -30*k + 535121. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5411, 21033, 46921, 83075, 129495?\n\"Answer: 5133*m**2 + 223*m + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/11 - -32\/33. Let h be ((-6)\/(-9))\/(13\/26). What is the fourth smallest value in w, h, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 347.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-14 - 1) + (8 - (-2 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-20)\/90)*((-72484)\/9)\/(-2)?\nAnswer: 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 8 = 5*j. Suppose j = s - 74. Let z = 26 + s. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/1338 - -3979\/6690. Which is the closest to -1\/5? (a) -2\/15 (b) m (c) -4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 62300.\nAnswer: -17\/62300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b. Let c(n) = 3*n**2 - 1. Let m(o) = -110*o**2 + 25. Let s(a) = 25*c(a) + m(a). Determine u(s(k)).\nAnswer: 245*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043021073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 211010200?\nAnswer: 211010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38971*-16\nAnswer: -623536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18.3 * 0.97\nAnswer: -17.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.114 * 1431.\nAnswer: -163.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((54*z - 54*z + 17*z**2)*(-4*z + 3*z + 6*z) - 3*z + 4*z**3 + 3*z)*(-z + 6*z - 3*z).\nAnswer: 178*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - g - 9*g + (2*g - 3 + 3)*(2 + 3 - 3) + g + g + g + 0*g + 5*g - 3*g + (4 - 1 - 1)*(1 + 2*g - 1) - g + 2 - 2 - 2*g + 3 - 3.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 3*c = 2, -2*l - 41*c = -45*c + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 9 = 0. Suppose -5*o + 5 = -5, 2*g - 78 = f*o. What is the lowest common multiple of 22 and g?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)\/f)\/(f*f**(-2)) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2293, 2311, 2331, 2353, 2377, 2403?\nAnswer: 2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11198 = -206*n - 33652 for n.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10939 + 6*j + 9*j**3 - 10941 - 2*j**4 + 21883 to the form h*j**2 + g*j**3 + y*j**4 + r*j + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*4 + 14 + -13)*-123. What is the tens digit of (p\/(-14))\/(3\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 2*z**2 + 2. Let h = 0 - -3. Let w(d) = 2*d**2 + 6*d**3 + 5 + 2*d**2 - d**h. Calculate 7*q(s) - 3*w(s).\nAnswer: -s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-865)\/(-865)*(-2)\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let d be w(1). Suppose 5*m + 25 = 0, 3*f - m + 5 = -2*m. Suppose d*b + f*b = 0. Which is smaller: -1\/2 or b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4778, 14944, 25110, 35276?\n\"Answer: 10166*o - 5388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/1)\/((-5)\/(-10)). Let m be (-1)\/4*f + 443. Suppose 555 = 2*y + 3*y - 2*h, 3*h - m = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-13)\/3 - -4). Solve b = -u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9574380 and 9574380?\nAnswer: 9574380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 = 3*v, -544*i = 2*v - 539*i - 13. Solve v*j - 2*j - 13 = -c, -3*j + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*q = 12, q = l - 2*q - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 3*o + 4*o - 2*o + 2 + (-1 + 1 - o)*(2 - 2 - 2*o).\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 7. Let f be n(-5). Let o(h) = h**2 - 13*h - 1. Let y be o(13). Put -16, y, f in ascending order.\nAnswer: -16, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Find the second derivative of -t**3 + 4*t**3 + 3*t**3 - k*t**3 + t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 not equal to -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 13*m**6\/60 - m**4\/8 - m**3\/3 - 9*m**2. Let b be z(-1). Let d = -12 - b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5584*8\/66*(-47)\/(-94). Let x = 337 + i. What is the common denominator of 83\/33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -430? (a) 0 (b) -0.1 (c) 0.5 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 50 = -5*h. Let p(d) = -34*d + 916. Calculate the remainder when p(25) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 230253?\nAnswer: 230248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -2 - (-15 + -3 - 9)) + -15 - 99.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-100)\/(-35))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 4. Let h be n(-5). Let l = 1 + h. Suppose o - l*o + 10 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176710403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3187 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11007, 44041, 99097, 176175, 275275?\nAnswer: 396397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6*f + 5*z = 0, 3*f = z + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 + 60*p - 88. Let o be j(4). What is the nearest to 86 in -5, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 3. Suppose 0 = -q + 3*b - 12, -5*q = 4*b + 35 - 13. Let v be d(q). What is the closest to -11 in -0.1, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-6)\/27). Let l be (-3)\/h*2*9. Let c be 60*(-1 - l\/6). Calculate the highest common factor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*z - z**2 + 149*z)*(-z + z + z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18774796829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1009 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 16*r - 77.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 97, 28, -1, -5, 15 in decreasing order.\nAnswer: 97, 28, 15, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.82 (b) 1\/23 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 57*z + 36*z - 27*z.\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-3)*w\/(w*(w\/((w\/((w\/w**(-7)*w)\/w)*w)\/w))\/w*w)*(w*w*w**(-1)*w)**(-37)*(w**2\/w*w*w**(1\/6))**13 assuming w is positive.\nAnswer: w**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/(((-1)\/4)\/(-9 - (9 - 15))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, x: 10}. Give prob of picking 1 f and 2 x.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.93 + 11. Let d = -0.024 + 0.254. Let a = d + k. What is the smallest value in -3, a, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -4 + 0 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29011922.8 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/((-7)\/(-112) + 0). Let l = j - -1089. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(76))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/43 - -851\/129. Which is smaller: 7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-2)\/((-4)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l. Let i(w) = -2*w**2 + 41*w. Calculate -2*i(k) - 9*n(k).\nAnswer: 4*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*g*h*w - 6*g*w**3 + 21636*h*w**3 wrt g.\nAnswer: 58*h*w - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2159 + 2435. What is the highest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 24*k**3. Let f be d(1). Suppose 4*b = 15*b + 2772. Is (-8)\/6*b\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 48\/27 + (-124)\/(-585). Let v = w - -203\/780. Factor 2*s + 5\/4*s**2 + v*s**3 + 1.\nAnswer: (s + 1)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 + 73)\/(36\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367434 is divided by 963.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -190*k - 194*k + 383*k + 762*k**2 + 795*k**2 - 1786 + 465 wrt k?\nAnswer: 3114*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216 + 3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 4 in descending order.\nAnswer: 13, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 733.\nAnswer: 3\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4\/4 + 321*g**3\/2 - 213*g**2\/4 = 0.\nAnswer: 0, 1\/3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -3*g**7\/70 - g**4\/24 - 3*g**2 + g. Let w(z) be the first derivative of u(z). What is the second derivative of w(r) wrt r?\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11363540 to the nearest 100000.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**2 + 3*m + 3. Let a(r) = -15*r**2 + 4*r + 4. Suppose 2*k + 7 = -5*l, -3*k - 65 = -2*l - 83. Determine k*d(f) - 3*a(f).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-10)*(-20)\/(-6). Suppose -3*z = -0*z - y. Suppose -992 = -11*r - 970. Put -4, -3, r, z in increasing order.\nAnswer: -4, -3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 25 - 14 - (-1 - 11)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20856 - 20785 = 5*l - 2*c, -4*l = -4*c - 64 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kszclzh. What is prob of sequence hks?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10015 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 319.9054 days?\nAnswer: 7677.7296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -17*p**8\/56 - 7*p**4\/4 - 8*p - 2. Let v(a) be the first derivative of l(a). Find the third derivative of v(t) wrt t.\nAnswer: -2040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 793592*s**2 - 793592*s**2 + 2*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b - 0*b. Suppose -z + 2*z + 3*d = -1, -2*z = -d - b. What is the second derivative of -3*x - x**5 + 4*x + z*x**5 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 6, 19, 38, 63?\n\"Answer: 3*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -28, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27004076 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30202 + -10?\nAnswer: -30212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1.52 (c) -1538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 45 = -l, b + 85 = 6*b + 3*l. What is the remainder when 99 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -850*t**3 + 7*t + 23. What are the prime factors of n(-2)?\nAnswer: 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-600)\/4000*(-2)\/(-12).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11424 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 15200*b - 15200*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -347, -14 in descending order.\nAnswer: 0, -4, -14, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 11, 0.15, 0.3, 10 in descending order.\nAnswer: 11, 10, 4, 0.3, 0.15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 25*b - 1326635 = 9*b. Is 153 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -5, 2, -1, -419 in descending order.\nAnswer: 101, 2, -1, -5, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 21*k - 17*k. Let z = -197 - 47. Let f = z - -249. Solve j + r = 1 - 3, f*j = -k*r - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 66. Suppose z = -z + l. Sort z, 0, 4 in descending order.\nAnswer: 4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + (20 - 24) + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 6*x + 25. Let s be g(8). What are the prime factors of (s - (0 + 2))*-2?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557405.3 centimeters in micrometers?\nAnswer: 5574053000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 31, 58, 93, 136, 187?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 31*l - 5*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18855 - 10660. Suppose 19*u - 8*u - i = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-28)*r\/r**(2\/5) assuming r is positive.\nAnswer: r**(-137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 55748\/(-2068) + 29 + (-2)\/47\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1063.24 + 5.\nAnswer: -1058.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r - 33 = 2*j, -4*r + 4*j - 4 = 0. Let l be 0 - -1 - (-7 + 5). Let u(s) = -4*s + 0*s + 1 + l*s. What is u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -325*r**4 - 4*r**3 - 4*r + 85. Let u(q) = 649*q**4 + 9*q**3 + 9*q - 170. Let c(w) = 9*b(w) + 4*u(w). Differentiate c(s) wrt s.\nAnswer: -1316*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*m = -6*z - 13, 0 = -5*z - m - 26. Let y(v) = -1 - 3*v - 2 + 2*v. Let g be y(-7). Which is the closest to -1? (a) g (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 6, r: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 - 395 = -5*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -29948, -3?\nAnswer: -29948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94, 210, 344, 490, 642, 794, 940, 1074?\n\"Answer: -t**3 + 15*t**2 + 78*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2154327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101110111 + 1001000?\nAnswer: 100010110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - (-6 - -1 - -6). Suppose l*n - 3*n - 1350 = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(5*(-6)\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14367*h**5 - h**4 + 134*h**3 - 11928449*h**2.\nAnswer: -862020*h**2 - 24*h + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 14?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608473 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(121) + -1*sqrt(121)))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942721842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) -4 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01920834 rounded to 4 decimal places?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-12)\/64*(-4)\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3 + 5*n**3 + 2*n**3 + 5*n**2 wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from kieskiekii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*c + 2*c + 79 = 0, 2*v - 58 = 4*c. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/30 and -50\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((252\/216)\/((-3)\/((-90)\/4)))\/(4690\/5360).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 84 = 4*u, 78*u = 75*u - 5*h + 88 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78435, 157263, 236091, 314919?\nAnswer: 393747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:56 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4829145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 22, 38, 52, 64, 74, 82?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1\/5 (b) -4 (c) -0.1 (d) 343\/4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2330131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 + -2 - -20) + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b - 1. Let g(s) = -13*s - 2. Let l(z) = -1. Let w(u) = -g(u) + 3*l(u). Let q(h) = 3*r(h) - 2*w(h). Give q(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/12 - j**3\/2 - 2*j**2. Let u be r(3). Suppose 0 = -u*k - 5*d - 3, -d - 7 = -k - 0*d. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9095 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13658 - -24653. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + ((sqrt(308) + sqrt(308)*-2)\/sqrt(11) - (-1 + sqrt(1372)) - (sqrt(2800) + (sqrt(2800) - (1 + sqrt(2800) + -2)))))*2)**2.\nAnswer: 1152*sqrt(7) + 36352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -13*s + 3*s. Let q(u) = -u**2 - 14*u - 26. Let d be q(s). Suppose -d*c - 50 = -9*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.460555 rounded to 3 dps?\nAnswer: -0.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0 + 0*z + 1\/60*z**5 + 0*z**4 - 3*z**2 + 1\/6*z**3. Let a(f) = -2*f + 3*f**2 + 4*f + 2 + f**2. Determine -a(t) + 2*n(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 - 3*s + 1. Let t be d(4). Let g(r) = -r - 2*r + t*r - r. Let j(n) = 163 + n**2 + 2*n**2 - 163. Determine g(j(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -560 + 564. Let p = 6.7 + -1.7. What is the fourth smallest value in 0.1, -0.4, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 28308*s + 601007148.\nAnswer: (s - 42462)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from dgldddlpdtptz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 7*g**6\/120 + 7*g**4\/24 - 7*g**2. Find the second derivative of o(s) wrt s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*g - 7261*g - 268*g - 4442*g.\nAnswer: -11427*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 19727068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 68*i - 1. Let r(b) = -b**3 + 32*b**2 - 2*b + 65. Let d be r(32). Let g(n) = -5 + 6 + 0 - d - 2*n. Determine w(g(k)).\nAnswer: -136*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w - 2*w + 16*w**4 + 100*w**3 - 104*w**3.\nAnswer: 4*w**3*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*b - 6, -z - 10 = 4*b + 4*z. Solve -3*o = -b*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:45 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from aooaaaaoooaoo.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:51 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-42) + (-2)\/(-3). Let n = -3589 - -3589.4. Which is the nearest to -2? (a) n (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 84*x - 254. Let a be u(3). Put -4, 5, a, 54 in descending order.\nAnswer: 54, 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + 31)*-1 + 0 + -5. Let w(c) = -2*c - 76. Let v be w(r). Solve 3*q = -v - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 28 + 2. Let t(p) = -p + 2. Let w be t(u). Let h = w + -6. Which is greater: h or 12\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 s when three letters picked without replacement from {i: 6, u: 2, t: 3, j: 2, s: 2}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 85.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (160\/(-14) + 4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 558\/3720 - (-1)\/(-5)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.2 (c) -0.1759 (d) -2 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(6)\/sqrt(3)*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1198 and -28.22753.\nAnswer: 1169.77247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.708 to three decimal places.\nAnswer: -0.708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -52*k + 18. Let d be p(-3). Suppose 404 = 178*m - d*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 20*u**2 - 38*u - 33. Let g be r(-18). Sort 33, 0, -0.5, g.\nAnswer: -0.5, 0, g, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*r + 37 - 37 - 146*r - 147*r - 155*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 1.59?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(180)*-1 + sqrt(180))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1771?\nAnswer: 5\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 2*t - 17. What is l(11)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010012 (base 3) to base 16.\nAnswer: 32f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3 - 3, -4*p + l = -19. Suppose -p*a = 2*a - 24. Suppose -a*t = 2*t. Solve f - 6*f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(162) + sqrt(162)*2)*3)**2 + 5.\nAnswer: 13125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 47*f**2 - 24*f + 2. Let w be z(24). Suppose w*l = 14*l - 5460. Does 69 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 20644546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 1244 - 2294 = 0 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23770 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(187) + (sqrt(187)*-1 - sqrt(187))*-5)\/(2*(sqrt(11) + sqrt(99) + sqrt(11))).\nAnswer: 33*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48d - -1?\nAnswer: 48e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(5 + ((-5 + 4 + sqrt(13) + 1)*-4)**2).\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - r = -71, 4*m + r = 56 + 39. Suppose -26*a = -m*a - 178. Let t = a + -23. Does 33 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12834808790 - -408.\nAnswer: -12834808382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q - 6*q)*(1 + q**2 - 1) - 3*q**3 + 3*q**3 - q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/123)\/((-157)\/(-11304)*48)\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 631, 520, -129, -1508?\nAnswer: -3809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+5.5370070246\nAnswer: 5.4370070246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/7*(-42)\/12 - 3. Let h be 0\/(-1*(z + 3)). Factor -2*j + 20*j - 8 + h*j**2 - 4*j - 3*j**2.\nAnswer: -(j - 4)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + 3*r + 9. Let n be m(-5). Suppose p - 6*p + 20 = 0. Put -1, n, p in descending order.\nAnswer: p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3498, -3501, -3504, -3507, -3510, -3513?\n\"Answer: -3*t - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1386855*-0.1.\nAnswer: 138685.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -603\nAnswer: -46\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228592273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9171929.97ms?\nAnswer: 0.015165228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23490000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 40 + -42 + -23.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (75\/900)\/((-1)\/12). Suppose 2*f + 2*u = 6, -5*f + 9 = u + 2*u. Sort -2, 2, i, f.\nAnswer: -2, i, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 16. Let c(r) = -n - 7*r + r + 2*r. Is c(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 4. Let z = 0 - -2. What is the units digit of w(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16928 + 16950. Solve s*d = 11*d + 99 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*d + 1 + 4 = 0, 4*z - d - 20 = 0. Let k(r) = -4*r + 2. Calculate k(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 + 27*p**2 + 20*p + 40. Let o(k) = -k**3 - 9*k**2 - 7*k - 13. Let v(n) = -2*i(n) - 7*o(n). Let h be v(10). Is h\/(-2) + 468\/8 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14354, 28700, 43046, 57392, 71738?\n\"Answer: 14346*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -17) + -11 + 0 + -5 + -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 808710283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/12050 and 131\/30.\nAnswer: 36150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-49)\/(((f*(f*f\/f**(1\/2))\/f)\/f)\/f**3))**(2\/29))**(5\/18) assuming f is positive.\nAnswer: f**(-155\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let k = 0.41 + -0.24. Let d = k - -0.03. What is the nearest to 1 in 5, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + 3.5. What is r rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:07 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 1?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 8) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 420, 1, 3, 5, -14, 4 in increasing order.\nAnswer: -14, 1, 3, 4, 5, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*q**4 - 20*q + 0 - 62\/3*q**2 - 20\/3*q**3 = 0 for q.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, 428, 1248, 2416, 3944, 5844, 8128, 10808?\n\"Answer: 2*g**3 + 156*g**2 + 2*g - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212641, 425269, 637895, 850519, 1063141, 1275761?\n\"Answer: -s**2 + 212631*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*c + 236*c + 16. Is c greater than -4\/805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16633876?\nAnswer: 2, 7, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471 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: Calculate -0.3*-439.\nAnswer: 131.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557132, 3113635, 4670136, 6226635, 7783132, 9339627?\nAnswer: 10896120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -95. Let s = -170 - -846\/5. Which is the second smallest value? (a) 0.5 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/23? (a) 5377 (b) -0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*a + 66. Let k(o) = -3*o - 112. Let p be k(-38). Suppose -74 = -4*q + 2*x, -p*x + 2 = -0*x. What is the remainder when a is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534999, 1070290, 1605581?\nAnswer: 2140872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113890 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13041310.\nAnswer: 2, 5, 1304131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 + (-6 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101045012*v**6 + 15031002*v**2 + 2.\nAnswer: 12125401440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -2. What is the units digit of -2 + 3\/(o\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 11*m**2 - 2*m + 27. What is y(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from ccdxdwcdcdddxddxcdc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**9\/10584 - o**8\/5880 + o**3\/6 + 3*o. Let t(s) be the second derivative of m(s). Factor t(b).\nAnswer: -2*b**4*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {b: 1, i: 1, z: 4, w: 4, v: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101.031 - -0.031. Let k = j - -208. Let z = -106 + k. What is the nearest to -1\/2 in -0.5, z, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-45))\/((-10)\/18 - 2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9552540.1 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39 and -95\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -n - 3*k, -69 = -n + 5*k + 77. What are the prime factors of n?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3671270487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-638)\/(-44))\/(3\/18). Which is the third smallest value? (a) 5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5) - (-524)\/20. Let a(y) = -2 + 1 - 1 + y - 26*y**3 + 4 + 2*y**2. Let i be a(-2). Calculate the highest common divisor of i and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 85*q**3 + 15*q**2 + 9*q - 6. What are the prime factors of l(7)?\nAnswer: 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1147 + 446. Does 45 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a99 (base 12) to base 2.\nAnswer: -11000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1415 times 0.1\nAnswer: 141.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 166*w**3 + 84*w**3 + 83*w**3. Let r(h) = 2*h**2 - 2*h. Suppose -q - 2*x - 4 = 3*q, 3*q + 3 = -5*x. Calculate q*r(n) - 2*v(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 706*g**2 + 1 + 706*g**2 - 4*g)*(3*g**2 + 4*g**2 - 5*g**2).\nAnswer: 4*g**5 - 8*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2079 and 4697.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588*i + 11874 = -389*i - 2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-2 - (1 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddrddddddddddrdddd?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -311619 divided by 103873?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b291e (base 15) to base 6.\nAnswer: 205121215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.421 less than -47?\nAnswer: -42.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-8)\/(-2). Let m = -156 + 107. Let z = -48.6 - m. Which is the closest to n? (a) 2\/9 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1475 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536959 and 519023?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.52486 millilitres to litres.\nAnswer: 0.03952486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:04 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/144984525 and -29\/20712075.\nAnswer: 144984525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**8\/2520 + y**7\/1890 + y**6\/1620 - 2*y**3\/3 + y + 42. Let d(r) be the third derivative of b(r). Factor d(p).\nAnswer: -2*p**2*(p - 1)*(3*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 5*r = -210 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 810*b**2*d**3*i - 4*b**2*d + 3*b**2 + 2*d**3*i + 48*d**3 with respect to i.\nAnswer: 810*b**2*d**3 + 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 265 + 5*k**3 + 25*k**2 - 4*k**3 - 267 in the form y*k + w*k**2 + t + u*k**3 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times -1.21?\nAnswer: 0.1331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121253330 (base 6) to base 15.\nAnswer: 309200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = -8*a + 166950. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51195 divided by 1?\nAnswer: 51195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 66 + 49 = -z, m + 2*z - 23 = 0. Let p be (-662)\/7 - -10*(-18)\/(-315). Let w = 162 + p. Calculate the remainder when w is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - (4 + -11)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*y**2 - 490*y**2 + 141*y**2 + 112*y**2 + 114*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 608740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 10 - 0. Let y = 7 + w. Solve y*f - f = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -104*v**3 + 58*v**2 + 11*v + 1395. Let o(i) = -38*i**3 + 19*i**2 + 4*i + 465. Let r(d) = 11*o(d) - 4*q(d). Find the first derivative of r(x) wrt x.\nAnswer: -6*x**2 - 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 60 = -3*z. Let s = z + 13. Let u be s\/(3\/3 - 2)*-3. Solve 2*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11053 (base 6) in base 3?\nAnswer: 2010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.100576 - 0.37.\nAnswer: 2.730576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**5 - r**2 + r - 1. Let n(p) = p**2 + 6*p - 6. Let s(c) = -6*m(c) + n(c). Find the third derivative of s(f) wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.14?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 14)\/((-2)\/(-30)*3). Let p be (-4 - -1)*183\/9. Let k = w - p. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2352\/(2800\/50)*(4\/(-35))\/(2\/(-10)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcczczczzcczz. What is prob of sequence czzc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62574.7076 + 0.157.\nAnswer: 62574.8646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52578728*l**4 + 3*l**3 - 643802796*l**2 wrt l.\nAnswer: -1261889472*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 25. Let c(a) be the first derivative of a**2\/2 - 6*a + 1725. Calculate c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5 + 3. Let p(y) = 7*y + 6*y + w - 14*y. Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 4*((-2 + sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343)) - (-5*sqrt(343)*-1 + 1 + sqrt(343) + 0))*-5.\nAnswer: -350*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-621)*((-17051)\/(-413) + -41)\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/10*(-5290)\/(-138). Let n(l) = -18*l - 6 + c*l - 25*l. Determine n(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(3*(-4)\/(-60)). Let r = 53 - t. Suppose -i - 124 = -4*b + 4*i, -4*i + r = 4*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16.53902 centuries?\nAnswer: 1653.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71335 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2 + 3*a - 1. Let s be l(2). Let q = s - 18. Let x = q + -8. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -410, -1, 1, -2 in ascending order.\nAnswer: -410, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 67. Let y be z(10). Which is the nearest to y? (a) -6 (b) 2\/7 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158137\/3 - -179180\/3. Let n = 6952 - z. Which is bigger: n or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64640340 and 85300.\nAnswer: 323201700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(3\/7)*l)\/l)\/l**(-1))\/((l\/(l**(-1\/4)\/l)*l)\/(l*l**(-1\/9)*l)))\/((l*l*l\/l**(-1\/2))**17)**(1\/22) assuming l is positive.\nAnswer: l**(-3655\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156242 (base 7) to base 5.\nAnswer: -1442443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -9)*288\/32*(292\/36 + -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35.68 greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 4:00 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.66994 + -37.36706. Let h = g + 38. Let i = -13.963 + h. Which is the second biggest value? (a) 1 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(53\/(-424))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:32 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81656 + -5552717\/68. Let v = j + -5\/34. Let t = v + 25\/12. What is the closest to t in -0.2, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 854037072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77381, 0, -43, 4, 3, 5, 1 in decreasing order.\nAnswer: 77381, 5, 4, 3, 1, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1858, 3699, 5520, 7321, 9102, 10863?\n\"Answer: -10*b**2 + 1871*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(280))\/((-2*sqrt(70) - sqrt(70))\/sqrt(7)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/17, -0.06, -1\/100, -2, -0.1, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y - 2*y + 2*y**4 + y**4 - 3*y**4 + 4*y**4 + 2*y**4 + 2*y**4 - 3*y**4 + (4*y**3 - 5*y**3 + 3*y**3)*(y - 4 + 4).\nAnswer: 7*y**4 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 = 3*m + 4, 0 = -5*m + 4*n - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-2))\/((-54)\/12). Let t = -5.5 + 6. Let w = t - 0.4. What is the nearest to f in w, 2\/5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 10\/9 (c) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.024 in -1\/5, 2\/5, -6.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Sort 2\/9, 5, i in decreasing order.\nAnswer: 5, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let d(w) = -37903*w**2 + 2*w + 68. Calculate d(i(r)).\nAnswer: -37903*r**2 + 2*r + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 33*w - 56. Calculate v(-32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2511 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9800005*o**3 + 3*o**2 - 4. Let m(w) = -9800006*w**3 + 4*w**2 - 5. Let f(z) = -5*k(z) + 4*m(z). Let b be f(-1). Round b to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 4, h: 1, f: 1, c: 2}. Give prob of picking 1 u and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j = -2*u + 2, 2*u = 2*j + 4. What is the smallest value in -5, u, 134?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 + 497. Sort 1.6, 0.4, p, 0.\nAnswer: 0, 0.4, 1.6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459519 divided by -141\nAnswer: -3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15392 + 125*x**2 + 15392. Let h(r) = -2*r**2. Determine h(v(s)).\nAnswer: -31250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 95*s**3 - 2*s**2 + 113*s - 320. Does 12 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1728425211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 9816*q - 695252.\nAnswer: -4*(q + 73)*(q + 2381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88437*w - 58251*w + 2 - 146847*w.\nAnswer: -293535*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.457 - 0.46. Let g = x + -26.997. Let n = 29 + g. Which is the third biggest value? (a) n (b) 3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 11*k**3\/6 + 13*k**2\/2 + 64*k. What is the lowest common multiple of r(5) and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12301352 + -5?\nAnswer: 12301343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 9) to base 13\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x - 20. Let q(u) be the third derivative of u**4\/6 - u**3\/2 - 14*u**2. What is 3*i(d) - 20*q(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5838598 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/(2\/(-15)). Let p = 4554 + -4554. Let j = 3.97 + 0.03. What is the closest to p in 0.1, b, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*k**3 + 28\/15*k**2 + 38\/5 + 2\/15*k**4 + 184\/15*k = 0. Calculate k.\nAnswer: -1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 18 - 10\/3*o**3 + 9\/2*o**4 + 0*o**2 + 0*o. What is the third derivative of r(u) wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8) + 1174*3\/12. Let f = s + -166. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000088122 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*c - 185*c + 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028342 is divided by 93472?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 14*f**2 - 16*f - 13. Let q be v(-15). Let l be -1 + 2 + 0 + q. Suppose 104 = 5*x - 4*k - 342, 0 = -l*k - 12. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -12. Suppose -x - 4*o + 113 = 0, 0 = 2*x + 5*o - 25 - 186. Let q = x - w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*g - 327*g**2 - 4*g**4 - 22756 + 7*g**4 - 153*g**3 + 22756 + 322*g.\nAnswer: 3*g*(g - 53)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322647?\nAnswer: 2322647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 2. Let g = 0.29 - -0.01. Which is the second biggest value? (a) g (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/5 + 3236*p\/5 - 182512\/5.\nAnswer: -4*(p - 748)*(p - 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.3. Let r = -196.469 + 194.569. Which is the fourth biggest value? (a) r (b) -4\/9 (c) f (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6072191025.42 + -261.\nAnswer: 6072190764.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 4 = 4*y, 3 = -5*y - 3*v. Suppose 5*a - 5*z + 162 = 8*a, -3*z = y. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = h + 8, 0 = 5*h - 2*s - 13 - 1. Let y(c) = 6*c**h + c**3 + c**2 + 19*c - 2*c**3 - 3 - 2. Let l be y(9). Solve -4 = 4*g + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34972?\nAnswer: 2, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 41*w - 314. Calculate l(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2790)\/(-651))\/(((-8)\/(-14))\/(12\/9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*w + 1475 = 1462, -10*w = -g - 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.113 (b) 0 (c) 3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daaaaadadddaa. Give prob of picking 2 a.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 3. Let k be h(0). Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.7 - -13.7. Let m = -0.1714 + -0.0286. Let g be ((-2)\/5)\/((-3)\/5). Which is the nearest to m? (a) g (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + m = -4, 16 = -5*g - 7*m + 3*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 18 = -42. Let t = -11 - q. Suppose 3*s - 9 = i, -3*s + t = -3*i - 0*s. Solve i*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-14) - (-11)\/77. Let y = 4.49 - 4.69. What is the third biggest value in 3, z, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331058 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -15, -0.3 in decreasing order.\nAnswer: -0.3, -5, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*m + 4*m + d, -2*d + 4 = 0. Let h be (-6 - (-84)\/12)\/(-2). Let w = m - h. Which is the biggest value? (a) w (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999 is divided by 1498.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -408876 * 5.6\nAnswer: -2289705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose 3*r = 2*s - 4 + 18, -4*s - 24 = -5*r. Let b be (-2 + r\/(-4)*-2)*-1. Solve 0 = -4*d + 4*z - y, -2*z = -d - b*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 40. Let q(p) = p**2 + 2*p - 14. Let s be q(3). Solve -i - s = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/128)\/(6\/16). Let w = -6 + j. Let s(p) = -p**2 - 4*p - 5. Let k(m) = -m + 5*m**2 - 11 - 5*m**2 - m**2 - 8*m. Determine w*k(y) + 9*s(y).\nAnswer: -5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 14, 3, -0.07, -1, 4 in descending order.\nAnswer: 14, 4, 3, -0.07, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13181 is divided by 12938.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/15))\/n**(-4\/3))\/(n**(-1))**(-6\/17) assuming n is positive.\nAnswer: n**(157\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3496308.\nAnswer: 2, 3, 291359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(90\/24))\/((-4)\/60). List the prime factors of 9\/((-54)\/(-8503)) + (-2)\/k.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/2 + 81*j**4 - 214951*j**3 - 67364670*j**2 + 272464693*j\/2 + 203381985 = 0.\nAnswer: -437, -1, 3, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1054473 divided by -1043.\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiifiiiiiijikifiii. What is prob of picking 2 f and 1 i?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36350390.6 rounded to the nearest one thousand?\nAnswer: 36350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*q = 10, -4*x - 5*q + 2 = -3*x. Solve -4*j = 5*p + 28, -2*j - p = 1 + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 8*y. Let c be p(9). Let z be ((-24)\/c - -2) + 112\/24. Let i = z + -2. Calculate the remainder when 22 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 35 = 21. Let h(x) = 3*x**2 - 2*x. What is h(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d = -166 - 95 - 114 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 + 4 = 0. Suppose -3*q + 89 = d, -3*d = 3*q - 300 + 57. What is the highest common factor of d and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = -3. What is the tens digit of (-5 + 15)\/(i + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*x + 7*x = -2*x + 7*x - 10*x - 17, -2*n = 2*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1341 + -2?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/56923?\nAnswer: 1\/56923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46117 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 44*i**2 + 46*i + 36. Let a be r(22). What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z - 30*z + 78*z - 11*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 d when three letters picked without replacement from {k: 6, d: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 3*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3543116?\nAnswer: 2, 251, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 205065 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 1}. What is prob of sequence hv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -337815 (base 10) in base 4?\nAnswer: -1102132113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.094 * 208.47.\nAnswer: -436.53618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 2433510.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-675)\/(-180)*(-4)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.617 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q**2 + 5. Let n(b) = 22*b**2 + 4. What is -5*n(a) + 4*u(a)?\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i**3 + 39*i**2 - 39*i + 9 = 0 for i.\nAnswer: 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -j. Let r be 4\/6 + (-20)\/j. What is the smallest value in -3\/8, 0.5, r?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 + 4*a**2 - 6*a**2 + a**3 - 178 - 11*a to the form t + j*a**3 + w*a + i*a**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 7:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 2:12 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -215.\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:44 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65389.\nAnswer: 23, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let n = 11 + -4. Let a(y) be the first derivative of -y**3 - 7*y - 1 + 5 + n*y. What is a(r(o))?\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-26)\/(-130))\/((-2)\/(-10))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0262924 times 0.1?\nAnswer: 0.00262924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6572 - 5153. What is the remainder when a is divided by 461?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111682343 is divided by 965?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 11*o + 15. Let t be d(10). Suppose -t*m - 3*c = 0, -m + 18 = 2*c - 5*c. Solve -m*u = 4*j + 3, -u - 5 = -0*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -90, -75, 0, 3 in ascending order.\nAnswer: -90, -75, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 6. Let z(d) = 7*d + 1. Let u be z(l). Suppose -2*m + u = 2*t, -26 = -3*t + 2*t - 4*m. Solve 2*b - 4*b - t = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 5*s + 1. Let b = 151 + -147. Let c(f) = 20*f**2 - 14*f + 3. Give b*c(a) - 11*i(a).\nAnswer: 3*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 9*m - 44. Let v(q) = q**2 + 8*q + 43. Suppose 15*c + 56 + 19 = 0. Let b(j) = c*v(j) - 6*w(j). Solve b(n) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 10. What is the least common multiple of ((-99)\/21)\/11 + (-73)\/(-7) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -159 (b) 0.58 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922 - 936 = -2*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 2 - -13 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/2, -8229625?\nAnswer: -8229625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 461801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 684, 1505, 2668, 4179?\nAnswer: 6044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189566902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/10 - 33*t**3\/5 + 137*t**2\/10 + 33*t\/5 - 68\/5 = 0. Calculate t.\nAnswer: -68, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*r**2 - 56*r**2 - 51*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103586388.\nAnswer: 2, 3, 23, 89, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2971 = -402*l - 1853 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2716211.\nAnswer: 5\/2716211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -36 - (2 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28074 and -2306.\nAnswer: -64738644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 107*f + 747. Determine h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4440 - -8938. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.03 + -11.04. Let k = q - -0.01. Let g be (-7)\/(-126)*6*0. Put -1, g, k, 0.1 in descending order.\nAnswer: 0.1, g, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(11) - (sqrt(44)\/sqrt(4) + -5))**2 - (4*sqrt(99) + -3).\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -39 (b) 3 (c) 0.029 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 15*h**4 - 27\/2*h**3 + 9\/2*h + 0 - 6*h**2 = 0.\nAnswer: -3\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 - 30448*y**2 - 26478042*y + 26508492 = 0 for y.\nAnswer: -14298, -927, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from frrrreererrrrrrrfrff?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n + 2*d + 14 = 0, 0 = 4*n - 3*d - 4. Let z be 20\/25*(-5)\/n. Let 0*f**5 + f**5 + 41*f**z - 3*f**3 - 43*f**2 = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((72\/20)\/(-3))\/(4\/80*-54). Let x(g) be the first derivative of 4\/3*g - 6 + d*g**3 + 4\/3*g**2. Solve x(i) = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 1 + 1. Let w = -3 + q. Let i be ((-93)\/9)\/(w\/3). Solve -4*j + i = 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 23, 205190 in decreasing order.\nAnswer: 205190, 23, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a + a**2)*(-5*a - 2*a - 2*a) + 0*a**3 - 2*a**3 + 0*a**3 as o*a**2 + w*a + z + x*a**3 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2186024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -578*w**3\/9 - 136*w**2 - 46*w\/3 - 4\/9.\nAnswer: -2*(w + 2)*(17*w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 + 4*y + 46. Calculate l(-7).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -34, 12, 64, 116?\n\"Answer: -z**3 + 12*z**2 + 5*z - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b + 6. Let u(x) = -8*x - 7. Let a be 1*2\/(-1) + 0. Let t be -2 + 1 - (-1 - a). Let j be t\/(-3)*27\/3. Determine j*q(d) + 5*u(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 974023881 and 0.7.\nAnswer: 974023881.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l - 1. Let r(u) = -14*u**2 + 3*u - 65. Let v be (6\/4 + 1 + -2)*2. Let b(s) = v*r(s) + 3*i(s). Differentiate b(j) wrt j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (130\/(-195))\/((-4)\/(-6)) + 3. Factor 0*k + 0 - 3\/2*k**3 + 3*k**u - 3\/2*k**4.\nAnswer: -3*k**2*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81225329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -214 (base 5) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 65. Let m be z(-12). Sort -2, 1, m in decreasing order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*o - 1082. Suppose -2*h + 16 = 8. Suppose 3*r - h*r + o = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*x**5 + 7652*x**3 + 2115523*x**2?\nAnswer: 24060*x**2 + 45912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387574 take away 227036859?\nAnswer: -227036858.612426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5210547 + -676.4673547. Let q = -675 - v. What is q rounded to 3 decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 24. Calculate the remainder when d(-12) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 - 10*o - 177 as g*o + s and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**4\/8 - t**3\/3 - 30*t**2 - 1. Let j(w) = -5*w - 4. Let d(p) = p - 3. Let b be d(-1). Determine b*j(m) + 7*l(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 52 - (4 + -20 + 59).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - b = b - 92, 0 = -2*c + 5*b + 34. Suppose -3*d + 2*n + 480 = -d, -4 = -2*n. Calculate the greatest common factor of c and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 55, 68, 77, 82?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9504750 is divided by 365563?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002454607 rounded to five decimal places?\nAnswer: -0.00245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 11*b**3\/6 + 5*b**2 + 21*b. List the prime factors of d(5).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x. Let t(a) be the second derivative of 0*a**2 - 5*a + 17 + 20\/3*a**3. Determine t(w(g)).\nAnswer: -200*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/12 + 13*l**3\/6 + 11*l**2\/2 + 20*l. Let a be v(-6). Let u = 42 + a. What is the least common multiple of 7 and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -17\/2*y**2 + 0 + 16*y + 0*y**3 + 5\/4*y**4. Find the first derivative of h(t) wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3546 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ede09 (base 15) to base 8.\nAnswer: 10532346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)*2\/4. Let v = -4887 - -4892. Calculate the highest common divisor of v and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/6)))\/(((i**(-1)*i)\/i)\/i)*((i\/i**(-4))\/i)\/i**2*i*i**1*i**(-6\/5)*(i\/i**(-2))\/i**(1\/4) assuming i is positive.\nAnswer: i**(443\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3006 and 334.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 2*c**2 - c**3 - 3 + c - 4*c. Let g(n) = -n - 3. Let i be g(-6). Let a be b(i). Solve u = -u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3\/28*(-38)\/57*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:11 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-19 - (20 - (0 - -25)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-108)*(-3)\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1296, 5168, 11614, 20628, 32204, 46336, 63018?\n\"Answer: -w**3 + 1293*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(3\/7))\/(g\/((g**0\/g)\/g)))\/(g\/(g\/((g\/(g**(-2\/9)*g)*g)\/g))*g*g\/(g\/g**(-1))) assuming g is positive.\nAnswer: g**(-167\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 7. Let c = -3 - 2. Let a be (-120)\/(-50)*c\/(-2). Determine j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1055\/8 + -11353\/88. Calculate the common denominator of j and 65\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -5*y - 4*o, 104*y - 62*o + 14 = 99*y - 58*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*j - 31, -5*u = -j + 4 + 22. What is the remainder when j is divided by 5 + (0 + -1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4.55, -31, -1.08?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -5, 50, 169, 376, 695?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11697 and 21.\nAnswer: 11697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0 - 41 + 85 + 10*b. Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1124 + 2?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-5))\/(6\/(-15)). Is -1\/2 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = -24. Let o be v\/14 + 165\/(-35). Let w = 0 - o. Calculate the greatest common factor of w and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 52 = 6*c - 4*c, -3*c - 52 = -4*z. Let u = 13 - 8. Let j = 0 + u. What is the remainder when z is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, -94, 116, 3 in increasing order.\nAnswer: -94, -16, 3, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z + 4*v, -3*z - 5*v = -0*z + 17. Calculate the least common multiple of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, 0.11971, -3, 8.\nAnswer: -3, -3\/14, 0.11971, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2 - -5)*5. Let q = -83 + 96. Solve -5*j - 8 - q = 2*a, 4*j + o*a = -27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 5*z, -1 = z - 0. Solve r = b - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**2 + 13*a + 9. Let j(p) = -57*p**2 + 90*p + 63. Let t(o) = 4*j(o) - 27*q(o). Let n(g) = 3*g**2 - 2*g - 2. What is -9*n(c) - 2*t(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 48934 + 31016 = 7*i. Is i a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 40 = -4*q - 2*b, -4*q - 5*b = -39. Let j = q - 20. Let w = j + 14. Calculate the greatest common factor of w and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573) + -2 + sqrt(1573) + -2*sqrt(1573) + sqrt(1573) + -2*sqrt(1573)*1 + 3)**2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 1040?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9729504 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 2*h = 35. Suppose h*c + r + 3 = 0, 2*c + 0*r + r = 0. Is c at least -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 6. Let z(l) = 1. Let w(b) = -r(b) + 5*z(b). Let d(h) = -2*h**2 + h**2 + 4*h**2 - 4*h**2 + 2*h**2. What is w(d(p))?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2337 is divided by 2330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - 258. Let c = 565 + j. Let t(u) = -u**3 - 7*u**2 + 8*u + 7. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -55*f**5\/4 - 43*f**4\/4 - 4*f. What is the third derivative of p(c) wrt c?\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56033363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -362, -330, -256, -122, 90, 398, 820?\n\"Answer: 3*z**3 + 3*z**2 + 2*z - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -333\/1139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -396 bigger than -398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from vcpce.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 73529, 12, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5787315 divided by 3?\nAnswer: -1929105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (3 - 2)*6. Let l = -5617 + 5619. Solve 1 = l*z + 5*m - 4, g*m + 13 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6300*y**2 - 1478*y**2 - 1587*y**2 - 1628*y**2 - 1609*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) -2 (b) -19\/24 (c) 526\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**2 - 21*v - 22. Let m be k(-16). Let h be (-1*m)\/(2\/(-8)). What is h rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 732 - 5386?\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -68524.816 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(448)) - sqrt(448))**2.\nAnswer: 960*sqrt(7) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2. Let o(t) = 1846*t + 6. Let g(k) = 131069*k + 424. Let z(s) = 3*g(s) - 212*o(s). Give r(z(q)).\nAnswer: -3441025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -642, 83, 1292, 2985?\n\"Answer: 242*x**2 - x - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-6)*2\/(-2). Suppose -2*g - w = -5. Let q(v) = -22151*v - v**2 + 22151*v + v**3. Let n(j) = 2*j**3 - 5*j**2 - j. Give g*n(f) + 3*q(f).\nAnswer: f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-49)\/(h\/(h*h**(-3)*h))**(-10))**(2\/91) assuming h is positive.\nAnswer: h**(-58\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = y + 4, -2*q = -0 - 2. What is the common denominator of 47\/36 and y + 188\/18 + (-12)\/54?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 56 - 1249. Suppose -75 + j = 10*p. Calculate the greatest common factor of p and 576.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485\/84 - -41\/7. Let v(f) be the first derivative of 1 + 0*f - 1\/8*f**2 + k*f**3. Suppose v(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 43 - 29. Let i(d) = -9*d + 32. Calculate the least common multiple of b and i(-6).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvqvvqvqv. Give prob of sequence vv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250756*r - 250270*r - 171 + 1364 wrt r?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = -1. What is the closest to 0 in 5, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j + 312 - 790 + 268 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/791, -2252?\nAnswer: -2\/791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l - 7. Let i(h) = -2*h**2 - 12*h + 13. Let a(g) = 4*i(g) + 7*t(g). Let z be a(-6). Solve -u - z = -b, 0*u + 3*u + 5*b - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 21*y + 40. Let f be p(-2). Solve 4*z = f - 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/7 - 2277*m**3\/7 + 9141*m**2\/7 - 11439*m\/7 + 654 = 0. Calculate m.\nAnswer: -763, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000359736 rounded to 7 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-1)\/(-6) + (-11)\/30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:37 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000686011607 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*z + 5*z + 60 - 77 = 0, -q - 2*q + 7*z = 47 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 15*c + 27 = 0. What is the closest to 1 in c, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*c**3*q**2*z**3 - 720*c**3*q - 3*c**3*z**3 - 2*c**2*q**2*z**2 - c*q**2*z wrt z.\nAnswer: 1764*c**3*q**2 - 18*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14819911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 15. Let r(f) = 203123*f**2. Determine k(r(z)).\nAnswer: -1015615*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4370900 is divided by 38341?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362.15783 + 2108.15473. Let l = m + -1786. Let k = 40 + l. Round k to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4670840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 649 - 620. Suppose 3*m + 35 = g, -3*x + 3*m + 27 = 0. Solve 5*y - 17 = -x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 39*q**2 - 194*q - 135. Calculate the smallest common multiple of 150 and c(32).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 5. Let y(f) = f**2 - 1. Suppose -23 = -5*o + s + 4, 2*o = 2*s + 6. Let k(x) = o*y(x) - v(x). Find the first derivative of k(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*(((s**4\/s)\/s*s)\/s)\/s*s))**(4\/9)\/(s**(-1\/7)*s)**(2\/21))**(-9) assuming s is positive.\nAnswer: s**(232\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47.7 and 865.9339.\nAnswer: 913.6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 33. Let h be g(0). Let l be h\/42 + 3\/(-6). Which is smaller: l or 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h\/(h\/(h*h**(-1\/3)\/h))))\/h)**(-5\/8))**(-2\/113))**(-1\/5) assuming h is positive.\nAnswer: h**(-1\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 2*w + 2*w)*(-7 - 34841*w**3 + 34842*w**3 + 5*w + 710).\nAnswer: -2*w**4 - 10*w**2 - 1406*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -527588 (base 9) in base 7?\nAnswer: -2445215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191138 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 543\/680 + -36\/85. Suppose 0 = 3*u - 4*u - 1. What is the smallest value in -3, s, u, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-141)\/(-21) - 4\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225 + -135. Suppose 2*p + 2*p = 144. What is the highest common divisor of p and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 495*r**2 + 970*r - 240.\nAnswer: 5*(9*r - 2)*(11*r + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249077 is divided by 405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*q + 7*q. Let g be (-8)\/(2\/2 + q). Solve -g*y + 2 = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*j**2 - 450 + 450)*(0*j**2 - 3*j**2 - 2*j**2) + 2*j**4 - 5*j**4 + 4*j**4 as r*j**3 + f*j + o*j**2 + d + t*j**4 and give t.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -58171 (base 10) in base 9?\nAnswer: -87714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) - (sqrt(360)*1 - sqrt(360))) + sqrt(360))\/sqrt(12) - (-2*sqrt(240) - sqrt(240))\/sqrt(8))\/(sqrt(294)*-1 + sqrt(6) + sqrt(726)*-2).\nAnswer: -5*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328327005*v**3 + 144809895?\nAnswer: 984981015*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.2102 nanometers in kilometers?\nAnswer: 0.0000000004902102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.7 - 19. Let o = c - -1.7. Sort o, 1, 3 in increasing order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 203 (b) -0.1 (c) 5 (d) -4 (e) -838\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 2 - (-3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 7423.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400285 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189953 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0 - 3\/2*m**5 + 113\/24*m**4 - m**2 + 4\/3*m**3 + 36*m. Find u, given that c(u) = 0.\nAnswer: -1\/4, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 13*v = -420. What is the least common multiple of 54 and v?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261953 and 6?\nAnswer: 1571718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*h + 24, 11*b - 12*b + 18 = 5*h. Let a(q) be the first derivative of -8*q**2 - 4\/3*q**b - 12*q - 5. Factor a(x).\nAnswer: -4*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) -0.23 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28689\/70 - 2822\/7. Calculate the common denominator of -57\/35 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*o**3 - 1783*o**3 + 3585*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7)\/j)\/(j\/j**(3\/2))*j*j**(-3)*j*j*j**(2\/21))\/(j\/j**3*j\/j**(-2\/3))**(28\/3) assuming j is positive.\nAnswer: j**(305\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 - 13545*f**4 - 10476670*f**3 - 1697263830*f**2 + 10476675*f + 1697277375 = 0. Calculate f.\nAnswer: -1245, -219, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 14*r**2 + 52*r - 12. What is w(10)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117a (base 12) to base 9.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/463845 and 133\/612.\nAnswer: 5566140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/9)\/(w\/w**(3\/2)))\/(w*w**(-2\/13)\/w*w*(w\/(w*w**3))\/w))\/((w\/(w**(-5)*w))\/(w**(-3)*w))**(-2\/13) assuming w is positive.\nAnswer: w**(1133\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - 4*l**5 + 2*l**5 + 0*l**2 + 0*l**2 + 2*l**5 + (l**2 - 2*l**2 + 0*l**2)*(-2*l**3 + l**2 - l**2) - 2070*l**3 + 2070*l**3 + 47*l**5.\nAnswer: 49*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 136?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 214*f - 50. Give r(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*(-158875)\/7626\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034088 * -0.3\nAnswer: 0.0102264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m - 10. Suppose b - m*b = 0. What is the third derivative of 2 + b + 5*h**2 - 2*h**5 - 2 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39202, -153975, -345264, -613069?\nAnswer: -957390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 3, -15 in descending order.\nAnswer: 3, 0.1, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 103*s**3\/2 - 7*s**2\/2 + 305*s. Let u(w) = 154*w - 3. Let p(n) = -2*o(n) + 5*u(n). Let i(y) = -y. Calculate p(i(h)).\nAnswer: -152*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131485761?\nAnswer: 3, 11, 147571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-16)*10\/5)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose -y*s + 0 + 6 = 0. Let v be (-2 + 9\/6)\/(s\/(-24)). Solve -6*j - 6 = -v*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 7897?\nAnswer: -2369.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81558 and 48?\nAnswer: 652464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 30. Let w = i - 49. Calculate the remainder when (-6)\/(((-3)\/w)\/(-1)) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -366.52 - -366.82. What is the third biggest value in -0.886, j, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85890 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pcpgpgggpgpppccpgcpp?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692 and 46702?\nAnswer: 16158892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (39 + 0 - (-1 - -9))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5370\/17 + -316. Let r = -3.917 - 0.083. Which is the closest to 0? (a) 2\/9 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236.1*58\nAnswer: -13693.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 895?\nAnswer: 6265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 683998 to the power of 1\/2, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 27415\/3, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/7))**(2\/27)*n**25\/n**24 assuming n is positive.\nAnswer: n**(67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 7062764. Let v = q + 4994795. Let f = v + -10329104. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0 + (1 + 0 - 3)*(0 - 1 + 4))*(-326 - 359 + 960)*(3*n + 3*n - n) in the form s*n + x and give s.\nAnswer: -9625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j)**(7\/2)*(j\/j**0)\/j*j*j*j\/(j\/((j\/j**4)\/j))*j)**(-3) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*j + 34 = 10, 0 = 2*j + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -14, -0.09?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32990, 65950, 98914, 131882?\n\"Answer: 2*a**2 + 32954*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - 20*p**2 - 4*p + 18. Let y(a) = -a**3 - 5*a**2 - a + 4. Let q(i) = -2*l(i) + 9*y(i). Determine q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -48*b + 21. Let w(j) = 38*j - 20. What is 3*n(d) + 4*w(d)?\nAnswer: 8*d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4\/4 + 2*n**3 - 2*n**2 + 3*n - 3. Let b = 34190 - 34197. Calculate c(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 20 (b) -0.2 (c) 3\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 + 24*g + 48. Is z(-14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5715 and 57.\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1a0ed1 (base 15) to base 16\nAnswer: 135ceb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 46*n = 3. Suppose 5*x - 4*x = 0. Is (-2 + 3)\/(x - n) - -140 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 2*m - 1. Let d(v) = -3*v**3 - 10*v**2 + 16*v + 23. Let q(s) = -d(s) + r(s). Factor q(z).\nAnswer: 3*(z - 2)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100100001?\nAnswer: 100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 10*p + 126. Solve 5*m = p - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 2075400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 23. Calculate the common denominator of (-64)\/9 + (-1)\/(-3) and (k\/9)\/((-13)\/(-156)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpi when three letters picked without replacement from {i: 10, w: 1, p: 9}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {c: 2, w: 2, u: 4, j: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408*h**5 - 5*h**3*m - 57*h**3 + h**2*m + 99*h**2 - 24*h*m - 2*m - 13 wrt h?\nAnswer: -24480*h**2 - 30*m - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let r(z) = -1861*z - 3. Calculate r(g(c)).\nAnswer: -3722*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2210644 divided by 1105322\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o + 1655. Let j be z(-77). Solve 0 = 124*u - j*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 + 1438*a - 1226. Determine o(0).\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let v(o) = 154*o**2 - 2*o + 9. Suppose 0 = -9*b + 3 + 6. Let u(x) = b*v(x) - r(x). Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106553 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -43 - -47 - (-1609)\/(-9). Let m = n + 174. What is the common denominator of m and (-2)\/(-7) - (-26)\/(-7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = -22*h - 25770. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -52, -62, -76, -94?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -18*c + 10. Let g be 1*9*(-2 - -3). Solve -3*m + c = -g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from kkwwowwtkxyww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -34. Let s(o) = o**3 + 10*o**2 + 4*o - 1. Let g be s(p). Let l = 63 + g. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3072496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 2 + 2 - 4. Let n(j) = 5*j. Calculate y(n(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 201*x**2 - 86*x - 1392. Let c be o(100). Solve 5*h - 31*l - 12 = -34*l, h - 5*l = c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034446?\nAnswer: 2, 149, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 32*v + 0*v**5 + 0 + 1\/12*v**4 + 0*v**3 + 0*v**6 + 0*v**7 + 19\/56*v**8 + 0*v**2. What is the third derivative of g(h) wrt h?\nAnswer: 2280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = o - 538, -5*o - 7*i + 2660 = -3*i. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/19 + 15138*x**3\/19 + 150078*x**2\/19 - 438422*x = 0.\nAnswer: -7559, -29, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from zzfrfzfzzfrrz?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202602 is divided by 5242.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2. Let l(s) = -s - 2. Let t(n) = n + 3. Let r = 8 + -5. Let v(u) = r*l(u) + 2*t(u). Determine h(v(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44241.524 + -44281.824474. Let v = s - -40.3. Round v to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 33.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23956 - 0.21956. Which is the closest to 2.5? (a) -0.5 (b) 1\/7 (c) -2\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1008*h - 63. Let v(u) = -56446*u - 3507. Let x(i) = 167*g(i) - 3*v(i). Let o(t) = t. Give x(o(f)).\nAnswer: 1002*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321719474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 + 74 = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1125323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v + 13*v - 2*v**3 + 5*v**3 + 2. What is the tens digit of c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51898 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:58 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 12*j**2 - j + 5. What is v(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28039 - -0.01961. What is the third smallest value in 2, p, 1, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + 5*t**3 + (4 - 4 - 1)*(0*t**3 - 2*t**3 + 4*t**3).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g - 7*g + 25*g + 36 - 36.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 - c**4\/6 - 2*c**3\/3 + c**2. List the prime factors of l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0067087*0.4.\nAnswer: -0.00268348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267886671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 58*q - 59*q + 49, 5*q = -3*p + 137. Calculate the highest common factor of p and 10197.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 37. Suppose 0 = -2*b + 2*q - 54, 0 = -5*b - 2*q - 3*q - 85. Let f = 1 + b. What is the units digit of r(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2436, 10056, 22900, 40980, 64308?\nAnswer: 92896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23628*f*l**3 - 34745*l**3 wrt f?\nAnswer: 23628*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21422254 (base 6) to base 15.\nAnswer: c9cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 38. What is w(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*r - 3 + 57. Let o be 0 + -1 + (-30)\/(-38). Is o bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/7)\/(3\/(-38)). What is the units digit of (3\/(-3))\/((-1)\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 633477?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/7 (b) 7 (c) -9\/8 (d) -1797 (e) -4 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 21 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60714 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-6)\/(-4)*6). Let k = -355.4 + 353.4. Which is the nearest to -0.5? (a) 3 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 40 - 16 = -4*x, 0 = -5*h - 5*x - 70. Let k(f) = -2*f - 6. Let y be k(5). Is h > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 35, 0.5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 25, 0 = 5*s - 4*z + 48 + 112. Let d(v) = 9*v + 5. Let w(c) = -c + 1. Let i(x) = -d(x) + 6*w(x). Let u be i(2). Is s <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from ubuubbuuuuuuuubbubuu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 0.4*1472\nAnswer: 588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 356614 (base 7) in base 9?\nAnswer: 107777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -9, 4, 0.004?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0069*-0.1147573\nAnswer: 0.00079182537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1958\/2225*(-40)\/(-44).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 - 4) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5772, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106.8 + 499.2. Let f = b - 602. Sort f, -3, -4, 2.6.\nAnswer: -4, -3, 2.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 50. Suppose w - 296 = -0*w + t*q, 1234 = 4*w + 5*q. Is w a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109809311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1033133303?\nAnswer: 1033133301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7162924kg to nanograms.\nAnswer: 716292400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035345 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/2 + 14*d**3 - 8*d**2 - 120*d - 72 = 0.\nAnswer: -2, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from {e: 1, c: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110010 + 0?\nAnswer: -100100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*o, -2*d + 8*o = 7*o + 9. Let a = d - -994. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15\/((-30)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004858 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**2*(z\/(z**(1\/7)*z))\/(z\/z**(-1\/4)*z)*((z*z**(1\/12))\/z**(-1))\/(z**(-2\/21)*z**(-1\/2)) assuming z is positive.\nAnswer: z**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -14*x**6 + x**5\/30 + 914*x**3 - 3*x**2 - 5*x + 152. What is the first derivative of a(t) wrt t?\nAnswer: -5040*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)\/(2\/(-8)). Solve a*f = r - 0*r + 4, 2*f = -r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 2*n - 1. What is the remainder when z(2) is divided by 5 + 12\/((-8)\/(-2)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -24*m**3 - 12*m**2 - 6*m - 6. Let r(h) = -47*h**3 - 26*h**2 - 13*h - 13. Calculate 13*g(c) - 6*r(c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 50913737?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = 2*d, 3*d = -2*v + d - 4. Let l(t) = -3*t + 20*t**v - 1 + 3 - 19*t**2. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*f + 5*f + 18*f**3 - 80 + 156 - 40*f**2 - 80.\nAnswer: 2*(f - 1)**2*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*d - 12, 4*d + 2 = j - 1. Let l = 17 - 15. Suppose -5*g + 111 = -j*v - 69, 0 = l*v. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -4*sqrt(132)*-2 - sqrt(132))\/sqrt(12) - (-1*4*sqrt(1331))**2.\nAnswer: -21296 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*d + 2 = 0, -3*b = -d + 5*d + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 9 - i**4 + 8 - 15 to the form k*i**2 + h*i**3 + a + o*i + f*i**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 29*o + 67. Suppose -6 = -z - 2*h, z + 0*z - 20 = 5*h. Calculate the remainder when d(-6) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-19)*(3\/(-315))\/(3*11\/(-99))\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17334+-497.312192\nAnswer: 16836.687808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:17 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -338.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*g - 9. Let i be (-201)\/(-18) - g\/6. Find the second derivative of -14 - 28*q**5 + 6 + 8 - i*q wrt q.\nAnswer: -560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113458659 to the nearest integer?\nAnswer: 10652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 398.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -899\/2 - -459. Let t = -11337018328 - -104504634755461\/9218. Let d = 2\/13827 + t. Calculate the common denominator of f and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:37 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -180774, -3, -1?\nAnswer: -180774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.354534497473 - -2960402.645589502527. Let s = 2960381 - t. Let y = 22 + s. Round y to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2 + 2 - 8 - t + 7. Calculate w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 38, -120, -5, 58 in descending order.\nAnswer: 58, 38, 4, 1, -5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 52*b**4 - 13*b**3\/3 - 6438*b + 9065. What is the derivative of o(h) wrt h?\nAnswer: 624*h**2 - 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -975*45\/60*-12.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*j + 61*j + 749 + 8*j as v*j + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 2619 in descending order.\nAnswer: 2619, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9010 + -9005. Solve -63*y + 61*y - 10 = 0, -4*y - 5 = r*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 5480*n\/13 + 242550\/13.\nAnswer: 2*(n - 2695)*(n - 45)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + sqrt(448)*3)**2 + sqrt(448) - sqrt(448))*4.\nAnswer: -384*sqrt(7) + 32264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let a(m) = 11250*m**2. What is a(l(u))?\nAnswer: 45000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6421*q = -6412*q - 72 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 + 8*t - 5. Let o be l(8). Let z = o - -49. Is 8\/z - 27\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*p**2\/4 - 185*p\/4 + 15.\nAnswer: 5*(3*p - 4)*(7*p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1899 + j**2 - 327*j**5 + 6*j**3 - 1949 - 4*j**3 wrt j.\nAnswer: -19620*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (10 + -5)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*w = 67, l - 16 = -3*w + 22. Suppose 0*b - l = -b. Solve 0 = 3*g + b - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566403609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/60)\/((-55)\/176)*(-10)\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 - 2044*s**2 - 19*s - 5354. What is f(-292)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.14 - 0.86. What is the biggest value in 0.02, s, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:10 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39232, 314072, 1060294, 2513662, 4909940, 8484892, 13474282, 20113874?\n\"Answer: 39294*n**3 - 73*n**2 + n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 - 22 = 0. Suppose 31*a - 40*a = -477. Calculate the remainder when a is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8378, 12483, 16588?\n\"Answer: 4105*b + 4273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:31 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Let k = r + -4. Suppose -c = -k*c. Sort 4, c, 2.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*z + 50*z = -252*z - 23980 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(6*sqrt(32)) + (sqrt(242) - (1 + 2*sqrt(242))))**2.\nAnswer: 131*sqrt(2)\/6 + 17233\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l\/(((l*l\/l**(23\/2)*l)\/l)\/l)*l*l))\/l)\/l*l)\/(l**(3\/8)\/l))\/(l**(2\/71)\/l**(-18\/11)) assuming l is positive.\nAnswer: l**(-84595\/6248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 138.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -301226\/15 or -20083?\nAnswer: -301226\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 63 = 66 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = 29*h + 12545. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {s: 1, p: 4, r: 1, x: 1, o: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -43, 5 in ascending order.\nAnswer: -43, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14682859 divided by 21?\nAnswer: 14682859\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpelpe. What is prob of picking 1 p and 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33\/10 (b) 0.4 (c) -9 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -383 + 388. Suppose 0 = g*q - 858 + 173. What are the prime factors of q?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2354 + -1340. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a factor of 2243886372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/20*(1 + 0). Which is the second biggest value? (a) 3\/5 (b) 2 (c) -1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhojh. What is prob of sequence fhj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 8. Let g be u(-11). Is (g\/6)\/((-4)\/144) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**(-1\/7)*a*(a**(3\/7)\/a*a)\/a**(-2\/7))\/((a*a**1\/a)**(-2\/137)*(a\/(a**(-5)*a))\/a**(4\/5)) assuming a is positive.\nAnswer: a**(-29863\/9590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2163446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa2 (base 14) in base 8?\nAnswer: 16646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.4, 0.1, -0.3, -87\/11 in increasing order.\nAnswer: -87\/11, -0.4, -0.3, -0.05, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15309071, -15309073, -15309075, -15309077, -15309079?\n\"Answer: -2*j - 15309069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -711*l - 6579. Calculate f(-9).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-6)*(-7)\/(14\/(-1812))?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31644 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*a = -2*l + 4, 20 = -3*l - 2*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12492 + 12491.7. Let y be 1 - (1 + 6\/(-16)). What is the fourth biggest value in y, 2, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.696 - 12.6959963118. What is i rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2 + 2)*(2*d**3 + 2*d**3 - 5*d**3) - 3*d**5 + 3*d**5 - 3*d**5 + (-d**2 - 8*d**2 + 3*d**2)*(-2*d + 2*d + 2*d**3) + 4*d**5 - 4*d + 4*d.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:26 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -2. Let a(s) = s - 1. Let c(z) = -4*z - 4. Let d = -25 - -22. Let n(l) = -l - 1. Let q(k) = d*n(k) + c(k). Give o*q(i) - a(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5360 and 15793776?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43955489.96 + -553874.96. Let c = 43401609.5000049 - g. Let z = 5.5 + c. What is z rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qczwywy. What is prob of sequence zw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -0.9. Let b = -46 - q. Let k = b + 46.9. Which is smaller: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (18 + -3)\/(-2 + 52\/8). Sort 5, n, -0.4, 1 in descending order.\nAnswer: 5, n, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.185 (b) 0 (c) 7\/4 (d) 1 (e) -3\/4 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 - 15868*q**3 + 268984*q**2 - 1517520*q + 2844000 = 0 for q.\nAnswer: 5, 6, 3950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241 + -235. Do x and 0.07 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (95 + 7 + 9)\/(6\/76). Suppose q + 652 = 21*b. Calculate the highest common factor of 882 and b.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z**2. Let r(x) = x. Calculate r(o(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 92*y**2 + 159*y - 64. Let c(b) = b**3 + 31*b**2 - 53*b + 21. Let g(z) = 17*c(z) + 6*o(z). Factor g(f).\nAnswer: -(f - 1)**2*(f + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 2314278.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*b + 38*b + 219. Suppose -b = 10*f - 63. Which is smaller: f or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + 4 = 0, -4*r + 21128 = 5*c. Let w = c - 25255\/6. Suppose -22 = -6*y + 4*y. What is the common denominator of y and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57929 + 26?\nAnswer: 57955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4925517155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -140 + 646. Suppose 41*z - t*z - 45 = 0. Let v(p) = p**3 + 7*p**2 - 17*p + 3. Calculate v(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41328 is divided by 1252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*w - w, 19 = 2*n - 5*w. Suppose -4*k + 21 = -n. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + -3 + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 - g**2 + g**2)*(g - 1 + 1) + 3*g**3 + 3*g**3 - 5*g**3 - 3 + 22567*g**3 - 22096*g**3 + 3 to the form h*g**3 + t*g**2 + n*g + i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + -3 + ((-4*(sqrt(176) + sqrt(11) + sqrt(11)))**2 - ((sqrt(88) - sqrt(88)*-2)\/sqrt(8) - sqrt(11))**2) + 1.\nAnswer: 6290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:45 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 2*g**3 + 0*g**3)*(724*g - 352*g - 293*g).\nAnswer: 237*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 43. Determine j(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -20, -4*q - 1 + 2 = 3*l. Let n = l - 5. Suppose -31 = -5*s + 3*c, 30 = -2*s + 6*s - 5*c. Sort n, s, -4.\nAnswer: -4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6898\/23 - 300. Let z = 21 + -22. Let l be -5*(-10)\/25 + z. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let j = 132.5 + -130. Let s = j + b. What is the third smallest value in s, 8, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:07 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-21)\/(-3))\/(-2). Suppose -t - 159 = 3*q + 25, -4*q - i*t - 260 = 0. Let v be (2\/(-4))\/((-10)\/q). Is v >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3*2)*(-3 - 9). Suppose 6 = -r*t + 42. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -64. Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*j + 22. Suppose z + 27 = 4*z. Let p = j - z. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9*(-13 - (-14 + -17)). Solve 9 = -4*d - 3*p + 2*p, h*d + 4*p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 70*n**2 - 948*n + 196. Calculate l(18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 - -4) + 16. Let k = p + -26. Let t = 19 + k. Calculate the least common multiple of 6 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y + 20 = -51*y. Solve 0 = -y*z + 2*l, -4*z + 2*l - 3*l + 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165380.9ms to seconds.\nAnswer: 165.3809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*z + 277, -4*v - 218 = -398*z - 404*z + 804*z for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1442*t - 1440*t + 2 + 4*t**2 + 0*t**2)*(t**3 - 4*t**3 + 4*t**3).\nAnswer: 4*t**5 + 2*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -102307620 take away 5.8?\nAnswer: -102307625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3923.70892 + 3913.71. Let f = 10 + x. Round f to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 5*s + 6. Let o be p(-4). Let q(d) = 4*d + d**o - 4 + 5 - 6. What is the smallest common multiple of q(-7) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33386 and -0.10253?\nAnswer: -3423.06658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 times 0.16917359?\nAnswer: 0.0778198514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2253395 and 9160943.\nAnswer: 11414338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34\/68)\/(1\/2)*-1253*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -1, -4.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-1))\/(((-75831)\/(-314))\/(-69)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30450793 + -18267547. Suppose 2*c - 22816754 = u. What is c rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 6 - (6 + -30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 6*q**3 - 11*q**3 + 6*q**3)*(-31 + 69 + 57).\nAnswer: 95*q**3 + 475*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let j(g) = -1 - 3 - 2 + g**2 + 6*g. Let m(v) = j(v) - 6*l(v). Let o(f) = 3 - 3 - f. Give m(o(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 9*j**2 + j + 12. Let b be h(9). Let f = b + -2. Calculate the least common multiple of f and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/7 (b) 4 (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1550*v**2 - 3035*v**2 + 1531*v**2 - 3.\nAnswer: 46*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366513 by 17453.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3 + 0*n + 7 + 3*n**2 - 2*n**2 + 3*n. Let t be u(-4). Suppose o - 3*o + 5*x + 32 = 0, 2*x + 80 = 5*o. Calculate the highest common factor of t and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 4*q - 4 = 33*r, -4*q = 3*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 184 - 181. Let c be (g\/104)\/((27\/6)\/3). Suppose 0*t = 3*t - 3. Are c and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 12249218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t. Let i(k) = 29*k - 42. Let v(m) = i(m) + 5*o(m). Let c be v(5). Let z be (-4)\/2 + (-80)\/(-22). Which is bigger: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*y**2 - 82*y**2 + 70*y**2 - 11*y to h*y + p*y**2 + s and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -6*o + 21. Let a = o + 22. Let l be 8\/(-23)*2\/4. Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/21 - 25\/42. Let k(o) be the third derivative of 0*o - 1\/3*o**3 - h*o**4 + 0 - 4*o**2 - 1\/30*o**5. Factor k(w).\nAnswer: -2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z = -0*z - 6, -3*v + 34 = -5*z. Solve u = -x - u - 7, 0 = -2*x + v*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 - 2*u - 2*u + 3 - u**2. Let p be g(-3). Suppose 388 = p*n - 336. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 303 = 180. Suppose x + 4*h - 6*h - 1 = 0, 5*x = 4*h + f. Solve 4*j + 8 = -3*o, -2*j - x*o = -3*o + 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/77 and -12\/9264073.\nAnswer: 101904803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 s when three letters picked without replacement from {n: 1, m: 1, r: 4, s: 1, t: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 7355.32?\nAnswer: -3677.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(275) + 1)**2*1.\nAnswer: -828 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 - -55355?\nAnswer: 55552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3405642 and 32\/39164883.\nAnswer: 78329766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/533 or 1?\nAnswer: 1\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 6. Let b = t + 119. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8307 - -8308. Are -1\/7224 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose -5*j + 0*j = b. Suppose 5*u + 34 = -3*p, -4*p + u = -5*p - 8. Sort j, -4, p in increasing order.\nAnswer: -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(16\/7)*z**(-1\/5) assuming z is positive.\nAnswer: z**(73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:17 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191038 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -35.15516\nAnswer: 175.7758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-864))\/((-126)\/(-112)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-63)*((-728)\/48)\/(-13)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -347 - -263 - (-81 + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 39*w - 265. Determine d(-33).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26305914?\nAnswer: 2, 3, 53, 82723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, -62, -190, -368, -596?\n\"Answer: -25*z**2 - 3*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Let y be (j\/12)\/((-2)\/(-51)). Let k = y - 9. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16 + 73*i**3 - 17 + 20*i**2 - 18*i**2 wrt i.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**2\/2 - 5. Let p(m) = -2*m**2 + 5*m**2 - m**2. Determine i(p(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 73*t**2 + 128*t - 658. Give q(5).\nAnswer: 1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7194749, 14389499, 21584249, 28778999, 35973749, 43168499?\n\"Answer: 7194750*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r + 2*r - 4*r + (-4 - 2 - 3)*(4*r + 0*r + r).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 2614, 8770, 20736, 40444?\nAnswer: 69826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 minus 523369921078?\nAnswer: -523369921044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t + 86*t - 1471*t**2 - 25*t.\nAnswer: -1471*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 35*j + 286. Let i be p(-22). Solve i = q - 4*m + 5, m = -5*q - 24 - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8, -6*m + 3*c = -3*m. Suppose -4*s + 16 - m = 0. What are the prime factors of -1*s*14\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1297, 1300, 1303?\n\"Answer: 3*g + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022203232 (base 4) in base 6?\nAnswer: 10313502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 383 (b) 4 (c) 1\/470 (d) 3 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 7) in base 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.274 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/14 + 480\/105?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 2. Let j be c\/16*160\/(-2). Let v = -20 + j. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let z(x) = -6*x. Let b(d) = -9*w(d) + z(d). Let v = -375 - -373. Calculate b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -2\/7, -3\/14 in increasing order.\nAnswer: -2\/7, -3\/14, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1887\/209 - 175\/19. Suppose -2*z + 2 + 4 = 4*i, i + z + 1 = 0. What is the closest to 0.2 in i, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 1.825955347?\nAnswer: 1.174044653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, 31, 1, 13 in descending order.\nAnswer: 232, 31, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*d**2*o*q + 2*d**2*q*r - 17*d*o*q*r + 2*d*q*r - 1413*d*q - 22*o*q*r + q*r + 11*r - 2 wrt o.\nAnswer: -22*d**2*q - 17*d*q*r - 22*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.12?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (8 + -11 + 24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0 + 2*u**2 + 20*u + 11\/12*u**4 - 1\/2*u**5 + 8\/3*u**3. Factor l(d).\nAnswer: -(d - 2)*(2*d + 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 70723.\nAnswer: -7072.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823408.3m to micrometers.\nAnswer: 823408300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 16. Let t = 2447 - 2444. Calculate k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 10*l - 45. Suppose 0 = -4*k - 0*k + 8, l*f = k + 418. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2*l + 5. Let z be m(0). Suppose g = z*v - 140, 0 = 5*v - 2*g - g - 150. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 17. What is o(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - r**2 + 2*r**2 + 0*r**2 - 2*r**2 + r**2 + (2*r + 0*r - 4*r)*(1 + 2*r - 1) - r**2 - r**2 - r**2 + (2 - 2 - r)*(-3 - 2*r + 3).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -673, -659, -629, -577, -497?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282*n = -1285*n - 18, 0 = -2*r - 5*n - 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - (0 + -2))*(-8)\/(-18)*-6. Solve -3*x + 2*k + c = 45, -x + 12 = 3*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -24*w - 12. Let s(r) = -8*r - 4. Let n(c) = 8*s(c) - 3*x(c). Let d(q) = -9*q - 5. What is -4*d(z) - 5*n(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 + 13*t + 51. What is n(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14*k + 27. Let z be x(12). Calculate the highest common factor of z and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**2 + 7*a - 2. Let m(h) = 5*h**2 - 6*h + 1. Let u(x) = -4*l(x) - 5*m(x). Let g be u(-4). Let d = g - -121. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - 8 + 2 - 7*k**3 + 7*k**3 + k to w*k**2 + f + g*k**3 + h*k**4 + q*k and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffyyyyyyyyyffyyyyyy?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.29 + -19. Let r = 0.28949 - t. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.60816, 20, 2 in decreasing order.\nAnswer: 20, 2, -1.60816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 22. Let x be (36\/(-144))\/(4\/128). Let f be a(x). Let 72\/7 + 2\/7*r**f + 24\/7*r = 0. Calculate r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1373 + 1421. Calculate the greatest common divisor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(75) + -3 + 1.\nAnswer: -15*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 - 2*r - 5. Let w be b(-4). Which is greater: 48 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 21, 122, 307, 594, 1001, 1546?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 153502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10672959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3567480 and 2140488.\nAnswer: 10702440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198*a**2 + 93*a**2 - 13 - 2*a + 74*a**2 + 0*a + 0*a - 2*a**2 + (a - 2*a + 0*a)*(0*a - 3*a + a) - a**2 - 4 + 4.\nAnswer: -32*a**2 - 2*a - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -83*o - 1. Let n be u(-3). Let g = -305 - -86. Let j = n - g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -30) + -3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4401768?\nAnswer: 2, 3, 7, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*o, 3*o - 7 = 3*s - o. Let j be 16\/6 - (-2)\/(-3). Let g = 0.1 + -1.1. Which is the nearest to g? (a) s (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -956, -1421, -1868, -2291, -2684, -3041, -3356?\nAnswer: -3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 25*v + 17*v + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33579, -134316, -302213, -537270?\nAnswer: -839487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - 2. Let l(t) = 4*t**3 + 2*t**2 - 5. Let a be (-10 - 1) + 2 - 5. Let q(o) = a*b(o) + 4*l(o). Determine k, given that q(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90db88 (base 14) in base 9?\nAnswer: 10154764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*p - 2*p. Suppose -2*t = -5*s - 7, -p = t - 5*t - 3*s. Suppose 96 + 24 = t*f. Solve -2*r - 5*c + f = 3*r, 2*r - 8 = -4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*z - 617*z - 149*z - 318*z - z**2 + 3*z**2 as b + y*z**2 + o*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 5*u**2 - u - 2. Let j be f(2). Suppose -4*h + 28 + 4 = -p, -4*h - 5*p + 32 = j. Solve -12 - h = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -15, 2 in ascending order.\nAnswer: -15, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*u - 1. Let s be u\/(-8)*-6*3\/(-3). Solve -4*p - 9 = -5*r, s*r - 2 = 4*p - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 27, 76, 163, 300, 499, 772?\n\"Answer: 2*n**3 + n**2 + 6*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7*t**6\/120 - t**5\/10 - t**4\/4 + t**2. Let i(z) = z**2 + z. Suppose 0 = -10*f - 298 + 238. What is f*i(x) - m(x)?\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k*v**2 + k*v + 176*v**2 with respect to k.\nAnswer: -8*v**2 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h, 3*b + 0*h = h + 60. What is the remainder when 49 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4383200 and 1643700?\nAnswer: 13149600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 30*m - 11. Let g be (-62304)\/29854 + ((-8)\/(-46))\/2. Determine i(g).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152, -47, 58, 163?\n\"Answer: 105*q - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 635 + 699. List the prime factors of m.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**5 - 46970*g**4 + 110402845*g**3 - 440108980*g**2 - 1766446800*g + 7053768000 = 0.\nAnswer: -4, 4, 4695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1512) - (sqrt(1512) - sqrt(1512)*1) - sqrt(1512)) + sqrt(1512))\/(2*sqrt(294)))**2*6*6.\nAnswer: 324\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628542129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/(d*d*d\/d**(2\/9)))))\/d**(2\/37) assuming d is positive.\nAnswer: d**(-943\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 3. Let n(i) = -10*i - 15. Let f(a) = 2*n(a) - 11*t(a). Let q be f(-6). What are the prime factors of (-1 + 0)\/(q\/189)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 = 8. Let d = o - 4. Sort 3, d, -5.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + 2*g + 1. Let m be l(-1). Solve r - 25 = -b + m*r, b - 3*r = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - j**5 - j**5 + (-1 - 6 + 1)*(-j**5 + 2*j**5 + 0*j**5).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 289470.6 milliseconds in seconds?\nAnswer: 289.4706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 24*f + 40 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1824 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 81002*s - 81001*s - a, -6*s + 4*a = 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 250992*x. Let t(q) = 3*q. Determine t(p(r)).\nAnswer: 752976*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -216. What is the lowest common multiple of 6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200751 is divided by 239.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2080585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53 + 7*j**3 - 47*j**3 - 17 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2832499 (b) 2\/9 (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -223.77 - -3.32\nAnswer: -220.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 + -3 - -2. Suppose 5*f - 7*f + 62 = 4*c, -3*c + 62 = q*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d - 3. Let y(n) = -37*n + 272. Calculate 9*o(l) + y(l).\nAnswer: 26*l + 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4b958 (base 15) to base 2\nAnswer: 111011000001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*j**2 - 2*j**2 - 7*j**2 to z*j + p*j**2 + a and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-18)*(345 + 2)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 6, z: 5, j: 3}. Give prob of picking 2 n and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Let g be (-2)\/6 - 637\/(-3). Suppose y*w + w - g = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11189)\/2338)\/((-5)\/70).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 + 3*h - 5. Let b(v) = -8*v**3 - 3*v + 6. Give -5*b(n) - 6*t(n).\nAnswer: -2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154154414 - -3?\nAnswer: -154154411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 629 and 136.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/4 - 3113*h**4\/2 - 9527141*h**3\/4 + 127659991*h**2 - 679879149*h = 0. Calculate h.\nAnswer: -3139, 0, 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 331, 2333, 7751, 18289, 35651, 61541, 97663, 145721?\n\"Answer: 284*w**3 + 4*w**2 + 2*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 2*f - 3*f - 11 - 4*f. Let w be q(8). Let c = w + 37. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 + (-18550)\/250)*(-5)\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 0, -4.\nAnswer: -4, 0, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43887 plus 0.5?\nAnswer: -43886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -f, 2*t - 2 - 31 = -5*f. Let p(s) = 0*s + 103 - 108 + f*s + s. What is p(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2033.000403 + -2033. 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: Solve 442*f = 437*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.48, 0.15, 5\/2, -2\/3 in decreasing order.\nAnswer: 5\/2, 0.15, -0.48, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -628, -4, -3021 in ascending order.\nAnswer: -3021, -628, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2. Let m(f) = -6*f. Let n(g) = -19*g. Let p(d) = -11*m(d) + 4*n(d). What is l(p(a))?\nAnswer: 400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000200664 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 5*s - s**3 + 0*s)*(-s + 0*s + 0*s + (2*s + 4*s - 2*s)*(-1 + 4 - 1)).\nAnswer: -7*s**4 - 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + 21 + 169\/(-13). Solve 17*j - u = -89 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/(-2240)*(-23)\/805*-28.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 7*v - 30279 = 3*r, -3*r + 30297 = -3*v. What is v rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q**2 - 53*q**2 - 97*q**2 - 75*q**2 - 13 + 119*q**2.\nAnswer: -177*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 10*h**2 - 6*h - 24. Let l be y(-5). What is the greatest common factor of l and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167146*s = 167145*s + 10 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64407653 and 1307.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*q - q - 440*q - 398*q.\nAnswer: -639*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Let p(x) = -9*x + v - 6 + 2. Give p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837561 = -96*f + 2525607. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + 18)*(7 + (-1410)\/200)*1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*f**2 + 3805*f - 2*f**2 - 3819*f wrt f.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.86 + 53. Which is smaller: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46404266.\nAnswer: 2, 23202133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(605) + sqrt(605)*1 + sqrt(605) + (2*(-1 + sqrt(605)) - sqrt(605)) + -1 + 0)**2 + 0).\nAnswer: -176*sqrt(5) + 19362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1141\/9990?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/4317, 3\/2, -695.71?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*q**2*v - 2*f*q*v - 8486*q**3*v - 16*q**3 - 56675*q*v - 2*q wrt q.\nAnswer: 2*f*v - 50916*q*v - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 418236318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 21*x**3 + 9*x**2 + 9*x - 15. Let f(s) = 11*s**3 + 5*s**2 + 5*s - 8. Let z(b) = -9*f(b) + 5*w(b). Find the first derivative of z(v) wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4 + 4\/3*s**3 + 0*s**2 + 4 + 4*s. Let k(q) = 17*q**3 + 17*q**2 + 17. Calculate -2*k(v) + 9*u(v).\nAnswer: 2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 662694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 580243501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18195000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*f + x - 63, 2*f - 2*x + 58 = 0. Let k = 37 + f. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*5\/(-1))\/(-1). Suppose 0 = u*t - 3*t - 24. Let z be (-30)\/4*(-8)\/t. Solve -z*f = 2 - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r + 21 + 68*r + 96 - 35*r.\nAnswer: -2*r + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/69120*-24*-4.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - ((15 - (7 - -15)) + -1 + (-8 - -2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/36 - -2\/9. Let m = -67.44 + 67.54. Which is the second biggest value? (a) 0 (b) 2\/7 (c) x (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + 12 + 7 + 1 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 18*r + 76. What is i(0)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from bbbbbbbibbibbibb?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**2))\/(q**(-2\/15)*q*q)*(q*q*q**(-1\/4)*q)\/(q*q**6*q)*(q**1)**(2\/63)\/((q\/((q\/((q*q\/q**3*q)\/q)*q)\/q))\/(q\/q**1)) assuming q is positive.\nAnswer: q**(-11447\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((51*v + 21 - 21)*(-3 + 3 - 2*v) + 5*v - 5*v + 4*v**2)*(3*v - 9*v + 0*v**2 - 2*v**2) to the form u + q*v**3 + t*v + k*v**4 + i*v**2 and give q.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -5, 134 in decreasing order.\nAnswer: 134, 36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 - 20*o**3 + (0 + 0 + o)*(2*o**2 - 2*o**2 - 3*o**2) + 5*o**3 - o**3 - 2*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 39176772*m + 127901622028332.\nAnswer: 3*(m - 6529462)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397 by 77934.\nAnswer: -397\/77934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*x = -58 + 20, -2*x - 24 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2 + sqrt(70))\/sqrt(10) - -4*sqrt(21)\/sqrt(3).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -1 (c) -2\/9 (d) -1\/4 (e) 5 (f) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2745 and 1202737?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 2*q**2 - 2. Let p be (-3)\/1 - (8\/(-4) + 2). Let c(b) = -2*b**2 - b**2 + 0*b**3 + 2 + 4*b**3. What is p*k(d) - 2*c(d)?\nAnswer: d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 793788*t**4 - 128*t**3 + 425142567*t**2.\nAnswer: 19050912*t - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 7) in base 4?\nAnswer: 22313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-15 - 14) + -8?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**3 - 3*c**3 - 4324 + c + 4497 - 5*c**3 - 5*c**4 + 39*c**2 + 5*c**3 wrt c?\nAnswer: -60*c**2 + 12*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -809*i. Let n(a) = -2*a. What is h(n(j))?\nAnswer: 1618*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.595406 from 32479.\nAnswer: 32485.595406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23279.63 years in centuries?\nAnswer: 232.7963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v - 2. Let l = -68 + 66. Let d be i(l). What are the prime factors of 1 + 24*4\/d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4 + (-5000)\/833. Let r = 22555\/26656 + m. Calculate the common denominator of 149\/36 and r.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g - 5*f + 27, -5*g - 3*f = -29. 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 281861190 divided by 21681630?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52.83871 - 149.83918. Let h = n + 97. What is h rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 1\/4*i**4 + 7\/3*i**3 + 7*i + 1 - 5\/2*i**2. Is 14 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:35 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let r(x) = 3*x - 15. What is -2*c(z) - r(z)?\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l - 18. Suppose 2*z - l = -1. Suppose -z*k = -23 - 5. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*o - 16, -4*o = -o + 3*t - 6. Let n(p) = 7*p + 22. What is the units digit of n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80319082 divided by -3492134\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, y: 1, u: 1, v: 1}. Give prob of sequence pu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m = -53*m. Is 7 a factor of (4 - -82)*(m + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 23. Which is the nearest to -1\/3? (a) j (b) 1\/6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*b**2 - 50*b**2 + 93*b**2 - b**2 - b**2 + 0*b**2 + (1 - 1 + b**2)*(3 + 2 - 7) - 95*b**2 - 99*b**2 + 77*b**2 in the form g*b + l + x*b**2 and give x.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:58 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -577\/6 + 227903\/2370. Let p = s + 804\/2765. Let l be (1\/7 - (-136)\/(-168))\/1. Which is the closest to -0.1? (a) 0 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-6)\/(-12) - 5\/15). Is -37 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or 623\/3?\nAnswer: 623\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*d - 110*d - 106*d - 99*d - 108*d + 220*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*b - 1856, -5*z + 2196 + 2348 = 2*b. Calculate the remainder when z is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 + 0*l**3 - 5*l**2 - 1 - 1 - l**3 + 3*l**4 in the form o*l**3 + x*l**2 + t*l + u*l**4 + v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h**2 + 15*h - 15*h)*(4 + 2 - 3 + (6 - 2 - 3)*(-4 + 2 + 1) - 3 + 1 + 4 - 3 + 0 + 1 + 780 + 110 + 8) in the form b*h**2 + s*h + q and give b.\nAnswer: -4500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 0.04, 64, -0.3, -37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 2:39 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 59, 83, 87, 65, 11?\n\"Answer: -i**3 - i**2 + 48*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/4 - (-2)\/8. Suppose -33 = -y - h, -n*y - 2*h + 138 = -3*y. What is y rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r + 22327 - 99157 - 203870. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2884009*u**4 + 1776692*u**2?\nAnswer: 69216216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -2\/7 (c) 4 (d) 0.2 (e) -0.2 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5422, 2\/17, 0.1 in decreasing order.\nAnswer: 5422, 2\/17, 0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 13*d + 1. Let r(g) = -g - 1. Let i(f) = -5*r(f) + x(f). Give i(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 120\/4 + -1. Suppose -76 = -4*l - 4*b, 0 = -4*l - b + k + 40. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 93.19061t?\nAnswer: 93190.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2375, -246\/7, 3 in increasing order.\nAnswer: -246\/7, 3, 2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2810477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g**2 + 2*g - 6. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 = 3*f - 5, 18 = -f + 4*l. List the prime factors of 3*2*(-1)\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38 and -111\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-6)\/24*0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1.12\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-10) - 4\/2. Suppose 0*t - 10 = -w*t. Suppose 2*h = 2, -t*z + 814 = -0*h - h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6999, -1, 25, -5, 4, 5 in descending order.\nAnswer: 25, 5, 4, -1, -5, -6999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/33 and -17\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.41512 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 1536725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.76 to 0 dps.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:50 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645735, -1291469, -1937203?\nAnswer: -2582937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.277 - 0.077. What is q rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -734, -2\/3, 0.7, -1\/4, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2415172\nAnswer: -5\/2415172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -27112835.\nAnswer: -1\/27112835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*c + 12 = 6*c, 2*t - 9 = 5*c. Let v(j) = -57*j**2 + 329*j**2 - 802*j**t. Let r(q) = 2*q. What is v(r(d))?\nAnswer: -2120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 6:16 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + 10\/(-35). Let m(d) be the third derivative of 0*d**7 + 0*d**3 + 0 + 0*d**6 + 0*d**4 + v*d - d**2 + 1\/336*d**8 + 0*d**5. Solve m(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 91*l + 22*l + 18*l + 26*l - 44*l**2 + 27*l + 2 in the form g*l**3 + f + n*l**2 + y*l and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -568649934.\nAnswer: -568649933.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 12*j**2 - 27*j + 27. Let m be n(14). Let b = -43 + 7. Let f = m + b. Solve -3*g - 6*q = -2*q + 14, -29 = -2*g + f*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11)\/(t\/((t\/t**5)\/t)))\/(t*t\/(t**(-12)*t*t))**23)**(23\/3) assuming t is positive.\nAnswer: t**(-71300\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-45) - 7\/21\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 2\/7 (c) -1 (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*x**2 + 152*x**2 + 515*x**2 + 133*x**2 + 161*x**2.\nAnswer: 832*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-47)\/(658\/4))\/((-2)\/14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 2, e: 2, w: 9, t: 3}. What is prob of sequence iiwt?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-28)\/48) - (0 + 2). Which is the third biggest value? (a) -3 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*p + 8 = -2*p, -4*y = -2*p - 14. Let h(b) = 7*b**2 - 5*b**2 - b**y. Let i(r) = 8*r**2 - 32*r + 21*r + 11*r. What is h(i(q))?\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28727\/4 + -7169. Let y = 29023\/12 + -2414. What is the common denominator of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19206, -18945, -18684?\nAnswer: -18423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose -4*r - k*m = -6777, r - 4*m - 882 = 807. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + c**4\/4 + 4*c**2 + 17*c. Let z be g(3). Solve -3*w - 4 = 4*b - 0*b, 4*b - z = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*z**2 + 142*z**2 + z - 18*z**2 + (-5*z + 3*z + 0*z)*(-3 + 2*z + 3) to k*z**2 + g*z + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 3*u - 2. Let v be m(-1). Let s(c) be the third derivative of 0*c**3 + 0 - 1\/60*c**5 + 0*c + 0*c**4 + c**v. Let q(n) = -n**2. What is q(s(l))?\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 + 4 + 0. Is ((-1025)\/(-50))\/((q\/(-316))\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(275) + -3)**2 + -4 + (-2*sqrt(88))\/sqrt(8) + -3.\nAnswer: -32*sqrt(11) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*v = -129*v - 102 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 34. Let y be g(-9). Let z = 23 - 9. Suppose -u = -5*w - 24, -z - 6 = -3*u + 2*w. Is y not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - b**3 + b**3 - b**4 + 3*b**4 + 0*b**4 + (0*b**4 + 0*b**4 - b**4)*(0 - 1 + 0) - 5*b**4 - b**2 - 5*b**2 + 7*b**4.\nAnswer: 2*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 3. Determine o(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -224573208 divided by -12\nAnswer: 18714434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 64 + 94 = 0. Let i be (-12)\/(-6) - 1\/(s\/26). Which is the second smallest value? (a) -0.1 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -53. Suppose 3*r + 3*t - 180 = 0, -2*r - 3*t + 26 + 95 = 0. Let i = r + y. What is the remainder when i is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75168.72l to millilitres.\nAnswer: 75168720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-18 - -52 - -12) + -17) - -97?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 594, 4, 11, -4, 3 in descending order.\nAnswer: 594, 11, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -180235*l + 180254*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51046?\nAnswer: 2, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 772 + 387 = -390. Which is greater: -118\/61 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -194. Let z be 2*-1 + (g - 1). What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r**4 + 2*r)*(-31*r - 185 + 185) + 42*r**4 - 1 + 13*r**5 - 73*r**4 + 32*r**4.\nAnswer: -80*r**5 + r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.183513? (a) -12 (b) -0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:28 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89.641618 + 1.351082. Let u = -91 + s. Round u to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 4. Let t(o) = o - 1. Suppose 5*c - 4*h = 2*c + 74, 0 = 2*c - 5*h - 40. Let a(g) = c*t(g) - 6*y(g). What is a(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -16*t - 71*t**2 - 7 + 21*t**2 + 23*t**2 + 28*t**2. Let k be r(5). Let f = k - -261. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2659 = 5*z, z = 5*z + 4. What is the greatest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j*j**(2\/9)\/j)**(-28)\/((j*j**(-1\/2))\/(j**(-1)\/j))**(-3\/5) assuming j is positive.\nAnswer: j**(1931\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s - 5*n - 10, 4*n = 4*s - 8. Let m(v) = v**2 - 5*v + 126. Does 33 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220944 by 18412.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-25*2\/250)\/(1\/19)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + 99 + 71*o - 84*o as p*o + n and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 39*w = -544170. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*o - 666710*b**2*p**2 - 52448*b**2 + 2*b*o - o*p**2 - 3*o wrt p.\nAnswer: -1333420*b**2*p - 2*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*i*q - 2293*a*q**3 - a*q**2 - 150158*i*q**3 - 33*i*q - 8*q**3 wrt i.\nAnswer: a*q - 150158*q**3 - 33*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2759*b - 1332*b - 1721*b - 1470 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c - 51. Let o be p(-5). Find the first derivative of o*l**4 - 50 - 3*l**4 + l**4 wrt l.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 9) to base 13.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0 - (1 + 0). Suppose -d*l + 2*z = -4*l - 4, -2*l + 4*z + 8 = 0. Suppose j - 44 = 2*p, l = 2*j - 5*j - 4*p + 132. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from ccfqvqqqcccvv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.625 and -1009557690.\nAnswer: -1009557678.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 2*t - 17. Let o be g(5). Let y = 50 - o. Let j be (1 - 25)*(-2)\/4. Solve -y*v - 2*v + j = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3852 + 0.5852. Put 5, -2, 1\/9, 15, c in increasing order.\nAnswer: -2, 1\/9, c, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 13 = 0, 3*o = 4*r + 341. What is the remainder when 607 is divided by o?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20*d = 125. Suppose 2*z = 0, -d*z - 100 = -u + 1185. List the prime factors of u.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20.7, 4\/3, -388 in decreasing order.\nAnswer: 4\/3, -20.7, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -13231230330?\nAnswer: 13231231002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 159427 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-12) + 2\/(-8). Find the third derivative of 17*o**h + 6*o**2 + o**2 - 19*o**2 + 8*o**2 wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/5*(-5510)\/28652\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/7 (b) 19 (c) 4 (d) -5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63 + 22 + -9 - 19 - (15 + 0)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3135\/(-792) - (-13 - -1)\/3. Let r(o) be the third derivative of 0*o**3 - k*o**4 + 0*o + 0 - 2*o**2. Let i(j) = -4*j**2. Give i(r(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 15*m - 8. Let f be y(4). Suppose -4*o - 3*g - 6 = 0, -5*o - 1 + 9 = -f*g. Solve 0 = -o*s + 2*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 158*z + 305. Is 70 a factor of p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1703646034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -2. Let q(j) = j**2 + 4*j + 5. Let v be q(-3). Which is the closest to -1\/3? (a) v (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -144?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*f - 77. Calculate the greatest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.2, -0.1, 5\/515609, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10773 + 1 + -1 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 1?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v + 26. Let m be q(7). Let p = m + 348. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -4. Solve -3 = -o + 5*t + 11, -p*o + t = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2352545*w**2. Let y(c) = -98*c. Calculate y(v(m)).\nAnswer: -230549410*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s = 72*s - 795905. What are the prime factors of s?\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 278\/695 + 53\/5. Solve 4*w - 5*l = 5, -7*w = -c*w + l + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 678262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-288)\/(-384) + (-10)\/(-8) + 1. Suppose 45 + 2359*b - b**2 - 2318*b - u = 0. Calculate b.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 45 = -5*c, -3*c + 97 = 5*t - 0*c. Let m(k) = 3*k + 13. List the prime factors of m(t).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15795 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240552986*n**6 - 83961286*n**2 wrt n?\nAnswer: 28866358320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/((-1245)\/166).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67165485017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-1)\/(-2) + 7. Suppose -t + 9 = -5*z - 103, f*t + 4*z - 705 = 0. List the prime factors of t.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 559.1836 centimeters?\nAnswer: 5591836000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 5:25 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-85)\/(-7)*(-12)\/30?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5 + 3*u**2 - 4*u**2 - 106*u + 0*u**2 - 113*u + 220*u. Calculate x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y + t - 381, -2*y - 4*t + 396 = 0. Suppose 4*h - y + 65 = j, -5*j + 57 = h. Suppose -29*m - 15 = -h*m. Solve -3 = -3*f, 3*f - 3 = m*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.2 (b) -0.03 (c) 13.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8544 or -8507?\nAnswer: -8544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226767221 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8940, -7736, -5718, -2874, 808, 5340?\nAnswer: 10734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v - 40, 2*v - 4*h + 355 - 383 = 0. Solve 5*u - 7*o + 3*o - v = 0, o = -4*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 + 453*p + 682. Determine f(-74).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3615*y - 1. Let g(w) = 7218*w - 2. Determine -2*g(i) + 5*l(i).\nAnswer: 3639*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/55))\/u**22*(u**(-2\/31))**(-3\/35) assuming u is positive.\nAnswer: u**(-239068\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 59*w**2. Let i(s) = -5368*s**2. What is -2*i(g) - 183*l(g)?\nAnswer: -61*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -14) + -1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -4 (c) -0.4 (d) -5 (e) 10\/3361 (f) 0.0491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Is 0 - (-52 - s)*1 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 o, and 1 e when three letters picked without replacement from {q: 1, o: 2, j: 1, x: 2, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1805, -5, 2, -358.\nAnswer: -1805, -358, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -314017.858 rounded to the nearest 1000?\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 32. Suppose g*n + n - 24 = 0. Suppose 2 = -n*h + 6. Which is bigger: h or -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 4*t - 10. Let l be n(-5). Let u be (1 + -1 + -1)*l. What is the highest common factor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776132241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 129948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465 is divided by 106.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -5. Let a = 0 + s. Let j be (-55)\/a*12\/15. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 735906 times 2.2\nAnswer: 1618993.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*q**2*r**2 - 11550*q**2 + 3436*r**3 - r wrt r.\nAnswer: -14*q**2*r + 10308*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387 minus -1.43?\nAnswer: 1.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 424.0145, -1 in descending order.\nAnswer: 424.0145, 5\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7070*f + 9987*f - 5901*f)*(0 + 1 + 1)*(2 - 3 - 1) in the form u + r*f and give r.\nAnswer: 11936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**4\/12 + 36*n**2. Let j(p) = 36*p. Determine i(j(v)).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 788028748 a multiple of 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41413.\nAnswer: 41413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6287412330 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*w = -702*w + 80*w - 3276 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**15)**20 assuming j is positive.\nAnswer: j**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/10 - 9*b\/2 - 187\/5 = 0. What is b?\nAnswer: -34, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2. Let i be ((-2)\/(-4))\/(4 + (-5 - (-9 + 7))). Let z(y) be the first derivative of 0*y - 8 - i*y**2. Give z(l(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45190, 90314, 135432, 180544, 225650, 270750?\n\"Answer: -3*c**2 + 45133*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158.24 + 27678.48565.\nAnswer: 27520.24565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 h when three letters picked without replacement from uuthudtvhtuuhuuhd?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*w + 198. Suppose -78 = 3*d - 5*k + 46, 140 = -5*d - 5*k. Let a = d - -55. Calculate the highest common factor of w and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1016 and 268097.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 2}. What is prob of picking 2 s and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2382 + 5037. Let d = o - 1140. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173344\/53 != 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/14574 + -28943\/1107624. Calculate the common denominator of t and -20\/1463.\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12813533 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 3*c**4 - 2*c**3\/3 - 2*c**2 - c - 4. Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 235 + 180 - 133 in the form t + c*f and give t.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1\/10*n**5 - 1\/3*n**4 + 2*n + 0*n**3 + 0*n**2 + 0. Find the third derivative of w(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 823386.6?\nAnswer: -823390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(14\/4 + -3). Solve 0*f - 8 = -p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + o - 18, -2*a + 3*o = -23. What is the lowest common multiple of a and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 307063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 3 (c) -1.7 (d) 0.0315 (e) -24.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357)\/1309)\/((138\/(-396))\/23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.36 - 0.66. Let v = 266.9 + -266.9. Which is the closest to 0? (a) y (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395.\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342 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 b(v) = -v**2 - v + 9. Let l be b(0). Let r = -18557223\/190 - -487776\/5. Let n = -229\/2 - r. Sort l, 0.1, n.\nAnswer: n, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.2 + -52.16662. What is t rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/47070 and -29\/86295.\nAnswer: 517770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 357 + -1b?\nAnswer: 33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2 + 10*d + 10. Let j(p) = 4*p**2 + 5*p + 5. Let b(n) = -7*j(n) + 3*s(n). Calculate b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, 4, -5, -0.15, -4\/3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16605 is divided by 2762.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 387 + -3487\/9. Let w be (-1 - 2) + 266\/72. Let z = j + w. What is the nearest to 1 in 3, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 254934\/30 + 2\/30*3. Suppose -2130 = -4*m + c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -5867\nAnswer: -2\/5867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2405 = -5*v, -3*v + 1863 = -3*k + 438. Let m = v - 340. Suppose -5*s - 6 = -2*w + 35, -5*s - m = -5*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15756 divided by -2.\nAnswer: -7878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*i + 32, 2*i + 26 = -4*r - 0*r. Let h(v) = -3*v**2 - 21*v**3 + 22*v**3 + 9*v**2 - 9 + 2*v. List the prime factors of h(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k - 16. What is the remainder when 117 is divided by r(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/1 - (7 - -1 - 779)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let s(k) = 9*k - 4. What is s(d) + 6*y(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9442, 19075, 28708?\n\"Answer: 9633*o - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -402.8+-53435\nAnswer: -53837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -92.\nAnswer: -5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 95142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6083 is divided by 113?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(156) - (sqrt(156) + (sqrt(156) - sqrt(156)*2))))\/(sqrt(576)\/sqrt(3)) + -3)*5 + 0)**2.\nAnswer: -225*sqrt(13)\/2 + 6525\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15713\/8 + -1968. Let g = -875 - -9642\/11. Calculate the common denominator of g and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/9? (a) -0.4 (b) 0.3 (c) -0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*j - 8190971 = 162*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 - 208 = q. Let a = 27 - 23. Put a, q, -4, -6 in increasing order.\nAnswer: -6, q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 2. Let a be q(4). Solve a*o + 2*s = 6 - 2, -4*o + 5 = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1122.8 + -1123. What is the smallest value in v, 15, -3, 2, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**3\/3 + 1. Let n(f) = 12*f**2. Calculate a(n(d)).\nAnswer: -288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272602*a**3 + 544973*a**3 - 272535*a**3.\nAnswer: -164*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -228, -336, -390, -372, -264, -48?\n\"Answer: 3*h**3 - 165*h + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/200458989 or 1?\nAnswer: 2\/200458989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 2. Let t be k(4). Let l be t*(3 - 1)\/18. Factor 0 - 2\/3*a + l*a**2.\nAnswer: 2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + -0.7. Let a = -5.304 + 5.504. What is the nearest to 8 in a, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2563243.052 from -1.38.\nAnswer: -2563244.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1370 or 0?\nAnswer: -1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76609957 + -260397251872\/3399. Let g = z - -85\/33. Let y = -5834\/309 + g. Calculate the common denominator of y and -11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-4 - -1)) + -1. Suppose r*g + u - 23 = -0, -26 = -2*g + 2*u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 4*m + 4. Suppose -3*k = -5*k + 8. Let g(t) = -t**2 - t - 1. Let x(c) = k*g(c) + v(c). Let o(z) = -z. Calculate o(x(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 - 229 = -13*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52310410 + 5?\nAnswer: 52310415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndbk when four letters picked without replacement from dednzdedkzdbzne?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3312978 is divided by 75290.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 46343*w - 49861*w + w**3 - 8 + 6 as c*w**2 + y*w**3 + n*w + t and give n.\nAnswer: -3518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/8, 655, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:10 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62182, -125553, -188910, -252247, -315558?\nAnswer: -378837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.99 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 7*a + 18*a + 42)*(-5*a**3 - 2*a**3 - 2*a**3).\nAnswer: -225*a**4 + 63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7324*g - 16478*g + 1327330 = 0 for g.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 7035\nAnswer: -1\/1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1592194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(208) + 2 - -3*(0 + sqrt(208)))*-2 + 1*sqrt(208) + -2 + (sqrt(208) - -1*(-1 + sqrt(208))))**2.\nAnswer: -56*sqrt(13) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 199*i**2 - 12*i - 1. Let x be h(4). Suppose 20*w - 9*w - x = 0. What are the prime factors of w?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1343, 1057, 265, -1291, -3869, -7727, -13123?\n\"Answer: -43*v**3 + 5*v**2 + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o*r**5 - 2*o*r**2 + 173*r**6 + r**4 - 4*r**2 + 62 wrt r?\nAnswer: 480*o*r**2 + 20760*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from dqqqqqqdqddqqdydqqq.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/2*(-52)\/(-286).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose -8*k + 7*k - 36 = 0. Let j be k\/63 + (-148)\/(-14). Find the second derivative of -19*b + j*b**4 - 42 + 42 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178193*y**3 + 149582*y**2.\nAnswer: -1069158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = -43*s + 74*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -88*u**2. Let c(h) be the second derivative of h**4\/12 + 44*h. Determine c(a(b)).\nAnswer: 7744*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - (-27687)\/9. Suppose -2*y = -k + 152. Let p = y + -749. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) -3\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8 + -17 + 17.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + -55. Let g = 44 - y. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376551 less than 376550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 + 3*o - 4. Let f be b(-3). Put -2, f, -1 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 15 = q, -2*c - 6 = -57*q + 61*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -77, -93 in increasing order.\nAnswer: -93, -77, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 5. Let v be k(-4). Let m be v\/((-3)\/2)*-3. Suppose 10*x = 9*x - 1. What is the closest to m in -3\/2, 2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150764 divided by 4?\nAnswer: -37691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 20140*k**2 + 282775*k - 666930.\nAnswer: -5*(k - 11)*(k - 3)*(k + 4042)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367654 is divided by 385?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 3\/37 (c) 0.4 (d) -136 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11*n + 13 = -10*n, 2*u - 25 = -5*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 1418*p**3\/3 + 31198*p**2\/3 + 158860*p\/3 + 224\/3 = 0. What is p?\nAnswer: -14, -8, -1\/709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = -16*a + 60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 44 = 0. Suppose f = l - 5. What is the lowest common multiple of (-1)\/((-2)\/5 + 121\/440) and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 4.2?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7 - -15) + -13. What is the nearest to k in 2, -3\/5, 0.096, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*l = -4 + 8, -l + 7 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55208443 * -5.\nAnswer: 276042215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110*u - 207530*u**2 + 80*u + 207544*u**2 + (0*u - 2*u + 3*u)*(u + u + u).\nAnswer: 17*u**2 + 190*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2661828513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 20*u + 8. Calculate the remainder when 53 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4 - -1) + 3)\/(-1). Suppose 10 = y - d*y. Solve -i - y = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3545, 7092, 10639?\nAnswer: 14186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(((2 + sqrt(68))**2 + -3)*-3 - (sqrt(68) + (sqrt(68) + (sqrt(68) - (1 + sqrt(68))))**2*-2 + (sqrt(68) + 1 + -2 + sqrt(68))**2)).\nAnswer: 78*sqrt(17) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 m, and 1 f when four letters picked without replacement from {m: 1, f: 1, u: 3, t: 1, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 + 10*b + 13. Suppose 0 = -s + 21*s - 220. What is m(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418014?\nAnswer: 2, 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97950 times 0.166?\nAnswer: 16259.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 4271651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 3.08. Let j = 8 + -10. Which is the smallest value? (a) j (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -302502*q**2 + 272547 wrt q?\nAnswer: -605004*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65484 and 3673845?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807825654 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31432\/7 - 4490. Which is the closest to m? (a) 7 (b) -1 (c) 0.4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 348\/29696723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18796017 is divided by 286?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*w - 3*w + 4, 4*p + 26 = 5*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*k + 64*k = 25, -5*u = 4*k + 6785. Is -1355 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.84 + -0.16. Let o = -15 - k. Suppose 0 = 2*t - 4*t - 8. Which is the third smallest value? (a) o (b) 2\/17 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3169457645 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062224.\nAnswer: 2, 197, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1052547 and 77\/267.\nAnswer: 93676683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 33*v - 71. Is u(-27) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 9*x + 4. What is the third derivative of -10*j**2 - x*j**2 + 189*j**3 - 188*j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5294 + 5264 = -4*h, 4*o = -h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from wdodkdqkkkdoo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3 - 980*v**2 + 3952*v = 0.\nAnswer: -494, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 4. Let q(s) = 2*s - 2 + 0 + 3 - 4*s. Let v(n) = -2*b(n) + 7*q(n). Differentiate v(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**4\/4 - u**3\/3 - u**2\/2 - 10*u + 5. Let x(j) be the first derivative of c(j). Let p be x(-1). Solve 2*m - p = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3 + 36. Calculate the remainder when q is divided by (-2 - -7)\/((-15)\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15))**(3\/8)\/(s**(-34\/7)*s*s\/(s**17*s)) assuming s is positive.\nAnswer: s**(853\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-20)*4*-1. Let k be -1 + s\/3*-1. Sort k, 2\/9, -1\/2 in descending order.\nAnswer: 2\/9, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223843 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2 + t - 57. Let x(n) = -10*n - 2. Let f(d) = 6*r(d) + x(d). Let k(c) = -2*c**2. What is k(f(p))?\nAnswer: -8*p**2 - 32*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 2 - 4*d**3 + 4*d**2 + 9*d**3 - 4*d**2 as k*d**3 + h*d + p + q*d**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -14655803887628.\nAnswer: -14655803887629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 4, -2, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -2*x, 3*x = 4*i - 2*i - 4. Suppose -5*p + h + 4 - 2 = 0, 4*p + h = -x. Solve p*s - 13 = -4*t + 3*s, 5*s + 12 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + 519?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7257 + -1627?\nAnswer: 5430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*w = -64, -5*j - w + 367 = 111. Suppose i - j = -16. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41816051?\nAnswer: 431, 97021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 - 84*t**2 - 86*t + 23. Is c(-53) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -188\/7 (b) 0 (c) 0.2 (d) 1 (e) -2 (f) -0.5 (g) 257\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(1 + -3) - -2. What is the highest common divisor of 28 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(156)\/(sqrt(64) - sqrt(4)) - (sqrt(4719)*2 - sqrt(4719) - sqrt(4719)))\/(-2*(sqrt(432) - -2*sqrt(432)) + sqrt(432)).\nAnswer: -sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53051?\nAnswer: 53051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 8. Let m = -4 - l. Solve m = 4*f - 1 + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 34012*a**3 - 7 + 3 + 2 + 3*a.\nAnswer: 34012*a**3 + 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l*v**3 + 7*l*v - 29221*v**3 + 44142*v**2 wrt v?\nAnswer: 18*l - 175326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4350 - 0?\nAnswer: -4350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13985147 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3161318*0.5\nAnswer: -1580659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -57, 0, 5 in descending order.\nAnswer: 5, 0, -2, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*k + 1\/4*k**2 + 0 = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -1. Let h = 12 - 11. What is the closest to h in -4, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72125 and 6425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1122 - 3368\/3. Let c be 6\/15 + 161\/35. Put -2\/5, w, 2, c in increasing order.\nAnswer: w, -2\/5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, z: 5, o: 1, p: 3, c: 5, e: 1}. Give prob of picking 2 d and 1 o.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 20 = 4*g, 2*l - 13 = -0*g + 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j. Let f(l) = -111299*l**2 + 2*l - 2. Determine u(f(c)).\nAnswer: 445196*c**2 - 8*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 76.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 159030, 636132, 1431302, 2544540, 3975846?\n\"Answer: 159034*a**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*m + 1148 + 153*m - 276*m - 2261*m with respect to m.\nAnswer: -2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from woooz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/8*110\/3. Suppose 2*w = -2*q - 0*w + 34, -5*w - s = -5*q. Suppose 0 = -4*u + 30 + q. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 + 159. What is the tens digit of (-1)\/u*7\/(-7)*19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f - 17. List the prime factors of o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -29\/3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 + 2 - 3*f**2 + 0)*(22 - 18 + 35) as z*f**2 + w*f + g and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 204984\/3003) + 6\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 - 9088.952.\nAnswer: -9032.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 97 = -2*l - 54, 3*l + 20 = 2*k. Solve 2*p = b - 3, 5*b - 10*b = 4*p + k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/3 + 5*i**2\/2 - 14*i. What is the derivative of w(f) wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:19 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 0 + 3 - a + 6 + 7. Let l be n(10). Suppose l*g - 20 = g. Solve g*s + 11 = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2211 and 37587?\nAnswer: 37587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 96\/7*k - 128\/7 - 24\/7*k**2 + 2\/7*k**3 = 0. Calculate k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 494 = -1648. Let v = -109 - b. What are the prime factors of v?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -25*a - 111. Suppose -51 = -c + 4*c + o, 4*o = -12. List the prime factors of q(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 955812 and 65780.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 4 + m - 1 + 24 to the form d + q*m and give d.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -54 - 6. Let f = -2195 + 2344. Calculate the remainder when f is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 + 4)*(-29)\/(-4). Factor -d**3 - n + 187 + 0*d**3 + 0*d**3 + 12*d.\nAnswer: -(d - 2)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(6\/42) - 86. Is n > -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 75*o - 152. Let y be t(-2). What is the greatest common factor of 4300 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*(45 - (-1463)\/(-33))\/((-40)\/(-19050))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 41*o**2 + 2 + 26*o**2 - 3*o - 4*o**4 + 17*o**2 as y*o + p*o**3 + x*o**4 + h + n*o**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010011 - -10011100111100111?\nAnswer: 10011111010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v**2 + 228*v = 0.\nAnswer: 0, 228\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 25 = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*371.\nAnswer: -185.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 20*y + 144 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 9:53 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*v + 29 + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-299)\/65 + -9)\/(-4) - 2\/5. Let a(y) be the third derivative of 17*y**2 + 0*y**4 + 0*y + 1\/30*y**5 + 0 + 0*y**l. Let o(g) = 22*g**2. What is a(o(n))?\nAnswer: 968*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.1*-322556.\nAnswer: -18417947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 67*g**4\/24 - 73*g**2. Let l(b) = -21*b**2 + 14*b**2 + 6*b**2. Calculate l(m(t)).\nAnswer: -4489*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 329490510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0*x**3 + x**2 + 48 + x**3 + 5. Suppose 0*h + 3*h + 6 = -3*z, 4*h + 8 = -z. Is l(z) 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 16800 and 16196000?\nAnswer: 340116000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8533 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15)*-10 - -12326. What is the highest common factor of o and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16412736*g + 7438078 wrt g?\nAnswer: 16412736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5129937?\nAnswer: 3, 17, 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**4\/6 - 7*z**3\/6 - z**2. Let g be (-4)\/(-36) - 11\/((-495)\/(-140)). Let y(q) = -2*q - 4. Calculate g*w(p) + 5*y(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49 - -a0b?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 11. Let d(n) be the third derivative of -n**4\/24 + 5*n**3\/6 + 2*n**2. Does 8 divide d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**2\/2 + 4*d + 2. Let z be r(3). Suppose -5*k + 4*s + z = s, -5*k - s + 7 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/21)\/(822\/1918)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h + 3 = -5*i - 32*h, -i - i = -86*h + 686 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183059348.\nAnswer: 2, 787, 58151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 + 194. Let c(o) = -11*o**2 + o + 6. Let x(n) = -5*n**2 + 3. Let d(l) = 6*c(l) - 13*x(l). Let f be d(4). Solve 0*k + t = f*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4 = 77*f - 76*f, -h - 4 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, u: 3}. What is prob of sequence fffu?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -8.06, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 38*k**2 + 40*k + 20. Give w(-39).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -2\/15, -9677, 2\/9, -2\/3 in ascending order.\nAnswer: -9677, -2\/3, -2\/15, 2\/9, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -898.78 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*l)*(1 + 0 + 1)*(-3 + 1 - 3)*(5 + 4 - 4).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5769\/26922*(8 - (-4 - -8)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z + 0*z**2 - 2 + 305*z + 3*z**2.\nAnswer: 3*z**2 + 380*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.103, 4, 3 in increasing order.\nAnswer: -0.103, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -116\/9, -5, 6, -2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61709651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(209) - -3*-3*sqrt(209))*-4)\/(sqrt(33)\/(sqrt(24)\/sqrt(72))).\nAnswer: -4 + 32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5440 divided by -598\nAnswer: -2720\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -13. Let t = d - 2. Suppose -t*o - o = 0. Let x(z) = z**2 - z + 10. Determine x(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 15, -4*m + 70 + 28 = -2*p. Let v = 75 + p. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001220 - -1010222101211?\nAnswer: 1011000110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeevveeeeeeeevvee. What is prob of sequence vee?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-2) + 126\/(-26). What is the closest to 5\/2 in h, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 66\/15. Suppose 2*o - 16 = -c, -5*o = -o - 5*c - z. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 + 3*c**3 - 4*c**3 - 26*c**3.\nAnswer: -53*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*c**4 + c**2 + 32*c + 317522 with respect to c.\nAnswer: -284*c**3 + 2*c + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 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: Expand 0*c - 3*c + 0*c - 2*c + 3 - 3 - c - c - 3*c + (0 - 2*c + 0)*(2 - 1 + 1) + 2*c + 3*c - 4*c + (0 + c + 0)*(-3 + 5 - 3).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13) + -6*(0 + sqrt(13)).\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from vvvvcvvovvrrvo?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987207?\nAnswer: 3, 13, 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1573) + (sqrt(1573) - (-3 + 4*sqrt(1573))) - (((sqrt(1573) + 5 - sqrt(1573)) + -5 - sqrt(1573) - sqrt(1573)) + -4))**2*4.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-27)*-1)\/((-1)\/(1\/(-1)))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45324 and 151080?\nAnswer: 453240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvi when four letters picked without replacement from {i: 2, a: 5, v: 3, x: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = h + 5*b, 12 = 8*h - 118*b + 122*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 4 in descending order.\nAnswer: 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - u**2 + 4*u**2 + 1 - 2*u**2 + 0*u. Let c be q(-2). Let w(k) = -k**3 + 6*k**2 - 5*k - 2. Let g be w(5). Are g and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:04 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242665 is divided by 414018?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 19*w + 143. Calculate the remainder when w is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13898 - 12500 + 23747 + 2*t**3 + 239*t wrt t.\nAnswer: 6*t**2 + 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4986 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 536528160 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**2 - 4*q**3 + 11*q**2)*(3900*q + 5 + 14 + 12 - 31).\nAnswer: -15600*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/481, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11547 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 2*n - n)*(2 - 4*n + 3*n + 0*n)*(51 - 104*n - 51) in the form a*n**2 + x*n**3 + b*n + p and give a.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u - 24. What are the prime factors of y(11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 3*y. Let w(t) be the third derivative of -t**5\/60 - t**4\/12 + t**3\/6 - 100*t**2 + 4. What is -3*a(x) - 2*w(x)?\nAnswer: -x**2 - 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.11 - 0.11. Let o = a + -9. Let f = 5 - o. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848759.5ml in litres?\nAnswer: 848.7595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466668997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1992 and 18?\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 3*i**2 + 2*i + 2. Let q be w(-4). Let p = -16 - q. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 3)*(-1 - 1). Let x = 15 - u. Let q be (7 - (-512)\/(-72))*1\/11. Does q = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*m - 1 = 5, -5*z + 2*m = 24. Let l be (9\/z)\/((-13)\/26). Solve 0 = 2*g - 4*v - 12, -g + 3*g + 23 = -l*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 + 8*w**2 + 47*w + 8. Let c(m) = -2*m**3 - 8*m**2 - 36*m - 8. Let t(d) = 4*c(d) + 3*l(d). Determine t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/2*-2*(-1)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 6692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-6)\/4*(-1)\/(-3). Solve -2*l = -3*x - 6, 5*x + i*l + 10 = -2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/12*d**4 + 0 - 65*d**2 + 1\/120*d**6 + 0*d**5 + 1\/6*d**3 - d. What is k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 179831, 719319, 1618467, 2877275, 4495743, 6473871, 8811659?\n\"Answer: 179830*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 2*i + 1540. What is the lowest common multiple of i and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0. Let a = 0.48 - -0.02. What is the closest to -1\/2 in a, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60993209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 52*g**2 + 11. Let j(p) = -3*p**3 - 35*p**2 + 7. What is -8*j(n) + 5*x(n)?\nAnswer: -n**3 + 20*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1301415 and 7155.\nAnswer: 11712735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = 248*v - 3*r + 444 + 799, -5*v - 5*r + 3 + 7 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -46. Suppose -3*s = y, -5*s + 0*s + 4 = 4*p. Solve 3*l - 14 = 5*n, -2*n + p = -5*l - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3154515390 to the power of 1\/3, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 smaller than 5576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 58*i**2 - 320*i\/7 - 2424.\nAnswer: -2*(i - 202)*(i - 7)*(i + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 627, 622, 613, 600, 583?\n\"Answer: -2*f**2 + f + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-3)\/(-30)). Let f be -5*4*(-6)\/q. Let x = 14 + f. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 - -0.85?\nAnswer: -392.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-8 + -8 - (-12 + -1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 22*z + 111. Let m be y(-5). Suppose 0 = 5*q - 23 - 2. Suppose 2*f = q - m. Solve f*l = -2*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86878 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 - 843*r**2 - 183816*r - 2570940 = 0.\nAnswer: -414, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 17, 13, -3, -2 in increasing order.\nAnswer: -25, -3, -2, 5, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*f - 9*d + 58*f + 12 wrt f?\nAnswer: -d + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:47 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 24*i**2 + 21*i - 57. Let y(z) = -5*z**2 + 9*z + 15. Let f be y(-2). Let s be k(f). What is the nearest to -0.3 in 5, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -12 (c) 5 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25598 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 15*l + 50. Let w(t) = 3*t**2 + 4*t + 1. Determine w(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + u - 243 = 0, 68 = 3*s - 2*s - 4*u. What is the highest common factor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:21 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 - (-24 - -40))\/((-1)\/(-2)). Solve -4*h = z + 8, 0 = 2*s + 4*h + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 3 - sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2))*1)**2.\nAnswer: -6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34434726 divided by 114?\nAnswer: -302059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as -610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33097, 33091, 33087, 33091, 33109, 33147, 33211, 33307?\n\"Answer: g**3 - 5*g**2 + 2*g + 33099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88762674.7 rounded to the nearest ten thousand?\nAnswer: -88760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-472)\/16*(1 - 3). Suppose -5*f + 4*f = 4*o - w, -3*o + f + 46 = 0. Calculate the least common multiple of 48\/14*35\/10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848.86 months in years?\nAnswer: 237.405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 27*q**2 - 28*q - 32. Calculate n(28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.22 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.492183ng in tonnes?\nAnswer: 0.000000000000008492183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c - 1?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -126111 at most 5341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/4, 0.185?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*w**2 + 2*h**3*w - 6*h**2*w**3 + 44*h**2*w - 29*h*w**3 - 17*h*w wrt w.\nAnswer: 2*h**3 - 36*h**2*w - 174*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -7.1. Let c = 5 - h. Is c <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (-2 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 512\/(-3840)*((-4)\/172)\/(1*(-1)\/5)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -23. Calculate the remainder when 44 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4 - 4*n**3 + 6*n**2 - 4*n + 32. Solve v(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + a - 238\/3.\nAnswer: (a - 14)*(a + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-18))\/((-8)\/(-6)). Let m = -28\/117 + 6\/13. Let z = -0.7 - -0.2. Which is the nearest to -0.1? (a) m (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6953 divided by -6.\nAnswer: -6953\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 - 2*b**2 - 7*b - 1\/3*b**4 + 4\/3*b**3. Suppose y(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350*b + 2294 - 162*b - 860*b + 34*b**2 - 30*b**2 + 74 = 0. Calculate b.\nAnswer: 1, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 41 = 3*y, -3*y - 4*v = 86527 - 86580 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 5*d - 7*d + 83, -14*d = -5*d - 10*d - 7*s - 62 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198.9 + 196. Let t = i - -2.97. Sort t, 1, -0.4, -0.5 in ascending order.\nAnswer: -0.5, -0.4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749 is divided by 2720?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2164)\/30 - ((-184)\/30 - (4 + -10)). Is -117 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5 (b) -3 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 - 4*d**2 + 8*d**2 - 2 + (-2*d + 6*d - 5*d)*(d + 1 - 1).\nAnswer: 8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3877762.3 - -3.841111?\nAnswer: -3877758.458889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*w**3 - 6*w**2 - 11*w?\nAnswer: 54*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/362008 and 1\/57720.\nAnswer: 70591560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*y + 547*y - 1757*y + 551*y + 302*y + 382*y.\nAnswer: 498*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 397*o**3 - 792*o**2 + 393*o + 2.\nAnswer: (o - 1)**2*(397*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 4, d - 80 + 77 = -3*i for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o**2 - 3*o + 3. Let v(i) = i**3 + i**2 + 4*i - 250. Give -a(f) - v(f).\nAnswer: -2*f**3 - f + 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*i + 6 + 3, 4*y - 20 = 4*i. Suppose 2*u - 5 + 2 = -p, -5*u + 1 = -4*p. Is y - 5 - (-113 + u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 minus -0.91068294582?\nAnswer: -159.08931705418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 56. Let m be c(0). Let y(z) = -31*z + 50*z - 25*z - 23 - 99. Let s be y(-23). Calculate the highest common factor of m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n = -2*n. Solve -2*c - 4 = -n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 12 = 2*w. Let u = w - -30. Let g = -13 + u. Sort g, -3, 3.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 30b9543?\nAnswer: 30b9539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -58650?\nAnswer: 58650.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -20 (b) -384 (c) 3 (d) 1\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064839613 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67\/220 - 3\/55. What is the closest to -0.1 in -0.1, -0.6, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - -1.7. Let m = l - 8. Let o be (0\/2 - 0)\/2. Put -4, m, o in increasing order.\nAnswer: -4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (545*w**2 + 573*w**2 - 648*w**2)*(-w**2 - 3*w**2 + 2*w**2) - 1 + 2*w**4 + 1 to the form v*w**2 + i*w**4 + s*w**3 + a + r*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 + 4*h + 1. Let l = 16 + -13. Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*m = -0*f + 3, 0 = 4*f + 4*m - 44. Suppose -2*b + f = -5*b. What is the remainder when (-3 + b)*(-88)\/20 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29818 and 475334?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 108 and -280724.5.\nAnswer: -280616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 77*x + 1375. Let l be m(-16). Calculate the greatest common factor of 3010 and l.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:32 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(2 + sqrt(1300))*-1.\nAnswer: -80*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h - 4. Let k(l) = 9*l + 4. Let o(u) = 3*k(u) + 2*v(u). Let w = -68 + 71. What are the prime factors of o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001011 - -10011000101?\nAnswer: 11111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77150, 153904, 230658, 307412, 384166, 460920?\nAnswer: 537674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 174 + -3980276.44567\nAnswer: -3980102.44567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/4 (b) 4 (c) -3850 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460595.6 nanometers to meters.\nAnswer: 0.0004605956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21191*p**4 + 76*p**3 + 36265461*p wrt p.\nAnswer: -254292*p**2 + 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*l = 325, -3*p + 76 + 174 = -5*l. Calculate the remainder when p is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6604663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 - -421. Suppose -3*p - 5 = 2*q, 3*p + m = -p - 2*q. Let g(h) = h**2. Let j be g(-2). Put -2, p, j, 0 in ascending order.\nAnswer: -2, p, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117588 and 1998996.\nAnswer: 1998996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q - 2. Suppose -f - 172 = -2*b, f + 12 = -q*f. Suppose -3*j = j - b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:10 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o + 2*o + 2*o**2 - 17*o. Let j(w) = 7*w**2. Determine j(k(r)).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 17, -2.301, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2197*r + 1544 wrt r.\nAnswer: 2197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(19 + (2 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10) + (37 - 17) + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 6*h - h + h**2. Let v(k) = -k**2 + k. Let b be (6 - 2)\/(-4) + 3 - -2. Let w(d) = b*v(d) + i(d). Find the second derivative of w(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:59 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*-1*2. Let i(z) be the second derivative of 0*z**2 + 0 - 1\/6*z**3 - 39*z + 1\/12*z**4. Let q(s) = -7*s**2 + 6*s. Calculate h*q(g) - 6*i(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22762.849964 - -22763. Let i = 5 - 4.85. Let o = i - m. Round o to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29a83a + 804?\nAnswer: 29b442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = -10*o. Let f be 0 + 2 - o*1. Let g be (-17)\/(-306)*8\/(-2). Which is the second biggest value? (a) -3 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/11, 552, -10.4?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)*(8 - -1). Suppose -2*u - 2*u - 5*j + 75 = 0, u + 4*j - 27 = 0. Let a = u + d. Calculate the greatest common factor of a and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003529 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/55704 and 143\/116147904.\nAnswer: 1277626944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 6*g - 3. Let n be p(7). Suppose 15 = 3*u, -w - 8 = -n*u + 2. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 3. Let z be w(4). Let y = -0.52 - -0.42. Which is the nearest to y? (a) z (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 46*j + 6. Let h(a) = 1. Give 14*h(x) - 2*i(x).\nAnswer: -92*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 50*x + 1. What is the remainder when c(1) is divided by (-41)\/(-3) - 6\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41614307 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 16*u**2 + 19*u + 44. Give n(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31222 or -31221?\nAnswer: -31222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26288, -1\/5, -1, 3\/8 in increasing order.\nAnswer: -26288, -1, -1\/5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -1228 in increasing order.\nAnswer: -1228, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/24*-4 - (-11)\/3. Let g(h) = -36*h + 2. Let n be g(z). What is n rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 478902.9 centuries?\nAnswer: 4789029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 38. What is k(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6953360.\nAnswer: 2, 5, 23, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let g be ((0 + 2)*-1)\/2. What is the nearest to -0.1 in g, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66453, 533711, 1802567, 4273821, 8348273, 14426723?\n\"Answer: 66800*z**3 - z**2 - 339*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/3102 + (-30880)\/(-56400).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/9 + 84*t**4 + 2992*t**3\/9.\nAnswer: 2*t**3*(t + 4)*(t + 374)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 20 = -2*p, v = 3*p - 35. Let q(o) = o**3 - 11*o**2 - 2*o + 30. Let r be q(p). Sort r, -4, 2 in increasing order.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5716171735?\nAnswer: 5, 18461, 61927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 - 5*h**3 + 2*h**2 - 11*h**2 + 2 as w*h**3 + v*h**2 + u + c*h and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 7699.\nAnswer: 2309.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/3 - 130597*y\/3 + 130598\/3 = 0. What is y?\nAnswer: -130598, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 + 2 = 0. Suppose -2 = -2*u + m*g, 3*g = -7*u + 2*u - 21. Let z be 2\/(-2) - (u + 2). Does 3\/5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 29, 36?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 - 2*q - 186.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/((-90)\/(-50708))*(-3)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 40 = 0, -3001*d + 3003*d = -4*a - 0*a - 42 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by 3283.\nAnswer: 177\/3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 136*d + 780 = 0.\nAnswer: -5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2164907, -2164941, -2165013, -2165141, -2165343?\nAnswer: -2165637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 12*t**2 + 10*t + 13. Suppose 2*r = 4*r - 22. Let i be y(r). Which is the third smallest value? (a) i (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 2*i + (-4 + 2*i + 4)*(-1 + 2 - 2) + 3 - 3*i - 3)*(1 + 1 - 4 - 5*i).\nAnswer: 35*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let o(t) be the second derivative of 0*t**2 + 0 - 1\/6*t**3 - 2*t. Determine v(o(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 287 + -1?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10880118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-3) + 4\/1. Let s be 1\/(1\/(-2 - -4)). Let y(l) = -2*l - 3 - l + 2*l**2 - l**s. Let c(b) = -b**2 + 2*b + 2. What is k*c(j) + 4*y(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -5 + 7 - -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 - z + 2. Let k(w) = 3*w**3 - 3*w**2 - 4*w - 17. Let n(q) = -4*c(q) - k(q). Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 20*q + 7. Give z(-22).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**15\/(u**6\/u*u*u**5\/u))\/((u*u**(-2\/5))**(-1\/3)\/(u\/((u**(-2\/3)*u)\/u*u*u))**(-15\/11)) assuming u is positive.\nAnswer: u**(-2881\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 753*l**2.\nAnswer: -3*l**2*(l + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48\/281227 or -1\/8?\nAnswer: 48\/281227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2470575, -2470571, -2470565, -2470557, -2470547, -2470535, -2470521?\nAnswer: -2470505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = 4*y. Is ((-44)\/y)\/(10\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 982431 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 1\/6, -94, -1\/7, 10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4002 and 38\/1230615.\nAnswer: 2461230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:41 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.77, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33216 and 82464?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (370\/1221)\/(4\/33).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 - 12*p - 4. What is the units digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by 4.\nAnswer: -203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 71 + 10 = -3*f, 2*d - 37 = 5*f. Suppose d*u = 21*u - 7665. Suppose 0*v + 7*v - u = 0. What are the prime factors of v?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 85\/25)*-5. Let r(p) = -p**3 - 7*p**2 + 10*p + 20. Let b be r(-8). Sort 1, v, b in decreasing order.\nAnswer: b, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684)*1 + -4 + (sqrt(684) + sqrt(684)*-1 - sqrt(684) - sqrt(684))**2 - 6*-4*(sqrt(684) + -1)*-1.\nAnswer: -138*sqrt(19) + 2758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, n: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*i - 6554 - 1709 - 4425 = 0 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334 by 57512.\nAnswer: -167\/28756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -2\/19, -2, -1\/7, -2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 226\/(-3)*(-3 + 9\/(-6)). Suppose 0 = -3*h + a - 6. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/205058 and 25\/7469.\nAnswer: 2255638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 19*j - 36*j = -114. Calculate the highest common divisor of j and 2073.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-124)\/116 + 1025\/145. Let b(u) = -9*u - 7. Let k(x) = -4*x + 4*x - 4*x - 3. Let d(p) = r*k(p) - 3*b(p). Let l(i) = 65*i**2. Calculate d(l(m)).\nAnswer: -65*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*c = 4, -2 = -2*c - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(120)\/(2*sqrt(486)))\/((sqrt(1568)*1)\/sqrt(8)).\nAnswer: -sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 91820258248 and 0.3?\nAnswer: 91820258247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -2 + 6 + (-5 + 8 - 35).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2975 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(5 - 2*m - 5)*(-1 - 1 + 0)*(-14 + 14 + m) as w*m + k + n*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 2 - 10*o + 0*o**3 - 6*o**3 + 9*o + 3*o**3 as k*o**3 + h*o + m*o**2 + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210200202122220 + -12?\nAnswer: -210200202200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let k(r) = -458*r - 106. Determine h(k(w)).\nAnswer: 209764*w**2 + 97096*w + 11236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 4*y - m + 69, y = 5*m - 73. Let x = y - -126. Let n = -9 + x. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {p: 1, k: 2, z: 1, v: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.6 + -6. Put 3, 0, a, -1\/5 in descending order.\nAnswer: 3, 0, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 45*c**2 - 93*c - 117. Does 50 divide l(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 2*a**3 + 4*a**3 + (a + 2*a - 4*a)*(3*a**2 + 3*a + 2*a**2 - 2*a**2).\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*v = 175*v + 98*v + 1335 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qouo when four letters picked without replacement from {b: 3, q: 4, u: 1, o: 2}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 291676524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4545*f**2 - 457*f - 2?\nAnswer: -9090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 261\/5. Is -3 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 84 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11568*h**3 - 4559*h**2 + 2*h - 1 wrt h?\nAnswer: 69408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*p = 0, -6*w + 35 = -w - 5*p. Find i, given that 351*i**4 - 30*i**2 - 356*i**4 - 25*i**3 - 10*i**w = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 484.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) + (sqrt(1584) - (sqrt(1584) + -1 + sqrt(1584))))*-5 + sqrt(1584))*-4 + -3*(sqrt(1584) - (-2 + sqrt(1584)))*-4)**2.\nAnswer: -4224*sqrt(11) + 27280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18737*t**3 + 13024*t**3 - 31941*t**3.\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550166504 to the nearest integer?\nAnswer: 23456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.03, -2\/17, -1 in descending order.\nAnswer: 2\/7, -0.03, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 103. Suppose i*k = 107*k + 7. Let d be (-5)\/20 + -6*k\/104. Sort -1, -4, -0.01, d in descending order.\nAnswer: d, -0.01, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -28*v**6\/3 + v**5\/15 + v**4\/6 + v**3\/6 + v**2. Let y be f(4). Let z = y - -161599. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -804 + 803.9637. What is p rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2648 or 2660?\nAnswer: 2648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077?\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.93 and -1.14.\nAnswer: -34.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.7 + -18.7. Let x = 5.1 + z. Let i = -2.9 - x. Which is the biggest value? (a) 0.01 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-7))\/((-2)\/(-28)). Let s = -30 - k. Let q = s - 18. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48467.09 kilograms in micrograms?\nAnswer: 48467090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 - 93. Solve 0 = -9*k + t - 63 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5138281457 - 21.\nAnswer: -5138281478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -608e (base 15) to base 4\nAnswer: -10332200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (18 + (-18 - -11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4887 - 4887. Solve -3*t - 48*z - 5 = -49*z, 4*t + 2*z + 10 = x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(5\/5 - 0). Let a be (k - (-9)\/4) + -1. What is the closest to -1\/3 in -0.3, -3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222 - 3456516?\nAnswer: -3460041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*2*6*4)\/((sqrt(3)*-2 + sqrt(3) + sqrt(3) - sqrt(3))*-4 - sqrt(21)\/sqrt(7)*2).\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c + 18 = 0. Let p be 60\/(5\/((-1380)\/c)). Suppose 2*j + 0*j - p = 0. What is j rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 31 - 59 + 6*k.\nAnswer: 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 94200?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/4 + p**3\/3 + 6*p**2. What is the first derivative of z(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 a, and 1 u when four letters picked without replacement from {r: 7, u: 1, z: 2, h: 1, q: 4, a: 3}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*u = -98, -4*u = -3*n - n + 56. Calculate the remainder when 317 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669?\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1238, -2491, -3760, -5051, -6370, -7723, -9116?\nAnswer: -10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 247*p - 771*p + p**2 + 324*p - 151*p - 1490*p.\nAnswer: p**2 - 2335*p + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 80 = -2*h. Let p = h - 17. Let x(u) = 14*u + p - 24*u - 4. What is x(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -205 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 11 = 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 128. Let d = z - -97. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (852\/(-20) + 6)\/(9\/(-75)) is divided by 111.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76)*1)*6))\/(sqrt(28)\/(sqrt(14)\/sqrt(2))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (17576\/(-10))\/(2\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799984501?\nAnswer: 799984501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**2\/3 - 6220466*k\/3 + 7775570\/3 = 0?\nAnswer: 5\/4, 777557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l + 67*l + 10 = -2*s, 6*s + 18 = -3*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*h + 8*u, 315*h = 327*h - 2*u + 13 + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6773405, 13546803, 20320199, 27093593, 33866985, 40640375?\n\"Answer: -k**2 + 6773401*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.5 + 14.17. What is the biggest value in q, -2\/5, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(52*b + 345*b - 190*b + 351*b).\nAnswer: 558*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22824770 rounded to the nearest ten thousand?\nAnswer: 22820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 141161*d - 1129290. Give m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*s - 1 + 1)*(-1 + 1 + 2) + (-4 + 9 + 0)*(-s + 0*s + 0*s))*(48*s**2 + 70*s**2 - 13*s**2) in the form y + w*s + a*s**2 + n*s**3 and give n.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {k: 11, x: 3, c: 1, v: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/6))\/t*t**(-11)*t\/t**(-10)*t\/t**7)**1 assuming t is positive.\nAnswer: t**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 15. Suppose -w = -k + 1. What is the remainder when 33 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 20*l - 132. Calculate the least common multiple of y(9) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 77 + 5*y - 87 + 161.\nAnswer: 10*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(9\/2)*y)**49*((y\/y**(-1\/9))\/y)\/((y**(-4\/7)\/y)\/y) assuming y is positive.\nAnswer: y**(40469\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*i + 42*i**3 - 43*i + i**2 - 4 + 124*i + 4*i**4 in the form x*i + j + q*i**4 + m*i**2 + b*i**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-8))\/((-322)\/(-8)). Let w = -169246 + 136242537\/805. Let z = w - m. Which is the third biggest value? (a) -2\/3 (b) -1\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3690*r*t**2 - 161*r*t - 2*t wrt t?\nAnswer: 7380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221874413 is divided by 739.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -53) + 234 + -124\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 5 - 2*x - 17 + 2*x. Let h(d) = d. Suppose -2*n - s = -4*s + 12, s - 8 = 2*n. Let j(m) = -4*m. Let a(c) = n*j(c) - 14*h(c). Give a(t(q)).\nAnswer: -4*q + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 2*r + 22 = 0, -36 = 4*w - 4*r. Let b(f) = 5*f + 6. Let u(a) = a + 1. Suppose 0 = 2*c - 5 + 3. What is c*b(j) + w*u(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2*n)**(-5\/7)*(n\/n**(-4))**(10\/19) assuming n is positive.\nAnswer: n**(-30\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -14, -98, -266, -542?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 4*j**4 + 0*j**4 + (-4*j + 0*j + 2*j)*(-j**3 + 0*j**3 + 0*j**3) - 4*j**4 + 2*j**4 + j**4 + (2*j**3 + 1 - 1)*(0 - 3*j + 0).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30))\/(5\/((-25)\/(-2))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4.7. What is the nearest to 0 in 1\/3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/27855364 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119463.422512 - 543.567988. Let b = 120055 + s. Let q = -48 + b. Round q to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*x - 12 - 4, -4*s - 30 = 3*x. Let a(c) = -6*c**2 + 6*c - 2. Let y(p) = -p**3 + p**2 + p + 1. Let d(q) = -a(q) - y(q). Let u be d(s). Is u < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 44*d - 4. Let z be u(-1). Let t be (-14)\/(-70) - z\/10. Suppose q - 405 = -q - 5*s, 4*s = t*q - 1062. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101669.\nAnswer: 19, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33023607 is divided by 370.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 17 = -2*g - 0, 0 = 4*f + 2*g - 22. Suppose -f*o + 2*k + 24 = 0, 4*k + 18 = 5*o + 5*k. Solve 5*i - o = 7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(2*4))\/(61\/(-244))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21*y. Let s(v) = -3*v**2 + 4. Let b(c) = -2*c**2 + 3. Let o(f) = 4*b(f) - 3*s(f). Give u(o(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0798 or -119295?\nAnswer: -119295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1225 and 2275?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 30*d + 4629. Determine f(-104).\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-595)\/200 - -3). Let t = d - -84. Put 2, t, -1 in descending order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 7*y + 6. Is h(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 2, -0.1, -1\/5 in descending order.\nAnswer: 2, -0.1, -1\/5, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38949900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let j be t(2). Let g be 3*(1\/(-3))\/j. Let u be -2 - (0 - (-14)\/g). What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + -2.89. Let s = -3.28 + 0.58. Let d = g - s. Which is the nearest to 0? (a) 5 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 48*i**2 - 13*i**2 + 2*i - i - 1. Let t be u(1). Suppose -4*p + d = -7, -5*p + d - 5*d = -t. What is the biggest value in 1, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5 - 5)*(-5*l - 4*l + 10*l + (-4 + 3 + 3)*(14*l + 8*l - 26*l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737*t + 55*t = -424 - 258. Let w = -3 - -12. Let v = 5 - w. Put -12, t, v in ascending order.\nAnswer: -12, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/5 + 238*u**2\/5 = 0.\nAnswer: 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 275?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 5*k**3\/3 - 2*k**2 + 2. Let m(y) = -2*y**2 - 19*y - 8. Let h be m(-9). Let r(c) = -c**2 + c. Determine h*f(l) + 6*r(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*z**4\/7 - 144761*z**3\/7 + 22557*z**2 + 118441*z\/7 - 131590\/7 = 0. What is z?\nAnswer: -10\/11, 1, 13159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*h - 65*h + 71269. Let x = h + -1184. What are the prime factors of x?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 0*l + l + (-2*l - 8*l + l)*(1 + 5 - 4).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3440*a - 27549 - 31098 - 85833 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 303, 945, 2157, 4125?\n\"Answer: 31*o**3 + 6*o**2 + 23*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - v - 14 = 0, -857*i + 859*i = -2*v - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 18*k**2 + 15*k - 16. Give v(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149937162 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3087\/567 + 28\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmqmmcmq. What is prob of sequence mqc?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -4)*(-5)\/5. Suppose -3*o + y + 29 = 4*h, 2*o - 17 = -5*h. What is the greatest common factor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 16*k + 5. Let o be f(14). Does 17 divide 2 + (o - 2) - (-6 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3070 + 21452\/7. Suppose 258*h - 176 + 703 = -763. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.164003274 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -593288 greater than -593287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004472 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**6\/360 - m**4\/6 + 2*m**3\/3 + 1. Let t(f) be the third derivative of i(f). Differentiate t(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let j(r) be the third derivative of -67*r**6\/40 - r**5\/15 - r**4\/6 - r**3\/2 + r**2 + 58. Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/1260 - l**6\/60 + 3*l**5\/20 + l**4\/24 + l**2. Let y(o) be the second derivative of a(o). Factor y(c).\nAnswer: 2*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24*2\/(-3)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2)*y)**(-22))**(7\/3)*((y*y**2)**(8\/17))**(-12) assuming y is positive.\nAnswer: y**(-288\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21404287 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2360 - 2360. Let z(o) be the second derivative of j + 4*o + 1\/10*o**5 + 0*o**4 + 0*o**2 + 7\/3*o**3. Find the second derivative of z(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/24 + 8*t**3\/3 - t**2. What are the prime factors of z(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*g - 1023 = 1209 + 1449 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4792 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 times -103731\nAnswer: -2697.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 150*k + 12. Let u be d(-4). What is the units digit of 3\/(3\/5)*u\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2094347434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 + 3 = 0, -t - 3*x = -120. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31453.\nAnswer: 71, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)*b)\/b**0)\/((b*b\/b**(3\/5))\/(b\/b**(2\/11))) assuming b is positive.\nAnswer: b**(179\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 979732 and 109187?\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 11, y: 3}. What is prob of picking 3 y and 1 c?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -16\/179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -i, -4*d - 10 = d. Find the second derivative of 4*c - 3*c**3 + 80 - 80 - 5*c**i wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*p - 472*p = -12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 greater than or equal to 5\/606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4524370506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {s: 8, u: 1, e: 1, z: 2, w: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 947 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 w when four letters picked without replacement from {x: 15, w: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*u - 4383 = 540 - 513 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 623000 or 622990?\nAnswer: 622990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let p(j) = -5*j**2 - 23*j - 40. Let i(s) = -p(s) - 2*x(s). Factor i(t).\nAnswer: (t + 5)*(3*t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 1, a: 1, b: 1}. What is prob of sequence ube?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 + 6*m**2 + m + 49. Let u = 923 + -929. What is the tens digit of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 - 23.317.\nAnswer: 220.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -30. Suppose 4*m = a + 14, 2*a + 4*m = 8*m - 20. Let l = y - a. Solve -12 = 3*o - 2*p, -o - p - 4*p - l = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/828*((-40)\/3)\/(-10).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 6.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3623040 and 2898432?\nAnswer: 14492160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/1)\/((-9)\/6). Find c such that -c**3 + 3*c**2 + 1 - n*c - 2*c + 5*c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 4*t**2 + 44*t + 114. What is p(-4)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 146\/(-1095)*200\/(-24)*(-20)\/(-4)\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1508293 - 22725335.\nAnswer: -21217042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-4))\/(5\/10). Let y = -1 + -5. Let n = u + y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 22 = 2*f, 23 = -4*g + 3*f + 22. What is the units digit of g\/(16\/12)*2172\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22539 + 22539 - 2*x**2 - x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3 + 1 + p + 3 - 6. Let x be g(-1). Find l, given that 0*l**3 + 2*l**5 + 0*l**4 + x*l**4 - 4*l**3 + 2*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*q = -q - 2, 5*p - 4*q - 18 = 0. Solve 0 = -t - 3*z + 4, -p*t - 4*z + 3*z + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2550\/(-680)*(-28)\/(-126)*-4.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16919*y**4 - 3*y**3 + 19486*y**2.\nAnswer: -406056*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325 and 130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 3*o - 5*y = -17, 3*o = -5*y + 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 - 0.1. Let u = 1.9 + z. Let r = 0.3 - 0.2. Which is the third biggest value? (a) r (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 14 - 2*z**2 - 17 + 6 + 0 - 2*z. Calculate d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13 - 2*j - 1 + 26. Let t be c(20). Suppose 4*v - v = -3*n + 3, 0 = 3*v - 15. Sort n, 5, t in descending order.\nAnswer: 5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/648 and 53\/108.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 140928*h\/7 + 2563749.\nAnswer: -3*(h - 47103)*(h + 127)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (32 - (-122 - -87))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c = -64. Suppose -22 + c = 2*w. What is the units digit of (-20)\/w*6*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6797760 and 15552.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 = 11. Sort t, -2, 2 in descending order.\nAnswer: 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 3 + (-6 - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2553 + 339 = -4*z - 2*i, 1656 = 3*z + 3*i. What are the prime factors of z?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 12750?\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w*w*w*w*w**(-1\/15)\/w assuming w is positive.\nAnswer: w**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-16)\/(-176)*-22*(-3)\/276*3)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3)*2 + -1.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16\/99 - 5138\/1287. Let o = 617\/130 - y. Let w = -9890 - -118529\/12. Calculate the common denominator of w and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(2057) + sqrt(2057))**2.\nAnswer: 352*sqrt(17) + 32928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*f = 27, 10*d - 7*d - 3*f + 21 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10010011111010011011110 (base 2) to base 7\nAnswer: 56124440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/21 - 16*d**7\/105 + d**6\/30 + d**5\/3 - d**4\/6 - 2*d**3\/3 + 14*d**2. Factor y(p).\nAnswer: 4*(p - 1)**3*(2*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2*i**3 + 4850*c**2*i**2 - 168*i**3 wrt i?\nAnswer: -30*c**2 - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.71 + -1.29. What is the nearest to q in 0.3, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 21 + -3 + (-15 - -8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8395)\/(-302220))\/((18\/16)\/3)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2885256 and 18744?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j - 70. Let i be k(6). Suppose 3*r = 3*z + 3543, i*r = 3*z - 4*z + 2353. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1304426.25 to the nearest 1000.\nAnswer: 1304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3825*k + 5841*k + 4312*k - 1536*k - 478*k)*(k**2 + 2*k - 2*k) to the form b*k**3 + r + n*k**2 + q*k and give b.\nAnswer: 11964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213390436.\nAnswer: 2, 7, 7621087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -353\/35 + 72\/7. What is the third smallest value in -20, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ce - 1b9a?\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/3 - 16*g**2\/3 - 32*g\/3 = 0 for g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -648.821?\nAnswer: -648.821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -114, -229, -394, -615?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:56 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 1. Let s be c(1). Let v be (-4)\/6*-3 - s. What is the second derivative of v*p**4 - 8*p + 4*p - 2*p wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1118, -8957, -30222, -71627, -139886?\n\"Answer: -1119*c**3 + c**2 - 9*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:46 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -12*t - 10. Is ((-3)\/18*t)\/((-2)\/510) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/22 and (-2)\/((-108)\/165) - -3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -10*u - 168. What is the least common multiple of 184 and u?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*g - 248*g - 840 = 0 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1825)\/1460)\/(7\/(3332\/7))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 635\/9? (a) 0.2 (b) 9 (c) -1 (d) -9 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 + p**3\/3 - 17*p**2\/2 + 5*p - 27. Let z be q(6). What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -166*z**3 - 3*z**2 - 44*z - 3. Let g(x) = 335*x**3 + 6*x**2 + 77*x + 6. Give 4*g(q) + 7*t(q).\nAnswer: 178*q**3 + 3*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -853, -1259, -1665?\nAnswer: -2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605399 is divided by 1499?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6169, -6166, -6163, -6160, -6157?\n\"Answer: 3*f - 6172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -4, 0.2, 2, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 3*c**2 + 3*c - 4. Determine t(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + 6*m + 1. Let p(s) = -2*s**2 + 5*s**2 + 131*s + 1 + 0*s**2 - 124*s + s**2. Give 5*f(c) - 4*p(c).\nAnswer: 4*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592 - 623 = -167*m - 199 + 1157 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-4))\/(17319\/(-7530))*2\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 0 + 5)*(3 - 1 - 1) - 2 + 1 - 8)*(1 + b**2 - 1) to the form r*b**2 + k + o*b and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 3, p: 1, s: 3, a: 4, b: 2, w: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 1.3. Let s(g) = g**3 - 4*g**2 + 2*g - 6. Let f be s(4). What is the closest to f in -0.3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3*-1)\/((-74)\/111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3\/6 - r**2 - 16*r - 1. Let q be n(1). What is the third smallest value in 1, 8, q, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 776*t**3 - 1097535*t**2 + 1087337*t**2 - 2*t**4 + 2483*t**3 wrt t?\nAnswer: -48*t + 19554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 14*w + 11. Let z be c(-13). Let p be ((-8)\/(-6) + z)\/(4\/(-216)). Find the third derivative of p*o**3 - 101 - 6*o**2 + 101 wrt o.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/720 + b**5\/240 - b**3\/6 + 3*b. Let a(n) be the second derivative of k(n). Factor a(u).\nAnswer: -u*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpa when three letters picked without replacement from {g: 2, a: 1, c: 1, p: 5, j: 1}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2 - (-325)\/(-100)) + 18\/40?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 541 - 182 - 177 - 4*v.\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16 = l, -l - l = -f + 32. List the prime factors of 8\/2*(-20)\/l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-189)\/(-6)*80\/280?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203448 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: Collect the terms in -65463*a - 6105*a**2 - 4*a**3 + 12213*a**2 - 2 - 6108*a**2.\nAnswer: -4*a**3 - 65463*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfxfwfx. Give prob of sequence fw.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -46.6, 30\/17, -1\/3, 3?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002584161 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5695715*r**4 + 8*r**2 + 73905797*r.\nAnswer: -68348580*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806394 is divided by 3639.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h + 4*h + 2*h)*(-1 + 0 + 2) + 4*h + 2 - 2)*(-3 + 3 - 4*h).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Suppose -6*b = -m*b - 15. Suppose -a + 0*y = 2*y, -2*y - 24 = -b*a. Let u(r) = -r**2 + 4*r - 6. Calculate u(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434242355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.81004358 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7297 + -9?\nAnswer: -7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + w + 22 = 0, -3584260*r + 3584249*r + 2*w = 41 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 22*o**2 + 40*o - 6. Let u be d(-20). Let a(r) = -9*r - 4. Let q(n) = 8*n + 3. What is u*q(b) - 5*a(b)?\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 114 + 13*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 128*i**3 + 856*i**2 - 2688*i - 3420 = 0. What is i?\nAnswer: -19, -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -47*y + 45*y + 2 - 1. Let n be p(7). Let g = 24 + n. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3*k + 24 = 0, -2*k = -5*h + 3*k - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4312 at most as big as -7006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/1344709?\nAnswer: -5\/1344709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/y**11*y\/y**(2\/7)*y\/(y*y\/y**9*y) assuming y is positive.\nAnswer: y**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((7 - 3) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15652)\/10836)\/((-1)\/(-18*3\/(-6))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 - 2336*u**4 + 182348*u**3 - 4760992*u**2 + 46548144*u - 121093056 = 0 for u.\nAnswer: 4, 18, 47, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*d**3 + 0 + 41*d**3 + 48*d**3 + 2*d**2 - 1 to the form q*d**3 + a*d**2 + j*d + u and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6709 (base 13) in base 10?\nAnswer: 14374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + d + 45, 3*k - 3*d + 15 = 0. Let t be 2 + k\/3 + 1\/3. List the prime factors of 3\/t + 90 + 1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 4 = -d, 12 = 2*x - 3*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (-10)\/35\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 1, x: 5, m: 3, h: 3}. Give prob of sequence mrm.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-352)\/(-110) - (-2)\/(-10). Let i(r) = -7*r**2 + 6*r - 2. Let m(v) = 4*v**2 - 3*v + 1. Let k(s) = -3*i(s) - 5*m(s). Give k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2058 smaller than -2057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644*s + 173 + 170 - 343 = -148*s. Factor s*b + 0 - 2\/3*b**2.\nAnswer: -2*b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 6923 = 13*v. Calculate the remainder when v is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4472 = -2*j - 2*c, -2*c - 3347 = -3*j. Let k = j + -484. Let l = k + -1133. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 11. Let y be i(-5). Suppose -g - 3*r = -y*g - 29, 3*r - 1 = g. Let c = 13 + g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -1 (c) 3 (d) -559 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2536961 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + v**4 - v**4 + 2*v**4 + 2 - 2 + (-v**4 + 0*v**4 + 3*v**4)*(1 + 2 - 5) + (433 - 433 + 4*v**2)*(-v**2 - 2 + 2) + 4 + 2 - 4 - 2*v**4.\nAnswer: -10*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -22. Let a = -7 - r. Suppose 4*u - 3*x - 23 = 0, 3*u - 2*x - 10 - 6 = 0. Solve -a*k - u = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 64 = o + 2*o, 4*o - 100 = -3*x. Calculate the highest common divisor of o and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/(18\/(-54)). Find the second derivative of k**c - 5*k - k**3 - 442*k**4 + 447*k**4 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 502203124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 137*k - 52965. What is the greatest common factor of 270 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 + -208.99999458. Round x to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 626882 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 29*y + 12. Let v be o(0). What is the common denominator of 80\/39 and (-62)\/15 - (-72)\/v?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 a when four letters picked without replacement from {a: 6, z: 1, d: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*p - 24 = -61, 5*u - 3*p = 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-42) + (-116)\/(-14). Let u(d) = -d + 11. Let s be u(b). Let m be (3\/s + -2)*-5. Let w(c) = c - 2. What is w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - 0)*(-294)\/126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.3905 seconds to microseconds.\nAnswer: 434390500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4620334, -1 in decreasing order.\nAnswer: 4620334, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.3, 0.1, -50 in ascending order.\nAnswer: -50, -2\/7, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - 4*w**2 + 3*w + 19. Let a(g) = -7*g**3 + 3*g**2 - 2*g - 15. Determine -4*a(y) - 3*p(y).\nAnswer: 10*y**3 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 188 = 148. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2*1)*0\/(-424)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g + 18 + 4*g - 43*g - 57*g.\nAnswer: -151*g + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (-1 - -4) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137a21 (base 16) in base 2?\nAnswer: 100110111101000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u + 5*a = 32, -3*u + 26 = -a. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32664 - -4?\nAnswer: 32668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/2 + 12*m**4 - 67*m**3 + 44*m**2 + 135*m\/2 - 56 = 0.\nAnswer: -1, 1, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - l - l)*(5 - 5 - l) - 100*l + 100*l - 140*l**2)*(l**2 + 4*l**2 + l**2).\nAnswer: -834*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -735.8 and 294.\nAnswer: -441.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/233 - -691\/932. Let p = -4 - -5. Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(5\/4)*p**(-5\/3) assuming p is positive.\nAnswer: p**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1335\/8900)\/((-2)\/4)*4\/8\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - -11) - (-1 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 250*p\/3 + 15625\/6.\nAnswer: (2*p - 125)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535065935?\nAnswer: 5, 67, 107, 197, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83240999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292*h*k**4 + 4*h*k + 8*k**3 - 1523*k wrt k?\nAnswer: 3504*h*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120010 - -10323121?\nAnswer: 11103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 111824 + 1?\nAnswer: 111825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/((z*z**(-2\/5))\/z))*z*z*z)\/z)**(-2))**(-3\/17)\/((z\/((z\/(z**(-1\/4)\/z))\/z*z)*z)**(1\/11)*z*z**(-2\/19)*z*z*z\/((z*z**3)\/z)) assuming z is positive.\nAnswer: z**(-46917\/71060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5289*c + 85463 + 26445 - 839 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 784*b\/5 + 474.\nAnswer: -2*(b - 3)*(b + 395)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116400 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 9:38 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = 2*l, -4*q + 3*l + 10 = 4*l. Suppose 0 = -4*u + 2*u - k - 16, -q*k - 27 = 3*u. Let w = 13 + u. Solve 3*o + 9 = -w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 519.6087, 21\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157.99 + -36.42. Let n = 193 + q. Let y = n - -2.04. What is y rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 + 86254*n**2\/11 - 928717120*n\/11 - 27005384872\/11.\nAnswer: -2*(n - 21578)**2*(n + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2531 = 6*c - 5383. What are the prime factors of c?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -19 (c) 1\/3 (d) -126 (e) 0.9 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-16.43188\nAnswer: -16.43188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d - 5. What is the smallest common multiple of 2 and (0 - 60\/9)*-6*d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - (-69)\/(-12). Let j(g) = g**3 + 6*g**2 + g + 1. Let b be j(l). Let n(c) = -c + 3. What are the prime factors of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - 39 - (-2 - (2 + -8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 30 = -12*k. Let n be (-1)\/(2\/(k\/3)). Let p = n - -11. What is the remainder when p is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -1747 + 1797 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-21) + -2)\/(25\/(-175)). Sort -2, 6, q, -5.\nAnswer: -5, -2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335742 at least 336487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:57 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 1854444.\nAnswer: -5\/309074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x + 42. Let o be i(5). Solve 2*u = -u + 4*l + 5, o*l = -5*u - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(3\/(-18)). Let l(c) = -2 + 4 + c**d + c - 4*c. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 495?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvgjsvvp. Give prob of picking 2 s and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2721, -2722, -2725, -2730?\n\"Answer: -u**2 + 2*u - 2722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9874.2 + -9874. What is the smallest value in 3, i, -6\/5, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 22, 32, 70?\n\"Answer: 14*h**2 - 60*h + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-x - x + 1 + 0*x) + 0*x + 3*x - x + (3 - 3 + 2*x)*(1 - 3 + 0) + x - 2*x + 3*x + x - 1 + 1 - 12 - 2*x + 12.\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) 1 (b) 1\/5 (c) 854 (d) 4.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 15*z**2 + 69*z + 30. Does 3 divide y(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320512.7 litres to millilitres.\nAnswer: 320512700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = -5*s + 216, 11*a = -5*s + 67 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*q + 128*s - 129*s, 0 = -3*q + 3*s + 198. Solve -6*x - q = -93 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + (6 - -1) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 434298157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 3*c + 28 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2363 + 790 + 6*f**2 + 778 + 792 - f.\nAnswer: 6*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 122. Let b = 1293 + -1292. Let q = x + b. Which is greater: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1259*q**3 + 1436*q**2 - 2870*q**2 - 1 + 1434*q**2.\nAnswer: 1259*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Differentiate -11 + q**x + 18 - 5*q**4 - 6*q**4 with respect to q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 221*i**2 + 163*i - 164. Give r(1).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 82 + 128 = 0. List the prime factors of 2\/(-10) + 9 + (-16212)\/n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 3, 1\/3, 6683, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 3 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h\/h**10))\/(h*((h\/h**(2\/5))\/h)\/h)**(8\/5) assuming h is positive.\nAnswer: h**(416\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*s - 101*s**3 - 291*s - 101*s**3 + 201*s**3.\nAnswer: -s**3 + 34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 3. Suppose z = h*z - 6. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 32*n + 3. Let x be i(-16). Let o be 0 + (-2)\/14 - x\/(-21). Which is smaller: 13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 394. Calculate u(-33).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*p + 2*m, 0 = 5*p - 0*p - 4*m + 28. Suppose -3*n - 18 = -6*n, 6 = -4*q + n. Is (2 + q + p)*29530\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -0.1, 1\/3, 4\/5, -7, -2\/43?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)\/y)\/(y*(y*y*(y**(2\/5)*y*y)\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 60 = -0*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 957415 or 957426?\nAnswer: 957426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7878838*a**2*p - a - 4196505*p wrt a.\nAnswer: -15757676*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -15819\nAnswer: 31638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-24)\/2. Suppose t + 15 = -5*n, 5*n = t + 2*n - 1. Let j = c - t. Let x(f) = 2*f**2 + 4*f + 2. Determine x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 0.8.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17402 or -85\/24?\nAnswer: -17402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)*5\/((-25)\/(-56195)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + h**2 - 9*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 13 - 29. Which is the second biggest value? (a) -3 (b) -1\/2 (c) 6 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000076089 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -280392 + -44?\nAnswer: -280406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 17*f**2 + 2. Suppose -20*i = -18*i - 4. Suppose 2*m - 24 = -2*r, r - 66 = -i*r + 3*m. What are the prime factors of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (9 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 6*o**4 + o**4 + (-o**3 + 2*o**3 - 2*o**3)*(20 - 20 - 15*o) as y*o + g + p*o**4 + z*o**2 + b*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -8424\/115?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2900*k = -5*z + 2898*k + 19, 4*k - 56 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p + 2566. Let t(j) = -8*j - 858. What is 17*t(o) + 6*y(o)?\nAnswer: 2*o + 810","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*y)*(37*y - 5*y + 24*y).\nAnswer: 112*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 55*l**2 - 383*l - 5. Determine t(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1. Let k be ((-6)\/(-8))\/((-987)\/56). Which is the third smallest value? (a) k (b) -1\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:39 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u**2 - 29*u + 9. Let x(a) = 37*a**2 - 85*a + 26. Let f(m) = 8*n(m) - 3*x(m). Let z be f(3). Find o such that 0 - 1\/8*o**2 + z*o = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0550794 - 4.283.\nAnswer: -4.2279206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxx. Give prob of sequence xxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - (2*sqrt(280) + sqrt(280) + sqrt(280)))*-6)\/sqrt(7))\/(1*(sqrt(512)*2 + sqrt(512))).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -742*b + 58592. What is a(79)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c + 923. Let p(u) = -2*u**2. Give p(l(g)).\nAnswer: -98*g**2 + 25844*g - 1703858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 119761767220 less than 0.3?\nAnswer: -119761767219.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:25 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) - (1 + sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192)))*2 + sqrt(192) + sqrt(192))**2 + (-3*(sqrt(3) + 2) - (sqrt(36)*4)\/sqrt(12)).\nAnswer: 249*sqrt(3) + 3082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Suppose 0 = -51*x + 45*x + 198. Let q(s) = 37*s + 47 - 102*s + x*s + 33*s. Give q(i(d)).\nAnswer: -2*d**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 986588 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918*18.\nAnswer: 16524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951\/8 at least as big as 494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6904981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65352 rounded to the nearest 1000?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-225)\/(-10))\/((-3)\/(-4)). Suppose -4*x + 26 = 5*o, 5*o + 3 - 28 = -5*x. What is the greatest common factor of a and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9460 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16783794*f**5 - 11666646*f wrt f?\nAnswer: -335675880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 128*t**2 + 14*t + 1249. Determine j(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 914 + -776. Which is bigger: f or 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*14\/42*-20*6\/(-36)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258.96 + -0.04. Let x = j + 261. Which is the nearest to 1? (a) -0.3 (b) 2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g - 3. Let b(f) = 33*f - 5. Calculate -3*b(l) + 5*h(l).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 - 2)*(-p - 219*p**3 - p**4 + 445*p**3 - 232*p**3 - 5).\nAnswer: -5*p**4 - 30*p**3 - 5*p - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -198. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141452689 smaller than -141452684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/57)\/f*f)\/f)**37\/(f\/(f*f**25))**(-25))**(-12\/5) assuming f is positive.\nAnswer: f**(151232\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*z + 183, 9*z + 84 + 179 = 130*n - 125*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 0 - 1\/3. Suppose -2*h + 10 = 4*q, q + h - 1 = -0. Suppose t + 3 - q = 0. Is c <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from bbubbgbgugbgnu.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 109 = 3*d, -3*d + 0*b + 94 = 2*b. Calculate the least common multiple of d and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -522, -505, -488?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/31200*-96*(-55)\/2\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 0, h = -8*s + 3*s + 18. Let u(g) = 6*g**2 + 23 - g**2 + 16*g - s*g**2. What is the units digit of u(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -378070440.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -k + 1602, -3*u + 1050 + 159 = -3*k. Suppose -121 = 9*g + u. Let y = g - -62. Solve -3*j = x + 3 + 15, 0 = -y*j + 3*x - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1072*z**3 - z**2 + 20*z - 16. Calculate g(1).\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 5294343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 232428*i**4 + 55*i**3 + 3*i**2 + 727435637?\nAnswer: 929712*i**3 + 165*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 72*k + 565. Let r be s(-6). Calculate the greatest common factor of r and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3, 9*a = 5*q - 15 + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1046 + 0.2046. Let k = 0.9 - 1. What is the closest to h in -5, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 2*v**2 - 4*v - 1. Let m be c(-3). Suppose n - 9 = -m. Suppose y - 17 = -4*a, -5*y = -4*a - 4*y + n. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -6) + (1 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 * -52\nAnswer: 218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -107516.1854 rounded to the nearest 100?\nAnswer: -107500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(1\/8)\/c*c)\/c))\/c**(10\/7) assuming c is positive.\nAnswer: c**(-31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2946.0787 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*95826.\nAnswer: -2778954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 2*z**2 + 0*z**2. Let y(v) be the first derivative of 2*v**3\/3 + 2. Give f(y(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 8*r + 3*r)*(2 - 1 - 3 + (0 - 1 + 2)*(-2 + 0 + 0))*(2*r - 2*r + 2*r**2).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 3*k + 6, -2*k = -o - 5. Suppose -c + 65 = o. Suppose s = -64 + c. Solve -p = -h - s*p + 10, 0 = -3*h - 3*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/3, -1, -0.3, 1.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.319199 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 19529800 to the nearest 100000.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7626*n**2 + 15 + 26 - 41.\nAnswer: 7626*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11911\/2 or -2.057?\nAnswer: -11911\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*y - 30*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1\/2 - (-504)\/336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 41 = -24. Suppose 0 = 3*n - 41 - 34. What is the remainder when n is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - u - 4*z, u - 1 = 5*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1066, 1052, 1028, 994, 950?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266904 is divided by 88929?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 s, and 1 d when four letters picked without replacement from {u: 5, s: 8, d: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/59487 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**6\/9 - 4*l**5\/5 + 3*l**4\/2 - 8*l**3\/9 + 15. Factor z(h).\nAnswer: 2*h**2*(h - 4)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*1*sqrt(7)*1 + -4)*1.\nAnswer: -4 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = -2*k + 5*k, -2*s - 5*k = 19. Is s\/((-80241)\/(-80255) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 4. Let f(w) = 166*w**2 - 503*w**2 + 165*w**2 - 2*w + w**3 + 3 + 171*w**2. Give -3*f(h) + 2*z(h).\nAnswer: -3*h**3 + 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 - 15166825736\nAnswer: -15166825738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 41*l - 4*l = -33*l - 4012 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.771 - -0.229. Let u = -64.1 + c. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 2 - 415*s**3 - 161*s + 416*s**3 + 6*s**2 - 2.\nAnswer: s**3 + 6*s**2 - 161*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65, 63, 59, 53?\n\"Answer: -m**2 + m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 41*h**2 + 2. Let y(n) = 60*n**2 - 2*n + 1. What is y(b(m))?\nAnswer: 100860*m**4 + 9758*m**2 + 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.624 - -0.194. Round u to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 355*i - 16740. Determine p(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 910920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**4 + 52384*b**3 + 114354268*b**2 + 76195440*b - 38106450 = 0.\nAnswer: -4365, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 23 + 3*r**2 + r**3 - 12.\nAnswer: r**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, j: 7}. Give prob of sequence djj.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 3. Let b(t) = -11*t - 5. Let l(i) = -21*i - 10. Let m(a) = -7*b(a) + 4*l(a). Let w be 0\/2 + (0 - -6). What is w*m(s) - 10*v(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430534479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - p - 1. Calculate the remainder when q(3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -2\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1639, 1641, 1643, 1645, 1647?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)\/(-1) - 81\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/8 - 105069*u\/4 + 105075 = 0. Calculate u.\nAnswer: -70050, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/10*-22*(-15)\/495?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 + -1007 - (45 + -9)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.6119 from -109110.\nAnswer: -109113.6119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 24*i + 53. Let f be a(-25). Calculate the greatest common factor of 702 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439 + 435. Let b(u) = 4*u**2 + 4*u - 4. Let k(j) = -3*j**2 - 5*j + 5. Determine x*k(v) - 5*b(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.8, -0.5, -28, -10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 28*b + 6*b to the form x + m*b and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 369 + 433 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - (-9)\/(-6). What is the closest to h in 38, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.015 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53\/5 - (-6)\/(-10). Suppose 5*r - 34 = -6*o + 2*o, r + x = -5*o. Is 6 a factor of -52*(1 + r\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42310*b + 41691*b - 28474 = 0 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 4, -3 in decreasing order.\nAnswer: 150, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yffbhylhyyyyyyyyhy. What is prob of sequence lhh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*154\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 6 + 28*p**3 - 28*p**3 + 4 + 10*p**3 + 13*p**3 to x*p**2 + m + r*p**3 + v*p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k. Let m(l) = 5*l - 15*l - l + 3*l. What is h(m(x))?\nAnswer: -160*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 673382999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*f = 2 + 3, -2*f + 8 = 0. Suppose -2*l + 3*l + 5 = -w, l + 2 = -2*w. What is the least common multiple of s and l\/(-10)*(-1 + 6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249d07b (base 14) in base 13?\nAnswer: -384c307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1053) + -4) - sqrt(1053).\nAnswer: -18*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*-5 + (sqrt(704) - (sqrt(704) + 0)))*3.\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2189*k + 2199*k + 60 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*h**5 + 34*h**4 - 58*h**3*q + 2*h**2 + 2*q - 211415 wrt h?\nAnswer: -3780*h**2 + 816*h - 348*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10*-1142\nAnswer: 11420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 5*i**3 - 23 - 71*i**2 + 24.\nAnswer: 5*i**3 - 71*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 20*c**2 + 22*c + 33. Suppose -6*a + 663 = -45*a. What are the prime factors of q(a)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163241 and 130.\nAnswer: 1632410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4756 (base 10) to base 6\nAnswer: 34004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**4 + 191*q**3 + 54*q**2.\nAnswer: q**2*(q + 27)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366409.709s in weeks?\nAnswer: 2.2592753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-15))\/((-6)\/790905). Let m = -8769 - o. What is the common denominator of m and (-15)\/(-4)*19\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-20))\/(2\/(-200)). Suppose c = 2*r + 4*h, -4*r + 4*h = -h - 132. Let o be 122\/18 - (-2)\/9. What is the highest common factor of o and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 485882405 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -234221\nAnswer: -3\/234221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:29 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/4*2)\/((-4)\/56). Suppose r + 0*r = -2*f, -f - z = 4*r. Let w be (-45)\/(-5) - (3 + f + -3). Which is greater: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13321314 (base 5) in base 11?\nAnswer: -93066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/7 - (-15678)\/6097\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158284651?\nAnswer: 7, 3230299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-250)\/75*1350\/(-36)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96040*v**3*y - 260144*v**3 wrt y.\nAnswer: -96040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -6613.4781 and 4067.\nAnswer: -2546.4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 72*v. Let u(c) = -2*c. Give j(u(p)).\nAnswer: 8*p**2 - 144*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9785 at least as big as -9783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhvwvptf. What is prob of sequence vwpt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by (-1)\/(148\/(-426) + 48\/144).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 341, -5, -13 in descending order.\nAnswer: 341, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 + 2928*j**2 - 535824*j = 0.\nAnswer: 0, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*j**2*x**2 - 4*f*j**2 + 154*f*j*x**3 + 8*f*j*x**2 - 3*f*x**3 + j**2*x**3 + 2*j**2*x**2 - 5*j*x**2 - x**3 wrt x?\nAnswer: 924*f*j - 18*f + 6*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 4*o - 2*c - 26, 180 = 3*o + 3*c. Let v = 234 - o. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i + 20*i = 18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 19*i - 121. Let s be k(-26). Suppose -17*l + 126 = -s. Solve 12*u + 4 = l*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269305621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(6 - 3) + ((-459)\/(-9) - -19)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 737\/302 - -9\/151. Factor 0 + z*a**4 - 1\/2*a**2 + 0*a - 3\/2*a**5 - 1\/2*a**3.\nAnswer: -a**2*(a - 1)**2*(3*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -409\/10. Let k = -123 + 94. Let j = k - -29. What is the closest to j in -4, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 13639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -3 + r + 15\/2*r**2. List the prime factors of b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 376*y - 1760. Determine l(3).\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 825, 1159, 1491?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 821*m**2 + 126*m - 210*m**2 - 124*m to y*m + x*m**2 + f and give x.\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 6*v - 1. Suppose 0 = -3*w + 4*c - 5, 5*w - 1 = 5*c - 6. Let n be i(w). Is ((-4789)\/6 - 3\/9)*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b**2 + 1621*b - 6252. Calculate i(-89).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -20*d - 50. Let c be w(-15). Let r be 5*-2832*c\/(-3). What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v = 81*v - 3440. Calculate the remainder when v is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.8 take away 24056.1?\nAnswer: -23972.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*u + 203*u = -218*u + 42406. Calculate the remainder when u is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*a - 153*a + 36 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j = -40*j + 6. Is j > 17\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*t + 59*t + 20*t)*(2*t + 2 - 2).\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1526 - -1c66?\nAnswer: 328c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 + 3. Let z be g(-4). Let h = z - -13. Which is smaller: 2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 1. Let m be p(1). Which is the closest to 1? (a) -1\/2 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340 - 331. Let z(h) = 9 - 18 + x + 2*h. Let g(q) = 166*q**2 + 16*q - 16. Let d(y) = -33*y**2 - 3*y + 3. Let s(c) = 16*d(c) + 3*g(c). What is s(z(r))?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-39)\/255*3\/(-6) and -51\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-30))\/((-3)\/(-4)). Sort f, -3, 7.\nAnswer: -3, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 11. Let y = -115 - -181. Let o be 8\/y*l\/(-8). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 8\/44*51.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.6782 - 11?\nAnswer: 15.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 + 0.32. Let q = -14 + 14.9. Let v = t - q. What is the biggest value in 2, 1, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10)*(-3 + -5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 20153*p**2 - 6. Let v(u) = -865833285*u**2 + 257777. Calculate 257777*q(z) + 6*v(z).\nAnswer: -19829*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**5 - l + 1. Let b(q) = -2*q**5 - 19*q**4 - 28*q**2 - 4*q + 4. Let k(h) = b(h) - 4*x(h). Find the third derivative of k(w) wrt w.\nAnswer: 120*w**2 - 456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 1. Let y = -22 - o. Suppose -5*m - 5*q + 2*q + 128 = 0, -1 = -q. Calculate the remainder when m is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -159786062 and 5.\nAnswer: -798930310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-156)\/75 + (-10)\/(-5). Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/11)*w*w)\/(w*w\/w**(-1\/9)) assuming w is positive.\nAnswer: w**(124\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 357136.8 weeks in nanoseconds?\nAnswer: 215996336640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 17. Let s be g(6). Let z = 0.1 + -0.07. Let h = z - -0.37. Sort h, s, -2\/3 in decreasing order.\nAnswer: s, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.532 - 0.132. Which is the nearest to 1? (a) 2 (b) y (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*x - 41, -4*r + 27 = 4*x - 3*r. Let h = -1 - -24. What is the remainder when h is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/5 - 244*w\/5 - 249 = 0 for w.\nAnswer: -5, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -4 in decreasing order.\nAnswer: 17, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from {b: 6, f: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221101210 - 110?\nAnswer: -221102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, d: 3, b: 7, a: 1}. What is prob of sequence ab?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/6 + (-23306881)\/(-978)?\nAnswer: 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5713 + -7622?\nAnswer: -13335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 3, f: 3, l: 3, p: 1}. What is prob of sequence flp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**7\/105 - y**6\/36 + y**5\/45 - 5*y**2. What is r in a(r) = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -111. Suppose -3*j + 3 = d*r, -2*r = 2*j - 5*j + 3. Solve 0 = 9*c - r*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {x: 1, e: 8, w: 7, d: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2348 (b) 0.1 (c) -0.1 (d) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892498 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -438 divided by 73\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.887494 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.48. Let h = 4857\/14 - 53455\/154. Which is the smallest value? (a) t (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135046 is divided by 22438?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = -5. Solve r - h = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -16*w**2. Let x(y) be the third derivative of -5*y**4\/4 - 1128*y**2 + y. Give x(q(a)).\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)**(-12)*w**(-1\/4)\/((w\/w**(-2\/3))\/w) assuming w is positive.\nAnswer: w**(-443\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/14 - -1)\/1*-5024.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22913511 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637782 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 231\/(-10395)*5\/(60\/(-8))\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574708857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuhuuuhbuuuuu. Give prob of picking 1 h, 1 b, and 2 u.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k. Let c(x) = 2*x. Let o(n) = -7*c(n) - 4*r(n). Suppose 18 = 2*l + 5*s, s = -0*s + 2. Let g(d) = 2*d - 10*d + 5*d + 8 + l*d. What is g(o(t))?\nAnswer: 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -18. Let k be 8\/28 - (-6)\/(-63)*3. Let o(f) = f**3 - 2*f**2 - 3*f + 2. Let p be o(3). Solve c + k = -p*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -421884 or -422404?\nAnswer: -422404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(-4\/9))**(-22)\/((l\/l**(-2\/9)*(l\/(l\/(l\/l**(-6))))\/l*l)\/(l**5*l**(-3\/2))) assuming l is positive.\nAnswer: l**(-173\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3667*s**2 - 1 - 2*s - 2127*s**2 + 3*s - 1722*s**2.\nAnswer: -7516*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvv. Give prob of picking 3 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 0.4 (c) -329614 (d) 2 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.015? (a) 3 (b) -2 (c) -4 (d) 0 (e) -4\/11 (f) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.5 - -16.4. Let s = 7.7 - -2.3. Let z = s + o. Put z, -1, 5 in increasing order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9530 + 9529.5. What is the nearest to -4\/3 in k, 3\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-7)*84\/(-24). Suppose -4*c - f + 5 = c, -c - 10 = -v*f. Solve 2*a + 8 = 5*t, -t - a = -c*a + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - m**2 + 3*m + 4. Does 10 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 + 39 = 0. Let z(k) = 25*k. Let y(c) = -2*c + 3. Let s(a) = 4*a - 4. Let v(b) = -6*s(b) - 8*y(b). Give f*v(d) + 3*z(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4345.1 + -4346. Let f = -70 + 277\/4. Which is the third smallest value? (a) 0 (b) k (c) f (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149990 and 283.\nAnswer: 149990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21803, -21820, -21855, -21914, -22003, -22128?\n\"Answer: -l**3 - 3*l**2 - l - 21798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40730 (base 8) in base 6?\nAnswer: -210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 1 - 5. Let s(a) = 5 - a - 4*a - 10*a**b + 276*a**3 + 4*a. Let q be s(-9). What is q rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5999104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42239 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 20174 = -20750 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 d, and 1 k when four letters picked without replacement from cdjpkcjjppkppccj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*j**3 - 728*g**2 + 13*g*j**3 + 2 with respect to j.\nAnswer: 9*g**2*j**2 + 39*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 6*k**3 + 6*k**3 - 2*k**4 + 4*k + k**2 to g*k**4 + x*k**3 + m + s*k + p*k**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38142, 38145, 38148, 38151?\n\"Answer: 3*k + 38139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(8)\/sqrt(2)*-2)\/((sqrt(8) - (sqrt(8) - (sqrt(392) - sqrt(8))))\/sqrt(4)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16880997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 + 5*t**5 - 3*t**5 + (13*t + 0*t - 11*t - 1)*(0*t**4 - 3*t**4 + 5*t**4).\nAnswer: 9*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 16.3. Let g = t + -1.7. Let v = 412.1 + -411.9. Which is the second biggest value? (a) g (b) v (c) 0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 3222?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*h + 3, -3*h = -2*h - 5*j + 5. Let x = 0.14 - 0.44. What is the third smallest value in -4, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + d - 76, 4*y - 2*d - 64 - 234 = 0. Let k be y + 6\/(9\/(-3)). Suppose -3*w - k = -3*i - 8*w, 2*w = 10. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22436, 22199, 21962?\n\"Answer: -237*f + 22673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*j**3 - 165*j**2.\nAnswer: -1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 0*v**4 - v**5 + (-23165*v + 23165*v - 179*v**4 + (2*v - 1 + 1)*(-3*v**3 - v**3 + 2*v**3))*(1 - 2*v - 1).\nAnswer: 365*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15199909 + -0.152. Round i to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -180, -228, -328, -498, -756, -1120?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128746 - -186849. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/567*273\/52 + (-12)\/27?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2150*m*o**3 + 17*m - 34*o**2 wrt o?\nAnswer: -12900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58 - 0.08. Suppose 10 = -5*c + 4*n - 10, 0 = 4*c - 5*n + 16. Sort -5\/3, c, x, 4 in ascending order.\nAnswer: c, -5\/3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 480*j**4 + 17984*j**3 - 198080*j**2 - 72000*j + 800000 = 0. What is j?\nAnswer: -2, 2, 20, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)*k**(1\/4)*k**(-1\/4)\/k*k**(-5))\/((k**3*k*k**4)\/((k\/(k\/k**(-1\/2)))\/(k\/(k**(-1\/6)*k)))) assuming k is positive.\nAnswer: k**(-361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -22*y - 788. Determine g(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 935542535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-435483.\nAnswer: 8709660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66118 + -0.1.\nAnswer: 66117.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234355367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8555356 and 0.02295.\nAnswer: -8555355.97705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33329568487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 68*i - 767. Determine r(9).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21009748 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (840\/80)\/(3\/54) is divided by 108?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - -103 - (-1 - -3 - 6). Suppose 0*h - 38 = -h - 3*o, 0 = -4*h - 2*o + w. What is the remainder when h is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -2\/17 (c) -77336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 15. Let d be y(1). Does 4 divide (-6 + d + 0)*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6154100 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5060)\/(-25) + 4\/(-10). Let v = b - -707. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 164*z**5 - 5204*z**4 - 431976*z**3 - 4417936*z**2 + 19101280*z + 23092608 = 0.\nAnswer: -22, -1, 4, 2982\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/7 + 1432*k**4\/7 + 1440*k**3\/7 - 4300*k**2\/7 - 1438*k\/7 + 2868\/7 = 0.\nAnswer: -2, -1, 1, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*n - 44, 2*n = 5*y + 32 + 5. Let i(m) = 9*m**2 - 139*m + 1061. Let c be i(8). What is the greatest common factor of n and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1614, 2887, 4032, 4983, 5674, 6039, 6012?\nAnswer: 5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 divided by -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12181\/30 + 406. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -480 + 680. Let x be (q\/30)\/((-1)\/(-36)). Suppose -c + 2*c - 248 = -2*g, 2*g = 3*c + x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145747 + -1?\nAnswer: 145746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 24 = 2*i. Solve -f = i*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-87)\/72)\/(-29))\/(((-5)\/(-2))\/(-5)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 10*t = 5*t - 87654. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 18 (c) 7.7 (d) -2\/49 (e) 0.3 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6231 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -w + 2*w, -2*k + 12 = 5*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsd when three letters picked without replacement from {s: 1, u: 3, z: 3, d: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-789)\/(-6)*(0 - -34). Let z = 67018\/15 - y. Find the common denominator of z and (8 - 68\/12)*16\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/4 - 25*v**4\/12 - 10*v**3 + 90*v**2 - 4*v + 166. Factor h(c).\nAnswer: 5*(c - 6)*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 12*z = -8*z, -l = -2*z + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 210*p**2 - p + 16. Let k(j) = -419*j**2 + 3*j - 41. Calculate -2*k(b) - 5*s(b).\nAnswer: -212*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 677 = m, 884 = -46*w + 50*w + 4*m. What is the remainder when 479 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (209\/198 - -13) + -6 and (-1170)\/224 - 2\/(-7)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19039794, 19039797, 19039800, 19039803, 19039806, 19039809?\nAnswer: 19039812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48450 (base 9) in base 14?\nAnswer: -bb77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140500758.\nAnswer: 2, 3, 23416793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3914640 - 4?\nAnswer: -3914644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60021 not equal to 60091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421531 (base 7) to base 5.\nAnswer: 22042124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -13. Let v be 0 + 4 + (w - 2)\/3. Suppose 0 = 5*t - 3*q - 396, -q = v*t + q - 249. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/4 + 11*y**2\/2 - 9*y. What is the first derivative of n(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 2. Let t be f(-3). Suppose t*a = 39 + 57. Let h = a - -9. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-6)*1\/(4 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744640 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/94 - 685\/1128. Calculate the common denominator of -83\/30 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11396 = -945338*d + 945500*d + 2050 for d.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 790048?\nAnswer: 790073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1121424 to the nearest 1000.\nAnswer: -1121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11126274?\nAnswer: 2, 3, 1854379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 - 57 - 3*g + 9. Let u be h(-17). Solve 0 = 4*m + u*i + 2*i + 31, 3*m = 4*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.2006 + 0.2006. Sort i, -0.3, 0, 0.2, -1\/6 in ascending order.\nAnswer: i, -0.3, -1\/6, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452959988?\nAnswer: 2, 13, 2399, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.9 - 2.1. Let l = 14 + g. Let d = l + 2.00000003. What is d rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105897\/287300 - -4\/4225. Let w = -2\/17 - m. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.94877 centuries to millennia.\nAnswer: 0.794877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60659 - 37924. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/18 - 1\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(405)*3.\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1591509 and 1\/38936.\nAnswer: 12732072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*c = 117*c - 1395 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35405026253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 s when three letters picked without replacement from {s: 3, m: 1, k: 1, d: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 15*v + 4*x - 30 = 0, -3*x + 11 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 276, 37, 4 in decreasing order.\nAnswer: 276, 37, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}